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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">β</ml:id> <ml:real>2056</ml:real> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="454" left="282" top="111" width="39" height="16.5" align-x="302.25" align-y="120" 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="fd">R</ml:id> <ml:real>1.0</ml:real> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="447" left="24" top="135" width="54.75" height="16.5" align-x="51" align-y="144" 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="e1.0">S</ml:id> <ml:real>0.035</ml:real> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="448" left="180" top="135" width="36.75" height="12.75" align-x="193.5" align-y="144" 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">X</ml:id> <ml:real>7.45</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="449" left="24" top="159" width="45" height="12.75" align-x="36.75" align-y="168" 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="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>3.5</ml:real> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="480" left="24" top="183" width="47.25" height="16.5" align-x="45.75" align-y="192" 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="du">L</ml:id> <ml:id xml:space="preserve" subscript="du">X</ml:id> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="481" left="180" top="183" width="47.25" height="16.5" align-x="201.75" align-y="192" 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="qu">L</ml:id> <ml:id xml:space="preserve" subscript="qu">X</ml:id> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="482" left="282" top="183" width="60.75" height="16.5" align-x="310.5" align-y="192" 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="mdu">L</ml:id> <ml:id xml:space="preserve" subscript="mdu">X</ml:id> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="485" left="24" top="207" width="59.25" height="16.5" align-x="51.75" align-y="216" 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="ffdu">L</ml:id> <ml:id xml:space="preserve" subscript="ffdu">X</ml:id> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="84" left="0" top="236.25" width="108.75" height="12" align-x="3.75" 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="false"> <f family="Arial" charset="0"> <inlineAttr line-through="false">III. Prefault Conditions </inlineAttr> </f> </text> </region> <region region-id="463" left="24" top="266.25" width="43.5" height="12" align-x="27" 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"> <f family="Arial" charset="0"> <inlineAttr line-through="false">A. Power</inlineAttr> </f> </text> </region> <region region-id="467" left="36" top="291" width="30" height="12.75" align-x="47.25" align-y="300" 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">P</ml:id> <ml:real>0.5</ml:real> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="465" left="180" top="291" width="31.5" height="12.75" align-x="192.75" align-y="300" 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">Q</ml:id> <ml:real>0.3</ml:real> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="470" left="282" top="291" width="48.75" height="12.75" align-x="293.25" align-y="300" 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="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">S</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">Q</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="458" left="24" top="320.25" width="93.75" height="12" align-x="27" align-y="330" 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"> <f family="Arial" charset="0"> <inlineAttr line-through="false">B. Phasor Variables</inlineAttr> </f> </text> </region> <region region-id="85" left="30" top="345" width="72.75" height="22.5" align-x="51" align-y="360" 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="as">V</ml:id> <ml:apply> <ml:mult/> <ml:real>1.0</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="479" left="186" top="351" width="46.5" height="16.5" align-x="215.25" align-y="360" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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<unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="25"/> </region> <region region-id="475" left="30" top="377.25" width="43.5" height="34.5" align-x="48" align-y="396" 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="as">I</ml:id> <ml:apply> <ml:conjugate/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">S</ml:id> <ml:id xml:space="preserve" subscript="as">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="478" left="186" top="387" width="59.25" height="16.5" align-x="212.25" align-y="396" show-border="true" 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="as">I</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.58309518948453</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="473" left="282" top="387" width="92.25" height="16.5" align-x="319.5" align-y="396" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">arg</ml:id> <ml:id xml:space="preserve" subscript="as">I</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-30.963756532073521</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="319" left="30" top="417" width="54.75" height="16.5" align-x="42" 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">α</ml:id> <ml:apply> <ml:id xml:space="preserve">arg</ml:id> <ml:id xml:space="preserve" subscript="as">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="477" left="186" top="417" width="40.5" height="12.75" align-x="197.25" align-y="426" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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<ml:apply> <ml:id xml:space="preserve">arg</ml:id> <ml:id xml:space="preserve" subscript="as">I</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="476" left="186" top="453" width="61.5" height="12.75" align-x="198" align-y="462" show-border="true" 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">ϕ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>30.963756532073521</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="217" left="30" top="489" 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="qas">E</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.4298867087989875</ml:real> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="263" left="294" top="489" width="94.5" height="16.5" align-x="339" align-y="498" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">arg</ml:id> <ml:id xml:space="preserve" subscript="qas">E</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>22.188336141291732</ml:real> <unitMonomial 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subscript="r0">θ</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">arg</ml:id> <ml:id xml:space="preserve" subscript="qas">E</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="257" left="186" top="567" width="72.75" height="16.5" align-x="204" align-y="576" show-border="true" 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="r0">θ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-67.811663858708272</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference 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