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tabs="inherit">Version 2.0.</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Update: June 17th 2021</p> </text> </region> <region region-id="674" left="6" top="126" width="243" height="144.75" align-x="6" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="4" display-width="241.5" display-height="143.25"/> </picture> <rendering item-idref="5"/> </region> <region region-id="675" left="0" top="291" width="6008.25" align-x="0" align-y="291" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="134.25"> <confidentialArea item-idref="6"/> <rendering item-idref="7"/> </region> <region region-id="670" left="0" top="321.75" width="6008.25" align-x="0" align-y="321.75" show-border="false" show-highlight="false" is-protected="true" 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align-x="80.25" align-y="447.75" show-border="true" 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="OUT">C</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>4800</ml:real> <ml:id xml:space="preserve">u</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="345" left="132" top="438.75" width="56.25" height="16.5" align-x="157.5" align-y="447.75" show-border="true" 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="esr">R</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>3.75</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="346" left="216" top="438.75" width="50.25" height="16.5" align-x="238.5" align-y="447.75" show-border="true" 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="ds">C</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>277</ml:real> <ml:id xml:space="preserve">p</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="347" left="54" top="468" width="256.5" height="12" align-x="54" align-y="477.75" 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"> <c val="#00f">Half bridge or full bridge for the inverter before resonant tank</c> </p> </text> </region> <region region-id="343" left="48" top="492.75" width="117" height="57.75" align-x="126" align-y="501.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid="01350063-1122-11DB-9380-000D56C6051A" clsid-buddy="01350052-1122-11DB-9380-000D56C6051A" item-idref="17" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">BridgeOptions</ml:id> </inputs> <outputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Bridge</ml:id> </outputs> </component> <rendering item-idref="18"/> </region> <region region-id="313" left="36" top="562.5" width="178.5" height="13.5" align-x="36" align-y="573.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text 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<math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">F</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>65</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="657" left="0" top="1143.75" width="6008.25" align-x="0" align-y="1143.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="218.25"> <confidentialArea item-idref="35"/> <rendering item-idref="36"/> </region> <region region-id="112" left="24" top="1167" width="203.25" height="15.75" align-x="24" align-y="1179.75" 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="Heading 1" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Calculate Switching Frequency</p> </text> </region> <region region-id="610" left="0" top="1203.75" width="6008.25" align-x="0" align-y="1203.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="470.25"> <confidentialArea item-idref="37"/> <rendering item-idref="38"/> </region> <region region-id="421" left="30" top="1239.75" width="309" height="236.25" align-x="30" align-y="1239.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="39"/> <rendering item-idref="40"/> </region> <region region-id="636" left="18" top="1512" width="259.5" height="12" align-x="18" align-y="1521.75" 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"> <c val="#00f">Expected switching frequency at the Vin and Pout condition</c> </p> </text> </region> <region region-id="200" left="36" top="1530.75" width="134.25" height="22.5" align-x="63.75" align-y="1545.75" 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="s.SS">f</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="n.SS">ω</ml:id> <ml:id xml:space="preserve" subscript="r">f</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>89663.021494437344</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="206" left="36" top="1566.75" width="44.25" height="16.5" align-x="51" align-y="1575.75" show-border="true" 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="s">f</ml:id> <ml:id xml:space="preserve" subscript="s.SS">f</ml:id> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="359" left="102" top="1572" width="259.5" height="24" align-x="102" align-y="1581.75" 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"> <c val="#00f">Use the calculated fs.SS or type in an actual measured value.</c> </p> </text> </region> <region region-id="221" left="36" top="1629" width="319.5" height="15.75" align-x="36" align-y="1641.75" 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="Heading 1" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Model of Direct Frequency Control (Power stage)</p> </text> </region> <region region-id="637" left="0" top="1677.75" width="6008.25" align-x="0" align-y="1677.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="284.25"> <confidentialArea item-idref="43"/> <rendering item-idref="44"/> </region> <region region-id="660" left="0" top="1713.75" width="6008.25" align-x="0" align-y="1713.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="1004.25"> <confidentialArea item-idref="47"/> <rendering item-idref="48"/> </region> <region region-id="406" left="24" top="1761" width="392.25" height="31.5" align-x="24" align-y="1773.75" 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="Heading 1" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Model of Charge-Current Control (Power Stage + Current Loop)</p> </text> </region> <region region-id="646" left="0" top="1809.75" width="6008.25" align-x="0" align-y="1809.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="422.25"> <confidentialArea item-idref="49"/> <rendering item-idref="50"/> </region> <region region-id="389" left="42" top="1839.75" width="339" height="240.75" align-x="42" align-y="1839.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="51"/> <rendering item-idref="52"/> </region> <region region-id="395" left="36" top="2037.75" width="343.5" height="200.25" align-x="36" align-y="2037.