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\viewkind4\uc1\pard\f0\fs18\{p\}\par \{f\}\par }</left> <center>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\qc\f0\fs18 Page \{n\} of \{nn\}\par }</center> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\qr\f0\fs18 September 12, 2011\par }</right> </footer> </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="false" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="error"> <compatibility multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="true" ruler-unit="in"/> <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="163" 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="65" left="144" top="15" width="47.25" height="12.75" align-x="168.75" align-y="24" 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">kVA</ml:id> <ml:id xml:space="preserve">kW</ml:id> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="66" left="240" top="13.5" width="35.25" height="14.25" align-x="250.5" align-y="24" 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">j</ml:id> <ml:apply> <ml:sqrt/> <ml:real>-1</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="67" left="330" top="9" width="60.75" height="18.75" align-x="351" align-y="24" 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">mΩ</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="16" left="6" top="35.25" width="129" height="15.75" align-x="18.75" align-y="48" 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"> Define the Situation </text> </region> <region region-id="24" left="6" top="56.25" width="195.75" height="12" align-x="9" align-y="66" 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"> The ratings of a single-phase transformer are: </text> </region> <region region-id="23" left="12" top="81" width="73.5" height="16.5" align-x="47.25" align-y="90" 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="rating">S</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">kVA</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="22" left="156" top="81" width="78" height="16.5" align-x="198.75" align-y="90" 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="Hrating">V</ml:id> <ml:apply> <ml:mult/> <ml:real>8000</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="21" left="300" top="81" width="73.5" height="16.5" align-x="342.75" align-y="90" 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="Xrating">V</ml:id> <ml:apply> <ml:mult/> <ml:real>240</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="26" left="6" top="116.25" width="276" height="12" align-x="14.25" 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="false"> The paramerters of the transformer refferred to the high-side are: </text> </region> <region region-id="31" left="54" top="147" width="63.75" height="16.5" align-x="83.25" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Heq">R</ml:id> <ml:apply> <ml:mult/> <ml:real>38.4</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="32" left="156" top="147" width="62.25" height="16.5" align-x="186" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Heq">X</ml:id> <ml:apply> <ml:mult/> <ml:real>192</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="33" left="54" top="201" width="62.25" height="16.5" align-x="79.5" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HC">R</ml:id> <ml:apply> <ml:mult/> <ml:real>159</ml:real> <ml:id xml:space="preserve">kΩ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="126" left="162" top="201" width="66" height="16.5" align-x="189" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Hm">X</ml:id> <ml:apply> <ml:mult/> <ml:real>38.4</ml:real> <ml:id xml:space="preserve">kΩ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="36" left="6" top="242.25" width="220.5" height="12" align-x="12" align-y="252" 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"> An "H" denotes high voltage transformer quantities. </text> </region> <region region-id="38" left="6" top="266.25" width="215.25" height="12" align-x="12" 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="false"> An "X" denotes low voltage transformer quantities. </text> </region> <region region-id="41" left="6" top="299.25" width="37.5" height="15.75" align-x="16.5" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Goals </text> </region> <region region-id="158" left="42" top="332.25" width="168.75" height="12" align-x="52.5" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> a)<tab/>What is the rated high side current? </text> </region> <region region-id="159" left="42" top="362.25" width="165" height="12" align-x="52.5" align-y="372" 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"> b)<tab/>What is the rated low side current? </text> </region> <region region-id="160" left="42" top="392.25" width="382.5" height="12" align-x="43.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> c)<tab/>Determine the voltage regulation of the transformer with a low side load impedance of: </text> </region> <region region-id="161" left="108" top="417" width="96.75" height="16.5" align-x="132.75" align-y="426" 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="XL">Z</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>2.8</ml:real> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:real>0.70</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="162" left="54" top="440.25" width="139.5" height="12" align-x="60.75" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> and a primary voltage of 8000 V. </text> </region> <region region-id="163" left="42" top="476.25" width="322.5" height="12" align-x="43.5" align-y="486" 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"> d)<tab/>Determine the energy efficiency for the conditions described in Part "c". </text> </region> <region region-id="63" left="6" top="623.25" width="99.75" height="15.75" align-x="23.25" align-y="636" 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"> Generate Ideas </text> </region> <region region-id="64" left="72" top="658.5" width="108" height="35.25" align-x="90" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:id xml:space="preserve">VR</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="HNL">V</ml:id> <ml:id xml:space="preserve" subscript="HL">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="HL">V</ml:id> </ml:apply> <ml:real>100</ml:real> </ml:apply> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="12"/> </region> <region region-id="70" left="6" top="725.25" width="79.5" height="15.75" align-x="15" align-y="738" 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"> Take Action </text> </region> <region region-id="68" left="12" top="776.25" width="168.75" height="12" align-x="22.5" align-y="786" 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"> a)<tab/>What is the rated high side current? </text> </region> <region region-id="74" left="84" top="826.5" width="87" height="35.25" align-x="123.75" align-y="846" 