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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  VariablesTimes New Roman@P  ConstantsTimes New Roman@P TextArial@P Greek VariablesSymbol@P User 1Arial@P User 2 Courier New@P User 3System@P User 4Script@P User 5Roman@P User 6Modern@P User 7Times New Roman@P SymbolsSymbol@P Current Selection FontArial@P Undefined Font@P HeaderArial@P FooterArial@P Rotated Math FontTimes New Roman TextRegion* docRegionGshpBoxU2#9" "  CharacterMap-RangeMap;@wThis program computes the directional torque equations for relays Rs and Rr with various faults located at F1 and F2.  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Transmission line calculations7#<# ChrPropData8}9#<# :1!</#"<##0@NormalArial $*@UK4[X;1,,-' 1.1.2 Unbalanced line parameter matrix7&'%<&8$'<&(8$}%''9')<'*:1+</',<'-0@NormalArial .eqRegionB@U0{| /tree@ p0@@ /1@@d0 Line_Length2@@0253@B@UeH4@@ p5@@ 46@@d5ZL7@@58@@p@79@@08:@@0A9;@@0A:<@@0A;=@@0A<>@@0A=?@@0A>@@@@0A?@A@@0A@@@B@@@@A@C@@@A@D@@t@C0.2201@E@@@C0.9608i@F@@@@@G@@t@F0.1175@H@@@F0.4895i@I@@?@J@@t@I0.1133@K@@@I0.4608i@L@@>@M@@t@L0.1175@N@@@L0.4895i@O@@=@P@@t@O0.2285@Q@@@O0.9575i@R@@<@S@@t@R0.1175@T@@@R0.4895i@U@@;@V@@t@U0.1133@W@@@U0.4608i@X@@:@Y@@t@X0.1175@Z@@@X0.4895i@[@@9@\@@t@[0.2201@]@@@[0.9608i@^@@7 Line_Length@_*@UP<1HH-+ 1.1.3 Balanced line parameter computations7+@`<+@a8@_}9+@b<+@c:1@d</+@e<+@f0@NormalArial @g@B@U 9X@h@@ p@i@@ @h@j@@d@iZm@k@@@i@l@@p@@k@m@@@l@n@@@@m@o@@@@n@p@@d@oZL@q@@ @o@r@@t@q0@s@@@q1@t@@@n@u@@d@tZL@v@@ @t@w@@t@v0@x@@@v2@y@@@m@z@@d@yZL@{@@ @y@|@@t@{2@}@@@{1@~@@@k3@@B@UY@@@ p@@@ @@@@d@Zs@@@@@@@p@@@@@@@@@@@@@@@@@@@d@ZL@@@ @@@@t@0@@@@0@@@@@@@d@ZL@@@ @@@@t@1@@@@1@@@@@@@d@ZL@@@ @@@@t@2@@@@2@@@@3@@B@U 8@@@ p@@@@@@@d@Zm@@@@@@@+@@Serial_DisplayNodeX@@@@@@B@UP@@@ p@@@@@@@d@Zs@@@@@@@+@@@X@@@@@*@U+;8^1-6 1.1.3.1 Symmetrical component impedance calculations746@<@8@@<4@8@}@@@96@<6@:1@</6@<6@0@NormalArial @@B@UCsV.P_@@@ p@@@ @@@@d@Z1@@@p@@@@@@@@d@Zs@@@@Zm@@B@UCXVPi@@@ p@@@@@@@d@Z1@@@@@@@+@@@X@@@@@@B@Ucv.p@@@ p@@@ @@@@d@Z0@@@p@@@@@@@@d@Zs@@@@@@@t@2@@@@Zm@@B@Ucevp@@@ p@@@@@@@d@Z0@@@@@@@+@@@X@@@@@*@UoaIgg-* 1.1.3.2 Asymmetrical compensation factor7*@<*@8@}9*@<*@:1@</*@<*@0@NormalArial @@B@Us-b@@@ p@@@ @@@@d@k0@@@@@@@p@@@@@@@@@d@Z0@@@@Z1@@@@@@@t@3@@@@Z1@@B@U]k@@@ p@@@@@@@d@k0@@@@@@@+@@@X@@@@@*@UCSP A-1.2 Network impedance matrices7@<@8@}9@<@:1@</@<@0@NormalArial @*@Ukl{x Add-0 1.2.1 Default R and S voltage source impedance 70@<0@8@}90@<0@:1@</0@<0@0@NormalArial @@B@U* @@@ p@@@ @@@@d@Zss@@@p@@@@0@A@@0A@A@@0AAA@@0AAA@@0AAA@@0AAA@@0AAA@@0AAA@@0AAA@@@AA @@AA @@tA 1A @@A 6iA @@A0A @@A0A@@A0A@@AA@@tA1A@@A6iA@@A0A@@A0A@@A0A@@@A@@tA1A@@A6iA@B@U A@@ pA@@ AA@@dAZrrA@@AZssA*@U+A##-' 1.2.2 Default fault impedance matrices7'A<'A8A}9'A <'A!:1A"</'A#<'A$0@NormalArial A%*@U020A-" 1.2.3 Infinite impedance matrices7"A&<"A'8A%}9"A(<"A):1A*</"A+<"A,0@NormalArial A-@B@UP1(~A.@@ pA/@@ A.A0@@dA/ZffA1@@pA/A2@@0A1A3@@0AA2A4@@0AA3A5@@0AA4A6@@0AA5A7@@0AA6A8@@0AA7A9@@0AA8A:@@0AA9A;@@@A:A<@@A:A=@@tA<10A>@@A<8A?@@A90A@@@A80AA@@A70AB@@A6AC@@tAB10AD@@AB8AE@@A50AF@@A40AG@@A30AH@@A2AI@@tAH10AJ@@AH8AK@B@U.(AL@@ pAM@@ ALAN@@dAMZfrAO@@AMZffAP*@U#Dc0߄@@-@KThis matrix is used as a constant for building the system impedance matrix.7K9KAQA@@ pA@@ AA@@dAaA@@AA@@@AA@@dAcosA@@pAA@@AA@@tA2A@@AA@@dA\pA@@A3A@@5AA@@@AA@@dAsinA@@pAA@@AA@@tA2A@@AA@@dA\pA@@A3A@@A1iA@B@U8!GA@@ pA@@ AA@@dA\dA@@AA@@@AA@@dAcosA@@pAA@@AA@@@AA@@dA\pA@@AangA@@A180A@@5AA@@@AA@@dAsinA@@pAA@@AA@@@AA@@dA\pA@@AangA@@A180A@@A1iA*@U3C@A- 1.3.2 S end voltage source 7A<A8A}9A<A:1A</A<A0@NormalArial A*@U 3.o @E<<-B Zsystem Definitions Output: Z: System impedance matrix For this system - the result is a [12X12] matrix of complex variables Input: Zs: S end voltage source Impedance matrix1 Zr: R end voltage source Impedance matrix1 ZL: Total length line impedance matrix1 Zff: Forward fault impedance matrix1 Zfr: Reverse fault impedance matrix1 mf: Percent of line length to forward2 mr: Percent of line length to reverse fault2 Notes: 1. [3X3] matrix of complex values 2. Scalar in range 0.0001 to 0.99997A<A8AA<A8AyAA<A8AAA<A8A_AA<A8AAA<+A8AAA<A8A_AA<(B8AAB<B8A_AB<%B8ABB<B8A_BB<$B8ABB <B 8A_BB <&B 8AB B <B8A_B B<B8AB B<+B8ABB<B8A_BB@@@B=B?@@B=B@@@@B?BA@@dB@VgBB@@B@\dBC@@B?aBD@@B@@dC=Y2C?@@C=C@@@dC?stackCA@@pC?CB@@ CACC@@dCBY2CD@@CBY32CE@@B{CF@@dCEY2CG@@CECH@@dCGstackCI@@pCGCJ@@ CICK@@dCJY2CL@@CJY42CM@@BzCN@@dCMY3CO@@CMCP@@dCOstackCQ@@pCOCR@@ CQCS@@dCRY13CT@@CRY23CU@@ByCV@@dCUY3CW@@CUCX@@dCWstackCY@@pCWCZ@@ CYC[@@dCZY3C\@@CZY33C]@@BxC^@@dC]Y3C_@@C]C`@@dC_stackCa@@pC_Cb@@ CaCc@@dCbY3Cd@@CbY43Ce@@BwCf@@dCeY4Cg@@CeCh@@dCgstackCi@@pCgCj@@ CiCk@@dCjY14Cl@@CjY24Cm@@BvCn@@dCmY4Co@@CmCp@@dCostackCq@@pCoCr@@ CqCs@@dCrY4Ct@@CrY34Cu@@BuCv@@dCuY4Cw@@CuCx@@dCwstackCy@@pCwCz@@ CyC{@@dCzY4C|@@CzY44C}@@BtC~@@dC}YC@@C}C@@dCaugmentC@@pCC@@ CC@@dCY1C@@CY2C@@BsC@@dCYC@@CC@@dCaugmentC@@pCC@@ CC@@dCYC@@CY3C@@BrC@@dCYC@@CC@@dCaugmentC@@pCC@@ CC@@dCYC@@CY4C@@sBqC@@CC@@dCYC@@KCC@@C1C*@U   A-# 1.4.2 Compute system node voltages7#C<#C8C}9#C<#C:1C</#C<#C0@NormalArial C*@U S?  +;;l;l-B4 Solve_Node_Voltages Definitions Output: Vn: Vnode voltages1 Input: Es: S end voltage source2 Er: R end voltage source2 Zs: S end voltage source Impedance matrix3 Zr: R end voltage source Impedance matrix3 ZL: Total length line impedance matrix3 Zff: Forward fault impedance matrix3 Zfr: Reverse fault impedance matrix3 mf: Percent of line length to forward4 mr: Percent of line length to reverse fault4 Notes: 1. [1X12] column vector = [V1 : V2 : V3 : V4]T 2. [1X3] column vector 3. [3X3] matrix of complex values 4. Scalar in range 0.0001 to 0.99997 4C<C8CC< C8CyCC<C8CCC<C8C_CC<C8CCC< C8CCC<C8CCC<C8C_CC<C8CCC<C8CCC<C8CCC<C8C_CC<+C8CCC<C8C_CC<C8CCC<+C8CCC<C8C_CC<(C8CCC<C8C_CC<%C8CCC<C8C_CC<$C8CCC<C8C_CC<&C8CCC<C8C@ ArialCC<C8CCC<+C8CCC<C8C_CC<C8C_CC< C8C_CC<)C8CCC<C8C_CC<_C8C_CCC94C<4C:1C</4C<4C0@NormalArial C@B@UK <4 GX %C@@ pC@@ CC@@@CC@@dCSolve_Node_VoltagesC@@pCC@@ CC@@ @CC@@ @CC@@ @CC@@ @CC@@ @CC@@ @CC@@ @CC@@dCEsC@@CErC@@CZsC@@CZrC@@CZLC@@CZffC@@CZfrC@@CmfD@@CmrD@@CD@@@DD@@@DD@@@DD@@@DD@@@DD@@@DD@@@DD @@dDZD @@DD @@dD ZsystemD @@pD D @@ D D@@ @D D@@ @DD@@ @DD@@ @DD@@ @DD@@dDZsD@@DZrD@@DZLD@@DZffD@@DZfrD@@DmfD@@D mrD@@DD@@dDNullSrcD@@pDD@@0DD@@0ADD@@0ADD @@@DD!@@D0D"@@D0D#@@D0D$@@DD%@@dD$IgenD&@@D$D'@@@D&D(@@dD'ZsD)@@KD'D*@@D)1D+@@D&EsD,@@DD-@@dD,IgenD.@@D,D/@@dD.stackD0@@pD.D1@@ D0D2@@dD1IgenD3@@D1NullSrcD4@@DD5@@dD4IgenD6@@D4D7@@dD6stackD8@@pD6D9@@ D8D:@@dD9IgenD;@@D9NullSrcD<@@DD=@@dD<IgenD>@@DstackD@@@pD>DA@@ D@DB@@dDAIgenDC@@pDADD@@DCDE@@@DDDF@@dDEZrDG@@KDEDH@@DG1DI@@DDErDJ@@DDK@@dDJVDL@@DJDM@@dDLZDN@@DLIgenDO@@sDDP@@DOVDQ*@UC S P <A-7 1.4.3 Phase to symmetrical component conversion matrix77DR<7DS8DQ}97DT<7DU:1DV</7DW<7DX0@NormalArial DY*@U s | y\\-h = scale vactor79DZ<D[:1D\</D]<D^0@NormalArial D_*@UXs + X y$$-@Ia = 120 degree phase shift operator a2 = 240 degree phase shift operator7*&ID`<&Da8D_Db<Dc8D_@ ArialD`Dd<De8D_DbDf<Dg8D_DdDfDb9IDh@@DE?@@dE>IbE@@@E>IsEA@@DEB@@dEAIbEC@@EAED@@dECstackEE@@pECEF@@ EEEG@@dEFIbEH@@EFIrEI@@DEJ@@dEIIbEK@@EIEL@@dEKstackEM@@pEKEN@@ EMEO@@dENIbEP@@ENIfltEQ@@sDER@@EQIbES*@U,+(>A-& 1.4.4 Rectangular to polar conversion7&ET<&EU8ES}9&EV<&EW:1EX</&EY<&EZ0@NormalArial E[@B@UC<`P?E\@@ pE]@@ E\E^@@@E]E_@@dE^ rect2polarE`@@pE^Ea@@E`REb@@E]Ec@@@EbEd@@@EcEe@@@EdEf@@@EeEg@@@EfEh@@@EgEi@@dEhmEj@@{EhEk@@EjEl@@dEkREm@@EkiEn@@EgEo@@dEn\aEp@@EnEq@@@EpEr@@dEqargEs@@pEqEt@@EsEu@@dEtREv@@EtiEw@@EpEx@@tEw180Ey@@Ew\pEz@@EfE{@@dEzpE|@@pEzE}@@0E|E~@@0AE}E@@@E~E@@E~\aE@@E}mE@@IEeE@@@EE@@dEPolE@@EpE@@)EE@@dEiE@@E1E@@IEdE@@@EE@@dEPolE@@EE@@dEstackE@@pEE@@ EE@@dEPolE@@EpE@@(EE@@dEiE@@E0E@@EcE@@dEiE@@EE@@tE0E@@E2E@@sEbE@@EPolE*@U8KF8XD-@Rectangular to polar coordinate conversion Output: [V or I : Angle]1 Input: [V or I complex variables]2 Notes: 1.3X2 matrix of scalar values 2.[3X1] vector of complex variables7i+E<+E8EyE<E8EyEE<E8EyEE<E8E@ ArialEE<#E8EyEE<E8E@ ArialEE@B@UF?@@ pF@@@ F?FA@@dF@IbrFB@@F@FC@@dFBSolve_currentsFD@@pFBFE@@ FDFF@@ @FEFG@@dFF VprefaultFH@@FFZLFI@@FEmfFJ@B@U&D FK@@ pFL@@ FKFM@@dFL ISprefaultFN@@FLFO@@dFN submatrixFP@@pFNFQ@@ FPFR@@ @FQFS@@ @FRFT@@ @FSFU@@dFTIbrFV@@FT0FW@@FS2FX@@FR0FY@@FQ0FZ@B@U D(F[@@ pF\@@F[F]@@@F\F^@@dF] rect2polarF_@@pF]F`@@F_ ISprefaultFa@@F\Fb@@+@Fa@XFc@@FaFd@B@U+>F8Fe@@ pFf@@ FeFg@@dFf IRprefaultFh@@FfFi@@dFh submatrixFj@@pFhFk@@ FjFl@@ @FkFm@@ @FlFn@@ @FmFo@@dFnIbrFp@@Fn3Fq@@Fm5Fr@@Fl0Fs@@Fk0Ft@B@UCVTPFu@@ pFv@@ FuFw@@dFv IFLTprefaultFx@@FvFy@@dFx submatrixFz@@pFxF{@@ FzF|@@ @F{F}@@ @F|F~@@ @F}F@@dF~IbrF@@F~6F@@F}8F@@F|0F@@F{0F@B@U(e!F@@ pF@@FF@@@FF@@dF rect2polarF@@pFF@@F IRprefaultF@@FF@@+@F@XF@@FF@B@U3F@@ pF@@FF@@@FF@@dF rect2polarF@@pFF@@F IFLTprefaultF@@FF@@+@F@XF@@FF*@Uc#spA-,1.6 Calculate prefault voltages and currents7,F<,F8F}9,F<,F:1F</,F<,F0@NormalArial F*@U{A))p)p-BThe second calculation is for an faulted system. The locations of the forward is establisted by setting the value of mf as a decimal fraction of the total line length. If mf equalt 0.25, then the fault is located 0.25 * the line length from Relay S toward Relay R. Line impedance is added to the source impedance by adjusting the value of mr shown as ZLs in Figure 1. The amount of impedance added is determined by Zls = mr*ZL where ZL is the system line impedance. This allows faults to be placed behind Relay S but still forward of relay R. Use small nonzero positive values (0.0001) for mr to add no additional impedance to the source impedance.79F<F:1F</F<F0@NormalArial F@B@UD'F@@ pF@@ FF@@dFmfF@@F0.1F*@Uppy{{-Forward fault location79F<F:1F</F<F0@NormalArial F@B@U+W>&8F@@ pF@@ FF@@dFmrF@@F0.0001F*@Up+;p8y{{-Reverse fault location79F<F:1F</F<F0@NormalArial F*@UK5X7--p-p-BjThe parameters associated with the forward and reverse fault matrix are illustrated in Figure 2. Use impedance values of 106 for open circuits. Phase to phase faults are generated by setting Zab, Zbc, and / or Zac to small values. Phase to ground faults are generated by setting Zaa, Zbb, and / or Zcc to small values. The minimum fault impedance should be limited to 0.0001. Fault impedances can be complex. Not specifying a fault impedance defaults to an open circuit fault matrix. Chaning the left hand variable fro Zff to Zfr moves the fault matrix to the Zf2 position making the fault matrix behind Relay S.7y|jF<|F8FF<F8F@ ArialFF<F8F@ ArialFF<F8F@ ArialFFF9jF    !"Root EntryF<Ole CompObjqOlePres000z FMicrosoft Visio DrawingVISIO 4.0 ShapesVisio.Drawing.69qOh+'08DP\htcKC;@cKC;@ b   -  "-$%% "--n"Arial-"System- . -!Zab- -  "-b$/"{/b?KS7h%  $ >V%l7Kb{ 9PldVv>$ hvSd?P/9" ---- . -!A- -  "-b$/!