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<compatibility multiple-assignment="MC12" local-assignment="MC12"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="35260" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="30681" left="12" top="2.25" width="399" height="98.25" align-x="12" align-y="12" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">*******************************************************************************************************</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">**<sp count="6"/> <f size="12"> <b>NCL30488 </b> </f> <f size="12"> <b>Spreadsheet for LED Power Supply</b> </f> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <sp count="29"/> </inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false">**</inlineAttr> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false">** ////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// **</inlineAttr> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false">** Made by Stéphanie CANNENTERRE</inlineAttr> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <inlineAttr line-through="false"> <f family="Arial" charset="0" size="10">** Rev: 0<sp count="5"/> </f> </inlineAttr> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <inlineAttr line-through="false"> <f family="Arial" charset="0" size="10">** Modifications: Initial spreadsheet</f> </inlineAttr> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <inlineAttr line-through="false"> <f family="Arial" charset="0" size="10"> <sp count="24"/> </f> </inlineAttr> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false">*******************************************************************************************************</inlineAttr> </f> </p> </text> </region> <region region-id="31356" left="48" top="104.25" width="295.5" height="12" align-x="54" align-y="114" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">-----------------------------------------------------------------------------------------------</p> </text> </region> <region region-id="31569" left="102" top="116.25" width="159" height="12" align-x="113.25" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>HOW TO USE THE SPREADSHEET</b> </p> </text> </region> <region region-id="31568" left="60" top="140.25" width="274.5" height="48" align-x="67.5" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This spreadsheet will calculate for you every parameter needed to design a power supply using a NCL30488 controller.</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>The zones underlined in pink need data from the user.</b> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The zones underlined in yellow are calculation results. </p> </text> </region> <region region-id="31566" left="48" top="188.25" width="295.5" height="12" align-x="54" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">------------------------------------------------------------------------------------------------</p> </text> </region> <region region-id="31525" left="6" top="228.75" width="142.5" height="14.25" align-x="19.5" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="12"> <b> <u> <inlineAttr line-through="false">INPUT DATA SECTION</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="31526" left="18" top="260.25" width="76.5" height="12" align-x="28.5" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="11"> <b>* Input Voltage</b> </f> </p> </text> </region> <region region-id="31527" left="24" top="284.25" width="116.25" height="12" align-x="42" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Minimum AC input voltage:</p> </text> </region> <region region-id="31528" left="150" top="285" width="65.25" height="16.5" align-x="189" align-y="294" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inMIN">V</ml:id> <ml:apply> <ml:mult/> <ml:real>90</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="31529" left="24" top="308.25" width="119.25" height="12" align-x="42" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum AC input voltage:</p> </text> </region> <region region-id="31530" left="150" top="309" width="74.25" height="16.5" align-x="193.5" align-y="318" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inMAX">V</ml:id> <ml:apply> <ml:mult/> <ml:real>320</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="32630" left="24" top="332.25" width="109.5" height="12" align-x="42" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Minimum line Frequency:</p> </text> </region> <region region-id="32631" left="150" top="333" width="75.75" height="16.5" align-x="195" align-y="342" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="lineMIN">F</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="32633" left="24" top="356.25" width="96" height="12" align-x="39" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Typical line frequency:</p> </text> </region> <region region-id="32634" left="150" top="357" width="57" height="16.5" align-x="176.25" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="line">F</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="31533" left="18" top="392.25" width="114" height="12" align-x="28.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="11"> <b>* Output Specification</b> </f> </p> </text> </region> <region region-id="31534" left="24" top="416.25" width="108.75" height="12" align-x="42.75" align-y="426" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum output current:</p> </text> </region> <region region-id="31535" left="150" top="417" width="53.25" height="16.5" align-x="173.25" align-y="426" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">I</ml:id> <ml:apply> <ml:mult/> <ml:real>0.5</ml:real> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="31536" left="222" top="416.25" width="105.75" height="12" align-x="235.5" align-y="426" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Minimum output voltage:</p> </text> </region> <region region-id="31537" left="336" top="417" width="71.25" height="16.5" align-x="381" align-y="426" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMIN">V</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="31538" left="222" top="440.25" width="108.75" height="12" align-x="235.5" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum output voltage:</p> </text> </region> <region region-id="31539" left="336" top="441" width="75.75" height="16.5" align-x="385.5" align-y="450" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:apply> <ml:mult/> <ml:real>40</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="31540" left="24" top="464.25" width="90.75" height="12" align-x="42.75" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Estimated efficiency:</p> </text> </region> <region region-id="31541" left="150" top="465" width="42" height="12.75" align-x="163.5" align-y="474" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">η</ml:id> <ml:apply> <ml:mult/> <ml:real>85</ml:real> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="31542" left="222" top="464.25" width="125.25" height="12" align-x="235.5" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Output diode forward voltage:</p> </text> </region> <region region-id="31543" left="354" top="465" width="39" height="16.5" align-x="371.25" align-y="474" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="f">V</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="31546" left="24" top="500.25" width="101.25" height="12" align-x="42" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Minimum output power:</p> </text> </region> <region region-id="31547" left="138" top="501" width="110.25" height="16.5" align-x="182.25" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMIN">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="out">I</ml:id> <ml:id xml:space="preserve" subscript="outMIN">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="31548" left="330" top="501" width="76.5" height="16.5" align-x="372.75" align-y="510" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMIN">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>10</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="12"/> </region> <region region-id="31549" left="24" top="524.25" width="104.25" height="12" align-x="39" align-y="534" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum output power:</p> </text> </region> <region region-id="31550" left="138" top="525" width="119.25" height="16.5" align-x="186.75" align-y="534" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMAX">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="out">I</ml:id> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="31551" left="330" top="525" width="81" height="16.5" align-x="377.25" align-y="534" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMAX">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>20</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="31552" left="18" top="554.25" width="54" height="12" align-x="36" align-y="564" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="11"> <b>* MOSFET</b> </f> <sp/> </p> </text> </region> <region region-id="31553" left="24" top="584.25" width="57.75" height="12" align-x="38.25" align-y="594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Mosfet Coss:</p> </text> </region> <region region-id="31554" left="90" top="579" width="88.5" height="22.5" align-x="120" align-y="594" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff84ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="OSS">C</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-12</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">F</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="31555" left="24" top="608.25" width="137.25" height="12" align-x="42" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">MOSFET Rdson at Tj = 110 °C:</p> </text> </region> <region region-id="33023" left="204" top="609" width="76.5" height="16.5" align-x="250.5" align-y="618" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="dson110">R</ml:id> <ml:apply> <ml:mult/> <ml:real>1.8</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="31557" left="24" top="632.25" width="129" height="12" align-x="42" align-y="642" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">MOSFET breakdown voltage: </p> </text> </region> <region region-id="31558" left="216" top="633" width="63.75" height="16.5" align-x="249" align-y="642" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="dss">BV</ml:id> <ml:apply> <ml:mult/> <ml:real>800</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="31559" left="24" top="656.25" width="222" height="12" align-x="40.5" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Derating factor for the MOSFET breakdown voltage:</p> </text> </region> <region region-id="31560" left="258" top="657" width="41.25" height="12.75" align-x="270.75" align-y="666" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">α</ml:id> <ml:apply> <ml:mult/> <ml:real>85</ml:real> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="31561" left="24" top="680.25" width="78" height="12" align-x="33.75" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Total gate charge:</p> </text> </region> <region region-id="31562" left="114" top="675" width="69" height="22.5" align-x="132.75" align-y="690" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="g">Q</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>29</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-9</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">C</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="31563" left="24" top="710.25" width="126.75" height="12" align-x="37.5" align-y="720" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Total Propagation delay time:</p> </text> </region> <region region-id="31564" left="174" top="705" width="81.75" height="22.5" align-x="202.5" align-y="720" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="prop">t</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>150</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-9</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="35242" left="0" top="732" width="6008.25" align-x="0" align-y="732" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="440.