Mathcad Professional 14.1 <description/> <author>Stephanie Conseil</author> <company/> <keywords/> <revisedBy>ON Semiconductor</revisedBy> </userData> <identityInfo> <revision>28</revision> <documentID>0C142CE1-46FE-4419-B033-3A206B0E16B7</documentID> <versionID>BA6CF97A-926E-4A30-A393-988D45EE1050</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Titre 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" 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text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Sous-titre" base-style="Titre"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New 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<mathStyle name="Utilisateur 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Utilisateur 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Police de texte mathématique" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="masse" length="longueur" time="temps" current="charge" thermodynamic-temperature="température" luminous-intensity="luminosité" amount-of-substance="substance" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="841.5"> <margins left="86.4" right="86.4" top="56.66457" bottom="56.66457"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <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="40155" 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="402.75" 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="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">**<sp count="6"/> <f size="12"> <b>NCL30486/88 Feedback Compensation Calculation</b> </f> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <sp count="27"/> </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">** 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"> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false">** Rev: 0<sp count="5"/> </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">** 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"> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false"> <sp count="24"/> </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">*******************************************************************************************************</f> </inlineAttr> </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 the COMP pin cmponents to be used for a NCL30486 /30488 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="35103" left="48" top="200.25" width="295.5" height="12" align-x="54" 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="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="234.75" width="142.5" height="14.25" align-x="19.5" align-y="246" 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="34020" left="132" top="261" width="70.5" height="16.5" align-x="171.75" align-y="270" 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="inAVG">V</ml:id> <ml:apply> <ml:mult/> <ml:real>120</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="31526" left="18" top="266.25" width="76.5" height="12" align-x="28.5" align-y="276" 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="34033" left="138" top="285" width="57" height="16.5" align-x="164.25" align-y="294" 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="line">F</ml:id> <ml:apply> <ml:mult/> <ml:real>60</ml:real> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="34032" left="24" top="290.25" width="96" height="12" align-x="39" align-y="300" 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="31533" left="18" top="326.25" width="114" height="12" align-x="28.5" 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"> <f size="11"> <b>* Output Specification</b> </f> </p> </text> </region> <region region-id="31534" left="24" top="356.25" width="108.75" height="12" align-x="42.75" 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">Maximum output current:</p> </text> </region> <region region-id="31535" left="150" top="357" width="53.25" height="16.5" align-x="173.25" align-y="366" 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="4"/> </region> <region region-id="35216" left="186" top="375" width="52.5" height="16.5" align-x="212.25" align-y="384" 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">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="5"/> </region> <region region-id="33986" left="24" top="380.25" width="198" height="12" align-x="37.5" 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">Output voltage regulation target:</p> </text> </region> <region region-id="31540" left="24" top="404.25" width="90.75" height="12" align-x="42.75" align-y="414" 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="405" width="42" height="12.75" align-x="163.5" align-y="414" 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="6"/> </region> <region region-id="31542" left="222" top="404.25" width="125.25" height="12" align-x="235.5" align-y="414" 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="405" width="45.75" height="16.5" align-x="371.25" align-y="414" 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>0.7</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="31549" left="24" top="434.25" width="104.25" height="12" align-x="39" align-y="444" 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="435" width="96" height="16.5" align-x="186.75" align-y="444" 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="out">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="31551" left="330" top="435" width="81" height="16.5" align-x="377.25" align-y="444" 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="9"/> </region> <region region-id="31552" left="18" top="464.25" width="54" height="12" align-x="36" 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"> <f size="11"> <b>* MOSFET</b> </f> <sp/> </p> </text> </region> <region region-id="31553" left="24" top="494.25" width="57.75" height="12" align-x="38.25" align-y="504" 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="489" width="88.5" height="22.5" align-x="120" align-y="504" 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="10"/> </region> <region