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="53"/> <rendering item-idref="54"/> </region> <region region-id="544" left="18" top="2266.5" width="159" height="13.5" align-x="18" align-y="2277.75" 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="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Additional filter for FB signal</p> </text> </region> <region region-id="578" left="18" top="2295.75" width="244.5" height="135.75" align-x="18" align-y="2295.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="55" display-width="243" display-height="134.25"/> </picture> <rendering item-idref="56"/> </region> <region region-id="551" left="24" top="2436.75" width="66.75" height="16.5" align-x="72.75" align-y="2445.75" show-border="true" 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="FB.lower">R</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="552" left="150" top="2436.75" width="51.75" height="16.5" align-x="174" align-y="2445.75" show-border="true" 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="FB">C</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>100</ml:real> <ml:id xml:space="preserve">p</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="661" left="0" top="2463.75" width="6008.25" align-x="0" align-y="2463.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="194.25"> <confidentialArea item-idref="59"/> <rendering item-idref="60"/> </region> <region region-id="564" left="24" top="2484.75" width="93" height="22.5" align-x="58.5" align-y="2499.75" 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="bw.FB">f</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>884194.12828830746</ml:real> </result> </ml:eval> </math> <rendering item-idref="61"/> </region> <region region-id="568" left="132" top="2496" width="259.5" height="12" align-x="132" align-y="2505.75" 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"> <c val="#00f">Bandwidth of FB-pin LPF</c> </p> </text> </region> <region region-id="566" left="24" top="2528.25" width="71.25" height="35.25" align-x="61.5" align-y="2547.75" 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:apply> <ml:div/> <ml:id xml:space="preserve" subscript="bw.FB">f</ml:id> <ml:id xml:space="preserve" subscript="s">f</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>9.8613019453416761</ml:real> </result> </ml:eval> </math> <rendering item-idref="62"/> </region> <region region-id="569" left="132" top="2538" width="259.5" height="12" align-x="132" align-y="2547.75" 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"> <c val="#00f">Ratio to switching frequency</c> </p> </text> </region> <region 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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"> <c val="#00f">Name the gain, pole, and zero of the compensator.</c> </p> </text> </region> <region region-id="431" left="24" top="2856.75" width="71.25" height="16.5" align-x="64.5" align-y="2865.75" show-border="true" 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="COMP">K</ml:id> <ml:real>10000</ml:real> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="432" left="24" top="2886.75" width="55.5" height="16.5" align-x="62.25" align-y="2895.75" show-border="true" 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="z.comp">f</ml:id> <ml:real>76</ml:real> </ml:define> </math> <rendering item-idref="66"/> </region> <region region-id="436" left="108" top="2886.75" width="57.75" height="16.5" align-x="147.75" align-y="2895.75" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="p.comp">f</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>8</ml:real> <ml:id xml:space="preserve">k</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="67"/> </region> <region region-id="560" left="0" top="2931.75" width="6008.25" align-x="0" align-y="2931.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="266.25"> <confidentialArea item-idref="68"/> <rendering item-idref="69"/> </region> <region region-id="522" left="30" top="2951.25" width="153" height="63.75" align-x="104.25" align-y="2985.75" 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:matrix rows="3" cols="1"> <ml:id xml:space="preserve" subscript="comp.cal">R</ml:id> <ml:id xml:space="preserve" subscript="comp.LF.cal">C</ml:id> <ml:id xml:space="preserve" subscript="comp.HF.cal">C</ml:id> </ml:matrix> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="3" cols="1"> <ml:real>704743.0550399645</ml:real> <ml:real>2.9715E-09</ml:real> <ml:real>2.85E-11</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="70"/> </region> <region region-id="526" left="192" top="2976" width="259.5" height="12" align-x="192" align-y="2985.75" 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"> <c val="#00f">Calculated compensating R,C values.</c> </p> </text> </region> <region region-id="523" left="36" top="3027" width="138.75" height="57" align-x="97.5" align-y="3057.75" 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:matrix rows="3" cols="1"> <ml:id xml:space="preserve" subscript="comp">R</ml:id> <ml:id xml:space="preserve" subscript="comp.LF">C</ml:id> <ml:id xml:space="preserve" subscript="comp.HF">C</ml:id> </ml:matrix> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve" subscript="comp.cal">R</ml:id> <ml:id xml:space="preserve" subscript="comp.LF.cal">C</ml:id> <ml:id xml:space="preserve" subscript="comp.HF.cal">C</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="71"/> </region> <region region-id="529" left="192" top="3048" width="259.5" height="12" align-x="192" align-y="3057.75" 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"> <c val="#00f">Actual implemented R,C values.</c> </p> </text> </region> <region region-id="651" left="0" top="3111.75" width="6008.25" align-x="0" align-y="3111.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="362.25"> <confidentialArea item-idref="72"/> <rendering item-idref="73"/> </region> <region region-id="539" left="150" top="3144" width="259.5" height="12" align-x="150" align-y="3153.75" 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"> <c val="#00f">Cross-over Frequency</c> </p> </text> </region> <region region-id="476" left="48" top="3144.75" width="79.5" height="22.5" align-x="69" align-y="3159.75" 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="bw">f</ml:id> <result 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