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Arial-  2 TG- 2 4+-- Arial--.-  2 1A-- Arial--.-  2 2A--  Arial--.- 2 .Line 2G!GA!A-- Arial- -.- 2 Line 1G!GA!A- -%-- -%22-- -%j-- -%2j2--- Arial--.-  2 3A-- Arial--.-  2 E5A--  Arial- -.-   2 E 6A--   Arial- -.-   2 4A-NANIeqRegionA@Tl>tree? p? ?dMVA??@?@?t10?6?V?A @A@T?!? p"? !#?d"j$?{"%?K$&?%1'*@T;,+H:-7G: T1: T2: T3: T4: M: Load Line:678217(;)9*;+9(,;!-9*.;/9,0;19.2;3904;5924206;.77;78/@NormalArial 9@A@T@<RqH:? p;? :?t=90??=MVA@@@A@T<3R H @A? p@B? @A@C?d@BV.baseG@D?@B@E?t@D22@F?@DkV@G@A@T`<RzH @H? p@I? @H@J?d@IX.G@K?@I0.18@L@A@T@dzwp@M? p@N? @M@O?d@N S.baseT1@P?@N@Q?t@P50@R?@PMVA@S@A@Td<zp @T? p@U? @T@V?d@U V.baseT1L@W?5@U@X?t@W22@Y?@WkV@Z@A@T`dzp@[? p@\? @[@]?d@\X.T1@^?@\0.10@_@A@TD@`? p@a? @`@b?d@a V.baseT1H@c?5@a@d?t@c220@e?@ckV@f@A@T@w@g? p@h? @g@i?d@h S.baseT2@j?@h@k?t@j40@l?@jMVA@m@A@T<@n? p@o? @n@p?d@o V.baseT2L@q?5@o@r?t@q11@s?@qkV@t@A@T`@u? p@v? @u@w?d@vX.T2@x?@v0.060@y@A@TD@z? p@{? @z@|?d@{ V.baseT2H@}?5@{@~?t@}220@?@}kV@@A@T@ "w@? p@? @@?d@ S.baseT3@?@@?t@40@?@MVA@@A@T <")@? p@? @@?d@ V.baseT3L@?5@@?t@22@?@kV@@A@T` "*@? p@? @@?d@X.T3@?@0.064@@A@T4DJ@+@? p@? @@?d@ V.baseT3H@?5@@?t@110@?@kV@@A@T@\rwh@? p@? @@?d@ S.baseT4@?@@?t@40@?@MVA@@A@T\<rh-@? p@? @@?d@ V.baseT4L@?5@@?t@11@?@kV@@A@T`\rh.@? p@? @@?d@X.T4@?@0.080@@A@TD/@? p@? @@?d@ V.baseT4H@?5@@?t@110@?@kV@@A@TF6@? p@? @@?d@V.baseM@?@@?t@10.45@?@kV@@A@T`~7@? p@? @@?d@X.M@?@0.185@@A@TH}@? p@? @@?d@S.baseM@?5@@?t@66.5@?@MVA@@A@TH_@? p@? @@?d@S.L@?5@@?t@57@?@MVA@@A@T,@? p@? @@?d@V.L@?5@@?t@10.45@?@kV@@A@Tp @? p@? @@?d@pf.L@?@0.6@*@T!---lagging 68@;@90@;.@;@/@NormalArial @@A@TH0q("@? p@? @@?d@X.line1@?@@?t@48.4@?@ohm@@A@TR0 (#@? p@? @@?d@X.line2@?@@?t@65.43@?@ohm@*@TK:[X222-@OFind base impedances of each item. We need find only one for each transformer.6O8O@;O@90@;.O@;O@/@NormalArial @@A@Tpz?@? p@? @@?d@Z.baseG@?@@?@@@?d@V.baseG@?@2@?@S.baseG@@A@T@? p@?@A?d@Z.baseGA?@A?+@ASerial_DisplayNodeWA?AA@A@TKA? pA? AA?dA Z.baseT1LA?AA ?@AA ?dA V.baseT1LA ?A 2A ?A S.baseT1A @A@T! A? pA?AA?dA Z.baseT1LA?AA?+@A@WA?AA@A@T3M A? pA? AA?dA Z.baseT2HA?AA?