region-id="31563" left="24" top="524.25" width="126.75" height="12" align-x="37.5" 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">Total Propagation delay time:</p> </text> </region> <region region-id="31564" left="174" top="519" width="81.75" height="22.5" align-x="202.5" align-y="534" 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="11"/> </region> <region region-id="33989" left="18" top="548.25" width="282" height="12" align-x="36" align-y="558" 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>* Transformer Specification</b> </f> </p> </text> </region> <region region-id="33993" left="24" top="566.25" width="264" height="12" align-x="31.5" align-y="576" 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">Use the NCL30488 Spreadsheet to calculate the parameters:</p> </text> </region> <region region-id="33996" left="24" top="590.25" width="87" height="12" align-x="38.25" align-y="600" 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 Inductance:</p> </text> </region> <region region-id="34012" left="132" top="585" width="72.75" height="22.5" align-x="149.25" align-y="600" 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="p">L</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>620</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="12"/> </region> <region region-id="34001" left="24" top="614.25" width="192" height="15" align-x="45" align-y="624" 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 to Primary turn ratio <inlineAttr font-weight="normal">(N</inlineAttr> <inlineAttr font-weight="normal"> <sub>sp</sub> </inlineAttr> <inlineAttr font-weight="normal">=N</inlineAttr> <inlineAttr font-weight="normal"> <sub>s</sub> </inlineAttr> <inlineAttr font-weight="normal">/N</inlineAttr> <inlineAttr font-weight="normal"> <sub>p</sub> </inlineAttr> <inlineAttr font-weight="normal">):</inlineAttr> </p> </text> </region> <region region-id="34004" left="246" top="615" width="48" height="16.5" align-x="270" align-y="624" 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:real>0.47</ml:real> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="34005" left="24" top="632.25" width="163.5" height="15" align-x="41.25" 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="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Auxiliary turn ratio (N<sub>auxp</sub> = N<sub>aux</sub>/N<sub>p</sub>): </p> </text> </region> <region region-id="40155" left="252" top="633" width="57" height="16.5" align-x="285" 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="auxp">N</ml:id> <ml:real>0.25</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="34035" left="18" top="662.25" width="282" height="12" align-x="36" align-y="672" 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 Capacitor</b> </f> </p> </text> </region> <region region-id="34036" left="30" top="681" width="80.25" height="22.5" align-x="56.25" align-y="696" 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="15"/> </region> <region region-id="35158" left="30" top="710.25" width="111.75" height="12" align-x="51" 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="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Equivalent series resistor:</p> </text> </region> <region region-id="35159" left="156" top="705" width="68.25" height="22.5" align-x="172.5" 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="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="16"/> </region> <region region-id="34040" left="18" top="740.25" width="101.25" height="12" align-x="36" align-y="750" 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>* Sense Resistor</b> </f> </p> </text> </region> <region region-id="34041" left="132" top="741" width="66" height="16.5" align-x="168" align-y="750" 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="17"/> </region> <region region-id="39652" left="18" top="770.25" width="120.75" height="12" align-x="36" align-y="780" 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>* ZCD pin Resistors</b> </f> </p> </text> </region> <region region-id="39650" left="30" top="794.25" width="116.25" height="12" align-x="39" 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="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">ZCD bridge upper resistor: </p> </text> </region> <region region-id="39651" left="162" top="789" width="82.5" height="22.5" align-x="200.25" align-y="804" 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="18"/> </region> <region region-id="35179" left="30" top="824.25" width="114.75" height="12" align-x="39" 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="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">ZCD bridge lower resistor: </p> </text> </region> <region region-id="35180" left="162" top="819" width="83.25" height="22.5" align-x="198.75" align-y="834" 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="ZCDL">R</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8.2</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">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="40072" left="0" top="858" width="6008.25" align-x="0" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="812.25"> <confidentialArea item-idref="20"/> <rendering item-idref="21"/> </region> <region region-id="35152" left="6" top="882.75" width="198" height="14.25" align-x="11.25" align-y="894" 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>FB LOOP CALCULATION</u> </b> </f> </p> </text> </region> <region region-id="35209" left="12" top="909" width="153" height="22.5" align-x="27" align-y="924" 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>7.8225026229943843E-07</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="35210" left="12" top="944.25" width="165" height="15" align-x="30" align-y="954" 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 corresponding V<sub>CS</sub> setpoint:</p> </text> </region> <region region-id="35217" left="18" top="969" width="69.75" height="16.5" align-x="37.5" align-y="978" 