.MCAD 309000000 \  docDocument MmcObject[** d2_graph_format graphData% axisFormat)L)Ltrace2D&&&&&&&&& & & & & &&& dim_formatTmasslengthtimecharge temperature luminosity substanceNumericalFormatQdii shpRectV mcDocumentObjectState\ mcPageModelK????mcHeaderFooterI@I |P CHeaderFooterJA {\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq14 Arial;}{\f3\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qc\plain\f3\fs18 Torque Based Direction \par Richard W. Wall \par } A {\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq14 Arial;}{\f3\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qc\plain\f3\fs18 EE504P Spring 2003 \par Department of ECE \par } @{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq14 Arial;}{\f3\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qr\plain\f3\fs18 \{n\} \par } @J@{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss Arial;}{\f4\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\plain\f4\fs18 \par } @{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss Arial;}{\f4\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qc\plain\f3\fs20 \par } @{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss Arial;}{\f4\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qr\plain\f4\fs18 \par } @J@JMbP?MbP? TextState? TextStyle>@ ArialSerial_ParPropDefaultWNormal>@Arial@W Heading 1>@ Arial@W Heading 2 >@ Arial@W Heading 3 >@ Arial@W Paragraph >@ Arial@WList >@ Arial@WIndent >@Times New Roman@W Title>@Times New Roman@W Subtitle 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@PSymbolsSymbol@P Current Selection FontArial@P Undefined Font@P HeaderArial@P FooterArial@PRotated Math FontTimes New Roman TextRegion* docRegionGshpBoxU1 9&*&* CharacterMap-RangeMap;@wThis program computes the directional torque equations for relays Rs and Rr with various faults located at F1 and F2.  ChrPropMap7w RangeElem<w ChrPropData8 RangeData=nArial ParPropMap9w   !"#$%&'()*+,-./01Root EntryF<Ole CompObjqOlePres000 FMicrosoft Visio DrawingVISIO 4.0 ShapesVisio.Drawing.69qOh+'08DP\ht:u:u q N    - "->$;+  +;L\jvvj\L; "-- - "-J$#:B<-BKWgx -BWk }xgWK}Bk<W:B--,"Arial-"System- . -!Rs`m- - "-%;- - "->$< )= ? D J Q Y a i q y ~   ) 9 I~ Wy cq li ra tY rQ lJ cD W? I= 9< )-- - "-J$# U @ ,' 3 C T h |        , @ U i }      | h T C 3 '  } i U---- . -!RrsR - - "-%  )- - "-$Pt-t-PPt--%"Arial-- . -!ZsB- - "-$fttfft---- . - !ZL*mfB- - "-$ t t  t---- . - ! 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T666 NP U    UvPaC G#G#G#G#G#G#xG &#O`$$!N=4!>7i>}p'0U2?E! 67gjP>603206&0B!4?6@27Tg2k=\- g2 VT @9ܯ6L^pu )5,2?Op??ZX F&m0#P@w?l_?VCG MO_N9{OOOOOo2qG`?FoXf.Xf RrjrjrgF_ _) ]__qgaopsoon# h0T_o?u5e%wv4R#|q@"];@ B `U ;@ !%U)15UC@=AUIMQUUpa%@U i!m"q#U$ %}&' ~ yJB Ώ}h1 !3E ~P ~` #5~ w~p  %(~ gy(~ 8| YkX?DxjtCU&KPJ5|ώ } ]oPm3Jߑ~v  _q(~ް  ~ Oas~f ~ ?Qcu(~w ~w/ASe~w~w/1/Z`aO贁Nk?2A&& LT /////f/ 0e?)2/?A?S?e?w?Q? 2!E?)2????O/??4_OqOZa(OOG7dOK\ @R_XNa\+z5 c(_tavwTigPa<Vb/'2rR9p=qGfq뒱Дg1Sj`aPV?~ovU03b0f[rgG !______6~fT q ij-d|oyo$ggSBeiud4oFjSkihJooo 7@R(opooe#!3EWroo/ Ʉ-ӏ@ -h$K]o{۟#>GYkf%ϯczP'9K&@B)ͿXV:Uj%øOaXp].ϑ3RJṇU4\DaӼOfX) 'ÿ ϒɟP&:A,A@[7cr{ύϫ`F hTA@* ?<I?NXfx** <Ebb{b b NeH u w wp&8J\nw QRectangle. with text and connion points. Can be stretched toy dimenss.ub??;i6:?<?9:4 EH"'}hT@?@%3.=F{?P +%q5~>~Guw` ?u qb_b} (T* **%L@_ A`9Copyright 1995 Visio Corporation. All |s reserved.r`Shape.hlp!#9000Y2lUXBa+,h*&!  C *B >/-,>b/t-!'В/ // ) rrVC 01#0#0h}:qr 4%QZ/ y/A /s>P /r?/?/?O?_k@tk@5~u`u Qu qbb @wS% )&B BBH 6#6/ L@ A`9Copyright 1995 Visio Corporation. 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@<@ }%-F<g#)L} )CFGDO+)̽ܫc)H+d/0cEF hTA@* ?<I?NXfx** <Ebb{b b NeH u 38} 3w32/R#K$J3]52bYM; ;10; 3;n0303;nI 3{Arrow of variable direction.e aheads through: both ends; one);e &er). rol_ handcNges size.mb?6i6}i?8?`H & W'hT0@@0 ?0/JPKbu `u `bu `u !S@( u` U/ u K@  .J88t@ju+U ~L@ / :" ol\K(b d#I)vaSf$  tN`s@! &27q ?/& ,"!TB/f $(74 (\e< $ 7`Qps-8R?4@`@?0 +A`9Copyright 1995 Visio Corporation. All 2s reserved.`Shape.hlp!#15065D: lUI%!aU s@ r { d p4/%?6A @~r CA" pBAAQ @`@@ NQ@@`3@Q[R&V.z `36 Q%P\PO,@W 5p#}.+r!r"e#a DVzl3!UI aYP]S]P@GBK gBO B=F)FЈ3GF]C\@—NGa)VA`@Xn_"M_ r-O `ao(kQ:oLo i >+ H16!??? FO!O3OEBKETGpqhGv{HzO`OOOC4q0 @1B=B+< Q7L_/_A_S_e_w__\=R=____oo%o7oo[ooooioolPT2j qK 5xy:mv@@hEڣʵ~|  ʯ_'BʟT?J t03.e 翡Lqqo"5I6\|]ǰ,X!h, o EriY n4'2MCůT+ 0HY]j|yVQ?_,Œ?@euHO|~ע6P֤HAS "-7GO׌7ﮈXhDh0h̷-ڹ?-ZjHg YIY߆`LȨϭ!sr?qƾBW |y|LO3aЩ!ߙ݄3PP!Y ¾!35GYk }^Ej3  D '  DqL*mf~Y"MOփLЩ 5r5 ¨2=5#0?.@@Rd#|/6j#699.=/44.?X/{+(1-mf)Ћ///(GK@T/ԅ&$Au@@O Ce6FPupЮP\3e?$((P.OeLbbҽ`bUbbbb%eT1q,HR'r (q;/ O\۴!1-rW[Pz/5B&tUp= =@ t 0s0p:mqr=yu\<{pHqlp,_ @z3@',>`  tN`zs+@o sw T?2Iʀ?ʕTȅ+fI%/Y.d? ɺǰڹhIUp+Kɰ:ɿ@ݠaVUU à_-dM 6@q5aa"?p \3Hf|cȋY)G@v /A S-(pLі̯ޯ&8J0YX@ 2(gI➻ᄊ:XW $X) a/Pϰ 0"WxϊϜϮπ P1CU9 >,l /AQ2YZ 4p 3 pI:ZY /$Z+# 'c1*R4S#Z~& 3EW pp=Pt(zИ3Ԛ*<Jh40Y\B?cp n㴗BO IB:O\BS[C _$\B-S WeC3ZT/dAQjR-PjR//////>?? cpJgr+p =bvUpʌwU r2H@?_,Œ}ՙ c}t se2eaf$qdfV{T%r+нx_4fHg4\v{,XpDp 0pp)p~DamR?c? uff}Ey0ymУ,vY@vYTo"#`#L##` QhZri?