*{7bGK[7p%  , F ^ %t 7 K b {       9 Pt d^ vF ,  pv[dGP79* !---- . -!B- -  "-b$/!#)2{?bOKc7x% 4 Nf%|7Kb{ 9P|dfvN4xvcdOP?92 )#!---- . -!C- -  "-$ --  ---- . -!Zbc - -  "-$%u u %%u---- . -!Zac- -  "-$} } %%} ---- . -!Zaa- -  "-$%} } %%%%} ---- . -!Zbb- -  "-$-} } %-%-} ---- . -!Zcc&- -  "-%- -  "-%%- -  "-%  - -  "-%-!- -  "- %I%I- -  "- % II- -  "-%%- -  "-%%- -  "-%%- -  "-%}  - -  "-%}  - -  "-%}  - -  "- %   - -  "-%  - -  "-%,  - -  "-%wr X r - -  "-% 2 - - "-2$                       --VisioDocumentN)VisioInformation"SummaryInformation(Visio (TM) Drawing N)R(6d !fffMMM333<q0<T d Arial)-": -3Times New Roman5T?? 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All s reserved.r`Shape.hlp!#15000bKlU%a+ ### ,^*?+ 's N NWaE.],E!qO&[`(4/-=/ rrs \0`1/,V!?? ߊ'q 4% (F-]( 8W?/"?(OV/LH=8*OtMrA//tOW@t@<@ }p-F M #),W3 )̀ )HD S+)\۫S)H+E,D@@$ ,D@@% <@BT$t'zSI uD$C [x?R! eqDw@U@FT L*hGTۼID{@z@??I ?sJsIzIb^b:- !H!AnZs.b (! n   IenLsHJC" gD!+ L#C"C"C""D!* C"2O D!: C"B C"J rC"RD!ZC"wbC"jC"rg D!zC"C"D!C"C"]C"C"o D!C"K0010U0000U000z0Ur0j0b0Z0UR0J0B0:0U20*0"000 00In*M"$%I&g'+ (a )i *q +, -*2Aw a IK jy{@4@!?!EE?P 6F F0B?~FzA +  B A @1 }+ l3!UF_M._XYPDYP0YP + @(4._@LOqgnyB)F"M|0A O GPI"OVFUI aIt`g`,g`:g`a i+!o4'2KaگfzAB)m .ZabC :0h??UB?M E+v5w4OwPOkJ~p~OOO̴FSBr$ODOVCW4=vGwF?_)BThWuZcQ]_1Wbgy ayXt ftdc@ko}ooon AC :ހo n;N+=;OBdvu|Oj0CB BFB~sf@Rbv@fLۆDfTfS aTSH a`hoȧ˟ݟBC @8P,!oT"DVhzՎį֯{ BL `AX+=OsͿ}RLۏ#GkLLSX aXϤ 0CS:j|ߎ!OO*OaO sO+|KcO_M___q^1C/_S[___Vv{.oUdo"p4FXoZbcSd85Ң5.@ROO ///.1;_V/Sƀw///Z?/QDh@<3kc90P|3B?T?f?)Sj!?? ??OYd0OBOTOfOdrrNrOOOO__ /.ZaN_Sm/w_;GtLGt_nNy@Ny_H_Ul81?o%o7oy?*baS[omo=oooOoo(DCbbYk}ů/.n#"S9K[[~bb\֏ 0B5b*S W osz۬П&42}^^Cbvmۯ/.76S M_oovvƿp꿀 2DVψ4c1 @Z>Нȋ𗓈&He!u `u `bu `u  " @ MX_u` oWuv Vb5  ]a0BTrp!Z` @z3@ $p2I  H$0}z<>q Cb!(?(ѯ>Ք)a' Ka-!2 aPup/N-b+ nH  .@Rdv 22( ' /AB AO@d1wBVwOv2C3O2CG3J1DaR@R/!/3/y/W/i/u_//±" //R/ ??0?B?T?f?x????? P r0??‚(h0N/or o@pBrVv rs s rws _qhBB+_=_O_a______" __ o(o:oLo^opoooooooo  :-?x"U 0N/ @0BӢVӯv:9:3C9.Bhp3pYk}Տŏѿ"%7(? dĀXŀ{Æ 0@GJ\<^ا˿ݼ܀ $-T1 ąASeIϝϯ .ߩVhzߌߞ߰D0T<_ hp7I"V!hz-DT!ß՟L^p840Im UuD9E8Y NKW/v ЖA"{/E#/0#'*\r*2 ~*2 !]IH#"4FXj|.0t"R//?s7K;!7KM'Asa._v$R{_%"RS!S_0"RcW+S!j?*QrXb`~XbA?S?e?w????o??;? OOI 3R??OQOcOuOOOOOOOO_/(p=P1_C_'#e{;!e{M's$ʦPR鏺%PO0PI)YODoXrI~ooooooooo;);M|,]~~u~~ 2;VJ~_q}evesR"ӠŐd+Ὼ!euҵ"~1}"2πF~]=LJchşן "4=Wi{1Lү,>Pb\А@U\7FҼd+7E["8FcCiϵ3EQ]o߁ߴ 2DVhtb',-&Ҽ d+?%%a">/Fi#I'o*"%/9KQcuM|2Kҵ$)uu&7P:66G15GG3%J\nth0%ToB{%///??84=`=A_;4?F?V9%pi?{?M|A?B}vD$6H?OQOxPSbO6f ٰO$ vbOsc/PFb{s[wcz޳F/OO@O8_ V_h_F___\ ut^X;o!o3oEoWoio{oooyXoo b7Cv'А=WՀO"f!E%K @$6LYPk}\cU^ҏ,>Pbx"J$ ffܚ h/xóLqJIO"f!JSn@ȯpwR #(5G\[¡UXrҿ,~ЍYki 0c2z 2/yŅLqO"f!8J\nߴ@:XX=%]D!5o2?)y^#hq}yPB "< ې ' -8T9 Y0T(@1.[/Nq1//'/; ,  h@ D@$%&'()*+,-0#4@B:$9>{@$?RQdPage-1Black fill}White uRed Greeun -Cya@Yellow GMnta3ay(10% x line3 Long dash1"darI9e. X5 7 9 1pxlm9mHairqShort Arial ckeredtop leftT/imesConnector 8ptBox!Coircl!J.E".3M'4X!< S.5i 6m$7m$8m$9IQ#2733 U | s Ug Y N F U0 !   w3 3 U U x h X UG 4 $  U ә U Ur d U G U< -  ?.-{1CUgy$()*+,%&'" -01C_  !- %    #  t#Dv@@  !"! ` hl 2@B;u's<D g (5m@(n84$s  RL8TW@{}N&B!< 5D@ wl<O$P 'w,h$9@,O)/`<l2FL W&?w' <(`C*4!F*@Uf/yA- Figure 2. Fault matrix diagram.7 9 F< F:1F</ F< F0@NormalArial F@B@UW&3 F@@ pF@@ FF@@dFZaaF@@F0.01F@B@Uh & F@@ pF@@ FF@@dFZbbF@@FF@@tF10F@@F6F@B@U & 2F@@ pF@@ FF@@dFZccF@@FF@@tF10F@@F6F@B@U T&4 3F@@ pF@@ FF@@dFZabF@@FF@@tF10F@@F6F@B@Uh & 4F@@ pF@@ FF@@dFZbcF@@FF@@tF10F@@F6F@B@U & F@@ pF@@ FF@@dFZacF@@FF@@tF10F@@F6F@B@U)$)`6F@@ pF@@ FF@@dFZffF@@FF@@p@FF@@0FG@@0AFG@@0AGG@@0AGG@@0AGG@@0AGG@@0AGG@@0AGG@@0AGG@@@GG @@pGG @@G G @@@G G @@@G G @@dG ZccG@@KG G@@G1G@@G G@@dGZacG@@KGG@@G1G@@G G@@dGZbcG@@KGG@@G1G@@KGG@@GG@@dGZbcG@@KGG@@G1G@@KGG@@GG@@dGZacG @@KGG!@@G 1G"@@KGG#@@G"G$@@dG#ZbcG%@@KG#G&@@G%1G'@@pGG(@@G'G)@@@G(G*@@@G)G+@@dG*ZbbG,@@KG*G-@@G,1G.@@G)G/@@dG.ZabG0@@KG.G1@@G01G2@@G(G3@@dG2ZbcG4@@KG2G5@@G41G6@@KGG7@@G6G8@@dG7ZabG9@@KG7G:@@G91G;@@KGG<@@G;G=@@dG<ZacG>@@KG<G?@@G>1G@@@KGGA@@G@GB@@dGAZabGC@@KGAGD@@GC1GE@@pFGF@@GEGG@@@GFGH@@@GGGI@@dGHZaaGJ@@KGHGK@@GJ1GL@@GGGM@@dGLZabGN@@KGLGO@@GN1GP@@GFGQ@@dGPZacGR@@KGPGS@@GR1GT@@KFGU@@GT1GV*@UA-@A 1.6.1 Compute relay voltages and currents for the faulted system7AGW<GX8GV}GY<:GZ8GV}GWGYGW9AG[@@ @H=H?