.MCAD 306000000 \  docDocumentMmcObject[ d2_graph_format graphData% axisFormat)L)Ltrace2D&&&&&&&&& & & & & &&& dim_formatTmasslengthtimecurrent temperature luminosity substanceNumericalFormatQdii shpRectVmcDocumentObjectState\ mcPageModelK????mcHeaderFooterI@I ComputeEngineNBuiltInsS SerialAnyvalY@@Y @@Y@YMbP?@Y units_classR TextState? TextStyle>@ ArialNormal>@Arial Heading 1>@ Arial Heading 2 >@ Arial Heading 3 >@ Arial Paragraph >@ ArialList >@ ArialIndent >@Times New RomanTitle>@Times New RomanSubtitle font_style_listO font_styleP VariablesArial@P ConstantsArial@P TextArial@P Greek VariablesSymbol@P User 1Arial@P User 2 Courier New@P User 3Arial@P User 4Times New Roman@P User 5Times New Roman@P User 6Arial@P User 7Times New Roman@PSymbolsSymbol@P Current Selection FontArial@P Undefined Font@P HeaderArial@P FooterArial@PRotated Math FontTimes New Roman) TextRegion* docRegionGshpBoxU`^docRegionAttributeH@H"ooo CharacterMap-RangeMap;$Transmission Line Modeling Example 2 ChrPropMap7$ RangeElem<$ ChrPropData8 RangeData=t ParPropMap9$<$ ParPropData:EmbedMap1<LinkMap/$<$LinkData0@NormalArial eqRegionB@U04oN?H @H@H"tree@ p@@@@dj@@{ @@K!@@ 1"*@UqA0#@H$@H")))-&ABCD Parameters for line of any length7&%<&&8"t 9&'<&(:1)</&*<&+0@NormalArial ,@B@U0ja-@H.@H"/@@ p0@@ /1@@@02@@d1A.L3@@p14@@3x5@@06@@d5cosh7@@p58@@79@@d8\g:@@8x;@B@U"b<@H=@H">@@ p?@@ >@@@@@?@A@@d@@B.L@B@@p@@@C@@@Bx@D@@?@E@@d@DZc@F@@@D@G@@d@Fsinh@H@@p@F@I@@@H@J@@d@I\g@K@@@Ix@L@B@U0kT@M@H@N@H"@O@@ p@P@@ @O@Q@@@@P@R@@d@QC.L@S@@p@Q@T@@@Sx@U@@@P@V@@@@U@W@@d@Vsinh@X@@p@V@Y@@@X@Z@@d@Y\g@[@@@Yx@\@@@UZc@]@B@U#/@^@H@_@H"@`@@ p@a@@ @`@b@@@@a@c@@d@bD.L@d@@p@b@e@@@dx@f@@@a@g@@d@fcosh@h@@p@f@i@@@h@j@@d@i\g@k@@@ix@l*@U$ @m@H@n@H"-@AABCD Parameters approximation for line of length >50mi and <150mi7A@o5%(@@H@@H"@@@ p@@@ @@@@@@@@@d@D.S@@@p@@@@@x@@@@1@*@UYkEh@@H@@H"-Transmission Line Equations7@<@8@p 9@<@:1@</@<@0@NormalArial @@B@U~@@H@@H"@@@ p@@@ @@@@@@@@@d@VS@@@p@@@@ @A@@d@AAA@@@BBA@@@A@@@AA@@dAAAA@@AVRA@@AA@@dABBA@@AIRA @B@UHMA @HA @H"A @@ pA @@ A A@@@A A@@dAISA@@pAA@@ AA@@dACCA@@ADDA@@A A@@@AA@@dACCA@@AVRA@@AA@@dADDA@@AIRA*@UA@HA@H"-@LDeviation of Calculated Voltages for Medium and Short Length Approximations 7KKLA@@A=xA?@@{A1A@@@A?AA@@dA@VSAB@@pA@AC@@ ABAD@@@ACAE@@dADA.MAF@@pADAG@@AFxAH@@ACAI@@dAHB.MAJ@@pAHAK@@AJxAL@@{A0AM@@ALAN@@dAMVSAO@@pAMAP@@ AOAQ@@@APAR@@dAQA.LAS@@pAQAT@@ASxAU@@APAV@@dAUB.LAW@@pAUAX@@AWxAY@B@U>xO`AZ@HA[@H"A\@@ pA]@@ A\A^@@@A]A_@@dA^DLSA`@@pA^Aa@@A`xAb@@A]Ac@@@AbAd@@{@AcAe@@AdAf@@dAeVSAg@@pAeAh@@ AgAi@@@AhAj@@dAiA.LAk@@pAiAl@@AkxAm@@AhAn@@dAmB.LAo@@pAmAp@@AoxAq@@{AcAr@@AqAs@@dArVSAt@@pArAu@@ AtAv@@@AuAw@@dAvA.SAx@@pAvAy@@AxxAz@@AuA{@@dAzB.SA|@@pAzA}@@A|xA~@@{AbA@@A~A@@dAVSA@@pAA@@ AA@@@AA@@dAA.LA@@pAA@@AxA@@AA@@dAB.LA@@pAA@@AxA*@UA@HA@H"-4Transmission Line Data (From Example 1 in Session 9)74A<4A8Ap 94A<4A:1A</4A<4A0@NormalArial A@B@U0oDA@HA@H"A@@ pA@@AA@@dALA@@A320A*@UxA@HA@H"   -.(Length of the 230kV Transmission Line in km) 7.9.A<.A:1A</.A<.A0@NormalArial A@B@U0BA@HA@H"A@@ pA@@AA@@dAzA@@pAA@@AA@@tA0.050A@@AA@@dAjA@@A0.488A*@UxxA@HA@H"TTT-.(Series Impedance of Transmission Line per km)7.9.A<.A:1A</.A<.A0@NormalArial A@B@U0DA@HA@H"A@@ pA@@AA@@dAyA@@AA@@@AA@@dAjA@@A3.371A@@AA@@tA10A@@KAA@@A6A*@Ux xA@HA@H"-.(Shunt Admittance of Transmission Line per km)7.9.A<.A:1A</.A<.A0@NormalArial A@B@U04}NBHA@HA@H"A@@ pA@@AA@@dA\gA@@{AA@@AA@@dAzA@@AyA*@Ux;KxHA@HA@H"CCC-2(Attenuation Constant of Transmission Line per km)7292A<2A:1A</2A<2A0@NormalArial A@B@U0WzNxA@HA@H"A@@ pA@@AA@@dAZcA@@{AA@@AA@@dAzA@@AyA*@Uxk{xxA@HA@H"-/(Characteristic Impedance of Transmission Line)7/9/A@HB?@H"B@@@ pBA@@B@BB@@@BABC@@dBBDLSBD@@pBBBE@@BDBF@@tBE50BG@@BE1.609BH@@BABI@@+@BHSerial_DisplayNodeXBJ@@BH%6Jq`BK@B@UPBL@HBM@H"BN@@ pBO@@BNBP@@@BOBQ@@dBPDLMBR@@pBPBS@@BRBT@@tBS150BU@@BS1.609BV@@BOBW@@+@BV@XBX@@BV%6Jq`BY@B@UBZ@HB[@H"B\@@ pB]@@B\B^@@5@B]B_@@tB^1B`@@B^miBa@@B]Bb@@+@Ba@XBc@@Bakm5Jq`