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="33960" bottom-lock-id="33989"> <region region-id="30816" left="18" top="20.25" width="102.75" height="12" align-x="37.5" align-y="30" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="11"> <b>* Controller Section</b> </f> </p> </text> </region> <region region-id="30817" left="24" top="44.25" width="102.75" height="12" align-x="42.75" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum peak current:</p> </text> </region> <region region-id="30818" left="144" top="45" width="70.5" height="15" align-x="180" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ILIMIT">V</ml:id> <ml:apply> <ml:mult/> <ml:real>1.4</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30819" left="24" top="74.25" width="185.25" height="12" align-x="39" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Internal reference voltage for CC regulation:</p> </text> </region> <region region-id="30820" left="222" top="75" width="70.5" height="15" align-x="249" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="REF">V</ml:id> <ml:apply> <ml:mult/> <ml:real>0.333</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="34046" left="24" top="98.25" width="151.5" height="15" align-x="36.75" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Internal divider from V<sub>control</sub> to V<sub>CS</sub>:</p> </text> </region> <region region-id="34047" left="198" top="99" width="33.75" height="15" align-x="219" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="div">k</ml:id> <ml:real>3</ml:real> </ml:define> </math> </region> <region region-id="32578" left="24" top="122.25" width="185.25" height="12" align-x="39" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Internal reference voltage for CV regulation:</p> </text> </region> <region region-id="32579" left="222" top="123" width="72" height="15" align-x="259.5" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="REFCV">V</ml:id> <ml:apply> <ml:mult/> <ml:real>3.5</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="33905" left="24" top="146.25" width="176.25" height="12" align-x="42" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Constant voltage OTA transconductance:</p> </text> </region> <region region-id="33906" left="222" top="141" width="90" height="21" align-x="250.5" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="mCV">g</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">S</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30821" left="24" top="176.25" width="94.5" height="12" align-x="36.75" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Brown-out thresholds:</p> </text> </region> <region region-id="30822" left="150" top="177" width="58.5" height="15" align-x="180.75" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="BOon">V</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30823" left="270" top="177" width="66" height="15" align-x="301.5" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="BOoff">V</ml:id> <ml:apply> <ml:mult/> <ml:real>0.9</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="32568" left="24" top="200.25" width="195" height="15" align-x="39" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Internal coefficient for V<sub>HV</sub> to V<sub>VS</sub> conversion:</p> </text> </region> <region region-id="32570" left="246" top="201" width="52.5" height="15" align-x="270" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HV">K</ml:id> <ml:real>0.008</ml:real> </ml:define> </math> </region> <region region-id="30824" left="24" top="230.25" width="198.75" height="12" align-x="39" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Voltage to current conversion ratio on VIN pin:</p> </text> </region> <region region-id="30825" left="246" top="224.25" width="93.75" height="27.75" align-x="273" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="LFF">K</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>17</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">A</ml:id> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="30826" left="24" top="254.25" width="126.75" height="12" align-x="42.75" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum current in ZCD pin:</p> </text> </region> <region region-id="30827" left="162" top="249" width="93.75" height="21" align-x="196.5" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ZCDpin">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30828" left="24" top="278.25" width="108" height="12" align-x="33" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">ZCD input clamp voltage:</p> </text> </region> <region region-id="30829" left="162" top="279" width="80.25" height="15" align-x="207.75" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ZCDclamp">V</ml:id> <ml:apply> <ml:mult/> <ml:real>9.5</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30830" left="24" top="302.25" width="213" height="12" align-x="44.25" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Threshold for leakage inductance reset detection:</p> </text> </region> <region region-id="30831" left="252" top="303" width="70.5" height="15" align-x="279" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ThR">V</ml:id> <ml:apply> <ml:mult/> <ml:real>0.054</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30832" left="24" top="326.25" width="146.25" height="12" align-x="44.25" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Threshold for line range detection:</p> </text> </region> <region region-id="30833" left="180" top="327" width="57" height="15" align-x="202.5" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HL">V</ml:id> <ml:apply> <ml:mult/> <ml:real>2.4</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30836" left="24" top="356.25" width="224.25" height="12" align-x="37.5" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Supply Current device enabled, no load on DRV pin:</p> </text> </region> <region region-id="30837" left="258" top="351" width="90" height="21" align-x="282" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CC2">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2.1</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30838" left="24" top="380.25" width="150.75" height="12" align-x="38.25" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Startup threshold (minimum value):</p> </text> </region> <region region-id="30839" left="186" top="381" width="63" height="15" align-x="216.75" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CCon">V</ml:id> <ml:apply> <ml:mult/> <ml:real>16</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="30840" left="24" top="398.25" width="145.5" height="12" align-x="36" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">UVLO threshold (minimum value):</p> </text> </region> <region region-id="30841" left="186" top="399" width="66" height="15" align-x="217.5" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CCoff">V</ml:id> <ml:apply> <ml:mult/> <ml:real>8.2</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> </region> </area> <rendering item-idref="21"/> </region> <region region-id="30875" left="6" top="756.75" width="319.5" height="14.25" align-x="19.5" align-y="768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="12"> <b> <u>FLYBACK TRANSFORMER CALCULATION</u> </b> </f> </p> </text> </region> <region region-id="32458" left="12" top="794.25" width="310.5" height="15" align-x="21" align-y="804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false">* </inlineAttr> </b> </f> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">Primary to secondary turn ratio calculation </inlineAttr> </u> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false">(N</inlineAttr> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false"> <sub>sp</sub> </inlineAttr> </b> </f> <f family="Arial" charset="0"> <inlineAttr underline="false" line-through="false"> <b>=N</b> </inlineAttr> </f> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false"> <sub>s</sub> </inlineAttr> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false">/N</inlineAttr> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false"> <sub>p</sub> </inlineAttr> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false">)</inlineAttr> </b> </f> </p> </text> </region> <region region-id="30803" left="24" top="824.25" width="301.5" height="12" align-x="42" align-y="834" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Minimum DC voltage including bulk ripple (for transformer calculation):</p> </text> </region> <region region-id="30791" left="24" top="847.5" width="104.25" height="18" align-x="73.5" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inMINpk">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="inMIN">V</ml:id> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="30793" left="24" top="878.25" width="187.5" height="15" align-x="39.75" align-y="888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Leakage inductance ratio (k<sub>leak</sub> = L<sub>leak</sub> / L<sub>p</sub>)</p> </text> </region> <region region-id="30794" left="24" top="903" width="51.75" height="16.5" align-x="51.75" align-y="912" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="leak">k</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="30797" left="24" top="932.25" width="174.75" height="12" align-x="35.25" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Clamping diode recovery time overshoot:</p> </text> </region> <region region-id="30798" left="204" top="933" width="48.75" height="16.5" align-x="226.5" align-y="942" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="os">V</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="30799" left="24" top="963" width="89.25" height="16.5" align-x="69.75" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="dsMAX">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="dss">BV</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="30800" left="324" top="975" width="78.75" height="16.5" align-x="368.25" align-y="984" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="dsMAX">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>680</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="32496" left="24" top="992.25" width="164.25" height="12" align-x="37.5" align-y="1002" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Output voltage for fast OVP triggering:</p> </text> </region> <region region-id="32497" left="24" top="1011" width="109.5" height="16.5" align-x="68.25" align-y="1020" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:real>1.3</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="33066" left="312" top="1011" width="72.75" height="16.5" align-x="354.75" align-y="1020" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="32515" left="24" top="1040.25" width="240.75" height="15" align-x="42" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Estimated Clamping coefficient (k<f family="Arial" charset="0"> <inlineAttr line-through="false"> <sub>c</sub> </inlineAttr> </f> = V<f family="Arial" charset="0"> <inlineAttr line-through="false"> <sub>clamp </sub> </inlineAttr> </f>/ V<f family="Arial" charset="0"> <inlineAttr line-through="false"> <sub>reflect</sub> </inlineAttr> </f>):</p> </text> </region> <region region-id="33058" left="336" top="1041" width="35.25" height="16.5" align-x="351.75" align-y="1050" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="c">k</ml:id> <ml:real>1.5</ml:real> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="34939" left="24" top="1058.25" width="213" height="15" align-x="38.25" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">( k<sub>c</sub> value should be selected between 1.5 and 2) </p> </text> </region> <region