@@dH>IbrH@@@H>6HA@@H=8HB@@H<0HC@@H;0HD@B@UH# : HE@@ pHF@@HEHG@@@HFHH@@dHG rect2polarHI@@pHGHJ@@HIIRabcHK@@HFHL@@+@HK@XHM@@HKHN@B@UHdlH; HO@@ pHP@@HOHQ@@@HPHR@@dHQ rect2polarHS@@pHQHT@@HSIFLTabcHU@@HPHV@@+@HU@XHW@@HUHX*@UsM3EE E -@S 1.6.3 Set maximum torque angle to the argumant of the positive sequence impedance 7RSHY<HZ8HX}H[H@@ pH@@ HH@@dHVRbcH@@HH@@@HH@@dHVRabcH@@H1H@@HH@@dHVRabcH@@H2H@B@U;UH?H@@ pH@@ HH@@dHVRcaH@@HH@@@HH@@dHVRabcH@@H2H@@HH@@dHVRabcH@@H0H*@Uk{xA-- 1.6.4.1 Compute torque values Relay S and R7 -H< H8H}H<#H8H}HHH9-H<-H:1H</-H<-H0@NormalArial H*@UPks{Px###- mf=0.997 9 H< H:1H</ H< H0@NormalArial H*@Uk{xH%%%- mr=0.057 9 H< H:1H</ H< H0@NormalArial H@B@U0MXH@@ pH@@ HH@@dHTSaH@@HH@@@HH@@{@HH@@HVSbcH@@{HH@@HH@@dHISabcH@@H0H@@HH@@dHcosH@@pHH@@HH@@@HH@@dHargH@@pHH@@5HH@@dHVSbcH@@H1iH@@pHH@@HH@@@HH@@dHargH@@pHH@@HH@@dHISabcH@@H0H@@HMTAH@B@U YH@@ pH@@HH@@dHTSaH@@HH@@+@H@XH@@HH*@UPuPI%%-AG Z279H<I:1I</I<I0@NormalArial I*@UI%%-BG Z279I<I:1I</I<I 0@NormalArial I *@UI%%-CG Z279I <I :1I </I<I0@NormalArial I*@UI$$-AB Z279I<I:1I</I<I0@NormalArial I*@U D I$$-BC Z279I<I:1I</I<I0@NormalArial I*@UPtP6I$$-CA Z279I<I:1I</I <I!0@NormalArial I"*@UI%%-AG Z379I#<I$:1I%</I&<I'0@NormalArial I(*@UJI%%-BG Z379I)<I*:1I+</I,<I-0@NormalArial I.*@URI%%-CG Z379I/<I0:1I1</I2<I30@NormalArial I4*@U D I$$-AB Z379I5<I6:1I7</I8<I90@NormalArial I:*@UPtPI$$-BC Z379I;<I<:1I=</I><I?0@NormalArial I@*@U@I$$-CA Z379IA<IB:1IC</ID<IE0@NormalArial IF@B@U0NZIG@@ pIH@@ IGII@@dIHTSbIJ@@IHIK@@@IJIL@@{@IKIM@@ILVScaIN@@{IKIO@@INIP@@dIOISabcIQ@@IO1IR@@IJIS@@dIRcosIT@@pIRIU@@ITIV@@@IUIW@@dIVargIX@@pIVIY@@5IXIZ@@dIYVScaI[@@IY1iI\@@pIUI]@@I\I^@@@I]I_@@dI^argI`@@pI^Ia@@I`Ib@@dIaISabcIc@@Ia1Id@@I]MTAIe@B@U[If@@ pIg@@IfIh@@dIgTSbIi@@IgIj@@+@Ii@XIk@@IiIl*@UPuPI%%-AG Z279Im<In:1Io</Ip<Iq0@NormalArial Ir*@UI%%-BG Z279Is<It:1Iu</Iv<Iw0@NormalArial Ix*@UI%%-CG Z279Iy<Iz:1I{</I|<I}0@NormalArial I~*@UI$$-AB Z279I<I:1I</I<I0@NormalArial I*@U D I$$-BC Z279I<I:1I</I<I0@NormalArial I*@UPtP8I$$-CA Z279I<I:1I</I<I0@NormalArial I*@U@I%%-AG Z379I<I:1I</I<I0@NormalArial I*@UI%%-BG Z379I<I:1I</I<I0@NormalArial I*@UUI%%-CG Z379I<I:1I</I<I0@NormalArial I*@U D I$$-AB Z379I<I:1I</I<I0@NormalArial I*@UPtP@I$$-BC Z379I<I:1I</I<I0@NormalArial I*@UI$$-CA Z379I<I:1I</I<I0@NormalArial I@B@U0M\I@@ pI@@ II@@dITScI@@II@@@II@@{@II@@IVSabI@@{II@@II@@dIISabcI@@I2I@@II@@dIcosI@@pII@@II@@@II@@dIargI@@pII@@5II@@dIVSabI@@I1iI@@pII@@II@@@II@@dIargI@@pII@@II@@dIISabcI@@I2I@@IMTAI@B@U]I@@ pI@@II@@dITScI@@II@@+@I@XI@@II*@UPuPI%%-AG Z279I<I:1I</I<I0@NormalArial I*@UI%%-BG Z279I<I:1I</I<I0@NormalArial I*@UI%%-CG Z279I<I:1I</I<I0@NormalArial I*@UI$$-AB Z279I<I:1I</I<I0@NormalArial I*@U D  I$$-BC Z279I<I:1I</I<I0@NormalArial I*@UPtP2I$$-CA Z279I<I:1I</I<I0@NormalArial I*@UCI%%-AG Z379I<J:1J</J<J0@NormalArial J*@ULI%%-BG Z379J<J:1J</J<J 0@NormalArial J *@U I%%-CG Z379J <J :1J </J<J0@NormalArial J*@U D  I$$-AB Z379J<J:1J</J<J0@NormalArial J*@UPtP @I$$-BC Z379J<J:1J</J<J0@NormalArial J*@U@I$$-CA Z379J<J:1J</J <J!0@NormalArial J"@B@U0N^J#@@ pJ$@@ J#J%@@dJ$TRaJ&@@J$J'@@@J&J(@@{@J'J)@@J(VRbcJ*@@{J'J+@@J*J,@@dJ+IRabcJ-@@J+0J.@@J&J/@@dJ.cosJ0@@pJ.J1@@J0J2@@@J1J3@@dJ2argJ4@@pJ2J5@@5J4J6@@dJ5VRbcJ7@@J51iJ8@@pJ1J9@@J8J:@@@J9J;@@dJ:argJ<@@pJ:J=@@J@@dJ=IRabcJ?@@J=0J@@@J9MTAJA@B@U_JB@@ pJC@@JBJD@@dJCTRaJE@@JCJF@@+@JE@XJG@@JEJH*@UPu PI%%-AG Z179JI<JJ:1JK</JL<JM0@NormalArial JN*@U ﭭI%%-BG Z179JO<JP:1JQ</JR<JS0@NormalArial JT*@U ﭭI%%-CG Z179JU<JV:1JW</JX<JY0@NormalArial JZ*@U I$$-AB Z179J[<J\:1J]</J^<J_0@NormalArial J`*@U D  I$$-BC Z179Ja<Jb:1Jc</Jd<Je0@NormalArial Jf*@UPt P<I$$-CA Z179Jg<Jh:1Ji</Jj<Jk0@NormalArial Jl*@U I%%-AG Z279Jm<Jn:1Jo</Jp<Jq0@NormalArial Jr*@U NI%%-BG Z279Js<Jt:1Ju</Jv<Jw0@NormalArial Jx*@U WI%%-CG Z279Jy<Jz:1J{</J|<J}0@NormalArial J~*@U D  @I$$-AB Z279J<J:1J</J<J0@NormalArial J*@UPt PI$$-BC Z279J<J:1J</J<J0@NormalArial J*@U I$$-CA Z279J<J:1J</J<J0@NormalArial J@B@U05O(`J@@ pJ@@ JJ@@dJTRbJ@@JJ@@@JJ@@{@JJ@@JVRcaJ@@{JJ@@JJ@@dJIRabcJ@@J1J@@JJ@@dJcosJ@@pJJ@@JJ@@@JJ@@dJargJ@@pJJ@@5JJ@@dJVRcaJ@@J1iJ@@pJJ@@JJ@@@JJ@@dJargJ@@pJJ@@JJ@@dJIRabcJ@@J1J@@JMTAJ@B@U.(aJ@@ pJ@@JJ@@dJTRbJ@@JJ@@+@J@XJ@@JJ*@UPu+P(ﭭI%%-AG Z179J<J:1J</J<J0@NormalArial J*@U+(I%%-BG Z179J<J:1J</J<J0@NormalArial J*@U+(ﭭI%%-CG Z179J<J:1J</J<J0@NormalArial J*@U+(I$$-AB Z179J<J:1J</J<J0@NormalArial J*@U D+ (I$$-BC Z179J<J:1J</J<J0@NormalArial J*@UPt+P(=I$$-CA Z279J<J:1J</J<J0@NormalArial J*@U+(EI%%-AG Z279J<J:1J</J<J0@NormalArial J*@U+(I%%-BG Z279J<J:1J</J<J0@NormalArial J*@U+(YI%%-CG Z279J<J:1J</J<J0@NormalArial J*@U D+ ( @I$$-AB Z279J<J:1J</J<J0@NormalArial J*@UPt+P(!@I$$-BC Z279J<J:1J</J<J0@NormalArial J*@U+("I$$-CA Z279J<J:1J</J<J0@NormalArial J@B@U0;UNHbJ@@ pK@@ JK@@dKTRcK@@KK@@@KK@@{@KK@@KVRabK@@{KK@@KK@@dKIRabcK @@K2K @@KK @@dK cosK @@pK K @@K K@@@K K@@dKargK@@pKK@@5KK@@dKVRabK@@K1iK@@pK K@@KK@@@KK@@dKargK@@pKK@@KK@@dKIRabcK@@K2K@@KMTAK@B@U; NHcK@@ pK@@KK @@dKTRcK!@@KK"@@+@K!@XK#@@K!K$*@UP;uKPH#ﭭI%%-AG Z179K%<K&:1K'</K(<K)0@NormalArial K**@U;KH$ﭭI%%-BG Z179K+<K,:1K-</K.<K/0@NormalArial K0*@U;KH%I%%-CG Z179K1<K2:1K3</K4<K50@NormalArial K6*@U;KH&I$$-AB Z179K7<K8:1K9</K:<K;0@NormalArial K<*@U ;DK H'I$$-BC Z179K=<K>:1K?