@AA?dA V.baseT2HA?A2A?A S.baseT2A@A@T#(  A? pA?AA ?dA Z.baseT2HA!?AA"?+@A!@WA#?A!A$@A@TH{MhA%? pA&? A%A'?dA& Z.baseT3HA(?A&A)?@A(A*?dA) V.baseT3HA+?A)2A,?A( S.baseT3A-@A@T\#p hA.? pA/?A.A0?dA/ Z.baseT3HA1?A/A2?+@A1@WA3?A1A4@A@TKA5? pA6? A5A7?dA6 Z.baseT4LA8?A6A9?@A8A:?dA9 V.baseT4LA;?A92A? pA??A>A@?dA? Z.baseT4LAA?A?AB?+@AA@WAC?AAAD@A@TBAE? pAF? AEAG?dAFZ.baseMAH?AFAI?@AHAJ?dAIV.baseMAK?AI2AL?AHS.baseMAM@A@TAN? pAO?ANAP?dAOZ.baseMAQ?AOAR?+@AQ@WAS?AQAT*@TCJsP@::0:0-A First, we write out a consistent set of bases. The power base is given as 100MVA throughout. The voltage base is given as 22kV at the generator. Therefore, the voltage base at bus 1 is 22kV as given. The transformer turns ratio gives the voltage bases as follows:6 8 AU; AV90AW;. AX; AY/@NormalArial AZ@A@T~7tA[? pA\? A[A]?dA\S.BaseA^?A\A_?tA^100A`?A^MVAAa@A@T\7WAb? pAc? AbAd?dAcV.B1Ae?5AcAf?tAe22Ag?AekVAh@A@TxwAi? pAj? AiAk?dAjZ.B1Al?AjAm?@AlAn?dAmV.B1Ao?Am2Ap?AlS.BaseAq@A@TxAr? pAs?ArAt?dAsZ.B1Au?AsAv?+@Au@WAw?AuAx@A@T#7XAy? pAz? AyA{?dAzV.B2A|?AzA}?dA|V.B1A~?pA|A?A~A?dA V.baseT1HA?A V.baseT1LA@A@T=hA? pA?AA?dAV.B2A?AA?+@A@WA?AkVA@A@Tx#}A? pA? AA?dAZ.B2A?AA?@AA?dAV.B2A?A2A?AS.BaseA@A@T~A? pA?AA?dAZ.B2A?AA?+@A@WA?AA@A@T<XP7HZA? pA? AA?dAV.B3A?AV.B2A@A@T<=PHiA? pA?AA?dAV.B3A?AA?+@A@WA?AkVA@A@Tx([HA? pA? AA?dAZ.B3A?AA?@AA?dAV.B3A?A2A?AS.BaseA@A@T<PHA? pA?AA?dAZ.B3A?AA?+@A@WA?AA@A@Tx7^A? pA? AA?dAV.B4A?AA?dAV.B3A?pAA?AA?dA V.baseT2LA?A V.baseT2HA@A@T=jA? pA?AA?dAV.B4A?AA?+@A@WA?AkVA@A@TxxA? pA? AA?dAZ.B4A?AA?@AA?dAV.B4A?A2A?AS.BaseA@A@TA? pA?AA?dAZ.B4A?AA?+@A@WA?AA@A@T7`A? pA? AA?dAV.B5A?AA?dAV.B1A?pAA?AA?dA V.baseT3HA?A V.baseT3LA@A@T=kA? pA?AA?dAV.B5A?AA?+@A@WA?AkVA@A@TxA? pA? AA?dAZ.B5A?AA?@AA?dAV.B5A?A2A?AS.BaseA@A@TA? pA?AA?dAZ.B5A?AA?+@A@WA?AA@A@TX7bA? pA? AA?dAV.B6A?AV.B5A@A@T=lA? pA?AA?dAV.B6B?AB?+@B@WB?BkVB@A@Tx#B? pB? BB?dBZ.B6B?BB?@BB ?dBV.B6B ?B2B ?BS.BaseB @A@TB ? pB?B B?dBZ.B6B?BB?+@B@WB?BB*@TCS$Pn:-!Second, we set up the impedances:6!8!B;!B90B;.!B;!B/@NormalArial B@A@Th~+oB? pB? BB?dBX.GB?BB?dBX.GB?BB ?dBZ.baseGB!?BZ.B1B"@A@Tt1B#? pB$?B#B%?dB$X.GB&?B$B'?