`4Sfc'2rqaTa%)3`7h`GoYnؐ{D{`j`<0t`*A+tЯaR@a4PL@ !t)vPT0PB\BZOlO~JP'A>-So֑io-_om֑Cgo_ooKoIUpġppT4`QV/s,IsOO_:m@@޼xVz4_F_XZuCu{_____*p>_oo+o=o/Aoo%oIoK]oxr,Irp K&,ưq$&dZ@@h``rt#VMR_XՠC@/⥚#M@*S:GC2Dq? }€IH B1q ?D֮x BHVh?lz&1N/`/ @2Ob,9У鮃`0BWDP(jPOɱΰҰU€ڰQ޴P激 .Rduςϔϫ86kJd#5GYk}ߖ߳@߄// 1r;M_q??*pr2w:%贁N[??@ B5bP5<5/q sB BU€ƄΆY?/2O7 Oߙ`lbʳ1*?3?v0R|K @I6;rIP~JM;MUsIQsIO`LN xZLs*m!& /??*2H|r}x_d @4ץ0S S]K!u `u `ǰuo `u tľUq!tt@| `p qUq$p!p`tL^~`r@hh|p ߂t @z3@pu?@rrCs@sIroOsu*Pp!o琑A-'aۀaO &oyuHT2a3rm!eb8i6?@7&?@8W8ˀO (@OI@D•wܖxjtq1iUL]@#0ߐDFPل 5wد@*FΧHl֯\ PPPT[44&ARa !^pKc:mMy!3E*N$U"s)/M/9?o/L?/p?4 /AH t@M@d:m?%&'()*01235$  :@BT\:F>0 &@$V:?R4+Page-1Black fill_White }uRed Green -Cya@Yellow GMnta3a=y(10% x line3 Long dash1"da%rI9e. X5 7 9 1Gpxlm9mHairqShort Arial cke?redtop leftTim esConnector 8ptR angleL c&CircC 0Y SiA! arrowhead:(.w2Fy*4Ty*_5e/G ̮)z)15x!\#.17h-.23y+4!$2833030۪0000000000q0e0T0F000!0003 3m0m0m0m0m0m0xm0hm0Xm0Gm04m0$m0m000Ӫ000000r0d0U0G0<0-00 06  5~1CUgy&1" p  % $0(3W)*m+1Ԑ #" D//:/L/^/j///////?`'?9?K?]? f??'2 !-|/ t#t@M@d:m?  !"! ` hl 2@Bg>z<!^% g (p=M@( Y74d R8T@̋ҿN&B4ܫ!U 5/D@ wlߵo$P$ 'ẉ:9@{)/`l2F\;^ʷ\`=?wtȿ>=,Y?<  C*!*@U3 yA++-&Figure 1. System single line diagram.7&<&8nArial9&<&:@W1</&<&0@NormalArial *@UM$  EEE-#1.1. Transmission line calculations7#!<#"8 lArial9##<#$:@W1%</#&<#'0@NormalArial (*@U/ND@ FFF-' 1.1.2 Unbalanced line parameter matrix7&')<*8(+<&,8(lArial)++9'-<'.:@W1/</'0<'10@NormalArial 2eqRegionB@Ugox3tree@ p4@@ 35@@d4 Line_Length6@@4257@B@UQ8@@ p9@@ 8:@@d9ZL;@@9<@@p@;=@@0<>@@0A=?@@0A>@@@@0A?@A@@0A@@@B@@0A@A@C@@0A@B@D@@0A@C@E@@0A@D@F@@@@E@G@@@E@H@@t@G0.2201@I@@@G0.9608i@J@@@D@K@@t@J0.1175@L@@@J0.4895i@M@@@C@N@@t@M0.1133@O@@@M0.4608i@P@@@B@Q@@t@P0.1175@R@@@P0.4895i@S@@@A@T@@t@S0.2285@U@@@S0.9575i@V@@@@@W@@t@V0.1175@X@@@V0.4895i@Y@@?@Z@@t@Y0.1133@[@@@Y0.4608i@\@@>@]@@t@\0.1175@^@@@\0.4895i@_@@=@`@@t@_0.2201@a@@@_0.9608i@b@@; Line_Length@c*@U`<XXX-+ 1.1.3 Balanced line parameter computations7+@d<@e8@c}@f<*@g8@clArial@d@f@d9+@h<+@i:@W1@j</+@k<+@l0@NormalArial @m@B@U- @n@@ p@o@@ @n@p@@d@oZm@q@@@o@r@@p@@q@s@@@r@t@@@@s@u@@@@t@v@@d@uZL@w@@ @u@x@@t@w0@y@@@w1@z@@@t@{@@d@zZL@|@@ @z@}@@t@|0@~@@@|2@@@@s@@@d@ZL@@@ @@@@t@2@@@@1@@@@q3@@B@U& @@@ p@@@ @@@@d@Zs@@@@@@@p@@@@@@@@@@@@@@@@@@@d@ZL@@@ @@@@t@0@@@@0@@@@@@@d@ZL@@@ @@@@t@1@@@@1@@@@@@@d@ZL@@@ @@@@t@2@@@@2@@@@3@@B@U(/K( @@@ p@@@@@@@d@Zm@@@@@@@+@@Serial_DisplayNodeX@@@@@@B@U(/D( @@@ p@@@@@@@d@Zs@@@@@@@+@@@X@@@@@*@UOjd` ZZZ-6 1.1.3.1 Symmetrical component impedance calculations746@<@8@@<4@8@lArial@@@96@<6@:@W1@</6@<6@0@NormalArial @@B@U w@ @@@ p@@@ @@@@d@Z1@@@p@@@@@@@@d@Zs@@@@Zm@@B@Uw @@@ p@@@@@@@d@Z1@@@@@@@+@@@X@@@@@@B@U @ @@@ p@@@ @@@@d@Z0@@@p@@@@@@@@d@Zs@@@@@@@t@2@@@@Zm@@B@U @@@ p@@@@@@@d@Z0@@@@@@@+@@@X@@@@@*@Ue MMM-* 1.1.3.2 Asymmetrical compensation factor7*@<*@8@lArial9*@<*@:@W1@</*@<*@0@NormalArial @@B@U > @@@ p@@@ @@@@d@k0@@@@@@@p@@@@@@@@@d@Z0@@@@Z1@@@@@@@t@3@@@@Z1@@B@U  @@@ p@@@@@@@d@k0@@@@@@@+@@@X@@@@@*@U/hD@ ```-1.2 Network impedance matrices7@<@8@}@<@8@lArial@@@9@<@:@W1@</@<@0@NormalArial @*@UOkd` ccc-0 1.2.1 Default R and S voltage source impedance 7/0@<@8@}@<.@8@lArial@@<A8@}@@@90A<0A:@W1A</0A<0A0@NormalArial A@B@Uq- A@@ pA@@ AA @@dAZssA @@pAA @@0A A @@0AA A @@0AA A@@0AA A@@0AAA@@0AAA@@0AAA@@0AAA@@0AAA@@@AA@@AA@@tA1A@@A6iA@@A0A@@A0A@@A0A@@AA@@tA1A@@A6iA@@A0A@@A 0A @@A 0A!@@A A"@@tA!1A#@@A!6iA$@B@Ux A%@@ pA&@@ A%A'@@dA&ZrrA(@@A&ZssA)*@Uu eee-' 1.2.2 Default fault impedance matrices7'A*<A+8A)}A,<&A-8A)lArialA*A,A*9'A.<'A/:@W1A0</'A1<'A20@NormalArial A3*@U`` APP-" 1.2.3 Infinite impedance matrices7"A4<A58A3}A6 K ߄-Power system angle7A<A8AnArial9A<A:@W1A</A<A0@NormalArial A*@UP3PQ 00-@SSpecify power angle in degress - positive for leading and negative for lagging,7S9SA*@U/D@B A-1.3.3 R end voltage source 7B?<B@8B>lArial9BA<BB:@W1BC</BD<BE0@NormalArial BF@B@U8MVC BG@@ pBH@@ BGBI@@dBHEsBJ@@pBHBK@@0BJBL@@0ABKBM@@0ABLBN@@@BMBO@@BMBP@@dBOVgBQ@@BOaBR@@BLBS@@dBRVgBT@@BRBU@@dBTaBV@@BT2BW@@BKVgBX@B@U`S}D BY@@ pBZ@@ BYB[@@dBZErB\@@pBZB]@@0B\B^@@0AB]B_@@0AB^B`@@@B_Ba@@B_Bb@@@BaBc@@dBbVgBd@@Bb\dBe@@BaaBf@@B^Bg@@@BfBh@@dBgVgBi@@Bg\dBj@@BfBk@@dBjaBl@@Bj2Bm@@B]Bn@@dBmVgBo@@Bm\dBp*@U-1.4 Subroutines7Bq<Br8BplArial9Bs<Bt:@W1Bu</Bv<Bw0@NormalArial Bx*@U- 1.4.1 System Impedance matrix7By<Bz8Bx}B{<B|8BxlArialByB{By9B}<B~:@W1B</B<B0@NormalArial B@B@UP.0 qHB@@ pB@@ BB@@@BB@@dBZsystemB@@pBB@@ BB@@ @BB@@ @BB@@ @BB@@ @BB@@ @BB@@dBZsB@@BZrB@@BZLB@@BZffB@@BZfrB@@BmfB@@BmrB@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@@BB@@dBY11B@@BB@@@BB@@@BB@@dBZsB@@KBB@@B1B@@BB@@dBZfrB@@KBB@@B1B@@BB@@p@BB@@BB@@dBmrB@@BZLB@@KBB@@B1B@@BB@@dBY12B@@KBB@@BB@@p@BB@@BB@@dBmrB@@BZLB@@KBB@@B1B@@BB@@dBY13B@@BYnullB@@BB@@dBY14B@@BYnullB@@BB@@dBY21B@@BY12B@@BB@@dBY22B@@pBB@@BB@@@BB@@p@BB@@BB@@dBmfB@@BZLB@@KBB@@B1B@@BB@@p@BB@@BB@@dBmrB@@BZLB@@KBB@@B1B@@BB@@dBY23B@@KBB@@BB@@p@BB@@BB@@dBmfB@@BZLB@@KBB@@B1B@@BB@@dBY24B@@BYnullB@@BB@@dBY31B@@BY13B@@BB@@dBY32B@@BY23B@@BC@@dBY33C@@pBC@@CC@@@CC@@@CC@@p@CC@@CC@@dCmfC@@CZLC @@KCC @@C 1C @@CC @@p@C C @@C C@@p@C C@@CC@@tC1C@@CmfC@@C ZLC@@KC C@@C1C@@CC@@dCZffC@@KCC@@C1C@@BC@@dCY34C@@KCC@@CC@@p@CC@@CC@@p@CC @@CC!