</K@<KA0@NormalArial KB*@UP;tKPH>I$$-CA Z179KC<KD:1KE</KF<KG0@NormalArial KH*@U;KHGI%%-AG Z279KI<KJ:1KK</KL<KM0@NormalArial KN*@U;KHPI%%-BG Z279KO<KP:1KQ</KR<KS0@NormalArial KT*@U;KH)I%%-CG Z279KU<KV:1KW</KX<KY0@NormalArial KZ*@U ;DK H*I$$-AB Z279K[<K\:1K]</K^<K_0@NormalArial K`*@UP;tKPH+@I$$-BC Z279Ka<Kb:1Kc</Kd<Ke0@NormalArial Kf*@U;KH,@I$$-CA Z279Kg<Kh:1Ki</Kj<Kk0@NormalArial Kl*@Us/d'''-@I 1.6.5 Compute symmetrical component polarizing torque directional values7IKm<Kn8Kl}Ko3 .. . -@M 1.6.5.2 Compute zero sequence current polarized torque values Relay S and R7 MK< K8K}K*@U0T0pI$$-AB Z379L?<L@:1LA</LB<LC0@NormalArial LD*@U``qI$$-BC Z379LE<LF:1LG</LH<LI0@NormalArial LJ*@UI$$-CA Z379LK<LL:1LM</LN<LO0@NormalArial LP@B@U ILQ@@ pLR@@ LQLS@@dLRTI0SbLT@@LRLU@@@LTLV@@{@LULW@@LVLX@@dLWIS012LY@@LW0LZ@@{LUL[@@LZL\@@dL[ISabcL]@@L[1L^@@LTL_@@dL^cosL`@@pL^La@@L`Lb@@@LaLc@@dLbargLd@@pLbLe@@LdLf@@dLeIS012Lg@@Le0Lh@@pLaLi@@LhLj@@@LiLk@@dLjargLl@@pLjLm@@LlLn@@dLmISabcLo@@Lm1Lp@@Li0Lq@B@ULr@@ pLs@@LrLt@@dLsTI0SbLu@@LsLv@@+@Lu@XLw@@LuLx*@U``ﭭI%%-AG Z279Ly<Lz:1L{</L|<L}0@NormalArial L~*@U?I%%-BG Z279L<L:1L</L<L0@NormalArial L*@UKﭭI%%-CG Z279L<L:1L</L<L0@NormalArial L*@U$I$$-AB Z379L<L:1L</L<L0@NormalArial L*@U0T0I$$-BC Z379L<L:1L</L<L0@NormalArial L*@U``I$$-CA Z379L<L:1L</L<L0@NormalArial L*@UrI%%-BG Z379L<L:1L</L<L0@NormalArial L*@U0T0sI$$-AB Z379L<L:1L</L<L0@NormalArial L*@U``tI$$-BC Z379L<L:1L</L<L0@NormalArial L*@UI$$-CA Z379L<L:1L</L<L0@NormalArial L@B@U HL@@ pL@@ LL@@dLTI0ScL@@LL@@@LL@@{@LL@@LL@@dLIS012L@@L0L@@{LL@@LL@@dLISabcL@@L2L@@LL@@dLcosL@@pLL@@LL@@@LL@@dLargL@@pLL@@LL@@dLIS012L@@L0L@@pLL@@LL@@@LL@@dLargL@@pLL@@LL@@dLISabcL@@L2L@@L0L@B@UL@@ pL@@LL@@dLTI0ScL@@LL@@+@L@XL@@LL*@U``ﭭI%%-AG Z279L<L:1L</L<L0@NormalArial L*@U.ﭭI%%-BG Z279L<L:1L</L<L0@NormalArial L*@UI%%-CG Z279L<L:1L</L<L0@NormalArial L*@U$$I$$-AB Z379L<L:1L</L<L0@NormalArial L*@U0T0%I$$-BC Z379L<L:1L</L<L0@NormalArial L*@U``&I$$-CA Z379L<L:1L</L<L0@NormalArial M*@U'I%%-CG Z379M<M:1M</M<M0@NormalArial M*@U0T0(I$$-AB Z379M<M:1M </M <M 0@NormalArial M *@U``)I$$-BC Z379M <M:1M</M<M0@NormalArial M*@U*I$$-CA Z379M<M:1M</M<M0@NormalArial M@B@U IM@@ pM@@ MM@@dMTI0RaM@@MM@@@MM@@{@MM@@MM @@dMIR012M!@@M0M"@@{MM#@@M"M$@@dM#IRabcM%@@M#0M&@@MM'@@dM&cosM(@@pM&M)@@M(M*@@@M)M+@@dM*argM,@@pM*M-@@M,M.@@dM-IR012M/@@M-0M0@@pM)M1@@M0M2@@@M1M3@@dM2argM4@@pM2M5@@M4M6@@dM5IRabcM7@@M50M8@@M10M9@B@UM:@@ pM;@@M:M<@@dM;TI0RaM=@@M;M>@@+@M=@XM?@@M=M@*@U``BI%%-AG Z179MA<MB:1MC</MD<ME0@NormalArial MF*@U6I%%-BG Z179MG<MH:1MI</MJ<MK0@NormalArial ML*@UPI%%-CG Z179MM<MN:1MO</MP<MQ0@NormalArial MR*@U$_I$$-AB Z279MS<MT:1MU</MV<MW0@NormalArial MX*@U0T0I$$-BC Z279MY<MZ:1M[</M\<M]0@NormalArial M^*@U``I$$-CA Z279M_<M`:1Ma</Mb<Mc0@NormalArial Md*@UxI%%-AG Z279Me<Mf:1Mg</Mh<Mi0@NormalArial Mj*@U0T0yI$$-AB Z279Mk<Ml:1Mm</Mn<Mo0@NormalArial Mp*@U``zI$$-BC Z279Mq<Mr:1Ms</Mt<Mu0@NormalArial Mv*@UI$$-CA Z279Mw<Mx:1My</Mz<M{0@NormalArial M|@B@U #=J0M}@@ pM~@@ M}M@@dM~TI0RbM@@M~M@@@MM@@{@MM@@MM@@dMIR012M@@M0M@@{MM@@MM@@dMIRabcM@@M1M@@MM@@dMcosM@@pMM@@MM@@@MM@@dMargM@@pMM@@MM@@dMIR012M@@M0M@@pMM@@MM@@@MM@@dMargM@@pMM@@MM@@dMIRabcM@@M1M@@M0M@B@U#!60M@@ pM@@MM@@dMTI0RbM@@MM@@+@M@XM@@MM*@U`#3`0I%%-AG Z179M<M:1M</M<M0@NormalArial M*@U#30@I%%-BG Z179M<M:1M</M<M0@NormalArial M*@U#30QI%%-CG Z179M<M:1M</M<M0@NormalArial M*@U#$30`I$$-AB Z279M<M:1M</M<M0@NormalArial M*@U0#T300I$$-BC Z279M<M:1M</M<M0@NormalArial M*@U`#3`0I$$-CA Z279M<M:1M</M<M0@NormalArial M*@U#30{I%%-BG Z279M<M:1M</M<M0@NormalArial M*@U0#T300|I$$-AB Z279M<M:1M</M<M0@NormalArial M*@U`#3`0}I$$-BC Z279M<M:1M</M<M0@NormalArial M*@U#30 I$$-CA Z279M<M:1M</M<M0@NormalArial M@B@U C]IPM@@ pM@@ MM@@dMTI0RcM@@MM@@@MM@@{@MM@@MM@@dMIR012M@@M0M@@{MM@@MM@@dMIRabcM@@M2M@@MM@@dMcosM@@pMM@@MM@@@MM@@dMargM@@pMM@@MM@@dMIR012M@@M0M@@pMM@@MM@@@MM@@dMargM@@pMM@@MM@@dMIRabcM@@M2N@@M0N@B@UC VPN@@ pN@@NN@@dNTI0RcN@@NN@@+@N@XN@@NN*@U`CS`PI%%-AG Z179N <N :1N </N <N 0@NormalArial N*@UCSP4I%%-BG Z179N<N:1N</N<N0@NormalArial N*@UCSPI%%-CG Z179N<N:1N</N<N0@NormalArial N*@UC$SPaI$$-AB Z279N<N:1N</N<N0@NormalArial N *@U0CTS0PI$$-BC Z279N!<N":1N#</N$<N%0@NormalArial N&*@U`CS`PI$$-CA Z279N'<N(:1N)</N*<N+0@NormalArial N,*@UCSP~I%%-CG Z279N-<N.:1N/</N0<N10@NormalArial N2*@U0CTS0PI$$-AB Z279N3<N4:1N5</N6<N70@NormalArial N8*@U`CS`PI$$-BC Z279N9<N::1N;</N<<N=0@NormalArial N>*@UCSP!I$$-CA Z279N?<N@:1NA</NB<NC0@NormalArial ND*@Us6.. . -@M 1.6.5.3 Compute zero sequence voltage polarized torque values Relay S and R7 MNE< NF8ND}NG*@U0T+0(I$$-AB Z379O?