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="out">V</ml:id> <ml:id xml:space="preserve" subscript="f">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="34248" left="18" top="1004.25" width="303" height="12" align-x="23.25" align-y="1014" 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">We<sp count="2"/>calculate the power stage transfert function <b>at max output load:</b> </p> </text> </region> <region region-id="35187" left="18" top="1023" width="481.5" height="42.75" align-x="46.5" align-y="1050" 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="CS1">V</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sense">R</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="out">I</ml:id> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="p">L</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:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sp">N</ml:id> <ml:id xml:space="preserve" subscript="inAVG">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </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="v">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="O">V</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="inAVG">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="inAVG">V</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sense">R</ml:id> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="35188" left="18" top="1071" width="68.25" height="16.5" align-x="45" align-y="1080" 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="CS1">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.60781412955713132</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="25"/> </region> <region region-id="35189" left="18" top="1096.5" width="194.25" height="35.25" align-x="58.5" 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="demag1">t</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <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:id xml:space="preserve" subscript="CS1">V</ml:id> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>6.2168142279027046E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="34273" left="18" top="1138.5" width="261" height="35.25" align-x="46.5" 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="sw1">T</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <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:id xml:space="preserve" subscript="CS1">V</ml:id> <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:id xml:space="preserve" subscript="inAVG">V</ml:id> </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:id xml:space="preserve" subscript="v">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.148531163693335E-05</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="35220" left="18" top="1174.5" width="101.25" height="35.25" align-x="52.5" align-y="1194" 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="load1">R</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">V</ml:id> <ml:id xml:space="preserve" subscript="out">I</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>80</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="35221" left="210" top="1174.5" width="105.75" height="35.25" align-x="232.5" 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<ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="CS1">V</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <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:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="inAVG">V</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="38604" left="12" top="532.5" width="81" height="27.75" align-x="48.75" align-y="548.25" 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"> 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</ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <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:id xml:space="preserve" subscript="CS1">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sense">R</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:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="v">t</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">L</ml:id> <ml:id xml:space="preserve" subscript="CS1">V</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="v2">K</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="Vc1d20">G</ml:id> <ml:id xml:space="preserve" subscript="01">H</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d2Vo1">K</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="38611" left="12" top="744.75" width="228.75" height="41.25" align-x="29.25" align-y="770.25" 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="3">b</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="v1">K</ml:id> <ml:id xml:space="preserve" 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<ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">C</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="p11">ω</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="1">C</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="1">R</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="21">D</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">C</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="v1">K</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="p11">ω</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" 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<ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">b</ml:id> <ml:provenance expr-id="5"> <originRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875092" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="4B14C0DD-8194-46DF-9096-A1F76C16A475" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265876172" is-modified="true" region-id="1" href="D:\Userdata\Optronix II - NCL3038x\Calculs\symbolic Power stage tot.