@@dC 1C"@@C mfC#@@CZLC$@@KCC%@@C$1C&@@BC'@@dC&Y41C(@@C&Y14C)@@BC*@@dC)Y42C+@@C)Y24C,@@BC-@@dC,Y43C.@@C,Y34C/@@BC0@@dC/Y44C1@@pC/C2@@C1C3@@@C2C4@@p@C3C5@@C4C6@@p@C5C7@@C6C8@@dC71C9@@C7mfC:@@C5ZLC;@@KC3C<@@C;1C=@@C2C>@@dC=ZrC?@@KC=C@@@C?1CA@@BCB@@dCAY1CC@@CACD@@dCCstackCE@@pCCCF@@ CECG@@dCFY11CH@@CFY21CI@@BCJ@@dCIY1CK@@CICL@@dCKstackCM@@pCKCN@@ CMCO@@dCNY1CP@@CNY31CQ@@BCR@@dCQY1CS@@CQCT@@dCSstackCU@@pCSCV@@ CUCW@@dCVY1CX@@CVY41CY@@BCZ@@dCYY2C[@@CYC\@@dC[stackC]@@pC[C^@@ C]C_@@dC^Y12C`@@C^Y22Ca@@BCb@@dCaY2Cc@@CaCd@@dCcstackCe@@pCcCf@@ CeCg@@dCfY2Ch@@CfY32Ci@@BCj@@dCiY2Ck@@CiCl@@dCkstackCm@@pCkCn@@ CmCo@@dCnY2Cp@@CnY42Cq@@BCr@@dCqY3Cs@@CqCt@@dCsstackCu@@pCsCv@@ CuCw@@dCvY13Cx@@CvY23Cy@@BCz@@dCyY3C{@@CyC|@@dC{stackC}@@pC{C~@@ C}C@@dC~Y3C@@C~Y33C@@BC@@dCY3C@@CC@@dCstackC@@pCC@@ CC@@dCY3C@@CY43C@@BC@@dCY4C@@CC@@dCstackC@@pCC@@ CC@@dCY14C@@CY24C@@BC@@dCY4C@@CC@@dCstackC@@pCC@@ CC@@dCY4C@@CY34C@@BC@@dCY4C@@CC@@dCstackC@@pCC@@ CC@@dCY4C@@CY44C@@BC@@dCYC@@CC@@dCaugmentC@@pCC@@ CC@@dCY1C@@CY2C@@BC@@dCYC@@CC@@dCaugmentC@@pCC@@ CC@@dCYC@@CY3C@@BC@@dCYC@@CC@@dCaugmentC@@pCC@@ CC@@dCYC@@CY4C@@sBC@@CC@@dCYC@@KCC@@C1C*@U <  ,,,-# 1.4.2 Compute system node voltages7#C<C8C}C<"C8ClArialCCC9#C<#C:@W1C</#C<#C0@NormalArial C@B@U   C@@ pC@@ CC@@@CC@@dCSolve_Node_VoltagesC@@pCC@@ CC@@ @CC@@ @CC@@ @CC@@ @CC@@ @CC@@ @CC@@ @CC@@dCEsC@@CErC@@CZsC@@CZrC@@CZLC@@CZffC@@CZfrC@@CmfC@@CmrC@@CC@@@CC@@@CC@@@CC@@@CC@@@CC@@@CC@@@CC@@dCZC@@CC@@dCZsystemC@@pCC@@ CC@@ @CC@@ @CC@@ @CC@@ @CC@@ @CC@@dCZsC@@CZrC@@CZLC@@CZffC@@CZfrC@@CmfC@@CmrC@@CC@@dCNullSrcC@@pCC@@0CC@@0ACC@@0ACC@@@CC@@C0D@@C0D@@C0D@@CD@@dDIgenD@@DD@@@DD@@dDZsD@@KDD@@D1D @@DEsD @@CD @@dD IgenD @@D D @@dD stackD@@pD D@@ DD@@dDIgenD@@DNullSrcD@@CD@@dDIgenD@@DD@@dDstackD@@pDD@@ DD@@dDIgenD@@DNullSrcD@@CD@@dDIgenD@@DD@@dDstackD@@pDD@@ DD @@dDIgenD!@@pDD"@@D!D#@@@D"D$@@dD#ZrD%@@KD#D&@@D%1D'@@D"ErD(@@CD)@@dD(VD*@@D(D+@@dD*ZD,@@D*IgenD-@@sCD.@@D-VD/*@U \4 0 TTT-7 1.4.3 Phase to symmetrical component conversion matrix77D0<D18D/}D2<6D38D/lArialD0D2D097D4<7D5:@W1D6</7D7<7D80@NormalArial D9*@UO d ` y-h = scale vactor7D:<D;8D9nArial9D<<D=:@W1D></D?<D@0@NormalArial DA*@UW  h y&/&/-@Ia = 120 degree phase shift operator a2 = 240 degree phase shift operator7'&IDB<&DC8DAnArialDD<DE8DA@ArialDBDF<"DG8DAnArialDDDFDB9IDH@@ @E=E?@@dE>VE@@@E>6EA@@E=8EB@@E<0EC@@E;0ED@@EEE@@dEDIrEF@@EDEG@@@EFEH@@p@EGEI@@EHEJ@@p@EIEK@@EJEL@@tEK1EM@@EKmfEN@@EIZLEO@@KEGEP@@EO1EQ@@pEFER@@EQES@@@ERET@@dES submatrixEU@@pESEV@@ EUEW@@ @EVEX@@ @EWEY@@ @EXEZ@@dEYVE[@@EY9E\@@EX11E]@@EW0E^@@EV0E_@@ERE`@@dE_ submatrixEa@@pE_Eb@@ EaEc@@ @EbEd@@ @EcEe@@ @EdEf@@dEeVEg@@Ee6Eh@@Ed8Ei@@Ec0Ej@@Eb0Ek@@EEl@@dEkIfltEm@@EkEn@@dEmIsEo@@EmIrEp@@EEq@@dEpIbEr@@EpIsEs@@EEt@@dEsIbEu@@EsEv@@dEustackEw@@pEuEx@@ EwEy@@dExIbEz@@ExIrE{@@EE|@@dE{IbE}@@E{E~@@dE}stackE@@pE}E@@ EE@@dEIbE@@EIfltE@@sEE@@EIbE PageBreakE@U@@H@E*@UO[d`SSS-& 1.4.4 Rectangular to polar conversion7&E<E8E}E<%E8ElArialEEE9&E<&E:@W1E</&E<&E0@NormalArial E@B@UwexE@@ pE@@ EE@@@EE@@dE rect2polarE@@pEE@@ERE@@EE@@@EE@@@EE@@@EE@@@EE@@@EE@@@EE@@dEmE@@{EE@@EE@@dERE@@EiE@@EE@@dE\aE@@EE@@@EE@@dEargE@@pEE@@EE@@dERE@@EiE@@EE@@tE180E@@E\pE@@EE@@dEpE@@pEE@@0EE@@0AEE@@@EE@@E\aE@@EmE@@IEE@@@EE@@dEPolE@@EpE@@)EE@@dEiE@@E1E@@IEE@@@EE@@dEPolE@@EE@@dEstackE@@pEE@@ EE@@dEPolE@@EpE@@(EE@@dEiE@@E0E@@EE@@dEiE@@EE@@tE0E@@E2E@@sEE@@EPolE*@UF$:::-@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<+E8EhArialE<E8EhArialEE<E8E@ArialEE<#E8EhArialEE<E8E@ArialEE<F?0@NormalArial F@@B@U{FA@@ pFB@@ FAFC@@dFBVSabc_prefaultFD@@FBFE@@dFD submatrixFF@@pFDFG@@ FFFH@@ @FGFI@@ @FHFJ@@ @FIFK@@dFJ VprefaultFL@@FJ3FM@@FI5FN@@FH0FO@@FG0FP@B@U%cFQ@@ pFR@@FQFS@@@FRFT@@dFS rect2polarFU@@pFSFV@@FUVSabc_prefaultFW@@FRFX@@+@FW@XFY@@FWFZ@B@Uw}F[@@ pF\@@ F[F]@@dF\VRabc_prefaultF^@@F\F_@@dF^ submatrixF`@@pF^Fa@@ F`Fb@@ @FaFc@@ @FbFd@@ @FcFe@@dFd VprefaultFf@@Fd6Fg@@Fc8Fh@@Fb0Fi@@Fa0Fj@B@UYeFk@@ pFl@@FkFm@@@FlFn@@dFm rect2polarFo@@pFmFp@@FoVRabc_prefaultFq@@FlFr@@+@Fq@XFs@@FqFt*@U   y1- Extract Relay and fault currents7 Fu< Fv8FtnArial9 Fw< Fx:@W1Fy</ Fz< F{0@NormalArial F|*@U#y1-2Display Relay and fault currents in polar notation72F}<2F~8F|nArial92F<2F:@W1F</2F<2F0@NormalArial F@B@U9)F@@ pF@@ FF@@dFIbrF@@FF@@dFSolve_currentsF@@pFF@@ FF@@ @FF@@dF VprefaultF@@FZLF@@FmfF@B@UG2_lXF@@ pF@@ FF@@dF ISprefaultF@@FF@@dF submatrixF@@pFF@@ FF@@ @FF@@ @FF@@ @FF@@dFIbrF@@F0F@@F2F@@F0F@@F0F@B@U1b`F@@ pF@@FF@@@FF@@dF rect2polarF@@pFF@@F ISprefaultF@@FF@@+@F@XF@@FF@B@U$^F@@ pF@@ FF@@dF IRprefaultF@@FF@@dF submatrixF@@pFF@@ FF@@ @FF@@ @FF@@ @FF@@dFIbrF@@F3F@@F5F@@F0F@@F0F@B@UdF@@ pF@@FF@@@FF@@dF rect2polarF@@pFF@@F IRprefaultF@@FF@@+@F@XF@@FF@B@U87r0F@@ pF@@ FF@@dF IFLTprefaultF@@FF@@dF submatrixF@@pFF@@ FF@@ @FF@@ @FF@@ @FF@@dFIbrF@@F6F@@F8F@@F0F@@F0F@B@Upk08F@@ pF@@FF@@@FF@@dF rect2polarF@@pFF@@F IFLTprefaultF@@FF@@+@F@XF@@FF*@U /D @Azz-,1.6 Calculate prefault voltages and currents7,F<,F8FlArial9,F<,F:@W1F</,F<,F0@NormalArial F*@U_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.7F<F8FnArial9F<F:@W1F</F<F0@NormalArial F@B@U('s?J8F@@ pF@@ FF@@dFmfF@@F0.1F*@U'4<8y-Forward fault location7F<F8FnArial9F<F:@W1F</F<F0@NormalArial F@B@U(OgH`F@@ pF@@ FF@@dFmrF@@F0.0001G*@UOMd`y-Reverse fault location7G<G8GnArial9G<G:@W1G</G<G0@NormalArial G*@Uw -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.7}|jG <|G 8GnArialG <G 8G@ArialG G <G8G@ArialG G G 9jG    !"