<O@:1OA</OB<OC0@NormalArial OD*@U`+`(I$$-BC Z379OE<OF:1OG</OH<OI0@NormalArial OJ*@U+(I$$-CA Z379OK<OL:1OM</ON<OO0@NormalArial OP@B@U;U5H5OQ@@ pOR@@ OQOS@@dORTV0ScOT@@OROU@@@OTOV@@K@OUOW@@{OVOX@@OWOY@@dOXVS012OZ@@OX0O[@@{OUO\@@O[O]@@dO\ISabcO^@@O\2O_@@OTO`@@dO_cosOa@@pO_Ob@@OaOc@@@ObOd@@dOcargOe@@pOcOf@@OeOg@@dOfVS012Oh@@Of0Oi@@pObOj@@OiOk@@@OjOl@@dOkargOm@@pOkOn@@OmOo@@dOnISabcOp@@On2Oq@@Oj0Or@B@U;%NH6Os@@ pOt@@OsOu@@dOtTV0ScOv@@OtOw@@+@Ov@XOx@@OvOy*@UX;}KXHmﭭI%%-AG Z279Oz<O{:1O|</O}<O~0@NormalArial O*@U;KH:樂I%%-BG Z279O<O:1O</O<O0@NormalArial O*@U;KHI%%-CG Z279O<O:1O</O<O0@NormalArial O*@U;KHXI$$-AB Z279O<O:1O</O<O0@NormalArial O*@U(;LK(HI$$-BC Z279O<O:1O</O<O0@NormalArial O*@UX;|KXHI$$-CA Z379O<O:1O</O<O0@NormalArial O*@U;KH樂I%%-AG Z379O<O:1O</O<O0@NormalArial O*@U;KHx樂I%%-BG Z379O<O:1O</O<O0@NormalArial O*@U;%KH@I%%-CG Z379O<O:1O</O<O0@NormalArial O*@U0;TK0HI$$-AB Z379O<O:1O</O<O0@NormalArial O*@U`;K`HI$$-BC Z379O<O:1O</O<O0@NormalArial O*@U;KHI$$-CA Z379O<O:1O</O<O0@NormalArial O@B@Us6%O@@ pO@@ OO@@dOTV0RaO@@OO@@@OO@@K@OO@@{OO@@OO@@dOVR012O@@O0O@@{OO@@OO@@dOIRabcO@@O0O@@OO@@dOcosO@@pOO@@OO@@@OO@@dOargO@@pOO@@OO@@dOVR012O@@O0O@@pOO@@OO@@@OO@@dOargO@@pOO@@OO@@dOIRabcO@@O0O@@O0O@B@Us&}O@@ pO@@OO@@dOTV0RaO@@OO@@+@O@XO@@OO*@UXs}X I%%-AG Z179O<O:1O</O<O0@NormalArial O*@Us<I%%-BG Z179O<O:1O</O<O0@NormalArial O*@UshI%%-CG Z179O<O:1O</O<O0@NormalArial O*@Us\I$$-AB Z179O<O:1O</P<P0@NormalArial P*@U(sL(I$$-BC Z179P<P:1P</P<P0@NormalArial P*@UXs|XI$$-CA Z279P <P :1P </P <P 0@NormalArial P*@UsI%%-AG Z279P<P:1P</P<P0@NormalArial P*@Usq樂I%%-BG Z279P<P:1P</P<P0@NormalArial P*@Us%~樂I%%-CG Z279P<P:1P</P<P0@NormalArial P *@U0sT0I$$-AB Z279P!<P":1P#</P$<P%0@NormalArial P&*@U`s` I$$-BC Z279P'<P(:1P)</P*<P+0@NormalArial P,*@UsI$$-CA Z279P-<P.:1P/</P0<P10@NormalArial P2@B@U7'P3@@ pP4@@ P3P5@@dP4TV0RbP6@@P4P7@@@P6P8@@K@P7P9@@{P8P:@@P9P;@@dP:VR012P<@@P:0P=@@{P7P>@@P=P?@@dP>IRabcP@@@P>1PA@@P6PB@@dPAcosPC@@pPAPD@@PCPE@@@PDPF@@dPEargPG@@pPEPH@@PGPI@@dPHVR012PJ@@PH0PK@@pPDPL@@PKPM@@@PLPN@@dPMargPO@@pPMPP@@POPQ@@dPPIRabcPR@@PP1PS@@PL0PT@B@U.~PU@@ pPV@@PUPW@@dPVTV0RbPX@@PVPY@@+@PX@XPZ@@PXP[*@UX}XjI%%-AG Z179P\<P]:1P^</P_<P`0@NormalArial Pa*@U@I%%-BG Z179Pb<Pc:1Pd</Pe<Pf0@NormalArial Pg*@UZI%%-CG Z179Ph<Pi:1Pj</Pk<Pl0@NormalArial Pm*@U]I$$-AB Z179Pn<Po:1Pp</Pq<Pr0@NormalArial Ps*@U(L(I$$-BC Z179Pt<Pu:1Pv</Pw<Px0@NormalArial Py*@UX|XI$$-CA Z279Pz<P{:1P|</P}<P~0@NormalArial P*@U樂I%%-AG Z279P<P:1P</P<P0@NormalArial P*@U@I%%-BG Z279P<P:1P</P<P0@NormalArial P*@U%樂I%%-CG Z279P<P:1P</P<P0@NormalArial P*@U0T0I$$-AB Z279P<P:1P</P<P0@NormalArial P*@U``I$$-BC Z279P<P:1P</P<P0@NormalArial P*@UI$$-CA Z279P<P:1P</P<P0@NormalArial P@B@U6)P@@ pP@@ PP@@dPTV0RcP@@PP@@@PP@@K@PP@@{PP@@PP@@dPVR012P@@P0P@@{PP@@PP@@dPIRabcP@@P2P@@PP@@dPcosP@@pPP@@PP@@@PP@@dPargP@@pPP@@PP@@dPVR012P@@P0P@@pPP@@PP@@@PP@@dPargP@@pPP@@PP@@dPIRabcP@@P2P@@P0P@B@U-P@@ pP@@PP@@dPTV0RcP@@PP@@+@P@XP@@PP*@UX}XnI%%-AG Z179P<P:1P</P<P0@NormalArial P*@U>I%%-BG Z179P<P:1P</P<P0@NormalArial P*@UfI%%-CG Z179P<P:1P</P<P0@NormalArial P*@U^I$$-AB Z179P<P:1P</P<P0@NormalArial P*@U(L(I$$-BC Z179P<P:1P</P<P0@NormalArial P*@UX|XI$$-CA Z279P<P:1P</P<P0@NormalArial P*@U樂I%%-AG Z279P<P:1P</P<P0@NormalArial P*@Us樂I%%-BG Z279P<P:1P</P<P0@NormalArial P*@U%@I%%-CG Z279P<P:1P</Q<Q0@NormalArial Q*@U0T0I$$-AB Z279Q<Q:1Q</Q<Q0@NormalArial Q*@U``I$$-BC Z279Q <Q :1Q </Q <Q 0@NormalArial Q*@UI$$-CA Z279Q<Q:1Q</Q<Q0@NormalArial Q*@US Qs ` 9II I -@Q 1.6.5.4 Compute negative sequence current polarized torque values Relay S and R7 QQ< Q8Q}Q@B@U x 8 :Q?@@ pQ@@@ Q?QA@@dQ@TI2SaQB@@Q@QC@@@QBQD@@{@QCQE@@QDQF@@dQEIS012QG@@QE2QH@@{QCQI@@QHQJ@@dQIISabcQK@@QI0QL@@QBQM@@dQLcosQN@@pQLQO@@QNQP@@@QOQQ@@dQPargQR@@pQPQS@@QRQT@@dQSIS012QU@@QS2QV@@pQOQW@@QVQX@@@QWQY@@dQXargQZ@@pQXQ[@@QZQ\@@dQ[ISabcQ]@@Q[0Q^@@QW0Q_@B@U   ;Q`@@ pQa@@Q`Qb@@dQaTI2SaQc@@QaQd@@+@Qc@XQe@@QcQf*@UX } X )I%%-AG Z279Qg<Qh:1Qi</Qj<Qk0@NormalArial Ql*@U   I%%-BG Z279Qm<Qn:1Qo</Qp<Qq0@NormalArial Qr*@U   I%%-CG Z279Qs<Qt:1Qu</Qv<Qw0@NormalArial Qx*@U $  iI$$-AB Z279Qy<Qz:1Q{</Q|<Q}0@NormalArial Q~*@U0 T 0 I$$-BC Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U`  ` @I$$-CA Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U   I%%-AG Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U   I%%-BG Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U -  I%%-CG Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U@ d @ I$$-AB Z379Q<Q:1Q</Q<Q0@NormalArial Q*@Up  p I$$-BC Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U   I$$-CA Z379Q<Q:1Q</Q<Q0@NormalArial Q@B@U !9!<Q@@ pQ@@ QQ@@dQTI2SbQ@@QQ@@@QQ@@{@QQ@@QQ@@dQIS012Q@@Q2Q@@{QQ@@QQ@@dQISabcQ@@Q1Q@@QQ@@dQcosQ@@pQQ@@QQ@@@QQ@@dQargQ@@pQQ@@QQ@@dQIS012Q@@Q2Q@@pQQ@@QQ@@@QQ@@dQargQ@@pQQ@@QQ@@@QQ@@dQaQ@@Q2Q@@QQ@@dQISabcQ@@Q1Q@@Q0Q@B@U!!!=Q@@ pQ@@QQ@@dQTI2SbQ@@QQ@@+@Q@XQ@@QQ*@UX!}!X!I%%-AG Z279Q<Q:1Q</Q<Q0@NormalArial Q*@U!!!@I%%-BG Z279Q<Q:1Q</Q<Q0@NormalArial Q*@U!!!I%%-CG Z279Q<Q:1Q</Q<Q0@NormalArial Q*@U!$!!jI$$-AB Z279Q<Q:1Q</Q<Q0@NormalArial Q*@U0!T!0!@I$$-BC Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U`!!`!I$$-CA Z379Q<Q:1Q</Q<Q0@NormalArial Q*@U!!!I%%-AG Z379Q<R:1R</R<R0@NormalArial R*@U!!!I%%-BG Z379R<R:1R</R<R 0@NormalArial R *@U!-!!I%%-CG Z379R <R :1R </R<R0@NormalArial R*@U@!d!@!I$$-AB Z379R<R:1R</R<R0@NormalArial R*@Up!!p!I$$-BC Z379R<R:1R</R<R0@NormalArial R*@U!!!I$$-CA Z379R<R:1R</R <R!0@NormalArial R"@B@U#!=!80!>R#@@ pR$@@ R#R%@@dR$TI2ScR&@@R$R'@@@R&R(@@{@R'R)@@R(R*@@dR)IS012R+@@R)2R,@@{R'R-@@R,R.