region-id="32517" left="24" top="1096.5" width="173.25" height="36.75" align-x="52.5" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sp1">N</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="c">k</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="dss">BV</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="os">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="inMAX">V</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="32518" left="342" top="1107" width="60.75" height="16.5" align-x="369" align-y="1116" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sp1">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.38322180687509333</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="32292" left="24" top="1148.25" width="273" height="12" align-x="39" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Choose maximum duty-cycle at sinus top, max Pout, low Line:</p> </text> </region> <region region-id="32293" left="330" top="1149" width="43.5" height="16.5" align-x="354" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="LL">D</ml:id> <ml:real>0.5</ml:real> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="32448" left="24" top="1178.25" width="84.75" height="12" align-x="42" align-y="1188" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Calculate turn ratio:</p> </text> </region> <region region-id="32449" left="24" top="1198.5" width="156.75" height="36.75" align-x="52.5" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sp2">N</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="LL">D</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="LL">D</ml:id> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="inMIN">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="32454" left="330" top="1215" width="60.75" height="16.5" align-x="357" align-y="1224" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sp2">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.3221264225405383</ml:real> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="32455" left="24" top="1250.25" width="272.25" height="30" align-x="33.75" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Enter your value for N<sub>sp</sub> (<c val="#f00">must be equal or greater than N</c> <c val="#f00"> <sub>sp1</sub> </c> <c val="#f00"> and N</c> <c val="#f00"> <sub>sp2</sub> </c> <c val="#f00">)</c>:</p> </text> </region> <region region-id="33043" left="330" top="1244.25" width="89.25" height="27.75" align-x="354" align-y="1260" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2.13</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.46948356807511737</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="32459" left="12" top="1298.25" width="291" height="15" align-x="18" align-y="1308" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="10"> <b> <inlineAttr underline="false" line-through="false">* </inlineAttr> </b> </f> <f family="Arial" charset="0" size="10"> <b> <u> <inlineAttr line-through="false">I</inlineAttr> </u> </b> </f> <f family="Arial" charset="0" size="10"> <b> <u> <inlineAttr line-through="false"> <sub>pk</sub> </inlineAttr> </u> </b> </f> <f family="Arial" charset="0" size="10"> <b> <u> <inlineAttr line-through="false"> and L</inlineAttr> </u> </b> </f> <f family="Arial" charset="0" size="10"> <b> <u> <inlineAttr line-through="false"> <sub>p</sub> </inlineAttr> </u> </b> </f> <f family="Arial" charset="0" size="10"> <b> <u> <inlineAttr line-through="false"> calculation including the dead-time</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="32182" left="18" top="1322.25" width="68.25" height="12" align-x="22.5" align-y="1332" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">At sinusoid top:</p> </text> </region> <region region-id="32186" left="18" top="1342.5" width="168" height="36.75" align-x="38.25" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="pk">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="inMIN">V</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" font="1" subscript="sp">N</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="32187" left="18" top="1401" width="61.5" height="16.5" align-x="36.75" align-y="1410" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="pk">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.5832199812313115</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="33995" left="18" top="1424.25" width="378.75" height="39" align-x="33" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Choose Lp so that the switching frequency is below 130 kHz (Fsw) at the low line range nominal voltage (typ 115 V rms).</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Practically, we can decide to meet this target starting from V<sub>in,pk </sub>/ 2:</p> </text> </region> <region region-id="33996" left="18" top="1467" width="75" height="16.5" align-x="62.25" align-y="1476" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inLLtyp">V</ml:id> <ml:apply> <ml:mult/> <ml:real>115</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="34948" left="156" top="1485" width="67.5" height="16.5" align-x="179.25" align-y="1494" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sw">F</ml:id> <ml:apply> <ml:mult/> <ml:real>80000</ml:real> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="33997" left="18" top="1490.25" width="117.75" height="15" align-x="30.75" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Target F<sub>sw</sub> at V<sub>inLLtyp,pk</sub> / 2:</p> </text> </region> <region region-id="32477" left="18" top="1519.5" width="288" height="71.25" align-x="35.25" align-y="1560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="sw">F</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="outMAX">P</ml:id> </ml:apply> <ml:id xml:space="preserve">η</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="inLLtyp">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="inLLtyp">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="32478" left="18" top="1605" width="90" height="22.5" align-x="33.75" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="p">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.000651876041886781</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="henry"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="34001" left="12" top="1634.25" width="405" height="51" align-x="21.75" align-y="1644" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8080" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <u>Note</u> </b>: The value of L<sub>p</sub> may need to be adjusted later on to make sure that the demagnetization time is always above 2 µs when the output load is between 100% to 25% of nominal output load to garanty a proper CV operation (see: OUTPUT CURRENT VARIATION PARAGRAPH)<sp count="2"/> </p> </text> </region> <region region-id="32417" left="18" top="1700.25" width="111.75" height="12" align-x="27.75" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>Enter your value for Lp:</b> </p> </text> </region> <region region-id="32418" left="156" top="1695" width="72.75" height="22.5" align-x="173.25" align-y="1710" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>600</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">H</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="31015" left="18" top="1742.25" width="290.25" height="12" align-x="24" align-y="1752" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="10"> <b> <inlineAttr underline="false" line-through="false">* </inlineAttr> </b> </f> <f family="Arial" charset="0" size="10"> <b> <u> <inlineAttr line-through="false">Primary and secondary rms current calculation</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="31022" left="24" top="1772.25" width="350.25" height="15" align-x="38.25" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Primary rms current at Sinus top (rms value over 1 switching cycle) and V<sub>out,max</sub>:</p> </text> </region> <region region-id="32552" left="24" top="1795.5" width="280.5" height="38.25" align-x="64.5" align-y="1818" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="priRMS">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>2</ml:real> <ml:apply> <ml:sqrt/> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="out">I</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="inMIN">V</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="inMIN">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="32554" left="24" top="1845" width="81.75" height="16.5" align-x="63" align-y="1854" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="priRMS">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.39339212184688188</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="31025" left="24" top="1886.25" width="156" height="15" align-x="45" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Secondary peak current at V<sub>out,max</sub>:</p> </text> </region> <region region-id="31026" left="24" top="1906.5" width="64.5" height="35.25" align-x="60" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="pkSEC">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="pk">I</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="45"/> </region> <region region-id="34099" left="324" top="1917" width="77.25" height="16.5" align-x="358.5" align-y="1926" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="pkSEC">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.3722585600226935</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="31028" left="24" top="1946.25" width="363" height="15" align-x="24" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Secondary rms current at Sinus top (rms value over 1 switching cycle) and V<sub>out,max</sub>:</p> </text> </region> <region region-id="32535" left="24" top="1977" width="214.5" height="38.25" align-x="67.5" align-y="1998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="secRMS">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>8</ml:real> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="inMIN">V</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="34098" left="324" top="1989" width="84.75" height="16.5" align-x="366" align-y="1998" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="secRMS">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.0115847775209357</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="33368" left="18" top="2036.25" width="169.5" height="12" align-x="36" align-y="2046" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* </inlineAttr> </b> <b> <u>Sense resistor calculation</u> </b> </p> </text> </region> <region region-id="34940" left="24" top="2056.5" width="96" height="35.25" align-x="64.5" align-y="2076" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">Rsense</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="REF">V</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="34941" left="318" top="2079" width="81.75" height="16.5" align-x="357" align-y="2088" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">Rsense</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.70929000000000009</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="50"/> </region> <region region-id="34942" left="24" top="2102.25" width="187.5" height="12" align-x="45.75" align-y="2112" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>Enter the normalized value for Rsense: </b> </p> </text> </region> <region region-id="34943" left="222" top="2103" width="66" height="16.5" align-x="258" align-y="2112" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff95ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sense">R</ml:id> <ml:apply> <ml:mult/> <ml:real>0.7</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="34944" left="24" top="2126.25" width="152.25" height="12" align-x="36" align-y="2136" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Power dissipated in sense resistor:</p> </text> </region> <region region-id="34945" left="24" top="2145" width="114" height="22.5" align-x="59.25" align-y="2160" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sense">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sense">R</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="priRMS">I</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="52"/> </region> <region region-id="34946" left="318" top="2157" width="78.75" height="16.5" align-x="351.75" align-y="2166" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="sense">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.10833015307183437</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> <region