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?? Y@-1,,J/T  hTJbOSS0{Gz?@CPjV]uVbUUO OS? T666 NP U    UvPaC G#G#G#G#G#G#xG &#O`$$!N=4!>7i>}p'0U2?E! 67gjP>603206&0B!4?6@27Tg2k=\- g2 VT @9ܯ6L^pu )5,2?Op??ZX F&m0#P@w?l_?VCG MO_N9{OOOOOo2qG`?FoXf.Xf RrjrjrgF_ _) ]__qgaopsoon# h0T_o?u5e%wv4R#|q@"];@ B `U ;@ !%U)15UC@=AUIMQUUpa%@U i!m"q#U$ %}&' ~ yJB Ώ}h1 !3E ~P ~` #5~ w~p  %(~ gy(~ 8| YkX?DxjtCU&KPJ5|ώ } ]oPm3Jߑ~v  _q(~ް  ~ Oas~f ~ ?Qcu(~w ~w/ASe~w~w/1/Z`aO贁Nk?2A&& LT /////f/ 0e?)2/?A?S?e?w?Q? 2!E?)2????O/??4_OqOZa(OOG7dOK\ @R_XNa\+z5 c(_tavwTigPa<Vb/'2rR9p=qGfq뒱Дg1Sj`aPV?~ovU03b0f[rgG !______6~fT q ij-d|oyo$ggSBeiud4oFjSkihJooo 7@R(opooe#!3EWroo/ Ʉ-ӏ@ -h$K]o{۟#>GYkf%ϯczP'9K&@B)ͿXV:Uj%øOaXp].ϑ3RJṇU4\DaӼOfX) 'ÿ ϒɟP&:A,A@[7cr{ύϫ`F hTA@* ?<I?NXfx** <Ebb{b b NeH u w wp&8J\nw QGeneric box with text and connection points. Can be stretched toy dimwenss.mb?7io68?k?4 H"'}hTM@?,544?P +qu u Gu` Zu qbb (J* **%L@_ A`9Copyright 1995 Visio Corporation. All |s reserved.r`Shape.hlp!#150002lUXBa 5*Z&!  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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$9@,O)/`<l2FL W&?w' <(`C*4!G*@UyA- Figure 2. Fault matrix diagram.7 G< G8GnArial9 G< G:@W1G</ G< G0@NormalArial G@B@Uh/G@G@@ pG @@ GG!@@dG ZaaG"@@G 0.01G#@B@U&EG@G$@@ pG%@@ G$G&@@dG%ZbbG'@@G%G(@@tG'10G)@@G'6G*@B@U.OHG+@@ pG,@@ G+G-@@dG,ZccG.@@G,G/@@tG.10G0@@G.6G1@B@UXVwpG2@@ pG3@@ G2G4@@dG3ZabG5@@G3G6@@tG510G7@@G56G8@B@UVDwpG9@@ pG:@@ G9G;@@dG:ZbcG<@@G:G=@@tG<10G>@@G<6G?@B@U^xG@@@ pGA@@ G@GB@@dGAZacGC@@GAGD@@tGC10GE@@GC6GF@B@U5GG@@ pGH@@ GGGI@@dGHZffGJ@@GHGK@@p@GJGL@@0GKGM@@0AGLGN@@0AGMGO@@0AGNGP@@0AGOGQ@@0AGPGR@@0AGQGS@@0AGRGT@@0AGSGU@@@GTGV@@pGTGW@@GVGX@@@GWGY@@@GXGZ@@dGYZccG[@@KGYG\@@G[1G]@@GXG^@@dG]ZacG_@@KG]G`@@G_1Ga@@GWGb@@dGaZbcGc@@KGaGd@@Gc1Ge@@KGSGf@@GeGg@@dGfZbcGh@@KGfGi@@Gh1Gj@@KGRGk@@GjGl@@dGkZacGm@@KGkGn@@Gm1Go@@KGQGp@@GoGq@@dGpZbcGr@@KGpGs@@Gr1Gt@@pGPGu@@GtGv@@@GuGw@@@GvGx@@dGwZbbGy@@KGwGz@@Gy1G{@@GvG|@@dG{ZabG}@@KG{G~@@G}1G@@GuG@@dGZbcG@@KGG@@G1G@@KGOG@@GG@@dGZabG@@KGG@@G1G@@KGNG@@GG@@dGZacG@@KGG@@G1G@@KGMG@@GG@@dGZabG@@KGG@@G1G@@pGLG@@GG@@@GG@@@GG@@dGZaaG@@KGG@@G1G@@GG@@dGZabG@@KGG@@G1G@@GG@@dGZacG@@KGG@@G1G@@KGJG@@G1G@E@U@ LG*@U40-@A 1.6.1 Compute relay voltages and currents for the faulted system7AG<G8G}G<@G8GlArialGGG9AG@@H=H?@@@H>H@@@dH? rect2polarHA@@pH?HB@@HAVFabcHC@@H>HD@@+@HC@XHE@@HCHF@E@U@PHG*@U)App-' 1.6.2 Extract Relay and fault currents7'HH<HI8HG}HJ<&HK8HGlArialHHHJHH9'HL<'HM:@W1HN</'HO<'HP0@NormalArial HQ*@Up'<p8Wy1-2Display Relay and fault currents in polar notation72HR<2HS8HQnArial92HT<2HU:@W1HV</2HW<2HX0@NormalArial HY@B@U7,O1HbHZ@@ pH[@@ HZH\@@dH[IbrH]@@H[H^@@dH]Solve_currentsH_@@pH]H`@@ H_Ha@@ @H`Hb@@dHaVnodeHc@@HaZLHd@@H`mfHe@B@Ug ExaHf@@ pHg@@ HfHh@@dHgISabcHi@@HgHj@@dHi submatrixHk@@pHiHl@@ HkHm@@ @HlHn@@ @HmHo@@ @HnHp@@dHoIbrHq@@Ho0Hr@@Hn2Hs@@Hm0Ht@@Hl0Hu@B@UhIxVHv@@ pHw@@HvHx@@@HwHy@@dHx rect2polarHz@@pHxH{@@HzISabcH|@@HwH}@@+@H|@XH~@@H|H@B@U G^H@@ pH@@ HH@@dHIRabcH@@HH@@dH submatrixH@@pHH@@ HH@@ @HH@@ @HH@@ @HH@@dHIbrH@@H3H@@H5H@@H0H@@H0H@B@U![_H@@ pH@@ HH@@dHIFLTabcH@@HH@@dH submatrixH@@pHH@@ HH@@ @HH@@ @HH@@ @HH@@dHIbrH@@H6H@@H8H@@H0H@@H0H@B@UhXH@@ pH@@HH@@@HH@@dH rect2polarH@@pHH@@HIRabcH@@HH@@+@H@XH@@HH@B@Up XYH@@ pH@@HH@@@HH@@dH rect2polarH@@pHH@@HIFLTabcH@@HH@@+@H@XH@@HH@E@U@OH*@UM  * *-@S 1.6.3 Set maximum torque angle to the argumant of the positive sequence impedance 7SH<H8H}H@@II@@@{@I?IA@@I@VSbcIB@@{I?IC@@IBID@@dICISabcIE@@IC0IF@@I>IG@@dIFcosIH@@pIFII@@IHIJ@@@IIIK@@dIJargIL@@pIJIM@@ILIN@@dIMVSbcIO@@IM1iIP@@pIIIQ@@IPIR@@@IQIS@@dIRargIT@@pIRIU@@ITIV@@dIUISabcIW@@IU0IX@@IQMTAIY@B@UPwIZ@@ pI[@@IZI\@@dI[TSaI]@@I[I^@@+@I]@XI_@@I]I`*@UPuPI%%-AG Z279Ia<Ib:@W1Ic</Id<Ie0@NormalArial If*@UI%%-BG Z279Ig<Ih:@W1Ii</Ij<Ik0@NormalArial Il*@UI%%-CG Z279Im<In:@W1Io</Ip<Iq0@NormalArial Ir*@UI$$-AB Z279Is<It:@W1Iu</Iv<Iw0@NormalArial Ix*@U D I$$-BC Z279Iy<Iz:@W1I{</I|<I}0@NormalArial I~*@UPtPI$$-CA Z279I<I:@W1I</I<I0@NormalArial I*@UI%%-AG Z379I<I:@W1I</I<I0@NormalArial I*@UI%%-BG Z379I<I:@W1I</I<I0@NormalArial I*@UI%%-CG Z379I<I:@W1I</I<I0@NormalArial I*@U D I$$-AB Z379I<I:@W1I</I<I0@NormalArial I*@UPtPI$$-BC Z379I<I:@W1I</I<I0@NormalArial I*@U@I$$-CA Z379I<I:@W1I</I<I0@NormalArial I@B@U0ZI@@ pI@@ II@@dITSbI@@II@@@II@@{@II@@IVScaI@@{II@@II@@dIISabcI@@I1I@@II@@dIcosI@@pII@@II@@@II@@dIargI@@pII@@II@@dIVScaI@@I1iI@@pII@@II@@@II@@dIargI@@pII@@II@@dIISabcI@@I1I@@IMTAI@B@UHpI@@ pI@@II@@dITSbI@@II@@+@I@XI@@II*@UPuPI%%-AG Z279I<I:@W1I</I<I0@NormalArial I*@UI%%-BG Z279I<I:@W1I</I<I0@NormalArial I*@UI%%-CG Z279I<I:@W1I</I<I0@NormalArial I*@UI$$-AB Z279I<I:@W1I</I<I0@NormalArial I*@U D I$$-BC Z279I<I:@W1I</I<I0@NormalArial I*@UPtPI$$-CA Z279I<I:@W1I</I<I0@NormalArial I*@UI%%-AG Z379I<I:@W1I</I<I0@NormalArial I*@UI%%-BG Z379I<I:@W1I</I<I0@NormalArial I*@UI%%-CG Z379I<J:@W1J</J<J0@NormalArial J*@U D I$$-AB Z379J<J:@W1J</J<J 0@NormalArial J *@UPtP@I$$-BC Z379J <J :@W1J </J<J0@NormalArial J*@UI$$-CA Z379J<J:@W1J</J<J0@NormalArial J@B@U0/KY@J@@ pJ@@ JJ@@dJTScJ@@JJ@@@JJ@@{@JJ@@JVSabJ@@{JJ@@JJ @@dJISabcJ!