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="Hrating">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="rating">S</ml:id> <ml:id xml:space="preserve" subscript="Hrating">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="73" left="240" top="837" width="72" height="16.5" align-x="278.25" align-y="846" 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="Hrating">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="75" left="18" top="902.25" width="165" height="12" align-x="28.5" align-y="912" 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"> b)<tab/>What is the rated low side current? </text> </region> <region region-id="80" left="90" top="940.5" width="87" height="35.25" align-x="129.75" align-y="960" 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="Xrating">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="rating">S</ml:id> <ml:id xml:space="preserve" subscript="Xrating">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="81" left="246" top="951" width="85.5" height="16.5" align-x="284.25" align-y="960" 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="Xrating">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>83.333333333333329</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="76" left="18" top="998.25" width="407.25" height="12" align-x="19.5" align-y="1008" 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"> c)<tab/>Determine the voltage regulation of the transformer with a low side load impedance of: </text> </region> <region region-id="128" left="84" top="1017" width="92.25" height="16.5" align-x="108.75" align-y="1026" 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="XL">Z</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>2.8</ml:real> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:real>0.7</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="78" left="30" top="1046.25" width="139.5" height="12" align-x="36.75" align-y="1056" 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"> and a primary voltage of 8000 V. </text> </region> <region region-id="85" left="72" top="1094.25" width="49.5" height="27.75" align-x="83.25" align-y="1110" 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">a</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>8000</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>240</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="136" left="228" top="1101" width="48" height="12.75" align-x="237.75" align-y="1110" 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">a</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>33.333333333333336</ml:real> </result> </ml:eval> </math> <rendering item-idref="19"/> </region> <region region-id="130" left="354" top="1095" width="72.75" height="18.75" align-x="368.25" align-y="1110" 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:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1111.1111111111113</ml:real> </result> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="84" left="72" top="1155" width="63" height="22.5" align-x="96.75" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="XL">Z</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="135" left="228" top="1161" width="108" height="16.5" align-x="251.25" align-y="1170" 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="HL">Z</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kΩ</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:complex> <ml:real>3.1111111111111112</ml:real> <ml:imag>0.77777777777777779</ml:imag> </ml:complex> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kiloohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="88" left="72" top="1203" width="63.75" height="16.5" align-x="91.5" align-y="1212" 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="H">V</ml:id> <ml:id xml:space="preserve" subscript="Hrating">V</ml:id> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="134" left="228" top="1197" width="68.25" height="22.5" align-x="246" align-y="1212" 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="H">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8000</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="87" left="72" top="1246.5" width="146.25" height="35.25" align-x="96.75" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HL">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="H">V</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> <ml:id xml:space="preserve" subscript="Heq">R</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve" subscript="Heq">X</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="133" left="228" top="1257" width="106.5" height="16.5" align-x="251.25" align-y="1266" 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="HL">V</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:complex> <ml:real>7.7737446082654662</ml:real> <ml:imag>-0.41802759302822978</ml:imag> </ml:complex> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilovolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="91" left="72" top="1311" width="76.5" height="16.5" align-x="113.25" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HL">magV</ml:id> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="HL">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="132" left="228" top="1305" width="105.75" height="22.5" align-x="267.75" align-y="1320" 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="HL">magV</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>7784.9760631018889</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="95" left="66" top="1366.5" width="90" height="35.25" align-x="85.5" align-y="1386" 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">VR</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="H">V</ml:id> <ml:id xml:space="preserve" subscript="HL">magV</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="HL">magV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="131" left="228" top="1377" width="57" height="12.75" align-x="246" align-y="1386" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">VR</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">%</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.7620372260006119</ml:real> </result> </ml:eval> </math> <rendering item-idref="30"/> </region> <region region-id="79" left="18" top="1430.25" width="322.5" height="12" align-x="19.5" align-y="1440" 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"> d)<tab/>Determine the energy efficiency for the conditions described in Part "c". </text> </region> <region region-id="141" left="60" top="1486.5" width="48" height="41.25" align-x="78" align-y="1512" 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="C">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="H">V</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="HC">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="146" left="216" top="1503" width="66" height="16.5" align-x="232.5" align-y="1512" 