region-id="31038" left="18" top="2180.25" width="177" height="12" align-x="35.25" align-y="2190" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* </inlineAttr> </b> <b> <u>Auxiliary winding turn ratio</u> </b> </p> </text> </region> <region region-id="31039" left="24" top="2204.25" width="153" height="15" align-x="39" align-y="2214" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Desired value for V<sub>CC</sub> at V<sub>out,min</sub>:</p> </text> </region> <region region-id="31040" left="192" top="2205" width="57.75" height="16.5" align-x="216.75" align-y="2214" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CC">V</ml:id> <ml:apply> <ml:mult/> <ml:real>10.5</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="31041" left="24" top="2224.5" width="107.25" height="35.25" align-x="51.75" align-y="2244" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="aux">N</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="CC">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMIN">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="55"/> </region> <region region-id="34093" left="324" top="2235" width="60" height="16.5" align-x="350.25" align-y="2244" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="aux">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.25709814442208812</ml:real> </result> </ml:eval> </math> <rendering item-idref="56"/> </region> <region region-id="31582" left="24" top="2270.25" width="108.75" height="15" align-x="34.5" align-y="2280" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Enter your value for N<sub>aux</sub>:</p> </text> </region> <region region-id="31583" left="162" top="2264.25" width="43.5" height="27.75" align-x="189.75" align-y="2280" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="aux">N</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>4</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="31043" left="24" top="2300.25" width="171" height="15" align-x="32.25" align-y="2310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">V<sub>CC</sub> value at maximum output voltage: </p> </text> </region> <region region-id="31044" left="24" top="2320.5" width="170.25" height="35.25" align-x="63.75" align-y="2340" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="max">VCC</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="aux">N</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="31045" left="324" top="2337" width="84" height="16.5" align-x="362.25" align-y="2346" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="max">VCC</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>20.8325</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="59"/> </region> <region region-id="33064" left="24" top="2366.25" width="211.5" height="12" align-x="35.25" align-y="2376" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Verify at which output voltage VCC OVP triggers:</p> </text> </region> <region region-id="33069" left="24" top="2385" width="69" height="16.5" align-x="66.75" align-y="2394" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CCOVP">V</ml:id> <ml:apply> <ml:mult/> <ml:real>28</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="33074" left="24" top="2404.5" width="150" height="35.25" align-x="72.75" align-y="2424" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outOVP2">V</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="aux">N</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="CCOVP">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="33380" left="318" top="2415" width="88.5" height="16.5" align-x="365.25" align-y="2424" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outOVP2">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>54.460093896713616</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="62"/> </region> <region region-id="33083" left="24" top="2456.25" width="382.5" height="15" align-x="27" align-y="2466" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>If V</b> <b> <sub>outOVP2</sub> </b> <b> is smaller than V</b> <b> <sub>outOVP</sub> </b> <b>, then V</b> <b> <sub>CC</sub> </b> <b> OVP will trigger before the fast OVP</b>.</p> </text> </region> <region region-id="33919" left="18" top="2486.25" width="177" height="12" align-x="35.25" align-y="2496" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* </inlineAttr> </b> <b> <u>Output diode peak inverse voltage</u> </b> </p> </text> </region> <region region-id="33920" left="24" top="2503.5" width="192.75" height="18" align-x="65.25" align-y="2514" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Dout">PIV</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="inMAX">V</ml:id> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="33922" left="318" top="2505" width="90" height="16.5" align-x="357.75" align-y="2514" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Dout">PIV</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>265.46400937060582</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="64"/> </region> <region region-id="33925" left="24" top="2534.25" width="365.25" height="12" align-x="39" align-y="2544" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Choose a secondary rectifier with a breakdown voltage twice the one calulated above</p> </text> </region> <region region-id="32606" left="6" top="2568.75" width="126.75" height="14.25" align-x="51.75" align-y="2580" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="12"> <b> <u>OUTPUT CAPACITOR</u> </b> </f> <sp/> </p> </text> </region> <region region-id="32620" left="18" top="2594.25" width="378" height="12" align-x="25.5" align-y="2604" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The output capacitor must be large enough to avoid excessive current ripple in the LED.</p> </text> </region> <region region-id="32621" left="18" top="2618.25" width="395.25" height="24" align-x="33.75" align-y="2628" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Specify the ratio peak to peak ripple over dc output current value (cannot be grater than 1 to respect flicker index):</p> </text> </region> <region region-id="32617" left="18" top="2649" width="71.25" height="16.5" align-x="65.25" align-y="2658" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="IoutPPR">K</ml:id> <ml:real>0.33</ml:real> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="32627" left="18" top="2672.25" width="162.75" height="12" align-x="36" align-y="2682" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Minimum dynamic resistance of LED:</p> </text> </region> <region region-id="32628" left="222" top="2673" width="72" height="16.5" align-x="266.25" align-y="2682" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="LEDmin">R</ml:id> <ml:apply> <ml:mult/> <ml:real>12</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="66"/> </region> <region region-id="32636" left="18" top="2694" width="152.25" height="57.75" align-x="63" align-y="2736" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMIN">C</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="IoutPPR">K</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="lineMIN">F</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="LEDmin">R</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="67"/> </region> <region region-id="32648" left="300" top="2727" width="116.25" height="22.5" align-x="343.5" align-y="2742" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="outMIN">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.00079279543688450481</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="farad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="68"/> </region> <region region-id="32638" left="18" top="2768.25" width="132.75" height="12" align-x="32.25" align-y="2778" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Output capacitor RMS current:</p> </text> </region> <region region-id="32639" left="18" top="2791.5" width="138.75" height="24" align-x="67.5" align-y="2808" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CoutRMS">I</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="secRMS">I</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="out">I</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="69"/> </region> <region region-id="34101" left="300" top="2805" width="90.75" height="16.5" align-x="348" align-y="2814" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CoutRMS">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.879376916977061</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="70"/> </region> <region region-id="32646" left="18" top="2834.25" width="261" height="15" align-x="33" align-y="2844" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Choose C<sub>out</sub> value such that it can handle the RMS current: </p> </text> </region> <region region-id="33539" left="18" top="2853" width="80.25" height="22.5" align-x="44.25" align-y="2868" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">C</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>660</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">F</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="71"/> </region> <region region-id="33540" left="168" top="2853" width="68.25" height="22.5" align-x="184.5" align-y="2868" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="C">r</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="72"/> </region> <region region-id="30906" left="6" top="2904.75" width="258.75" height="14.25" align-x="66.75" align-y="2916" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f size="12"> <b> <u>COMPONENTS AROUND THE CONTROLLER</u> </b> </f> </p> </text> </region> <region region-id="35042" left="18" top="2930.25" width="270.75" height="15" align-x="27" align-y="2940" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* </inlineAttr> </b> <b> <u>V</u> </b> <b> <u> <sub>CC</sub> </u> </b> <b> <u> capacitor</u> </b> </p> </text> </region> <region region-id="35051" left="24" top="2949" width="54" height="16.5" align-x="46.5" align-y="2958" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="reg">t</ml:id> <ml:apply> <ml:mult/> <ml:real>0.05</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="73"/> </region> <region region-id="35050" left="24" top="2974.5" width="127.5" height="35.25" align-x="51" align-y="2994" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vcc">C</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="CC2">I</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="g">Q</ml:id> <ml:id xml:space="preserve" subscript="sw">F</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="reg">t</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="CCon">V</ml:id> <ml:id xml:space="preserve" subscript="CCoff">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="74"/> </region> <region region-id="35049" left="300" top="2991" width="98.25" height="22.5" align-x="325.5" align-y="3006" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vcc">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.8333333333333335E-05</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="farad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="75"/> </region> <region region-id="31061" left="18" top="3038.25" width="248.25" height="15" align-x="36" align-y="3048" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* </inlineAttr> </b> <b> <u>Line feedforward resistor R</u> </b> <b> <u> <sub>LFF</sub> </u> </b> <b> <u> calculation</u> </b> </p> </text> </region> <region region-id="32571" left="24" top="3064.5" width="134.25" height="35.25" align-x="57" align-y="3084" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="LFF1">R</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:div/> <ml:real font="0">1</ml:real> <ml:id xml:space="preserve" subscript="HV">K</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="prop">t</ml:id> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="LFF">K</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="76"/> </region> <region region-id="31063" left="312" top="3075" width="99" height="22.5" align-x="343.5" align-y="3090" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="LFF1">R</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1286.7647058823529</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="77"/> </region> <region