@@J2J"@@JJ#@@dJ"cosJ$@@pJ"J%@@J$J&@@@J%J'@@dJ&argJ(@@pJ&J)@@J(J*@@dJ)VSabJ+@@J)1iJ,@@pJ%J-@@J,J.@@@J-J/@@dJ.argJ0@@pJ.J1@@J0J2@@dJ1ISabcJ3@@J12J4@@J-MTAJ5@B@UH/Go@J6@@ pJ7@@J6J8@@dJ7TScJ9@@J7J:@@+@J9@XJ;@@J9J<*@UP3uCP@I%%-AG Z279J=<J>:@W1J?</J@<JA0@NormalArial JB*@U3C@I%%-BG Z279JC<JD:@W1JE</JF<JG0@NormalArial JH*@U3C@I%%-CG Z279JI<JJ:@W1JK</JL<JM0@NormalArial JN*@U3C@I$$-AB Z279JO<JP:@W1JQ</JR<JS0@NormalArial JT*@U 3DC @I$$-BC Z279JU<JV:@W1JW</JX<JY0@NormalArial JZ*@UP3tCP@I$$-CA Z279J[<J\:@W1J]</J^<J_0@NormalArial J`*@U3C@I%%-AG Z379Ja<Jb:@W1Jc</Jd<Je0@NormalArial Jf*@U3C@I%%-BG Z379Jg<Jh:@W1Ji</Jj<Jk0@NormalArial Jl*@U3C@I%%-CG Z379Jm<Jn:@W1Jo</Jp<Jq0@NormalArial Jr*@U 3DC @I$$-AB Z379Js<Jt:@W1Ju</Jv<Jw0@NormalArial Jx*@UP3tCP@@I$$-BC Z379Jy<Jz:@W1J{</J|<J}0@NormalArial J~*@U3C@@I$$-CA Z379J<J:@W1J</J<J0@NormalArial J@B@U0_){[pJ@@ pJ@@ JJ@@dJTRaJ@@JJ@@@JJ@@{@JJ@@JVRbcJ@@{JJ@@JJ@@dJIRabcJ@@J0J@@JJ@@dJcosJ@@pJJ@@JJ@@@JJ@@dJargJ@@pJJ@@JJ@@dJVRbcJ@@J1iJ@@pJJ@@JJ@@@JJ@@dJargJ@@pJJ@@JJ@@dJIRabcJ@@J0J@@JMTAJ@B@UH_wqpJ@@ pJ@@JJ@@dJTRaJ@@JJ@@+@J@XJ@@JJ*@UPcusPpI%%-AG Z179J<J:@W1J</J<J0@NormalArial J*@UcspﭭI%%-BG Z179J<J:@W1J</J<J0@NormalArial J*@UcspﭭI%%-CG Z179J<J:@W1J</J<J0@NormalArial J*@UcspI$$-AB Z179J<J:@W1J</J<J0@NormalArial J*@U cDs pI$$-BC Z179J<J:@W1J</J<J0@NormalArial J*@UPctsPpI$$-CA Z179J<J:@W1J</J<J0@NormalArial J*@UcspI%%-AG Z279J<J:@W1J</J<J0@NormalArial J*@UcspI%%-BG Z279J<J:@W1J</J<J0@NormalArial J*@UcspI%%-CG Z279J<J:@W1J</J<J0@NormalArial J*@U cDs p@I$$-AB Z279J<J:@W1J</J<J0@NormalArial J*@UPctsPpI$$-BC Z279J<J:@W1J</J<J0@NormalArial J*@UcspI$$-CA Z279J<J:@W1J</J<J0@NormalArial J@B@U0(\J@@ pJ@@ JJ@@dJTRbJ@@JJ@@@JJ@@{@JJ@@JVRcaJ@@{JJ@@JJ@@dJIRabcJ@@J1J@@JJ@@dJcosK@@pJK@@KK@@@KK@@dKargK@@pKK@@KK@@dKVRcaK@@K1iK@@pKK @@KK @@@K K @@dK argK @@pK K @@K K@@dK IRabcK@@K 1K@@K MTAK@B@UHrK@@ pK@@KK@@dKTRbK@@KK@@+@K@XK@@KK*@UPuPﭭI%%-AG Z179K<K:@W1K</K<K0@NormalArial K*@UI%%-BG Z179K<K :@W1K!</K"<K#0@NormalArial K$*@UﭭI%%-CG Z179K%<K&:@W1K'</K(<K)0@NormalArial K**@UI$$-AB Z179K+<K,:@W1K-</K.<K/0@NormalArial K0*@U D I$$-BC Z179K1<K2:@W1K3</K4<K50@NormalArial K6*@UPtPI$$-CA Z279K7<K8:@W1K9</K:<K;0@NormalArial K<*@UI%%-AG Z279K=<K>:@W1K?</K@<KA0@NormalArial KB*@UI%%-BG Z279KC<KD:@W1KE</KF<KG0@NormalArial KH*@UI%%-CG Z279KI<KJ:@W1KK</KL<KM0@NormalArial KN*@U D  @I$$-AB Z279KO<KP:@W1KQ</KR<KS0@NormalArial KT*@UPtP!@I$$-BC Z279KU<KV:@W1KW</KX<KY0@NormalArial KZ*@U"I$$-CA Z279K[<K\:@W1K]</K^<K_0@NormalArial K`@B@U0)[Ka@@ pKb@@ KaKc@@dKbTRcKd@@KbKe@@@KdKf@@{@KeKg@@KfVRabKh@@{KeKi@@KhKj@@dKiIRabcKk@@Ki2Kl@@KdKm@@dKlcosKn@@pKlKo@@KnKp@@@KoKq@@dKpargKr@@pKpKs@@KrKt@@dKsVRabKu@@Ks1iKv@@pKoKw@@KvKx@@@KwKy@@dKxargKz@@pKxK{@@KzK|@@dK{IRabcK}@@K{2K~@@KwMTAK@B@UHqK@@ pK@@KK@@dKTRcK@@KK@@+@K@XK@@KK*@UPuP#ﭭI%%-AG Z179K<K:@W1K</K<K0@NormalArial K*@U$ﭭI%%-BG Z179K<K:@W1K</K<K0@NormalArial K*@U%I%%-CG Z179K<K:@W1K</K<K0@NormalArial K*@U&I$$-AB Z179K<K:@W1K</K<K0@NormalArial K*@U D 'I$$-BC Z179K<K:@W1K</K<K0@NormalArial K*@UPtP(I$$-CA Z179K<K:@W1K</K<K0@NormalArial K*@U)I%%-AG Z279K<K:@W1K</K<K0@NormalArial K*@U*I%%-BG Z279K<K:@W1K</K<K0@NormalArial K*@U+I%%-CG Z279K<K:@W1K</K<K0@NormalArial K*@U D ,I$$-AB Z279K<K:@W1K</K<K0@NormalArial K*@UPtP-@I$$-BC Z279K<K:@W1K</K<K0@NormalArial K*@U.@I$$-CA Z279K<K:@W1K</K<K0@NormalArial K*@U% I-@I 1.6.5 Compute symmetrical component polarizing torque directional values7IK<K8K}K:@WL;L=L=1L?</L@<LA0@NormalArial LB*@UP!n!P!- mf=0.997 LC<LD8LBLE<LF8LBnArialLCLELE9 LG< LH:@W1LI</ LJ< LK0@NormalArial LL*@U!!!- mr=0.057 LM<LN8LLLO<LP8LLnArialLMLOLO9 LQ< LR:@W1LS</ LT< LU0@NormalArial LV@B@U!!P!^LW@@ pLX@@ LWLY@@dLXTI0SaLZ@@LXL[@@@LZL\@@{@L[L]@@L\L^@@dL]IS012L_@@L]0L`@@{L[La@@L`Lb@@dLaISabcLc@@La0Ld@@LZLe@@dLdcosLf@@pLdLg@@LfLh@@@LgLi@@dLhargLj@@pLhLk@@LjLl@@dLkIS012Lm@@Lk0Ln@@pLgLo@@LnLp@@@LoLq@@dLpargLr@@pLpLs@@LrLt@@dLsISabcLu@@Ls0Lv@@Lo0Lw@B@UH!!~!8Lx@@ pLy@@LxLz@@dLyTI0SaL{@@LyL|@@+@L{@XL}@@L{L~*@UP!u!P!I%%-AG Z279L<L:@W1L</L<L0@NormalArial L*@U!!!ﭭI%%-BG Z279L<L:@W1L</L<L0@NormalArial L*@U!!!