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="C">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">W</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>402.51572327044028</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="140" left="60" top="1552.5" width="44.25" 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xml:space="preserve">A</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.427600902602252</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="139" left="60" top="1605" width="84.75" height="22.5" align-x="81.75" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="eq">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="L">I</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="Heq">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="144" left="216" top="1617" width="74.25" height="16.5" align-x="236.25" align-y="1626" 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="eq">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>226.30065186490631</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="138" left="60" top="1659" width="93.75" height="22.5" align-x="77.25" align-y="1674" 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="L">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="L">I</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="143" left="216" top="1671" width="65.25" height="16.5" align-x="231.75" align-y="1680" 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="L">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kW</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>18.334543553869725</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilowatt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="137" left="60" top="1708.5" width="85.5" height="35.25" align-x="73.5" align-y="1728" 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">η</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="L">P</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="L">P</ml:id> <ml:id xml:space="preserve" subscript="C">P</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="eq">P</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="142" left="216" top="1725" width="55.5" height="12.75" align-x="228" align-y="1734" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">η</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">%</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>96.68404556212873</ml:real> </result> </ml:eval> </math> <rendering item-idref="40"/> </region> <region region-id="147" left="60" top="1791" width="97.5" height="16.5" align-x="102" align-y="1800" 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" 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<mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" 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="true" show-footer-frame="true" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\f0\fs18 ECE 320\par }</left> <center>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\qc\f0\fs18 Transformers\par }</center> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\qr\f0\fs18 s09a\par }</right> </header> <footer use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\f0\fs18\{p\}\par \{f\}\par }</left> <center>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\qc\f0\fs18 Page \{n\} of \{nn\}\par }</center> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fprq11\fcharset0 Arial;}} \viewkind4\uc1\pard\qr\f0\fs18 September 12, 2011\par }</right> </footer> </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="false" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="error"> <compatibility multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="true" ruler-unit="in"/> <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="163" 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="65" left="144" top="15" width="47.25" height="12.75" align-x="168.75" align-y="24" 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">kVA</ml:id> <ml:id xml:space="preserve">kW</ml:id> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="66" left="240" top="13.5" width="35.25" height="14.25" align-x="250.5" align-y="24" 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">j</ml:id> <ml:apply> <ml:sqrt/> <ml:real>-1</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="67" left="330" top="9" width="60.75" height="18.75" align-x="351" align-y="24" 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">mΩ</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="16" left="6" top="35.25" width="129" height="15.75" align-x="18.75" align-y="48" 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"> Define the Situation </text> </region> <region region-id="24" left="6" top="56.25" width="195.75" height="12" align-x="9" align-y="66" 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"> The ratings of a single-phase transformer are: </text> </region> <region region-id="23" left="12" top="81" width="73.5" height="16.5" align-x="47.25" align-y="90" 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="rating">S</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">kVA</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="22" left="156" top="81" width="78" height="16.5" align-x="198.75" align-y="90" 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="Hrating">V</ml:id> <ml:apply> <ml:mult/> <ml:real>8000</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="21" left="300" top="81" width="73.5" height="16.5" align-x="342.75" align-y="90" 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="Xrating">V</ml:id> <ml:apply> <ml:mult/> <ml:real>240</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="26" left="6" top="116.25" width="276" height="12" align-x="14.25" 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="false"> The paramerters of the transformer refferred to the high-side are: </text> </region> <region region-id="31" left="54" top="147" width="63.75" height="16.5" align-x="83.25" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Heq">R</ml:id> <ml:apply> <ml:mult/> <ml:real>38.4</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="32" left="156" top="147" width="62.25" height="16.5" align-x="186" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Heq">X</ml:id> <ml:apply> <ml:mult/> <ml:real>192</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="33" left="54" top="201" width="62.25" height="16.5" align-x="79.5" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HC">R</ml:id> <ml:apply> <ml:mult/> <ml:real>159</ml:real> <ml:id xml:space="preserve">kΩ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="126" left="162" top="201" width="66" height="16.5" align-x="189" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="Hm">X</ml:id> <ml:apply> <ml:mult/> <ml:real>38.4</ml:real> <ml:id