region-id="31064" left="24" top="3116.25" width="113.25" height="15" align-x="33.75" align-y="3126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Enter your value for R<sub>LFF</sub>:</p> </text> </region> <region region-id="31065" left="150" top="3117" width="65.25" height="16.5" align-x="178.5" align-y="3126" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="LFF">R</ml:id> <ml:apply> <ml:mult/> <ml:real>1500</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="78"/> </region> <region region-id="34952" left="24" top="3146.25" width="161.25" height="12" align-x="34.5" align-y="3156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Enter your value for CS pin capacitor:</p> </text> </region> <region region-id="34953" left="204" top="3141" width="78" height="22.5" align-x="228" align-y="3156" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="CS">C</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>22</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-12</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">F</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="79"/> </region> <region region-id="31066" left="18" top="3176.25" width="270.75" height="12" align-x="27" align-y="3186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* </inlineAttr> </b> <b> <u>ZCD pin resistor calculation</u> </b> </p> </text> </region> <region region-id="32572" left="24" top="3196.5" width="154.5" height="35.25" align-x="70.5" align-y="3216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="AUXreg">V</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="aux">N</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="80"/> </region> <region region-id="32573" left="288" top="3213" width="90.75" height="16.5" align-x="333" align-y="3222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="AUXreg">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>21.8325</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="81"/> </region> <region region-id="32587" left="24" top="3236.25" width="204.75" height="15" align-x="33.75" align-y="3246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Ratio R<sub>ZCDU</sub> / R<sub>ZCDL</sub> for output voltage setpoint:</p> </text> </region> <region region-id="32591" left="24" top="3256.5" width="99.75" height="35.25" align-x="56.25" align-y="3276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ZCD">K</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="AUXreg">V</ml:id> <ml:id xml:space="preserve" subscript="REFCV">V</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="82"/> </region> <region region-id="32590" left="246" top="3267" width="64.5" height="16.5" align-x="276.75" align-y="3276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ZCD">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>5.237857142857143</ml:real> </result> </ml:eval> </math> <rendering item-idref="83"/> </region> <region region-id="32592" left="24" top="3302.25" width="321.75" height="15" align-x="39" align-y="3312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Choose a value for the upper resistor (R<sub>ZCDU</sub>) between 10 kΩ and 100 kΩ: </p> </text> </region> <region region-id="34955" left="24" top="3315" width="82.5" height="22.5" align-x="62.25" align-y="3330" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ZCDU">R</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>43</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="84"/> </region> <region region-id="34959" left="24" top="3344.25" width="145.5" height="12" align-x="42" align-y="3354" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Calculate the lower resistor value:</p> </text> </region> <region region-id="34960" left="24" top="3364.5" width="79.5" height="35.25" align-x="60.75" align-y="3384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ZCDL">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="ZCDU">R</ml:id> <ml:id xml:space="preserve" subscript="ZCD">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="85"/> </region> <region region-id="34961" left="258" top="3369" width="102.75" height="22.5" align-x="293.25" align-y="3384" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ZCDL">R</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8209.4640665484785</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="86"/> </region> <region region-id="34106" left="12" top="3426.75" width="247.5" height="17.25" align-x="37.5" align-y="3438" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="12"> <b> <u>THEORICAL WAVEFORMS </u> </b> </f> <f size="12"> <b> <inlineAttr underline="false">(V</inlineAttr> </b> </f> <f size="12"> <b> <inlineAttr underline="false"> <sub>CS</sub> </inlineAttr> </b> </f> <f size="12"> <b> <inlineAttr underline="false">, F</inlineAttr> </b> </f> <f size="12"> <b> <inlineAttr underline="false"> <sub>sw</sub> </inlineAttr> </b> </f> <f size="12"> <b> <inlineAttr underline="false">, t</inlineAttr> </b> </f> <f size="12"> <b> <inlineAttr underline="false"> <sub>demag</sub> </inlineAttr> </b> </f> <f size="12"> <b> <inlineAttr underline="false">)</inlineAttr> </b> </f> </p> </text> </region> <region region-id="33339" left="18" top="3464.25" width="240" height="12" align-x="27" align-y="3474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Time variable for zoom and operating point calculations:</p> </text> </region> <region region-id="34040" left="18" top="3489" width="77.25" height="16.5" align-x="48.75" align-y="3498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out1">V</ml:id> <ml:id xml:space="preserve" subscript="outMIN">V</ml:id> </ml:define> </math> <rendering item-idref="87"/> </region> <region region-id="34087" left="150" top="3489" width="81.75" height="16.5" align-x="180.75" align-y="3498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out2">V</ml:id> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> </ml:define> </math> <rendering item-idref="88"/> </region> <region region-id="32205" left="18" top="3518.25" width="267" height="12" align-x="28.5" align-y="3528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Enter the line voltage and frequency to plot the output current:</p> </text> </region> <region region-id="32206" left="18" top="3537" width="71.25" height="16.5" align-x="63" align-y="3546" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#f0f" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inLLrms">V</ml:id> <ml:apply> <ml:mult/> <ml:real>90</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="89"/> </region> <region region-id="32207" left="114" top="3537" width="57" height="16.5" align-x="140.25" align-y="3546" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#f0f" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="line">F</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="90"/> </region> <region region-id="33340" left="240" top="3537" width="77.25" height="16.5" align-x="286.5" align-y="3546" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inHLrms">V</ml:id> <ml:apply> <ml:mult/> <ml:real>140</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="91"/> </region> <region region-id="34052" left="18" top="3572.25" width="73.5" height="31.5" align-x="38.25" align-y="3588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fin">t</ml:id> <ml:parens> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="line">F</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="92"/> </region> <region region-id="34053" left="168" top="3579" width="49.5" height="16.5" align-x="186.75" align-y="3588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fin">t</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.4</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="93"/> </region> <region region-id="34054" left="18" top="3609" width="95.25" height="22.5" align-x="27.75" align-y="3624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>0.25</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:sequence> <ml:id xml:space="preserve" subscript="fin">t</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="94"/> </region> <region region-id="33665" left="18" top="3644.25" width="128.25" height="31.5" align-x="50.25" align-y="3660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="start2">t</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="fin">t</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="line">F</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.38</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="95"/> </region> <region region-id="34110" left="18" top="3680.25" width="110.25" height="15" align-x="27" align-y="3690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Time variable for zoom: t<sub>2</sub> </p> </text> </region> <region region-id="33666" left="18" top="3705" width="153.75" height="22.5" align-x="32.25" align-y="3720" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">t</ml:id> <ml:range> <ml:sequence> <ml:id xml:space="preserve" subscript="start2">t</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" font="1" subscript="start2">t</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>0.1</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:sequence> <ml:id xml:space="preserve" subscript="fin">t</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="96"/> </region> <region region-id="32210" left="18" top="3739.5" width="148.5" height="18" align-x="51" align-y="3750" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inPK">V</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="inLLrms">V</ml:id> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>127.27922061357856</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="97"/> </region> <region region-id="32209" left="18" top="3765" width="150" height="16.5" align-x="59.25" align-y="3774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:absval/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="inPK">V</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="line">F</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="98"/> </region> <region region-id="32929" left="228" top="3763.5" width="179.25" height="18" align-x="270.75" align-y="3774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:absval/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="inHLrms">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="line">F</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="99"/> </region> <region region-id="35243" left="0" top="3783" width="6008.25" align-x="0" align-y="3783" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="236.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="34487" bottom-lock-id="34531"> <region region-id="34055" left="18" top="29.25" width="272.25" height="99.75" align-x="64.5" align-y="44.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="REFX">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>360</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessThan/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>360</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>360</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:ifThen> <ml:otherwise> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>360</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:parens> </ml:otherwise> </ml:program> </ml:define> </math> </region> <region region-id="32308" left="24" top="136.5" width="132.75" height="12" align-x="29.25" align-y="146.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">To simplify expression writting:</p> </text> </region> <region region-id="33309" left="186" top="137.25" width="74.25" height="16.5" align-x="205.5" align-y="146.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="O">V</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="out2">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="33310" left="312" top="137.25" width="78.75" height="16.5" align-x="336" align-y="146.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="O1">V</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="out1">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="33311" left="24" top="161.25" width="105.75" height="16.5" align-x="61.5" align-y="170.