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">053f31e21ba712a9f08ca8952c73fc85</contentHash> <ml:id xml:space="preserve">s</ml:id> </ml:provenance> </ml:apply> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="2">b</ml:id> <ml:id xml:space="preserve" subscript="1">b</ml:id> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="3">b</ml:id> <ml:id xml:space="preserve" subscript="2">b</ml:id> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"> <element-image-map> <box left="38.25" top="26.25" width="3.75" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="264.75" top="0.75" width="3.75" height="11.25" expr-idref="2" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="318" top="0.75" width="3.75" height="11.25" expr-idref="3" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="372" top="0.75" width="3.75" height="11.25" expr-idref="4" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="273.75" top="45" width="3.75" height="11.25" expr-idref="5" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="38641" left="6" top="1320" width="382.5" height="12" align-x="6" align-y="1329.75" 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 power stage transfert function <b>at light load</b>:</p> </text> </region> <region region-id="40075" left="18" top="1344" width="261" height="15" align-x="24.75" align-y="1353.75" 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">For the light load calculation, we consider V<sub>REFX</sub> = 5% V<sub>REF</sub> </p> </text> </region> <region region-id="40083" left="0" top="1365" width="6008.25" align-x="0" align-y="1365" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="446.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" 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margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Frequency foldback dead time calculation:</p> </text> </region> <region region-id="35266" left="18" top="65.25" width="41.25" height="16.5" align-x="46.5" align-y="74.25" 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="vFB">n</ml:id> <ml:real>5</ml:real> </ml:define> </math> </region> <region region-id="35267" left="78" top="64.5" width="38.25" height="12" align-x="84.75" align-y="74.25" 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">(low line)</p> </text> </region> <region region-id="35268" left="18" top="83.25" width="183.75" height="22.5" align-x="49.5" align-y="98.25" 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="FFFB">t</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:id xml:space="preserve" subscript="FFV">t</ml:id> <ml:id xml:space="preserve" subscript="REFXFB">V</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>6.2921348314606734E-05</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> </region> <region region-id="35269" left="18" top="124.5" width="231.75" height="12" 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subscript="inAVG">V</ml:id> </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="CS2">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="O">V</ml:id> <ml:id xml:space="preserve" subscript="sp">N</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="DT">t</ml:id> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="inAVG">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="O">V</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="35329" left="1452" top="144.75" width="336" height="35.25" align-x="1474.5" align-y="164.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="02">H</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <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="eq">R</ml:id> <ml:id xml:space="preserve" subscript="p">L</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="CSFB">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="inAVG">V</ml:id> </ml:apply> <ml:real>0.6</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="0">k</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> 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subscript="sp">N</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="DT">t</ml:id> <ml:id xml:space="preserve" subscript="sense">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="inAVG">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="O">V</ml:id> <ml:id xml:space="preserve" subscript="sp">N</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="35331" left="1458" top="250.5" width="69.75" height="31.5" align-x="1484.25" align-y="266.25" 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="z12">ω</ml:id> <ml:apply> 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<ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:provenance expr-id="2"> <originRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875132" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="4B14C0DD-8194-46DF-9096-A1F76C16A475" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875012" is-modified="true" region-id="1" href="D:\Userdata\Optronix II - NCL3038x\Calculs\symbolic Power stage tot.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">053f31e21ba712a9f08ca8952c73fc85</contentHash> <ml:id xml:space="preserve">s</ml:id> </ml:provenance> <ml:id xml:space="preserve" subscript="z12">ω</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:provenance expr-id="3"> <originRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875212" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="4B14C0DD-8194-46DF-9096-A1F76C16A475" branch-id="00000000-0000-0000-0000-000000000000" 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xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875932" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.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">053f31e21ba712a9f08ca8952c73fc85</contentHash> <ml:id xml:space="preserve">s</ml:id> </ml:provenance> <ml:id xml:space="preserve" subscript="z22">ω</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="12">b</ml:id> <ml:provenance expr-id="5"> <originRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875732" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="4B14C0DD-8194-46DF-9096-A1F76C16A475" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875452" is-modified="true" region-id="1" href="D:\Userdata\Optronix II - NCL3038x\Calculs\symbolic Power stage tot.