xml:space="preserve">kΩ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="36" left="6" top="242.25" width="220.5" height="12" align-x="12" align-y="252" 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"> An "H" denotes high voltage transformer quantities. </text> </region> <region region-id="38" left="6" top="266.25" width="215.25" height="12" align-x="12" 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="false"> An "X" denotes low voltage transformer quantities. </text> </region> <region region-id="41" left="6" top="299.25" width="37.5" height="15.75" align-x="16.5" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Goals </text> </region> <region region-id="158" left="42" top="332.25" width="168.75" height="12" align-x="52.5" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> a)<tab/>What is the rated high side current? </text> </region> <region region-id="159" left="42" top="362.25" width="165" height="12" align-x="52.5" align-y="372" 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"> b)<tab/>What is the rated low side current? </text> </region> <region region-id="160" left="42" top="392.25" width="382.5" height="12" align-x="43.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> c)<tab/>Determine the voltage regulation of the transformer with a low side load impedance of: </text> </region> <region region-id="161" left="108" top="417" width="96.75" height="16.5" align-x="132.75" align-y="426" 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="XL">Z</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>2.8</ml:real> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:real>0.70</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="162" left="54" top="440.25" width="139.5" height="12" align-x="60.75" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> and a primary voltage of 8000 V. </text> </region> <region region-id="163" left="42" top="476.25" width="322.5" height="12" align-x="43.5" align-y="486" 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"> d)<tab/>Determine the energy efficiency for the conditions described in Part "c". </text> </region> <region region-id="63" left="6" top="623.25" width="99.75" height="15.75" align-x="23.25" align-y="636" 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"> Generate Ideas </text> </region> <region region-id="64" left="72" top="658.5" width="108" height="35.25" align-x="90" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:id xml:space="preserve">VR</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="HNL">V</ml:id> <ml:id xml:space="preserve" subscript="HL">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="HL">V</ml:id> </ml:apply> <ml:real>100</ml:real> </ml:apply> <ml:id xml:space="preserve">%</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="12"/> </region> <region region-id="70" left="6" top="725.25" width="79.5" height="15.75" align-x="15" align-y="738" 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"> Take Action </text> </region> <region region-id="68" left="12" top="776.25" width="168.75" height="12" align-x="22.5" align-y="786" 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"> a)<tab/>What is the rated high side current? </text> </region> <region region-id="74" left="84" top="826.5" width="87" height="35.25" align-x="123.75" align-y="846" 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="Hrating">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="rating">S</ml:id> <ml:id xml:space="preserve" subscript="Hrating">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="73" left="240" top="837" width="72" height="16.5" align-x="278.25" align-y="846" 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="Hrating">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="75" left="18" top="902.25" width="165" height="12" align-x="28.5" align-y="912" 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"> b)<tab/>What is the rated low side current? </text> </region> <region region-id="80" left="90" top="940.5" width="87" height="35.25" align-x="129.75" align-y="960" 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="Xrating">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="rating">S</ml:id> <ml:id xml:space="preserve" subscript="Xrating">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="81" left="246" top="951" width="85.5" height="16.5" align-x="284.25" align-y="960" 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="Xrating">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>83.333333333333329</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="76" left="18" top="998.25" width="407.25" height="12" align-x="19.5" align-y="1008" 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"> c)<tab/>Determine the voltage regulation of the transformer with a low side load impedance of: </text> </region> <region region-id="128" left="84" top="1017" width="92.25" height="16.5" align-x="108.75" align-y="1026" 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="XL">Z</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:real>2.8</ml:real> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:real>0.7</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="78" left="30" top="1046.25" width="139.5" height="12" align-x="36.75" align-y="1056" 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"> and a primary voltage of 8000 V. </text> </region> <region region-id="85" left="72" top="1094.25" width="49.5" height="27.75" align-x="83.25" align-y="1110" 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">a</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>8000</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>240</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="136" left="228" top="1101" width="48" height="12.75" align-x="237.75" align-y="1110" 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">a</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>33.333333333333336</ml:real> </result> </ml:eval> </math> <rendering item-idref="19"/> </region> <region region-id="130" left="354" top="1095" width="72.75" height="18.75" align-x="368.25" align-y="1110" 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:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1111.1111111111113</ml:real> </result> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="84" left="72" top="1155" width="63" height="22.5" align-x="96.75" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="XL">Z</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="135" left="228" top="1161" width="108" height="16.5" align-x="251.25" align-y="1170" 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="HL">Z</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kΩ</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:complex> <ml:real>3.1111111111111112</ml:real> <ml:imag>0.77777777777777779</ml:imag> </ml:complex> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kiloohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="88" left="72" top="1203" width="63.75" height="16.5" align-x="91.5" align-y="1212" 