ﭭI%%-CG Z279L<L:@W1L</L<L0@NormalArial L*@U!!!I$$-AB Z379L<L:@W1L</L<L0@NormalArial L*@U !D! !I$$-BC Z379L<L:@W1L</L<L0@NormalArial L*@UP!t!P!I$$-CA Z379L<L:@W1L</L<L0@NormalArial L*@U!!!I%%-AG Z379L<L:@W1L</L<L0@NormalArial L*@U !D! !I$$-AB Z379L<L:@W1L</L<L0@NormalArial L*@UP!t!P!I$$-BC Z379L<L:@W1L</L<L0@NormalArial L*@U!!!I$$-CA Z379L<L:@W1L</L<L0@NormalArial L@B@U";"I0"jL@@ pL@@ LL@@dLTI0SbL@@LL@@@LL@@{@LL@@LL@@dLIS012L@@L0L@@{LL@@LL@@dLISabcL@@L1L@@LL@@dLcosL@@pLL@@LL@@@LL@@dLargL@@pLL@@LL@@dLIS012L@@L0L@@pLL@@LL@@@LL@@dLargL@@pLL@@LL@@dLISabcL@@L1L@@L0L@B@U@"7"w0"9L@@ pL@@LL@@dLTI0SbL@@LL@@+@L@XL@@LL*@UH+"m;"H8"ﭭI%%-AG Z279L<L:@W1L</L<L0@NormalArial L*@Ux+";"x8"I%%-BG Z279L<L:@W1L</L<L0@NormalArial L*@U+";"8"ﭭI%%-CG Z279L<L:@W1L</L<L0@NormalArial L*@U+" ;"8" I$$-AB Z379L<L:@W1L</L<L0@NormalArial L*@U+"<;"8" I$$-BC Z379L<L:@W1L</L<L0@NormalArial M*@UH+"l;"H8" I$$-CA Z379M<M:@W1M</M<M0@NormalArial M*@U+";"8" I%%-BG Z379M<M:@W1M </M <M 0@NormalArial M *@U+"<;"8" I$$-AB Z379M <M:@W1M</M<M0@NormalArial M*@UH+"l;"H8"I$$-BC Z379M<M:@W1M</M<M0@NormalArial M*@Ux+";"x8"I$$-CA Z379M<M:@W1M</M<M0@NormalArial M@B@UW"s"Hh"M@@ pM @@ MM!@@dM TI0ScM"@@M M#@@@M"M$@@{@M#M%@@M$M&@@dM%IS012M'@@M%0M(@@{M#M)@@M(M*@@dM)ISabcM+@@M)2M,@@M"M-@@dM,cosM.@@pM,M/@@M.M0@@@M/M1@@dM0argM2@@pM0M3@@M2M4@@dM3IS012M5@@M30M6@@pM/M7@@M6M8@@@M7M9@@dM8argM:@@pM8M;@@M:M<@@dM;ISabcM=@@M;2M>@@M70M?@B@U@W"o"vh":M@@@ pMA@@M@MB@@dMATI0ScMC@@MAMD@@+@MC@XME@@MCMF*@UHc"ms"Hp"ﭭI%%-AG Z279MG<MH:@W1MI</MJ<MK0@NormalArial ML*@Uxc"s"xp"ﭭI%%-BG Z279MM<MN:@W1MO</MP<MQ0@NormalArial MR*@Uc"s"p"I%%-CG Z279MS<MT:@W1MU</MV<MW0@NormalArial MX*@Uc" s"p"I$$-AB Z379MY<MZ:@W1M[</M\<M]0@NormalArial M^*@Uc"<s"p"I$$-BC Z379M_<M`:@W1Ma</Mb<Mc0@NormalArial Md*@UHc"ls"Hp"I$$-CA Z379Me<Mf:@W1Mg</Mh<Mi0@NormalArial Mj*@Uc"s"p"I%%-CG Z379Mk<Ml:@W1Mm</Mn<Mo0@NormalArial Mp*@Uc"<s"p"I$$-AB Z379Mq<Mr:@W1Ms</Mt<Mu0@NormalArial Mv*@UHc"ls"Hp"I$$-BC Z379Mw<Mx:@W1My</Mz<M{0@NormalArial M|*@Uxc"s"xp"I$$-CA Z379M}<M~:@W1M</M<M0@NormalArial M@B@U" "J"M@@ pM@@ MM@@dMTI0RaM@@MM@@@MM@@{@MM@@MM@@dMIR012M@@M0M@@{MM@@MM@@dMIRabcM@@M0M@@MM@@dMcosM@@pMM@@MM@@@MM@@dMargM@@pMM@@MM@@dMIR012M@@M0M@@pMM@@MM@@@MM@@dMargM@@pMM@@MM@@dMIRabcM@@M0M@@M0M@B@U@""x";M@@ pM@@MM@@dMTI0RaM@@MM@@+@M@XM@@MM*@UH"m"H"I%%-AG Z179M<M:@W1M</M<M0@NormalArial M*@Ux""x"I%%-BG Z179M<M:@W1M</M<M0@NormalArial M*@U"""I%%-CG Z179M<M:@W1M</M<M0@NormalArial M*@U" ""I$$-AB Z279M<M:@W1M</M<M0@NormalArial M*@U"<""I$$-BC Z279M<M:@W1M</M<M0@NormalArial M*@UH"l"H"I$$-CA Z279M<M:@W1M</M<M0@NormalArial M*@Ux""x" I%%-AG Z279M<M:@W1M</M<M0@NormalArial M*@U"<""!I$$-AB Z279M<M:@W1M</M<M0@NormalArial M*@UH"l"H""I$$-BC Z279M<M:@W1M</M<M0@NormalArial M*@Ux""x"#I$$-CA Z279M<M:@W1M</M<M0@NormalArial M@B@U" "K"M@@ pM@@ MM@@dMTI0RbM@@MM@@@MM@@{@MM@@MM@@dMIR012M@@M0M@@{MM@@MM@@dMIRabcM@@M1M@@MM@@dMcosM@@pMM@@MM@@@MM@@dMargM@@pMM@@MM@@dMIR012M@@M0M@@pMM@@MN@@@MN@@dNargN@@pNN@@NN@@dNIRabcN@@N1N@@M0N@B@U@""y"<N@@ pN @@NN @@dN TI0RbN @@N N @@+@N @XN @@N N*@UH"m"H"$I%%-AG Z179N<N:@W1N</N<N0@NormalArial N*@Ux""x"%I%%-BG Z179N<N:@W1N</N<N0@NormalArial N*@U"""&I%%-CG Z179N<N:@W1N</N<N0@NormalArial N *@U" ""'I$$-AB Z279N!<N":@W1N#</N$<N%0@NormalArial N&*@U"<""(I$$-BC Z279N'<N(:@W1N)</N*<N+0@NormalArial N,*@UH"l"H")I$$-CA Z279N-<N.:@W1N/</N0<N10@NormalArial N2*@U"""*I%%-BG Z279N3<N4:@W1N5</N6<N70@NormalArial N8*@U"<""+I$$-AB Z279N9<N::@W1N;</N<<N=0@NormalArial N>*@UH"l"H",I$$-BC Z279N?<N@:@W1NA</NB<NC0@NormalArial ND*@Ux""x"-I$$-CA Z279NE<NF:@W1NG</NH<NI0@NormalArial NJ@B@U" #J"NK@@ pNL@@ NKNM@@dNLTI0RcNN@@NLNO@@@NNNP@@{@NONQ@@NPNR@@dNQIR012NS@@NQ0NT@@{NONU@@NTNV@@dNUIRabcNW@@NU2NX@@NNNY@@dNXcosNZ@@pNXN[@@NZN\@@@N[N]@@dN\argN^@@pN\N_@@N^N`@@dN_IR012Na@@N_0Nb@@pN[Nc@@NbNd@@@NcNe@@dNdargNf@@pNdNg@@NfNh@@dNgIRabcNi@@Ng2Nj@@Nc0Nk@B@U@""x"=Nl@@ pNm@@NlNn@@dNmTI0RcNo@@NmNp@@+@No@XNq@@NoNr*@UH"m#H#.I%%-AG Z179Ns<Nt:@W1Nu</Nv<Nw0@NormalArial Nx*@Ux"#x#/I%%-BG Z179Ny<Nz:@W1N{</N|<N}0@NormalArial N~*@U"##0I%%-CG Z179N<N:@W1N</N<N0@NormalArial N*@U" ##1I$$-AB Z279N<N:@W1N</N<N0@NormalArial N*@U"<##2I$$-BC Z279N<N:@W1N</N<N0@NormalArial N*@UH"l#H#3I$$-CA Z279N<N:@W1N</N<N0@NormalArial N*@U"##4I%%-CG Z279N<N:@W1N</N<N0@NormalArial N*@U"<##5I$$-AB Z279N<N:@W1N</N<N0@NormalArial N*@UH"l#H#6I$$-BC Z279N<N:@W1N</N<N0@NormalArial N*@Ux"#x#7I$$-CA Z279N<N:@W1N</N<N0@NormalArial N*@U###`-@L 1.6.5.3 Compute zero sequence voltage polarized torque values Relay S and R7LN<N8N}N0@NormalArial O?*@U83$\C$8@$I$$-AB Z379O@<OA:@W1OB</OC<OD0@NormalArial OE*@Uh3$C$h@$I$$-BC Z379OF<OG:@W1OH</OI<OJ0@NormalArial OK*@U3$C$@$I$$-CA Z379OL<OM:@W1ON</OO<OP0@NormalArial OQ@B@U_${$Hp$OR@@ pOS@@ OROT@@dOSTV0SbOU@@OSOV@@@OUOW@@K@OVOX@@{OWOY@@OXOZ@@dOYVS012O[@@OY0O\@@{OVO]@@O\O^@@dO]ISabcO_@@O]1O`@@OUOa@@dO`cosOb@@pO`Oc@@ObOd@@@OcOe@@dOdargOf@@pOdOg@@OfOh@@dOgVS012Oi@@Og0Oj@@pOcOk@@OjOl@@@OkOm@@dOlargOn@@pOlOo@@OnOp@@dOoISabcOq@@Oo1Or@@Ok0Os@B@UP_$w$p$Ot@@ pOu@@OtOv@@dOuTV0SbOw@@OuOx@@+@Ow@XOy@@OwOz*@U`c$s$`p$ﭭI%%-AG Z279O{<O|:@W1O}</O~<O0@NormalArial O*@Uc$s$p$@I%%-BG Z279O<O:@W1O</O<O0@NormalArial O*@Uc$s$p$樂I%%-CG Z279O<O:@W1O</O<O0@NormalArial O*@Uc$$s$p$I$$-AB Z279O<O:@W1O</O<O0@NormalArial O*@U0c$Ts$0p$I$$-BC Z279O<O:@W1O</O<O0@NormalArial O*@U`c$s$`p$I$$-CA Z379O<O:@W1O</O<O0@NormalArial O*@Uc$s$p$樂I%%-AG Z379O<O:@W1O</O<O0@NormalArial O*@Uc$s$p$@I%%-BG Z379O<O:@W1O</O<O0@NormalArial O*@Uc$-s$p$樂I%%-CG Z379O<O:@W1O</O<O0@NormalArial O*@U8c$\s$8p$I$$-AB Z379O<O:@W1O</O<O0@NormalArial O*@Uhc$s$hp$I$$-BC Z379O<O:@W1O</O<O0@NormalArial O*@Uc$s$p$I$$-CA Z379O<O:@W1O</O<O0@NormalArial O@B@U$$G$O@@ pO@@ OO@@dOTV0ScO@@OO@@@OO@@K@OO@@{OO@@OO@@dOVS012O@@O0O@@{OO@@OO@@dOISabcO@@O2O@@OO@@dOcosO@@pOO@@OO@@@OO@@dOargO@@pOO@@OO@@dOVS012O@@O0O@@pOO@@OO@@@OO@@dOargO@@pOO@@OO@@dOISabcO@@O2O@@O0O@B@UP$$$O@@ pO@@OO@@dOTV0ScO@@OO@@+@O@XO@@OO*@U`$$`$ﭭI%%-AG Z279O<O:@W1O</O<O0@NormalArial O*@U$$$樂I%%-BG Z279O<O:@W1O</O<O0@NormalArial O*@U$$$I%%-CG Z279O<O:@W1O</O<O0@NormalArial O*@U$$$$I$$-AB Z279O<O:@W1P</P<P0@NormalArial P*@U0$T$0$I$$-BC Z279P<P:@W1P</P<P0@NormalArial P *@U`$$`$I$$-CA Z379P <P :@W1P </P <P0@NormalArial P*@U$$$樂I%%-AG Z379P<P:@W1P</P<P0@NormalArial P*@U$$$樂I%%-BG Z379P<P:@W1P</P<P0@NormalArial P*@U$-$$@I%%-CG Z379P<P:@W1P</P<P 0@NormalArial P!