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">053f31e21ba712a9f08ca8952c73fc85</contentHash> <ml:id xml:space="preserve">s</ml:id> </ml:provenance> </ml:apply> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="22">b</ml:id> <ml:id xml:space="preserve" subscript="12">b</ml:id> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="32">b</ml:id> <ml:id xml:space="preserve" subscript="22">b</ml:id> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="34"> <element-image-map> <box left="38.25" top="26.25" width="3.75" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="273.75" top="0.75" width="3.75" height="11.25" expr-idref="2" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="327" top="0.75" width="3.75" height="11.25" expr-idref="3" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="381" top="0.75" width="3.75" height="11.25" expr-idref="4" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="281.25" top="45" width="3.75" height="11.25" expr-idref="5" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="33793" left="6" top="1507.5" width="370.5" height="48" align-x="21" align-y="1517.25" 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"> <f size="11"> <b> <u>Choose crossover frequency:</u> </b> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Chosse a crossover frequency such that the phase of the power stage has not turned </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">below -90°. For good performances, choose a crossover frequency below 20 Hz.</p> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Target typically 10 Hz or lower</p> </text> </region> <region region-id="33907" left="12" top="1574.25" width="47.25" height="16.5" align-x="28.5" align-y="1583.25" 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="c">F</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="33908" left="12" top="1597.5" width="126" height="12" align-x="24.75" align-y="1607.25" 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">Define phase margin needed:</p> </text> </region> <region region-id="33909" left="186" top="1598.25" width="38.25" height="12.75" align-x="207" align-y="1607.25" 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">PM</ml:id> <ml:real>60</ml:real> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="33910" left="12" top="1627.5" width="100.5" height="12" align-x="24" align-y="1637.25" 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 stage gain at Fc</p> </text> </region> <region region-id="33893" left="12" top="1646.25" width="183.75" height="16.5" align-x="35.25" align-y="1655.25" 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="Fc">H</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:absval/> <ml:apply> <ml:id xml:space="preserve" subscript="PStot1">H</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="c">F</ml:id> </ml:apply> <ml:imag symbol="i">1</ml:imag> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>6.0760590060257247</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="34218" left="300" top="1652.25" width="55.5" height="16.5" align-x="321.75" align-y="1661.25" 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="Fc">H</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>6.0760590060257247</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="33911" left="12" top="1669.5" width="77.25" height="12" align-x="23.25" align-y="1679.25" 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">Phase shift at Fc:</p> </text> </region> <region region-id="33894" left="12" top="1693.5" width="138" height="27.75" align-x="29.25" align-y="1709.25" 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">PS</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">arg</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="PStot2">H</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="c">F</ml:id> </ml:apply> <ml:imag symbol="i">1</ml:imag> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:real>180</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="33861" left="294" top="1700.25" width="59.25" height="12.75" align-x="309.75" align-y="1709.25" 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="27C61A4B-E199-41FC-BDCF-7259C6A55DD8" version-id="EF58B1DF-F6CF-4C2F-9B9D-C2D899B82EA8" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875652" is-modified="true" region-id="0" href="D:\Userdata\Chrono 8\Calculs\Final\NCP1380SPREADSHEETREV4-dc input voltage.XMCD" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="27C61A4B-E199-41FC-BDCF-7259C6A55DD8" version-id="EF58B1DF-F6CF-4C2F-9B9D-C2D899B82EA8" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265876172" is-modified="true" region-id="0" href="D:\Userdata\Chrono 8\Calculs\Final\NCP1380SPREADSHEETREV4-dc input voltage.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">bdddfa6275a29b8ad9050d87d66be80f</contentHash> <ml:id xml:space="preserve">PS</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>-91.173692782461714</ml:real> </result> </ml:eval> </math> <rendering item-idref="40"> <element-image-map> <box left="1.5" top="0.75" width="9.75" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="33912" left="12" top="1729.5" width="92.25" height="12" align-x="27" align-y="1739.25" 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">Needed phase boost:</p> </text> </region> <region region-id="33895" left="12" top="1754.25" width="96.75" height="12.75" align-x="42.75" align-y="1763.25" 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="27C61A4B-E199-41FC-BDCF-7259C6A55DD8" version-id="EF58B1DF-F6CF-4C2F-9B9D-C2D899B82EA8" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875652" is-modified="true" region-id="0" href="D:\Userdata\Chrono 8\Calculs\Final\NCP1380SPREADSHEETREV4-dc input voltage.XMCD" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="27C61A4B-E199-41FC-BDCF-7259C6A55DD8" version-id="EF58B1DF-F6CF-4C2F-9B9D-C2D899B82EA8" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265876212" is-modified="true" region-id="0" href="D:\Userdata\Chrono 8\Calculs\Final\NCP1380SPREADSHEETREV4-dc input voltage.