@@dR-ISabcR/@@R-2R0@@R&R1@@dR0cosR2@@pR0R3@@R2R4@@@R3R5@@dR4argR6@@pR4R7@@R6R8@@dR7IS012R9@@R72R:@@pR3R;@@R:R<@@@R;R=@@dR<argR>@@pR<R?@@R>R@@@dR?aRA@@R?RB@@dRAISabcRC@@RA2RD@@R;0RE@B@U#!6!0!?RF@@ pRG@@RFRH@@dRGTI2ScRI@@RGRJ@@+@RI@XRK@@RIRL*@UX#!}3!X0!I%%-AG Z279RM<RN:1RO</RP<RQ0@NormalArial RR*@U#!3!0!@I%%-BG Z279RS<RT:1RU</RV<RW0@NormalArial RX*@U#!3!0!\@I%%-CG Z279RY<RZ:1R[</R\<R]0@NormalArial R^*@U#!$3!0!lI$$-AB Z279R_<R`:1Ra</Rb<Rc0@NormalArial Rd*@U0#!T3!00!@I$$-BC Z379Re<Rf:1Rg</Rh<Ri0@NormalArial Rj*@U`#!3!`0!@I$$-CA Z379Rk<Rl:1Rm</Rn<Ro0@NormalArial Rp*@U#!3!0!I%%-AG Z379Rq<Rr:1Rs</Rt<Ru0@NormalArial Rv*@U#!3!0!I%%-BG Z379Rw<Rx:1Ry</Rz<R{0@NormalArial R|*@U#!-3!0!I%%-CG Z379R}<R~:1R</R<R0@NormalArial R*@U@#!d3!@0!I$$-AB Z379R<R:1R</R<R0@NormalArial R*@Up#!3!p0!I$$-BC Z379R<R:1R</R<R0@NormalArial R*@U#!3!0!I$$-CA Z379R<R:1R</R<R0@NormalArial R@B@UK!he!9X!@R@@ pR@@ RR@@dRTI2RaR@@RR@@@RR@@{@RR@@RR@@dRIR012R@@R2R@@{RR@@RR@@dRIRabcR@@R0R@@RR@@dRcosR@@pRR@@RR@@@RR@@dRargR@@pRR@@RR@@dRIR012R@@R2R@@pRR@@RR@@dRargR@@pRR@@RR@@dRIRabcR@@R0R@B@UK! ^!X!AR@@ pR@@RR@@dRTI2RaR@@RR@@+@R@XR@@RR*@UXK!}[!XX!2I%%-AG Z179R<R:1R</R<R0@NormalArial R*@UK![!X!B樂I%%-BG Z179R<R:1R</R<R0@NormalArial R*@UK![!X!`ﭭI%%-CG Z179R<R:1R</R<R0@NormalArial R*@UK!$[!X!pI$$-AB Z179R<R:1R</R<R0@NormalArial R*@U0K!T[!0X!I$$-BC Z279R<R:1R</R<R0@NormalArial R*@U`K![!`X!@I$$-CA Z279R<R:1R</R<R0@NormalArial R*@UK![!X!I%%-AG Z279R<R:1R</R<R0@NormalArial R*@UK![!X!I%%-BG Z279R<R:1R</R<R0@NormalArial R*@UK!-[!X!I%%-CG Z279R<R:1R</R<R0@NormalArial R*@U@K!d[!@X!I$$-AB Z279R<R:1R</R<R0@NormalArial R*@UpK![!pX!I$$-BC Z279R<R:1R</R<R0@NormalArial R*@UK![!X!I$$-CA Z279R<R:1R</S<S0@NormalArial S@B@Uk!s!:x!BS@@ pS@@ SS@@dSTI2RbS@@SS@@@SS@@{@SS @@SS @@dS IR012S @@S 2S @@{SS @@S S@@dS IRabcS@@S 1S@@SS@@dScosS@@pSS@@SS@@@SS@@dSargS@@pSS@@SS@@dSIR012S@@S2S@@pSS@@SS@@dSargS@@pSS@@SS@@dSaS @@SS!@@dS IRabcS"@@S 1S#@B@Uk!~!x!CS$@@ pS%@@S$S&@@dS%TI2RbS'@@S%S(@@+@S'@XS)@@S'S**@UXk!}{!Xx! 㷰I%%-AG Z179S+<S,:1S-</S.<S/0@NormalArial S0*@Uk!{!x!G@I%%-BG Z179S1<S2:1S3</S4<S50@NormalArial S6*@Uk!{!x!aﭭI%%-CG Z179S7<S8:1S9</S:<S;0@NormalArial S<*@Uk!${!x!@I$$-AB Z179S=<S>:1S?</S@<SA0@NormalArial SB*@U0k!T{!0x!@I$$-BC Z279SC<SD:1SE</SF<SG0@NormalArial SH*@U`k!{!`x!I$$-CA Z279SI<SJ:1SK</SL<SM0@NormalArial SN*@Uk!{!x!I%%-AG Z279SO<SP:1SQ</SR<SS0@NormalArial ST*@Uk!{!x!I%%-BG Z279SU<SV:1SW</SX<SY0@NormalArial SZ*@Uk!-{!x!I%%-CG Z279S[<S\:1S]</S^<S_0@NormalArial S`*@U@k!d{!@x!I$$-AB Z279Sa<Sb:1Sc</Sd<Se0@NormalArial Sf*@Upk!{!px!I$$-BC Z279Sg<Sh:1Si</Sj<Sk0@NormalArial Sl*@Uk!{!x!I$$-CA Z279Sm<Sn:1So</Sp<Sq0@NormalArial Sr@B@U!!9!DSs@@ pSt@@ SsSu@@dStTI2RcSv@@StSw@@@SvSx@@{@SwSy@@SxSz@@dSyIR012S{@@Sy2S|@@{SwS}@@S|S~@@dS}IRabcS@@S}2S@@SvS@@dScosS@@pSS@@SS@@@SS@@dSargS@@pSS@@SS@@dSIR012S@@S2S@@pSS@@SS@@dSargS@@pSS@@SS@@@SS@@dSaS@@S2S@@SS@@dSIRabcS@@S2S@B@U!!!ES@@ pS@@SS@@dSTI2RcS@@SS@@+@S@XS@@SS*@UX!}!X! 㷰I%%-AG Z179S<S:1S</S<S0@NormalArial S*@U!!!E㷰I%%-BG Z179S<S:1S</S<S0@NormalArial S*@U!!!b@I%%-CG Z179S<S:1S</S<S0@NormalArial S*@U!$!!rI$$-AB Z179S<S:1S</S<S0@NormalArial S*@U0!T!0!@I$$-BC Z279S<S:1S</S<S0@NormalArial S*@U`!!`!@I$$-CA Z279S<S:1S</S<S0@NormalArial S*@U!!!I%%-AG Z279S<S:1S</S<S0@NormalArial S*@U!!!I%%-BG Z279S<S:1S</S<S0@NormalArial S*@U!-!!I%%-CG Z279S<S:1S</S<S0@NormalArial S*@U@!d!@!I$$-AB Z279S<S:1S</S<S0@NormalArial S*@Up!!p!I$$-BC Z279S<S:1S</S<S0@NormalArial S*@U!!!I$$-CA Z279S<S:1S</S<S0@NormalArial S*@U!Q!!TII I -@Q 1.6.5.4 Compute negative sequence voltage polarized torque values Relay S and R7 QS< S8S}S<T?:1T@</TA<TB0@NormalArial TC*@US"c"`"I%%-CG Z279TD<TE:1TF</TG<TH0@NormalArial TI*@US"c"`"pI$$-AB Z379TJ<TK:1TL</TM<TN0@NormalArial TO*@U(S"Lc"(`"I$$-BC Z379TP<TQ:1TR</TS<TT0@NormalArial TU*@UXS"|c"X`"I$$-CA Z379TV<TW:1TX</TY<TZ0@NormalArial T[*@US"c"`"'I%%-AG Z379T\<T]:1T^</T_<T`0@NormalArial Ta*@US"c"`"(I%%-BG Z379Tb<Tc:1Td</Te<Tf0@NormalArial Tg*@US"c"`")I%%-CG Z379Th<Ti:1Tj</Tk<Tl0@NormalArial Tm*@U0S"Tc"0`"*I$$-AB Z379Tn<To:1Tp</Tq<Tr0@NormalArial Ts*@U`S"c"``"+I$$-BC Z379Tt<Tu:1Tv</Tw<Tx0@NormalArial Ty*@US"c"`",I$$-CA Z379Tz<T{:1T|</T}<T~0@NormalArial T@B@Us"">"pT@@ pT@@ TT@@dTTV2SbT@@TT@@@TT@@K@TT@@{TT@@TT@@dTVS012T@@T2T@@{TT@@TT@@dTISabcT@@T1T@@TT@@dTcosT@@pTT@@TT@@@TT@@dTargT@@pTT@@TT@@p@TT@@TT@@dTaT@@TVS012T@@T2T@@pTT@@TT@@@TT@@dTargT@@pTT@@TT@@dTISabcT@@T1T@@TMTAT@B@Us"5""qT@@ pT@@TT@@dTTV2SbT@@TT@@+@T@XT@@TT*@UXs"}"X"6I%%-AG Z179T<T:1T</T<T0@NormalArial T*@Us"""I%%-BG Z379T<T:1T</T<T0@NormalArial T*@Us"""I%%-CG Z279T<T:1T</T<T0@NormalArial T*@Us"""qI$$-AB Z379T<T:1T</T<T0@NormalArial T*@U(s"L"("I$$-BC Z379T<T:1T</T<T0@NormalArial T*@UXs"|"X"ﭭI$$-CA Z379T<T:1T</T<T0@NormalArial T*@Us"""-I%%-AG Z379T<T:1T</T<T0@NormalArial T*@Us""".I%%-BG Z379T<T:1T</T<T0@NormalArial T*@Us"""/I%%-CG Z379T<T:1T</T<T0@NormalArial T*@U0s"T"0"0I$$-AB Z379T<T:1T</T<T0@NormalArial T*@U`s""`"1I$$-BC Z379T<T:1T</T<T0@NormalArial T*@Us"""2I$$-CA Z379T<T:1T</T<T0@NormalArial T@B@U""="rT@@ pT@@ TT@@dTTV2ScT@@TT@@@TT@@K@TT@@{TT@@TT@@dTVS012T@@T2T@@{TT@@TU@@dTISabcU@@T2U@@TU@@dUcosU@@pUU@@UU@@@UU@@dUargU@@pUU @@UU @@@U U @@dU aU @@U 2U @@U U@@dU VS012U@@U 2U@@pUU@@UU@@@UU@@dUargU@@pUU@@UU@@dUISabcU@@U2U@@UMTAU@B@U"4""sU@@ pU@@UU@@dUTV2ScU@@UU@@+@U@XU@@UU *@UX"}"X"7I%%-AG Z179U!