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="H">V</ml:id> <ml:id xml:space="preserve" subscript="Hrating">V</ml:id> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="134" left="228" top="1197" width="68.25" height="22.5" align-x="246" align-y="1212" 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="H">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8000</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="87" left="72" top="1246.5" width="146.25" height="35.25" align-x="96.75" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HL">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="H">V</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> <ml:id xml:space="preserve" subscript="Heq">R</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve" subscript="Heq">X</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="133" left="228" top="1257" width="106.5" height="16.5" align-x="251.25" align-y="1266" 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="HL">V</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:complex> <ml:real>7.7737446082654662</ml:real> <ml:imag>-0.41802759302822978</ml:imag> </ml:complex> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilovolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="91" left="72" top="1311" width="76.5" height="16.5" align-x="113.25" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="HL">magV</ml:id> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="HL">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="132" left="228" top="1305" width="105.75" height="22.5" align-x="267.75" align-y="1320" 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="HL">magV</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>7784.9760631018889</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="95" left="66" top="1366.5" width="90" height="35.25" align-x="85.5" align-y="1386" 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">VR</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="H">V</ml:id> <ml:id xml:space="preserve" subscript="HL">magV</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="HL">magV</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="131" left="228" top="1377" width="57" height="12.75" align-x="246" align-y="1386" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">VR</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">%</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.7620372260006119</ml:real> </result> </ml:eval> </math> <rendering item-idref="30"/> </region> <region region-id="79" left="18" top="1430.25" width="322.5" height="12" align-x="19.5" align-y="1440" 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"> d)<tab/>Determine the energy efficiency for the conditions described in Part "c". </text> </region> <region region-id="141" left="60" top="1486.5" width="48" height="41.25" align-x="78" align-y="1512" 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="C">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="H">V</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="HC">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="146" left="216" top="1503" width="66" height="16.5" align-x="232.5" align-y="1512" 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="C">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">W</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>402.51572327044028</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="140" left="60" top="1552.5" width="44.25" height="35.25" align-x="75" align-y="1572" 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="L">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="HL">V</ml:id> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="145" left="216" top="1563" width="60.75" height="16.5" align-x="238.5" align-y="1572" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="L">I</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">A</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.427600902602252</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="139" left="60" top="1605" width="84.75" height="22.5" align-x="81.75" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="eq">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="L">I</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="Heq">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="144" left="216" top="1617" width="74.25" height="16.5" align-x="236.25" align-y="1626" 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="eq">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>226.30065186490631</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="138" left="60" top="1659" width="93.75" height="22.5" align-x="77.25" align-y="1674" 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="L">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="L">I</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:id xml:space="preserve" subscript="HL">Z</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="143" left="216" top="1671" width="65.25" height="16.5" align-x="231.75" align-y="1680" 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="L">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kW</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>18.334543553869725</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilowatt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="137" left="60" top="1708.5" width="85.5" height="35.25" align-x="73.5" align-y="1728" 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">η</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="L">P</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="L">P</ml:id> <ml:id xml:space="preserve" subscript="C">P</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="eq">P</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="142" left="216" top="1725" width="55.5" height="12.75" align-x="228" align-y="1734" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">η</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">%</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>96.68404556212873</ml:real> </result> </ml:eval> </math> <rendering item-idref="40"/> </region> <region region-id="147" left="60" top="1791" width="97.5" height="16.5" align-x="102" align-y="1800" 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="out">magS</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="HL">V</ml:id> </ml:apply> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="L">I</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="148" left="216" top="1791" width="93.75" height="16.5" align-x="256.5" align-y="1800" 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="out">magS</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kVA</ml:id> </ml:unitOverride> <result 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