+@B&@WB(?B&B)@A@T0B*? pB+? B*B,?dB+X.T1B-?B+B.?dB-X.T1B/?B-B0?dB/ Z.baseT1LB1?B/Z.B1B2@A@T6B3? pB4?B3B5?dB4X.T1B6?B4B7?+@B6@WB8?B6B9@A@T0B:? pB;? B:B?dB=X.T2B??B=B@?dB? Z.baseT2HBA?B?Z.B2BB@A@T6BC? pBD?BCBE?dBDX.T2BF?BDBG?+@BF@WBH?BFBI@A@T(S0@BJ? pBK? BJBL?dBKX.T3BM?BKBN?dBMX.T3BO?BMBP?dBO Z.baseT3HBQ?BOZ.B5BR@A@T46H@BS? pBT?BSBU?dBTX.T3BV?BTBW?+@BV@WBX?BVBY@A@Th0BZ? pB[? BZB\?dB[X.T4B]?B[B^?dB]X.T4B_?B]B`?dB_ Z.baseT4LBa?B_Z.B4Bb@A@Tt6Bc? pBd?BcBe?dBdX.T4Bf?BdBg?+@Bf@WBh?BfBi@A@T6Bj? pBk? BjBl?dBkX.MBm?BkBn?dBmX.MBo?BmBp?dBoZ.baseMBq?BoZ.B4Br@A@T<$Bs? pBt?BsBu?dBtX.MBv?BtBw?+@Bv@WBx?BvBy*@T  :-@MLine impedances will be expressed on ZB2 and ZB5. They are found as follows:6M8MBz;MB{90B|;.MB};MB~/@NormalArial B*@T <+ '( 2$$-Given 68B;B90B;.B;B/@NormalArial B@A@T` 0 ( B? pB?BB?dBX.line1B?BB?+@B@WB?BB@A@T G0 /( B? pB?BB?dBX.line2B?BB?+@B@WB?BB*@T K G[ +X *''-Line 1:68B;B90B;.B;B/@NormalArial B@A@T`@ k X B? pB? BB?dBX.line1B?BB?dBX.line1B?BZ.B2B@A@TL G` /X B? pB?BB?dBX.line1B?BB?+@B@WB?BB*@T G + *''-Line 2:68B;B90B;.B;B/@NormalArial B@A@T` B? pB? BB?dBX.line2B?BB?dBX.line2B?BZ.B5B@A@T G / B? pB?BB?dBX.line2B?BB?+@B@WB?BB*@T  2--The load is expressed in per unit as follows:6-8-B;-B90B;.-B;-B/@NormalArial B@A@T ] - B? pB?BB?dBS.LB?BB?+@B@WB?BMVAB@A@T   B? pB?BB?dBV.LB?BB?+@B@WB?BkVB@A@T8 l T B? pB?BB?dBpf.LB?BB?+@B@WB?BB@A@T83 H I@ B? pB? BB?dB\qB?BB?dBacosB?pBB?Bpf.LB@A@T3 E @ B? pB?BB?dB\qB?BB?+@B@WB?BdegB@A@TX | 0x $B? pB? BB?dBZ.LB?BB?@BB?dBV.LB?B2B?BB?p@BB?BB?dBS.LB?BB?dBeB?BB?dBjB?B\qB@A@Tl x %B? pB?BB?dBZ.LB?BB?+@B@WB?BB@A@T U 0 &B? pB? BC?dBZ.LC?BC?dCZ.LC?CZ.B4C@A@T 'C? pC?CC?dCZ.LC?CC ?+@C@WC ?CC @T B0  Xllࡱ> nHm  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklpqrstuvwxyz{|}~Root EntryF`qy1CompObjqVisioDocumentSummaryInformation(IF  FMicrosoft Visio DrawingVISIO 6.0 ShapesVisio.Drawing.69q՜.+,D՜.+, @HP\h t   PagesMastersPage-1 Inductor Resistor8_VPID_PREVIEWS_VPIVisio (TM) Drawing ,*g|Rd !fffMMM333$ $ U8@ Td Arial@NTimes New Roman@F "X NWingds@ Monotype Sort NSymbol5T?? 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