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">f2ec364974a5440d184afd60ed155ffe</contentHash> <ml:define> <ml:id xml:space="preserve">Boost</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">PM</ml:id> <ml:id xml:space="preserve">PS</ml:id> </ml:apply> <ml:real>90</ml:real> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="41"> <element-image-map> <box left="1.5" top="0.75" width="95.25" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="33864" left="294" top="1754.25" width="67.5" height="12.75" align-x="323.25" align-y="1763.25" 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="27C61A4B-E199-41FC-BDCF-7259C6A55DD8" version-id="EF58B1DF-F6CF-4C2F-9B9D-C2D899B82EA8" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875732" is-modified="true" region-id="0" href="D:\Userdata\Chrono 8\Calculs\Final\NCP1380SPREADSHEETREV4-dc input voltage.XMCD" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="27C61A4B-E199-41FC-BDCF-7259C6A55DD8" version-id="EF58B1DF-F6CF-4C2F-9B9D-C2D899B82EA8" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875292" is-modified="true" region-id="0" href="D:\Userdata\Chrono 8\Calculs\Final\NCP1380SPREADSHEETREV4-dc input voltage.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">3fec3f61d21c1ad0261f2e3c8c4ba935</contentHash> <ml:id xml:space="preserve">Boost</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>61.173692782461728</ml:real> </result> </ml:eval> </math> <rendering item-idref="42"> <element-image-map> <box left="1.5" top="0.75" width="23.25" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="38700" left="18" top="1783.5" width="164.25" height="49.5" align-x="41.25" align-y="1817.25" 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="1C">R</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" subscript="Fc">H</ml:id> </ml:apply> <ml:real>20</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="ZCDU">R</ml:id> <ml:id xml:space="preserve" subscript="ZCDL">R</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="ZCDL">R</ml:id> <ml:id xml:space="preserve" subscript="mCV">g</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="38701" left="306" top="1808.25" width="89.25" height="22.5" align-x="327.75" align-y="1823.25" 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:id xml:space="preserve" subscript="1C">R</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>62041.6235118527</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="38706" left="18" top="1849.5" width="105.75" height="15" align-x="28.5" align-y="1859.25" 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">Enter your value for R<sub>1C</sub>:</p> </text> </region> <region region-id="38707" left="162" top="1844.25" width="67.5" height="22.5" align-x="185.25" align-y="1859.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1C">R</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>62</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="45"/> </region> <region region-id="38709" left="18" top="1879.5" width="212.25" height="12" align-x="27.75" align-y="1889.25" 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">Place the zero at the power stage pole (full load):</p> </text> </region> <region region-id="38711" left="18" top="1903.5" width="106.5" height="31.5" align-x="38.25" align-y="1919.25" 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="zC">f</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:real>1</ml:real> <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="1">b</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.9729417511942455</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="38712" left="18" top="1939.5" width="84.75" height="31.5" align-x="41.25" align-y="1955.25" 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="1C">C</ml:id> <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">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="zC">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1C">R</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="38714" left="312" top="1940.25" width="94.5" height="22.5" align-x="333.75" align-y="1955.25" 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="1C">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8.6345963896817675E-07</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="farad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="40061" left="18" top="1976.25" width="75" height="22.5" align-x="41.25" align-y="1991.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1C">C</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1.0</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="49"/> </region> <region region-id="38718" left="18" top="2011.5" width="381" height="15" align-x="27" align-y="2021.25" 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">C<sub>2C</sub> is selected to provide enough phase boost to compensate the light load phase shift:</p> </text> </region> <region region-id="38735" left="18" top="2038.5" width="207" height="57.75" align-x="39.75" align-y="2069.25" 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="pC">f</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="zC">f</ml:id> <ml:id xml:space="preserve" subscript="c">F</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Boost</ml:id> <ml:provenance expr-id="1"> <originRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="EF9CA7A6-0B2B-438B-96DF-0A822FF1CDCC" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875892" is-modified="false" region-id="587" href="D:\Userdata\Optronix II - NCL3038x\Calculs\symbolic Power stage tot.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="EF9CA7A6-0B2B-438B-96DF-0A822FF1CDCC" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875732" is-modified="false" region-id="587" href="D:\Userdata\Optronix II - NCL3038x\Calculs\symbolic Power stage tot.