*@U8$\$8$I$$-AB Z379P"<P#:@W1P$</P%<P&0@NormalArial P'*@Uh$$h$I$$-BC Z379P(<P):@W1P*</P+<P,0@NormalArial P-*@U$$$I$$-CA Z379P.<P/:@W1P0</P1<P20@NormalArial P3@B@U$!$I$)P4@@ pP5@@ P4P6@@dP5TV0RaP7@@P5P8@@@P7P9@@K@P8P:@@{P9P;@@P:P<@@dP;VR012P=@@P;0P>@@{P8P?@@P>P@@@dP?IRabcPA@@P?0PB@@P7PC@@dPBcosPD@@pPBPE@@PDPF@@@PEPG@@dPFargPH@@pPFPI@@PHPJ@@dPIVR012PK@@PI0PL@@pPEPM@@PLPN@@@PMPO@@dPNargPP@@pPNPQ@@PPPR@@dPQIRabcPS@@PQ0PT@@PM0PU@B@UP$$$PV@@ pPW@@PVPX@@dPWTV0RaPY@@PWPZ@@+@PY@XP[@@PYP\*@U`$$`$I%%-AG Z179P]<P^:@W1P_</P`<Pa0@NormalArial Pb*@U$$$I%%-BG Z179Pc<Pd:@W1Pe</Pf<Pg0@NormalArial Ph*@U$$$I%%-CG Z179Pi<Pj:@W1Pk</Pl<Pm0@NormalArial Pn*@U$$$$I$$-AB Z179Po<Pp:@W1Pq</Pr<Ps0@NormalArial Pt*@U0$T$0$I$$-BC Z179Pu<Pv:@W1Pw</Px<Py0@NormalArial Pz*@U`$$`$I$$-CA Z279P{<P|:@W1P}</P~<P0@NormalArial P*@U$$$I%%-AG Z279P<P:@W1P</P<P0@NormalArial P*@U$$$樂I%%-BG Z279P<P:@W1P</P<P0@NormalArial P*@U$-$$樂I%%-CG Z279P<P:@W1P</P<P0@NormalArial P*@U8$\$8$I$$-AB Z279P<P:@W1P</P<P0@NormalArial P*@Uh$$h$I$$-BC Z279P<P:@W1P</P<P0@NormalArial P*@U$$$I$$-CA Z279P<P:@W1P</P<P0@NormalArial P@B@U$"%J%SP@@ pP@@ PP@@dPTV0RbP@@PP@@@PP@@K@PP@@{PP@@PP@@dPVR012P@@P0P@@{PP@@PP@@dPIRabcP@@P1P@@PP@@dPcosP@@pPP@@PP@@@PP@@dPargP@@pPP@@PP@@dPVR012P@@P0P@@pPP@@PP@@@PP@@dPargP@@pPP@@PP@@dPIRabcP@@P1P@@P0P@B@UP$%%P@@ pP@@PP@@dPTV0RbP@@PP@@+@P@XP@@PP*@U`$ %`%I%%-AG Z179P<P:@W1P</P<P0@NormalArial P*@U$ %%@I%%-BG Z179P<P:@W1P</P<P0@NormalArial P*@U$ %%I%%-CG Z179P<P:@W1P</P<P0@NormalArial P*@U$$ %%I$$-AB Z179P<P:@W1P</P<P0@NormalArial P*@U0$T %0%I$$-BC Z179P<P:@W1P</P<P0@NormalArial P*@U`$ %`%I$$-CA Z279P<P:@W1P</P<P0@NormalArial P*@U$ %%樂I%%-AG Z279P<P:@W1P</P<P0@NormalArial P*@U$ %%@I%%-BG Z279P<P:@W1P</P<P0@NormalArial P*@U$- %%樂I%%-CG Z279P<P:@W1Q</Q<Q0@NormalArial Q*@U8$\ %8%I$$-AB Z279Q<Q:@W1Q</Q<Q0@NormalArial Q *@Uh$ %h%I$$-BC Z279Q <Q :@W1Q </Q <Q0@NormalArial Q*@U$ %%I$$-CA Z279Q<Q:@W1Q</Q<Q0@NormalArial Q@B@U%!;%I0%oQ@@ pQ@@ QQ@@dQTV0RcQ@@QQ@@@QQ@@K@QQ@@{QQ@@QQ@@dQVR012Q@@Q0Q @@{QQ!@@Q Q"@@dQ!IRabcQ#@@Q!2Q$@@QQ%@@dQ$cosQ&@@pQ$Q'@@Q&Q(@@@Q'Q)@@dQ(argQ*@@pQ(Q+@@Q*Q,@@dQ+VR012Q-@@Q+0Q.@@pQ'Q/@@Q.Q0@@@Q/Q1@@dQ0argQ2@@pQ0Q3@@Q2Q4@@dQ3IRabcQ5@@Q32Q6@@Q/0Q7@B@UP%7%0%Q8@@ pQ9@@Q8Q:@@dQ9TV0RcQ;@@Q9Q<@@+@Q;@XQ=@@Q;Q>*@U`#%3%`0%I%%-AG Z179Q?<Q@:@W1QA</QB<QC0@NormalArial QD*@U#%3%0%I%%-BG Z179QE<QF:@W1QG</QH<QI0@NormalArial QJ*@U#%3%0%I%%-CG Z179QK<QL:@W1QM</QN<QO0@NormalArial QP*@U#%$3%0%I$$-AB Z179QQ<QR:@W1QS</QT<QU0@NormalArial QV*@U0#%T3%00%I$$-BC Z179QW<QX:@W1QY</QZ<Q[0@NormalArial Q\*@U`#%3%`0%I$$-CA Z279Q]<Q^:@W1Q_</Q`<Qa0@NormalArial Qb*@U#%3%0%樂I%%-AG Z279Qc<Qd:@W1Qe</Qf<Qg0@NormalArial Qh*@U#%3%0%樂I%%-BG Z279Qi<Qj:@W1Qk</Ql<Qm0@NormalArial Qn*@U#%-3%0%@I%%-CG Z279Qo<Qp:@W1Qq</Qr<Qs0@NormalArial Qt*@U8#%\3%80%I$$-AB Z279Qu<Qv:@W1Qw</Qx<Qy0@NormalArial Qz*@Uh#%3%h0%I$$-BC Z279Q{<Q|:@W1Q}</Q~<Q0@NormalArial Q*@U#%3%0%I$$-CA Z279Q<Q:@W1Q</Q<Q0@NormalArial Q*@U%,%% -@O1.6.5.4 Compute negative sequence current polarized torque values Relay S and R7HGOQ@@pR<R?@@R>R@@@dR?IS012RA@@R?2RB@@pR;RC@@RBRD@@@RCRE@@dRDargRF@@pRDRG@@RFRH@@@RGRI@@dRHaRJ@@RH2RK@@RGRL@@dRKISabcRM@@RK1RN@@RC0RO@B@U8&'o'1RP@@ pRQ@@RPRR@@dRQTI2SbRS@@RQRT@@+@RS@XRU@@RSRV*@UX&} 'X'2I%%-AG Z279RW<RX:@W1RY</RZ<R[0@NormalArial R\*@U& ''3@I%%-BG Z279R]<R^:@W1R_</R`<Ra0@NormalArial Rb*@U& ''4I%%-CG Z279Rc<Rd:@W1Re</Rf<Rg0@NormalArial Rh*@U&$ ''5I$$-AB Z279Ri<Rj:@W1Rk</Rl<Rm0@NormalArial Rn*@U0&T '0'6@I$$-BC Z379Ro<Rp:@W1Rq</Rr<Rs0@NormalArial Rt*@U`& '`'7I$$-CA Z379Ru<Rv:@W1Rw</Rx<Ry0@NormalArial Rz*@U& ''8I%%-AG Z379R{<R|:@W1R}</R~<R0@NormalArial R*@U& ''9I%%-BG Z379R<R:@W1R</R<R0@NormalArial R*@U&- '':I%%-CG Z379R<R:@W1R</R<R0@NormalArial R*@U@&d '@';I$$-AB Z379R<R:@W1R</R<R0@NormalArial R*@Up& 'p'<I$$-BC Z379R<R:@W1R</R<R0@NormalArial R*@U& ''=I$$-CA Z379R<R:@W1R</R<R0@NormalArial R@B@U/'K'@@'>R@@ pR@@ RR@@dRTI2ScR@@RR@@@RR@@{@RR@@RR@@dRIS012R@@R2R@@{RR@@RR@@dRISabcR@@R2R@@RR@@dRcosR@@pRR@@RR@@@RR@@dRargR@@pRR@@RR@@dRIS012R@@R2R@@pRR@@RR@@@RR@@dRargR@@pRR@@RR@@dRaR@@RR@@dRISabcR@@R2R@@R0R@B@U8/'G'n@'?R@@ pR@@RR@@dRTI2ScR@@RR@@+@R@XR@@RR*@UX3'}C'X@'@I%%-AG Z279R<R:@W1R</R<R0@NormalArial R*@U3'C'@'AI%%-BG Z279R<R:@W1R</R<R0@NormalArial R*@U3'C'@'B@I%%-CG Z279R<R:@W1R</R<R0@NormalArial R*@U3'$C'@'CI$$-AB Z279R<R:@W1R</R<R0@NormalArial R*@U03'TC'0@'D@I$$-BC Z379R<R:@W1R</R<R0@NormalArial R*@U`3'C'`@'E@I$$-CA Z379R<R:@W1R</R<R0@NormalArial R*@U3'C'@'FI%%-AG Z379R<R:@W1R</R<R0@NormalArial R*@U3'C'@'GI%%-BG Z379R<R:@W1R</R<R0@NormalArial R*@U3'-C'@'HI%%-CG Z379R<R:@W1R</R<R0@NormalArial R*@U@3'dC'@@'II$$-AB Z379R<S:@W1S</S<S0@NormalArial S*@Up3'C'p@'JI$$-BC Z379S<S:@W1S</S<S 0@NormalArial S *@U3'C'@'KI$$-CA Z379S <S :@W1S </S<S0@NormalArial S@B@UW's'Bh'LS@@ pS@@ SS@@dSTI2RaS@@SS@@@SS@@{@SS@@SS@@dSIR012S@@S2S@@{SS@@SS@@dSIRabcS@@S0S@@SS@@dScosS @@pSS!