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="32310" left="24" top="191.25" width="153" height="22.5" align-x="39" align-y="206.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="v">t</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="OSS">C</ml:id> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>7.695298980971184E-07</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> </region> </area> <rendering item-idref="100"/> </region> <region region-id="35244" left="0" top="3801" width="6008.25" align-x="0" align-y="3801" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="818.25"> <confidentialArea item-idref="101"/> <rendering item-idref="102"/> </region> <region region-id="35246" left="0" top="3822" width="6008.25" align-x="0" align-y="3822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="308.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="false" allow-expand="false" is-locked="false" timestamp="" top-lock-id="34565" bottom-lock-id="34611"> <region region-id="34564" left="6" top="10.5" width="355.5" height="12" align-x="11.25" align-y="20.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">CC operation neglecting leakage inductance and propagation delays:</p> </text> </region> <region region-id="34076" left="12" top="29.25" width="1249.5" height="42.75" align-x="57" align-y="56.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="CSLL">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="O">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="v">n</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="34077" left="12" top="83.25" width="1281" height="42.75" align-x="61.5" align-y="110.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="CSLL1">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="O1">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O1">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O1">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O1">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O1">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="v">n</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="O1">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="34078" left="12" top="143.25" width="1272" height="42.75" align-x="58.5" align-y="170.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="CSHL">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="O">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="vHL">n</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="34079" left="12" top="191.25" width="1429.5" height="42.75" align-x="66" align-y="218.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="CSLL3">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="v">n</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="refPFC">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="div">k</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="33330" left="12" top="251.25" width="250.5" height="36.75" align-x="79.5" align-y="260.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="CSLLOVP">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL3">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="ILIMIT">V</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL3">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:ifThen> <ml:otherwise> <ml:id xml:space="preserve" subscript="ILIMIT">V</ml:id> </ml:otherwise> </ml:program> </ml:define> </math> </region> </area> <rendering item-idref="103"/> </region> <region region-id="34615" left="12" top="3849.75" width="153.75" height="35.25" align-x="69" align-y="3869.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="demagLL">t</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="104"/> </region> <region region-id="34614" left="210" top="3849.75" width="162.75" height="35.25" align-x="271.5" align-y="3869.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="demagLL1">t</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O1">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL1">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="105"/> </region> <region region-id="34613" left="438" top="3849.75" width="156.75" height="35.25" align-x="496.5" align-y="3869.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="demagHL">t</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="106"/> </region> <region region-id="35201" left="630" top="3855.75" width="131.25" height="35.25" align-x="671.25" align-y="3875.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="onLL">t</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="107"/> </region> <region region-id="33394" left="12" top="3897.75" width="303" height="35.25" align-x="57" align-y="3917.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="swLL">T</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="v">n</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="108"/> </region> <region region-id="33517" left="438" top="3901.5" width="93.75" height="31.5" align-x="482.25" align-y="3917.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="swLL">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="swLL">T</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="109"/> </region> <region region-id="35195" left="630" top="3903.75" width="142.5" height="35.25" align-x="668.25" align-y="3923.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="inLL">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="onLL">t</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="swLL">T</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="110"/> </region> <region region-id="35202" left="636" top="3951.75" width="135.75" height="35.25" align-x="678.75" align-y="3971.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="onHL">t</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="111"/> </region> <region region-id="33395" left="12" top="3957.75" width="312" height="35.25" align-x="61.5" align-y="3977.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="swLL1">T</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLL1">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="O1">V</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="v">n</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="112"/> </region> <region region-id="33519" left="438" top="3961.5" width="102.75" height="31.5" align-x="486.75" align-y="3977.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="swLL1">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="swLL1">T</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="113"/> </region> <region region-id="33396" left="12" top="4005.75" width="319.5" height="35.25" align-x="58.5" align-y="4025.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="swHL">T</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="inHL">V</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="vHL">n</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="114"/> </region> <region region-id="33334" left="438" top="4009.5" width="96.75" height="31.5" align-x="483.75" align-y="4025.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="swHL">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="swHL">T</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="115"/> </region> <region region-id="34964" left="12" top="4039.5" width="384.75" height="50.25" align-x="78.75" align-y="4055.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="swLLOVP">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="CSLLOVP">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="inLL">V</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="v">n</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="FF">t</ml:id> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="116"/> </region> <region region-id="35197" left="576" top="4061.25" width="411" height="220.5" align-x="576" align-y="4061.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="117"/> <rendering item-idref="118"/> </region> <region region-id="34081" left="12" top="4105.5" width="350.25" height="174" align-x="21.75" align-y="4115.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>Plots description:</b> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- V<sub>CSLL</sub>(t): current sense voltage at V<sub>out2</sub> (by default V<sub>outMAX</sub>) and V<sub>inLLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- V<sub>CSLL1</sub>(t): current sense voltage at V<sub>out1</sub> (by default V<sub>outMIN</sub>) and V<sub>inLLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- V<sub>CSHL</sub>(t): current sense voltage at V<sub>out2</sub> (by default V<sub>outMAX</sub>) and V<sub>inHLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- V<sub>CSLLOVP</sub>(t<sub>2</sub>): current sense voltage at V<sub>outOVP</sub> and V<sub>inLLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- t<sub>demag</sub> <sub>LL</sub>(t): demagnetization duration at V<sub>out2</sub> (by default V<sub>outMAX</sub>) and V<sub>inLLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- t<sub>demagH</sub> <sub>L</sub>(t): demagnetization duration at V<sub>out2</sub> (by default V<sub>outMAX</sub>) and V<sub>inHLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- F<sub>sw</sub> <sub>LL</sub>(t<sub>2</sub>): switching frequency at V<sub>out2</sub> (by default V<sub>outMAX</sub>) and V<sub>inLLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- F<sub>swH</sub> <sub>L</sub>(t<sub>2</sub>): switching frequency at V<sub>out2</sub> (by default V<sub>outMAX</sub>) and V<sub>inHLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- F<sub>swL</sub> <sub>L1</sub>(t<sub>2</sub>): switching frequency at V<sub>out1</sub> (by default V<sub>outMIN</sub>) and V<sub>inLLrms</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- F<sub>swL</sub> <sub>LOVP</sub>(t<sub>2</sub>): switching frequency at V<sub>outOVP</sub> and V<sub>inLLrms</sub> </p> </text> </region> <region region-id="34021" left="18" top="4303.5" width="372" height="15" align-x="36.75" align-y="4313.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* Current sense voltage plot for V</inlineAttr> </b> <b> <inlineAttr underline="false"> <sub>REFX</sub> </inlineAttr> </b> <b> <inlineAttr underline="false"> varying from 10 mV to 0.333 V</inlineAttr> </b> </p> </text> </region> <region region-id="34088" left="456" top="4303.5" width="372" height="15" align-x="474.75" align-y="4313.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* Current sense voltage plot for V</inlineAttr> </b> <b> <inlineAttr underline="false"> <sub>REFX</sub> </inlineAttr> </b> <b> <inlineAttr underline="false"> = 0.333 V</inlineAttr> </b> </p> </text> </region> <region region-id="32949" left="24" top="4325.25" width="350.25" height="213.75" align-x="24" align-y="4325.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="119"/> <rendering item-idref="120"/> </region> <region region-id="34022" left="462" top="4325.25" width="372.75" height="217.5" align-x="462" align-y="4325.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="121"/> <rendering item-idref="122"/> </region> <region region-id="34483" left="12" top="4555.5" width="372" height="15" align-x="30.75" align-y="4565.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* Demagnetization time variation for V</inlineAttr> </b> <b> <inlineAttr underline="false"> <sub>REFX</sub> </inlineAttr> </b> <b> <inlineAttr underline="false"> varying from 10 mV to 0.333 V</inlineAttr> </b> </p> </text> </region> <region region-id="34019" left="456" top="4555.5" width="372" height="15" align-x="474.75" align-y="4565.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <inlineAttr underline="false">* Switching frequency plot for V</inlineAttr> </b> <b> <inlineAttr underline="false"> <sub>REFX</sub> </inlineAttr> </b> <b> <inlineAttr underline="false"> = 0.333 V</inlineAttr> </b> </p> </text> </region> <region region-id="33353" left="18" top="4583.25" width="421.5" height="204.75" align-x="18" align-y="4583.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="123"/> <rendering item-idref="124"/> </region> <region region-id="35037" left="450" top="4589.25" width="396" height="220.5" align-x="450" align-y="4589.