<U":1U#</U$<U%0@NormalArial U&*@U"""I%%-BG Z379U'<U(:1U)</U*<U+0@NormalArial U,*@U"""I%%-CG Z279U-<U.:1U/</U0<U10@NormalArial U2*@U"""rﭭI$$-AB Z379U3<U4:1U5</U6<U70@NormalArial U8*@U("L"("I$$-BC Z379U9<U::1U;</U<<U=0@NormalArial U>*@UX"|"X"I$$-CA Z379U?<U@:1UA</UB<UC0@NormalArial UD*@U"""3I%%-AG Z379UE<UF:1UG</UH<UI0@NormalArial UJ*@U"""4I%%-BG Z379UK<UL:1UM</UN<UO0@NormalArial UP*@U"""5I%%-CG Z379UQ<UR:1US</UT<UU0@NormalArial UV*@U0"T"0"6I$$-AB Z379UW<UX:1UY</UZ<U[0@NormalArial U\*@U`""`"7I$$-BC Z379U]<U^:1U_</U`<Ua0@NormalArial Ub*@U"""8I$$-CA Z379Uc<Ud:1Ue</Uf<Ug0@NormalArial Uh@B@U"">"tUi@@ pUj@@ UiUk@@dUjTV2RaUl@@UjUm@@@UlUn@@K@UmUo@@{UnUp@@UoUq@@dUpVR012Ur@@Up2Us@@{UmUt@@UsUu@@dUtIRabcUv@@Ut0Uw@@UlUx@@dUwcosUy@@pUwUz@@UyU{@@@UzU|@@dU{argU}@@pU{U~@@U}U@@dU~VR012U@@U~2U@@pUzU@@UU@@@UU@@dUargU@@pUU@@UU@@dUIRabcU@@U0U@@UMTAU@B@U"5""zU@@ pU@@UU@@dUTV2RaU@@UU@@+@U@XU@@UU*@UX"}"X"8I%%-AG Z179U<U:1U</U<U0@NormalArial U*@U"""ﭭI%%-BG Z179U<U:1U</U<U0@NormalArial U*@U"""dﭭI%%-CG Z179U<U:1U</U<U0@NormalArial U*@U"""yI$$-AB Z279U<U:1U</U<U0@NormalArial U*@U("L"("ﭭI$$-BC Z279U<U:1U</U<U0@NormalArial U*@UX"|"X"I$$-CA Z279U<U:1U</U<U0@NormalArial U*@U"""9I%%-AG Z279U<U:1U</U<U0@NormalArial U*@U""":I%%-BG Z279U<U:1U</U<U0@NormalArial U*@U""";I%%-CG Z279U<U:1U</U<U0@NormalArial U*@U0"T"0"<I$$-AB Z279U<U:1U</U<U0@NormalArial U*@U`""`"=I$$-BC Z279U<U:1U</U<U0@NormalArial U*@U""">I$$-CA Z279U<U:1U</U<U0@NormalArial U@B@U"#?"vU@@ pU@@ UU@@dUTV2RbU@@UU@@@UU@@K@UU@@{UU@@UU@@dUVR012U@@U2U@@{UU@@UU@@dUIRabcU@@U1U@@UU@@dUcosU@@pUU@@UU@@@UU@@dUargU@@pUU@@UU@@dUaU@@UU@@dUVR012U@@U2U@@pUU@@UU@@@UU@@dUargU@@pUU@@UU@@dUIRabcU@@U1U@@UMTAU@B@U"/""{U@@ pU@@UV@@dUTV2RbV@@UV@@+@V@XV@@VV*@UX"}"X"9ﭭI%%-AG Z179V<V:1V</V<V 0@NormalArial V *@U"""I%%-BG Z179V <V :1V </V<V0@NormalArial V*@U"""fﭭI%%-CG Z179V<V:1V</V<V0@NormalArial V*@U"""zI$$-AB Z279V<V:1V</V<V0@NormalArial V*@U("L"("I$$-BC Z279V<V:1V</V <V!0@NormalArial V"*@UX"|"X"ﭭI$$-CA Z279V#<V$:1V%</V&<V'0@NormalArial V(*@U"""?I%%-AG Z279V)<V*:1V+</V,<V-0@NormalArial V.*@U"""@I%%-BG Z279V/<V0:1V1</V2<V30@NormalArial V4*@U"""AI%%-CG Z279V5<V6:1V7</V8<V90@NormalArial V:*@U0"T"0"BI$$-AB Z279V;<V<:1V=</V><V?0@NormalArial V@*@U`""`"CI$$-BC Z279VA<VB:1VC</VD<VE0@NormalArial VF*@U"""DI$$-CA Z279VG<VH:1VI</VJ<VK0@NormalArial VL@B@U#%#>#xVM@@ pVN@@ VMVO@@dVNTV2RcVP@@VNVQ@@@VPVR@@K@VQVS@@{VRVT@@VSVU@@dVTVR012VV@@VT2VW@@{VQVX@@VWVY@@dVXIRabcVZ@@VX2V[@@VPV\@@dV[cosV]@@pV[V^@@V]V_@@@V^V`@@dV_argVa@@pV_Vb@@VaVc@@@VbVd@@dVcaVe@@Vc2Vf@@VbVg@@dVfVR012Vh@@Vf2Vi@@pV^Vj@@ViVk@@@VjVl@@dVkargVm@@pVkVn@@VmVo@@dVnIRabcVp@@Vn2Vq@@VjMTAVr@B@U #.##|Vs@@ pVt@@VsVu@@dVtTV2RcVv@@VtVw@@+@Vv@XVx@@VvVy*@UX #}#X#:ﭭI%%-AG Z179Vz<V{:1V|</V}<V~0@NormalArial V*@U ###ﭭI%%-BG Z179V<V:1V</V<V0@NormalArial V*@U ###I%%-CG Z179V<V:1V</V<V0@NormalArial V*@U ###{I$$-AB Z279V<V:1V</V<V0@NormalArial V*@U( #L#(#I$$-BC Z279V<V:1V</V<V0@NormalArial V*@UX #|#X#I$$-CA Z279V<V:1V</V<V0@NormalArial V*@U ###EI%%-AG Z279V<V:1V</V<V0@NormalArial V*@U ###FI%%-BG Z279V<V:1V</V<V0@NormalArial V*@U ###GI%%-CG Z279V<V:1V</V<V0@NormalArial V*@U0 #T#0#HI$$-AB Z279V<V:1V</V<V0@NormalArial V*@U` ##`#II$$-BC Z279V<V:1V</V<V0@NormalArial V*@U ###JI$$-CA Z279V<V:1V</V<V0@NormalArial V*@U(3$<c$(@$f !00-@Reference equations - 6026 "New Ground Direction Elements Operate Reliably for Changing System Conditions", A. Guzman, J. Roberts, and D. Hou. These algorithms should be used for ground faults only.79V<V:1V</V<V0@NormalArial V*@U($\$($$ !44-4Relay S zero sequence voltage polarized torque value7494V<4V:1V</4V<4V0@NormalArial V*@UX$v$X$   - mf=0.997 9 V< V:1V</ V< V0@NormalArial V*@U$$$ $$$-! mr=0.057!9!V:1W?</W@<WA0@NormalArial WB*@U$$$ I$$-CA Z379WC<WD:1WE</WF<WG0@NormalArial WH*@U(%\#%( %" !44-4Relay R zero sequence voltage polarized torque value7494WI<4WJ:1WK</4WL<4WM0@NormalArial WN@B@U(:%9%^h% WO@@ pWP@@ WOWQ@@dWPT32RV0WR@@WPWS@@K@WRWT@@pWSWU@@WTWV@@dWUReWW@@pWUWX@@WWWY@@p@WXWZ@@WYW[@@dWZVR012W\@@WZ0W]@@WXW^@@p@W]W_@@W^W`@@p@W_Wa@@W`Wb@@dWaZ0Wc@@{WaWd@@WcZ0We@@W_Wf@@dWeIR012Wg@@We0Wh@@WRWi@@p@WhWj@@{WiWk@@WjWl@@dWkIR012Wm@@Wk0Wn@@Wh2Wo@B@Uc%Nv%p% Wp@@ pWq@@WpWr@@dWqT32RV0Ws@@WqWt@@+@Ws@XWu@@WsWv*@U`c%s%`p% @I%%-AG Z179Ww<Wx:1Wy</Wz<W{0@NormalArial W|*@Uc%s%p% I%%-BG Z179W}<W~:1W</W<W0@NormalArial W*@Uc%s%p% I%%-CG Z179W<W:1W</W<W0@NormalArial W*@Uc%$s%p% @I$$-AB Z179W<W:1W</W<W0@NormalArial W*@U0c%Ts%0p% I$$-BC Z179W<W:1W</W<W0@NormalArial W*@U`c%s%`p% I$$-CA Z179W<W:1W</W<W0@NormalArial W*@Uc%s%p% I%%-AG Z279W<W:1W</W<W0@NormalArial W*@Uc%s%p% I%%-BG Z279W<W:1W</W<W0@NormalArial W*@Uc%s%p% I%%-CG Z279W<W:1W</W<W0@NormalArial W*@U0c%Ts%0p% I$$-AB Z279W<W:1W</W<W0@NormalArial W*@U`c%s%`p% I$$-BC Z279W<W:1W</W<W0@NormalArial W*@Uc%s%p%! 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