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">247a8382ba6ce47c2de4fb0893d13dba</contentHash> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>180</ml:real> </ml:apply> </ml:provenance> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="c">F</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="c">F</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="zC">f</ml:id> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Boost</ml:id> <ml:provenance expr-id="2"> <originRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="EF9CA7A6-0B2B-438B-96DF-0A822FF1CDCC" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875012" is-modified="false" region-id="587" href="D:\Userdata\Optronix II - NCL3038x\Calculs\symbolic Power stage tot.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="4B9F1A4D-0BF7-46F4-B28F-1A691B40ADD0" version-id="EF9CA7A6-0B2B-438B-96DF-0A822FF1CDCC" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875692" is-modified="false" region-id="587" href="D:\Userdata\Optronix II - NCL3038x\Calculs\symbolic Power stage tot.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">247a8382ba6ce47c2de4fb0893d13dba</contentHash> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>180</ml:real> </ml:apply> </ml:provenance> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>45.982113060904879</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="50"> <element-image-map> <box left="115.5" top="0.75" width="15.75" height="26.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> <box left="123.75" top="30.75" width="15.75" height="26.25" expr-idref="2" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="38736" left="18" top="2107.5" width="86.25" height="31.5" align-x="41.25" align-y="2123.25" 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="2C">C</ml:id> <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">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="pC">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1C">R</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="38737" left="306" top="2108.25" width="94.5" height="22.5" align-x="327.75" align-y="2123.25" 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="2C">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.5826386398543776E-08</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="farad"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="52"/> </region> <region region-id="40063" left="18" top="2144.25" width="77.25" height="22.5" align-x="41.25" align-y="2159.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2C">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>-9</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">F</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="53"/> </region> <region region-id="40095" left="12" top="2174.25" width="394.5" height="36" align-x="21.75" align-y="2184" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" 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>: to filter correctly the 100 Hz ripple, it might be necessary to decrease the calculated fpC.</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">In this case, need to shift the crossover frequency lower.</p> </text> </region> <region region-id="40089" left="12" top="2234.25" width="215.25" height="12" align-x="38.25" align-y="2244" 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"> <b>Compensator Transfer function</b>:</p> </text> </region> <region region-id="38732" left="18" top="2262.75" width="338.25" height="69" align-x="69.75" align-y="2297.25" 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="COMP">G</ml:id> <ml:boundVars> <ml:provenance expr-id="1"> <originRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875252" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875292" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.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">053f31e21ba712a9f08ca8952c73fc85</contentHash> <ml:id xml:space="preserve">s</ml:id> </ml:provenance> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:real>-1</ml:real> </ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="ZCDL">R</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="ZCDL">R</ml:id> <ml:id xml:space="preserve" subscript="ZCDU">R</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="mCV">g</ml:id> <ml:id xml:space="preserve" subscript="1C">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1C">C</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="1C">C</ml:id> <ml:id xml:space="preserve" subscript="2C">C</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:provenance expr-id="2"> <originRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875452" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875372" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC study digital.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">053f31e21ba712a9f08ca8952c73fc85</contentHash> <ml:id xml:space="preserve">s</ml:id> </ml:provenance> </ml:parens> <ml:id xml:space="preserve" subscript="1C">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1C">C</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:provenance expr-id="3"> <originRef doc-id="F9737F59-332F-4B21-8613-D8E25A6C31A9" version-id="D1239358-B382-4F5E-9379-B51A7B1AF50D" branch-id="00000000-0000-0000-0000-000000000000" revision-num="265875972" is-modified="true" region-id="2115" href="D:\Userdata\Optronix II - NCL3038x\Calculs\VrefPFC 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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="8">From José Capilla</f> </p> </text> </region> <region region-id="33564" left="30" top="33" width="92.25" height="12.75" align-x="78.75" align-y="42" 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">Start_Freq</ml:id> <ml:apply> <ml:mult/> <ml:real>0.01</ml:real> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="33565" left="30" top="57" width="102.75" height="12.75" align-x="78.75" align-y="66" show-border="false" show-highlight="true" 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