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="125"/> <rendering item-idref="126"/> </region> <region region-id="35038" left="876" top="4613.25" width="410.25" height="204.75" align-x="876" align-y="4613.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="127"/> <rendering item-idref="128"/> </region> <region region-id="35175" left="24" top="4842" width="188.25" height="14.25" align-x="42" align-y="4853.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="12"> <b> <u>CLAMPING NETWORK</u> </b> </f> </p> </text> </region> <region region-id="34436" left="12" top="4872.75" width="177.75" height="18" align-x="48" align-y="4883.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="dss">BV</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="os">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="inMAX">V</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="129"/> </region> <region region-id="34437" left="294" top="4880.25" width="84.75" height="16.5" align-x="328.5" align-y="4889.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>207.45166004060957</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="130"/> </region> <region region-id="34438" left="12" top="4903.5" width="312" height="12" align-x="18.75" align-y="4913.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">We consider the leakage inductance equal to 1% of primary inductance.</p> </text> </region> <region region-id="34439" left="12" top="4927.5" width="136.5" height="12" align-x="27.75" align-y="4937.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Leakage inductance coefficient:</p> </text> </region> <region region-id="34440" left="168" top="4928.25" width="45.75" height="16.5" align-x="189.75" align-y="4937.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#f0f" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Lp">k</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="131"/> </region> <region region-id="34468" left="12" top="4957.5" width="282" height="27" align-x="19.5" align-y="4967.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Switching frequency at sine wave top, lowest line at V<sub>outOVP</sub> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(extracted from THEORICAL WAVEFORMS section)</p> </text> </region> <region region-id="34478" left="12" top="4993.5" width="108.75" height="31.5" align-x="35.25" align-y="5009.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="top">t</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="start2">t</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">asin</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="line">F</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="34810" left="12" top="5035.5" width="141.75" height="27.75" align-x="86.25" align-y="5051.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve" subscript="swLLOVP">F</ml:id> <ml:id xml:space="preserve" subscript="top">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>48013.589114244234</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="133"/> </region> <region region-id="34811" left="12" top="5066.25" width="128.25" height="22.5" align-x="40.5" align-y="5081.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="leak">L</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="Lp">k</ml:id> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.9999999999999993E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="henry"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="34812" left="12" top="5097.75" width="84" height="35.25" align-x="49.5" align-y="5117.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="pkOVP">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="ILIMIT">V</ml:id> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="34813" left="12" top="5145" width="199.5" height="60" align-x="41.25" align-y="5183.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="clp1">R</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="pkOVP">I</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="leak">L</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="swLLOVP">F</ml:id> <ml:id xml:space="preserve" subscript="top">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="34814" left="300" top="5174.25" width="95.25" height="22.5" align-x="327.75" align-y="5189.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="clp1">R</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>34047.606301873064</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="137"/> </region> <region region-id="34815" left="12" top="5216.25" width="69" height="22.5" align-x="36.75" align-y="5231.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="clp">R</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>41</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="138"/> </region> <region region-id="34424" left="12" top="5257.5" width="309.75" height="12" align-x="18" align-y="5267.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">We choose a 6% voltage ripple for the clamping voltage:</p> </text> </region> <region region-id="34425" left="12" top="5277.75" width="177" height="35.25" align-x="36.75" align-y="5297.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="clp">C</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="clp">R</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="swLLOVP">F</ml:id> <ml:id xml:space="preserve" subscript="top">t</ml:id> </ml:apply> </ml:apply> <ml:real>0.06</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="139"/> </region> <region region-id="34475" left="300" top="5294.25" width="96" height="22.5" align-x="323.25" align-y="5309.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="clp">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8.4664377843824331E-09</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="farad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="140"/> </region> <region region-id="34427" left="12" top="5319.75" width="146.25" height="35.25" align-x="51.75" align-y="5339.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Dclp">PIV</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="os">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="141"/> </region> <region region-id="34476" left="300" top="5336.25" width="84" height="16.5" align-x="338.25" align-y="5345.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Dclp">PIV</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>132.89</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="142"/> </region> <region region-id="34429" left="12" top="5365.5" width="335.25" height="15" align-x="27" align-y="5375.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <c val="#800000">Choose a diode with a breakdown voltage twice the PIV</c> </b> <b> <c val="#800000"> <sub>Dclp</sub> </c> </b> </p> </text> </region> <region region-id="34430" left="12" top="5389.5" width="243.75" height="15" align-x="12" align-y="5399.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">* R<sub>clamp</sub> peak power loss at sinus waveform top:</p> </text> </region> <region region-id="34431" left="18" top="5409.75" width="79.5" height="41.25" align-x="52.5" align-y="5435.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Rclp1">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="clp">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="143"/> </region> <region region-id="34432" left="330" top="5432.25" width="73.5" height="16.5" align-x="363" align-y="5441.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Rclp1">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.0496632013074303</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="144"/> </region> <region region-id="34480" left="12" top="5467.5" width="228.75" height="15" align-x="28.5" align-y="5477.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">* Average power losses in R<sub>clamp</sub> over one line cycle:</p> </text> </region> <region region-id="34434" left="18" top="5493.75" width="210" height="35.25" align-x="52.5" align-y="5513.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Rclp2">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="out">I</ml:id> <ml:id xml:space="preserve" subscript="leak">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="outOVP">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="145"/> </region> <region region-id="34435" left="330" top="5504.25" width="78" height="16.5" align-x="363" align-y="5513.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Rclp2">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.58136341818822357</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="146"/> </region> <region region-id="34453" left="18" top="5541.75" width="329.25" height="54" align-x="72.75" align-y="5561.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="clamp2">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="leak">L</ml:id> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="clamp">V</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="OOVP">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="line">F</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">t</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="147"/> </region> <region region-id="34447" left="6" top="5610" width="138.75" height="14.25" align-x="21.75" align-y="5621.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="12"> <b>LOSSES CALCULATION</b> </f> </p> </text> </region> <region region-id="32989" left="12" top="5635.5" width="137.25" height="12" align-x="30.75" align-y="5645.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum junction temperature:</p> </text> </region> <region region-id="32990" left="180" top="5636.25" width="111.75" height="16.5" align-x="218.25" align-y="5645.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099492" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098852" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">e863da249a5c4dbee2b3fd8a2d78073d</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="jMAX">T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>125</ml:real> <ml:real>273.15</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="148"> <element-image-map> <box left="1.5" top="0.75" width="110.25" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32991" left="12" top="5659.5" width="126" height="12" align-x="26.25" align-y="5669.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Typical ambient temperature:</p> </text> </region> <region region-id="32992" left="180" top="5660.25" width="103.5" height="16.5" align-x="214.5" align-y="5669.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099492" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098412" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d3bd11aa00e86af69304bdfea185f787</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="aTYP">T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>80</ml:real> <ml:real>273.15</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="149"> <element-image-map> <box left="1.5" top="0.75" width="102" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32993" left="12" top="5683.5" width="138" height="12" align-x="30.75" align-y="5693.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum ambient temperature:</p> </text> </region> <region region-id="32994" left="180" top="5684.25" width="104.25" height="16.5" align-x="215.25" align-y="5693.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="A46C288A-E25E-4619-ACC6-E3A1CD118275" version-id="140C228C-B281-4E93-B025-6A1136649A2C" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099492" is-modified="false" region-id="0" href="D:\UserData\CCCV\Calculs\Co-package MOSFET.