@@S S"@@@S!S#@@dS"argS$@@pS"S%@@S$S&@@dS%IR012S'@@S%2S(@@pS!S)@@S(S*@@dS)argS+@@pS)S,@@S+S-@@dS,IRabcS.@@S,0S/@B@U8W'o'ph'MS0@@ pS1@@S0S2@@dS1TI2RaS3@@S1S4@@+@S3@XS5@@S3S6*@UX['}k'Xh'NI%%-AG Z179S7<S8:@W1S9</S:<S;0@NormalArial S<*@U['k'h'O樂I%%-BG Z179S=<S>:@W1S?</S@<SA0@NormalArial SB*@U['k'h'PﭭI%%-CG Z179SC<SD:@W1SE</SF<SG0@NormalArial SH*@U['$k'h'QI$$-AB Z179SI<SJ:@W1SK</SL<SM0@NormalArial SN*@U0['Tk'0h'RI$$-BC Z279SO<SP:@W1SQ</SR<SS0@NormalArial ST*@U`['k'`h'S@I$$-CA Z279SU<SV:@W1SW</SX<SY0@NormalArial SZ*@U['k'h'TI%%-AG Z279S[<S\:@W1S]</S^<S_0@NormalArial S`*@U['k'h'UI%%-BG Z279Sa<Sb:@W1Sc</Sd<Se0@NormalArial Sf*@U['-k'h'VI%%-CG Z279Sg<Sh:@W1Si</Sj<Sk0@NormalArial Sl*@U@['dk'@h'WI$$-AB Z279Sm<Sn:@W1So</Sp<Sq0@NormalArial Sr*@Up['k'ph'XI$$-BC Z279Ss<St:@W1Su</Sv<Sw0@NormalArial Sx*@U['k'h'YI$$-CA Z279Sy<Sz:@W1S{</S|<S}0@NormalArial S~@B@U''C'ZS@@ pS@@ SS@@dSTI2RbS@@SS@@@SS@@{@SS@@SS@@dSIR012S@@S2S@@{SS@@SS@@dSIRabcS@@S1S@@SS@@dScosS@@pSS@@SS@@@SS@@dSargS@@pSS@@SS@@dSIR012S@@S2S@@pSS@@SS@@dSargS@@pSS@@SS@@dSaS@@SS@@dSIRabcS@@S1S@B@U8''q'[S@@ pS@@SS@@dSTI2RbS@@SS@@+@S@XS@@SS*@UX'}'X'\㷰I%%-AG Z179S<S:@W1S</S<S0@NormalArial S*@U''']@I%%-BG Z179S<S:@W1S</S<S0@NormalArial S*@U'''^ﭭI%%-CG Z179S<S:@W1S</S<S0@NormalArial S*@U'$''_@I$$-AB Z179S<S:@W1S</S<S0@NormalArial S*@U0'T'0'`@I$$-BC Z279S<S:@W1S</S<S0@NormalArial S*@U`''`'aI$$-CA Z279S<S:@W1S</S<S0@NormalArial S*@U'''bI%%-AG Z279S<S:@W1S</S<S0@NormalArial S*@U'''cI%%-BG Z279S<S:@W1S</S<S0@NormalArial S*@U'-''dI%%-CG Z279S<S:@W1S</S<S0@NormalArial S*@U@'d'@'eI$$-AB Z279S<S:@W1S</S<S0@NormalArial S*@Up''p'fI$$-BC Z279S<S:@W1S</S<S0@NormalArial S*@U'''gI$$-CA Z279S<S:@W1S</S<S0@NormalArial S@B@U''B'hS@@ pS@@ SS@@dSTI2RcS@@SS@@@SS@@{@SS@@SS@@dSIR012S@@S2S@@{SS@@SS@@dSIRabcS@@S2S@@SS@@dScosS@@pSS@@ST@@@ST@@dTargT@@pTT@@TT@@dTIR012T@@T2T@@pST@@TT@@dTargT @@pTT @@T T @@@T T @@dT aT @@T 2T@@T T@@dTIRabcT@@T2T@B@U8''p'iT@@ pT@@TT@@dTTI2RcT@@TT@@+@T@XT@@TT*@UX'}'X'j㷰I%%-AG Z179T<T:@W1T</T<T0@NormalArial T*@U'''k㷰I%%-BG Z179T<T :@W1T!</T"<T#0@NormalArial T$*@U'''l@I%%-CG Z179T%<T&:@W1T'</T(<T)0@NormalArial T**@U'$''mI$$-AB Z179T+<T,:@W1T-</T.<T/0@NormalArial T0*@U0'T'0'n@I$$-BC Z279T1<T2:@W1T3</T4<T50@NormalArial T6*@U`''`'o@I$$-CA Z279T7<T8:@W1T9</T:<T;0@NormalArial T<*@U'''pI%%-AG Z279T=<T>:@W1T?</T@<TA0@NormalArial TB*@U'''qI%%-BG Z279TC<TD:@W1TE</TF<TG0@NormalArial TH*@U'-''rI%%-CG Z279TI<TJ:@W1TK</TL<TM0@NormalArial TN*@U@'d'@'sI$$-AB Z279TO<TP:@W1TQ</TR<TS0@NormalArial TT*@Up''p'tI$$-BC Z279TU<TV:@W1TW</TX<TY0@NormalArial TZ*@U'''uI$$-CA Z279T[<T\:@W1T]</T^<T_0@NormalArial T`*@U(4(0(a-@O1.6.5.4 Compute negative sequence voltage polarized torque values Relay S and R7OTa(O(zT@@ pT@@ TT@@dTTV2SaT@@TT@@@TT@@K@TT@@{TT@@TT@@dTVS012T@@T2T@@{TT@@TT@@dTISabcT@@T0T@@TT@@dTcosT@@pTT@@TT@@@TT@@dTargT@@pTT@@TT@@dTVS012T@@T2T@@pTT@@TT@@@TT@@dTargT@@pTT@@TT@@dTISabcT@@T0T@@TMTAT@B@U("(({T@@ pT@@TT@@dTTV2SaT@@TT@@+@T@XT@@TT*@UX(}(X(|I%%-AG Z179T<T:@W1T</T<T0@NormalArial T*@U(((}I%%-BG Z379T<T:@W1T</T<T0@NormalArial T*@U(((~I%%-CG Z279T<T:@W1T</T<T0@NormalArial T*@U(((I$$-AB Z379T<T:@W1T</T<T0@NormalArial T*@U((L(((I$$-BC Z379T<T:@W1T</T<T0@NormalArial T*@UX(|(X(I$$-CA Z379T<T:@W1T</T<T0@NormalArial T*@U(((I%%-AG Z379T<T:@W1T</T<T0@NormalArial T*@U(((I$$-CA Z379T<T:@W1T</T<T0@NormalArial T*@U(((I%%-BG Z379T<T:@W1T</T<T0@NormalArial T*@U(((I%%-CG Z379T<T:@W1T</T<T0@NormalArial T*@U0(T(0(I$$-AB Z379T<T:@W1T</T<T0@NormalArial T*@U`((`(I$$-BC Z379U<U:@W1U</U<U0@NormalArial U@B@U(S)H)U@@ pU@@ UU@@dUTV2SbU @@UU @@@U U @@K@U U @@{U U @@U U@@dU VS012U@@U 2U@@{U U@@UU@@dUISabcU@@U1U@@U U@@dUcosU@@pUU@@UU@@@UU@@dUargU@@pUU@@UU@@p@UU@@UU@@dUaU@@UVS012U @@U2U!@@pUU"@@U!U#@@@U"U$@@dU#argU%@@pU#U&@@U%U'@@dU&ISabcU(@@U&1U)@@U"MTAU*@B@U())U+@@ pU,@@U+U-@@dU,TV2SbU.@@U,U/@@+@U.@XU0@@U.U1*@UP(u)P)I%%-AG Z179U2<U3:@W1U4</U5<U60@NormalArial U7*@U())I%%-BG Z379U8<U9:@W1U:</U;<U<0@NormalArial U=*@U())I%%-CG Z279U><U?:@W1U@</UA<UB0@NormalArial UC*@U())I$$-AB Z379UD<UE:@W1UF</UG<UH0@NormalArial UI*@U (D) )I$$-BC Z379UJ<UK:@W?1UL</UM<UN0@NormalArial UO*@UP(t)P)ﭭI$$-CA Z379UP<UQ:@W1UR</US<UT0@NormalArial UU*@U())I%%-AG Z379UV<UW:@W1UX</UY<UZ0@NormalArial U[*@U())I$$-CA Z379U\<U]:@W1U^</U_<U`0@NormalArial Ua*@U())I%%-BG Z379Ub<Uc:@W1Ud</Ue<Uf0@NormalArial Ug*@U())I%%-CG Z379Uh<Ui:@W1Uj</Uk<Ul0@NormalArial Um*@U((L)()I$$-AB Z379Un<Uo:@W1Up</Uq<Ur0@NormalArial Us*@UX(|)X)I$$-BC Z379Ut<Uu:@W?1Uv</Uw<Ux0@NormalArial Uy@B@U)LC)G8)Uz@@ pU{@@ 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Guzman, J. Roberts, and D. Hou. 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