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099012" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">a59b5db60554cb6db22130fb3ca876f8</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="Amax">T</ml:id> <ml:apply> 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disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="SWHLavg">P</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="line">F</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:integral auto-algorithm="true" algorithm="adaptive"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve" subscript="SWHL">P</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:mult/> <ml:real>0.39</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>0.4</ml:real> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="159"/> </region> <region region-id="33272" left="318" top="5978.25" width="97.5" height="16.5" align-x="370.5" align-y="5987.25" 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list-style-type="inherit" tabs="inherit">* <b> <u>Outout Diode </u> </b> <b> <u>calculation</u> </b> </p> </text> </region> <region region-id="32967" left="18" top="6043.5" width="192" height="12" align-x="27" align-y="6053.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <u> <inlineAttr font-weight="normal">Output diode Peak inverse voltage</inlineAttr> </u> </p> </text> </region> <region region-id="32968" left="18" top="6066.75" width="200.25" height="18" align-x="61.5" align-y="6077.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098572" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099012" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">4a135182e1f3ff2f0037e22fa784be8b</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="diode">PIV</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="inMAX">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="outMAX">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="161"> <element-image-map> <box left="1.5" top="0.75" width="198.75" height="16.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32969" left="300" top="6068.25" width="92.25" height="16.5" align-x="342" align-y="6077.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099052" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099012" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">5a392ec1fbde571d300ec913e2b7a6ff</contentHash> <ml:id xml:space="preserve" subscript="diode">PIV</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>253.46400937060585</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="162"> <element-image-map> <box left="1.5" top="0.75" width="36" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32970" left="18" top="6091.5" width="335.25" height="15" align-x="33" align-y="6101.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <c val="#800000">Choose an output diode with a breakdown voltage twice the PIV</c> </b> <b> <c val="#800000"> <sub>diode</sub> </c> </b> </p> </text> </region> <region region-id="32971" left="216" top="6116.25" width="111.75" height="22.5" align-x="270.75" align-y="6131.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099052" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" 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xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32972" left="18" top="6127.5" width="188.25" height="12" align-x="33.75" align-y="6137.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Thermal Resistances of diode package:</p> </text> </region> <region region-id="32973" left="18" top="6151.5" width="137.25" height="12" align-x="36.75" align-y="6161.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Maximum junction temperature:</p> </text> </region> <region region-id="32974" left="180" top="6152.25" width="118.5" height="16.5" align-x="225" align-y="6161.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098972" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099252" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d46684b2d6967c4cbf59c0226b56ac6e</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="jDMAX">T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>150</ml:real> <ml:real>273.15</ml:real> </ml:apply> </ml:parens> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="164"> <element-image-map> <box left="1.5" top="0.75" width="117" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32975" left="18" top="6175.5" width="205.5" height="12" align-x="24.75" align-y="6185.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">We can deduce the package power dissipation:</p> </text> </region> <region region-id="32976" left="18" top="6195.75" width="197.25" height="35.25" align-x="78" align-y="6215.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098972" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098852" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">86e71381aadc723aa730c01c7502dab4</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="DIODEpack">P</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="jDMAX">T</ml:id> <ml:id xml:space="preserve" subscript="aTYP">T</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve" subscript="ΘJAdiode">R</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.7</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </ml:provenance> </math> <rendering item-idref="165"> <element-image-map> <box left="1.5" top="0.75" width="195.75" height="33.75" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32977" left="306" top="6206.25" width="94.5" height="16.5" align-x="364.5" align-y="6215.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099372" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099092" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">29708764f20847ced649a50b87248d51</contentHash> <ml:id xml:space="preserve" subscript="DIODEpack">P</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.7</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="166"> <element-image-map> <box left="1.5" top="0.75" width="52.5" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32978" left="18" top="6253.5" width="345" height="12" align-x="33" align-y="6263.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <u>Chosen diode parameters (example MURD530 diode in DPAK package)</u> </p> </text> </region> <region region-id="33002" left="18" top="6271.5" width="209.25" height="96" align-x="30.75" align-y="6281.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>* MURS 230 in SMB package:</i> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i> <sp count="2"/>Vf = 1 V at 100°C for Iout, Rd = 125 mΩ</i> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>* MURD530 in DPAK package:</i> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i> <sp count="2"/>Vf = 0.63 V at 85°C for Iout, Rd = 52 mΩ</i> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>* MURD340 in DPAK:</i> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i> <sp count="2"/>Vf= 0.9 V at 100°C for 0.7 A, Rd = 120 mΩ</i> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>* MURD550 in DPAK</i> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i> <sp count="2"/>Vf = 0.7 V at 125°C for 0.7 A, Rd = 200 mΩ</i> </p> </text> </region> <region region-id="32979" left="18" top="6397.5" width="179.25" height="15" align-x="33.75" align-y="6407.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Max Forward voltage drop at I<sub>out</sub> (25°C):</p> </text> </region> <region region-id="32998" left="210" top="6398.25" width="68.25" height="16.5" align-x="249.75" align-y="6407.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fDiode">V</ml:id> <ml:apply> <ml:mult/> <ml:real>0.9</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="167"/> </region> <region region-id="32981" left="18" top="6421.5" width="249" height="24" align-x="29.25" align-y="6431.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Diode dynamic resistance </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(can be extracted from diode I-V curves in datasheet):</p> </text> </region> <region region-id="32982" left="270" top="6428.25" width="76.5" height="16.5" align-x="312" align-y="6437.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="dDiode">R</ml:id> <ml:apply> <ml:mult/> <ml:real>0.12</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="168"/> </region> <region region-id="32983" left="18" top="6457.5" width="189.75" height="12" align-x="30" align-y="6467.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Power dissipated by the diode (worst case):</p> </text> </region> <region region-id="32984" left="18" top="6476.25" width="188.25" height="22.5" align-x="54" align-y="6491.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099492" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266099212" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">e996d03ac77c9d74c130c721bac22bb9</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="Diode">P</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="fDiode">V</ml:id> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="dDiode">R</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="secRMS">I</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="169"> <element-image-map> <box left="1.5" top="0.75" width="186.75" height="21" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32985" left="318" top="6482.25" width="79.5" height="16.5" align-x="352.5" align-y="6491.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098492" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F198F9EA-89BE-42E5-AB63-CFC16FCE1667" version-id="72CCE402-81CE-42A4-8A7F-1F0DABFDF659" branch-id="00000000-0000-0000-0000-000000000000" revision-num="266098652" is-modified="true" region-id="0" href="D:\Userdata\Optimus TV - NCP1370\Calculs\NCP1370 Spreadsheet.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">fd77f8c752bed1550cc1fb933ec778d4</contentHash> <ml:id xml:space="preserve" subscript="Diode">P</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.57279645145344971</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="170"> <element-image-map> <box left="1.5" top="0.75" width="28.5" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="32986" left="18" top="6511.5" width="138.75" height="15" align-x="29.25" align-y="6521.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b> <c val="#800000">Verify that P</c> </b> <b> <c val="#800000"> <sub>diode</sub> </c> </b> <b> <c val="#800000"> < P</c> </b> <b> <c val="#800000"> <sub>DIODEpack</sub> </c> </b> </p> </text> </region> <region region-id="34967" left="12" top="6535.5" width="169.5" height="12" align-x="30" align-y="6545.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>* </b> <b> <u>Dummy-load resistor estimation</u> </b> </p> </text> </region> <region region-id="34839" left="18" top="6566.25" width="90" height="22.5" align-x="50.25" align-y="6581.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="FFclp">t</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1400</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="171"/> </region> <region region-id="34841" left="144" top="6572.25" width="46.5" height="16.5" align-x="177.75" align-y="6581.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vHLa">n</ml:id> <ml:real>6</ml:real> </ml:define> </math> <rendering item-idref="172"/> </region> <region region-id="34880" left="264" top="6572.25" width="82.5" height="16.5" align-x="315.75" align-y="6581.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="inSBYrms">V</ml:id> <ml:apply> <ml:mult/> <ml:real>265</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="173"/> </region> <region region-id="35020" left="18" top="6595.5" width="242.25" height="12" align-x="21" align-y="6605.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If we consider there is no input voltage ripple in standby:</p> </text> </region> <region region-id="35018" left="0" top="6611.25" width="6008.25" align-x="0" align-y="6611.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="104.25"> <confidentialArea item-idref="174"/> <rendering item-idref="175"/> </region> <region region-id="35228" left="6" top="6637.5" width="169.5" height="12" align-x="24" align-y="6647.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <b>* </b> <b> <u>Dummy-load resistor estimation</u> </b> </p> </text> </region> <region region-id="35229" left="12" top="6668.25" width="90" height="22.5" align-x="44.25" align-y="6683.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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