电力系统分析中国电力出版社苏小林闫晓霞版

第一章1-1 解： GkV10T2T20k10kV3510k63T4发电机 G 额定电压： 105.K变压器额定变比： 6.351T10.T 5.38:120)35(:)10(:2.4/52431 1-2解：(1)：发电机 G：10.5KV变压器高低压侧额定电压：135.05.381.05.123(2) 变压器实际变比： 125%)(T24.0%)(T31 1-3解：日用电量：日平均负荷：)MWh(204742098041284527W)MW(0Pav负荷率： 708.12maxv最小负荷率： 41.5Paxin1-4 解： )h(528)76030620(WTmaxa 第二章2-1 解：线路长度为65km，属短线路，不计分布性参数 )S(1075.6107.2 39245)(8S/km107.lg58.7)/(425l140 )m(5.79106)k/(05.34116631 lbBxXrRDbrxSrmbcabm等效电路：39.j8.S1075.42-2 解：(1) 不计分布性参数 )S(107.4210975.3 )(836 )S/km(10975.10lg58.7 )km/(279.0415.38.759lg4l4 3806213)(.0)km/(97.40.314611 66141321 lbBxXrRDbnrxdrDSreqmeqeqbcabm等效电路：48.3j6.2S105.j(2) 不计分布性参数 )S(109572.4103.4 )(8269036.7. )S/km(10.41lg58. )km/(269.04157.68.20lg45.7.l0 8613)(0)km/(97.405.31411 661441321 lbBxXrRDbnrxdrDSreqmeqeqbcabm2-3 解： )S(10324.6j1028.67.1jj )(026.14j8.9.597947.)( 974.320.02150213)S(8.6.)(. 21631 4631 BkYXRZ lbxklxbrlkbBlLXrRbr bxr 10.43j 026.14j8.9S.3j2502-4 解：)S(10976.210821025.35.%)(6.10610-NT 22k2N2ST UPGXR )(4.9. 5-22TSIB型等效电路：S10976.2-S1048.j563.2.j2-5 解：)S(10726.4106.31%95)(24.11076.35.-%)(2.801017%(25.0)11(2%)(379.201650.1)(40.32019kW65)(21)(2k93)(21-2N0T 6-N2S3TN2 2ST S3S13332SS 2S31S2NS3T2N2S1TS3231SSS3USIBPGXUUUPRUPP等效电路图： 0.5268j3.46.3j9.24.51j7.S1).7j9.(62-6 解：)(209.138107.25%67.9.-)(84.10215.07.25%(2.1)1%5.(2 2.37%22.42) )(379.6015.670.92. )(867.1015.30kW5.)(2)(.121k5.3)(2 )kW(13804)(1084)2NS3T2N2S1T S3S33 132SS 2S13S 1S13S33N32S2S3T2N2 2NS1TS233SSS1S312323N2S UXUUUUUPRUPP PPP)S(1029.0165.04.5-2NT 6-0 USIBPG等效电路图：2-7 解：（1）以220kv电压作为基本级95.0%)(21% .14 )(592.0180.396 51 )(72.0180.43 kW5.96)(21 )(.1 k5.483)(21 )k(804)(92) S104.05.% )(59.318 162.40 )(3.2163S32SSS 222N2S3TN2S1T2S233S2S1 31S31323N2S0T1 22N2STN UUPRUPP PPPUIBPGXUR)S(10745.)120(5076.2 )(9.64. 81.2)0(5132.0)S(0749 )(.647.8)(10975.210.% S3.4 )(.28015.90 54% )(8.6120195.40 5.9%(2 2 4112N0T2 6N2S3TN2S1T S3S33 BXRLlbBxlrUSIPGXU等效电路： 162.34j.0)02.5j8.4( 19.40j72. 54.2j. 942.6j81.S)49.20j15.3(S1.76j-S)75.29j13.4(634.2j59.0S075.2j1(2)选取 )S(026.)(.8kV20MA0 BB2BB USYSUZUS 503.053.831.0 12.6.5. 1098.59.7.13. BT*BT2*BT*1 32 4BT1*4T1*T*T*1 ZXZXZXRRR YG 3B2*B2*B2*2 1111 4BT2*4BT2* 0.38.45.0 5.857.09. .0 YZXZRLYG等效电路： .706j13.).5170j9.(21.8310j5.053j6.381j4.4).918j52.(3.48j4).1j2(.503j12.0.j1SS(3)选取 avBBMVA10US4B0*T2NBS32*TNBS1223*T22NBS*2221*T2 3BN0 4*T1NBS22*T1 1021 53.8.9% 0.1.0 83.95.4 )(106 6.805.9 15043.5.% 1085.1 3.40 1.6PGUXPRSIPGXR326B2av*2 22avB*2 3262av1B* 22av11 3N0*T 1085.1057. .04. 94.0153. 106.309. 74.174. 09.608. 14.1.% SUlblxXSlrRLUbSlxXlrRLSI等效电路为： 410)2j85.(583.j.31026.9j)47.0j91.(831.0j5.053.j6.531.j49.4).1j2(.j012. 082.jS1S2-8解：(1)计算线路参数： 6)%(21% 5.0 1)(21 )(574.06320S198.416.% )(07.20.1 81.5. )(74.010421S3S23S3S 3S13SSS 2NS3T2T2 5N0 62T2N2S22NT1 UUUPRIBGUXPR)S(1083.21058.10% )(3.40105.1 85.48)S(09606.2 )(7.2935. )(1.1 (404.).2)S(086.2 (3.89)7604. )(10248.1.1% S7. )(524.163010 9.5.% )(206.1310 52NT3 602N2STN3 46331 4622 411 52N0T2 62N2S3TN22S1TUSIBPGXURlbBxXlrLlrRlbBxXlrLUSIPGXU等效电路图： 2S1S3S81.2j47.0 32.4j76. 206.19j457. 96.0j457.S)18.49j7.6(6j21.45S03.j7.25j3S10j.96-41)83.2j1.36.40j85. )48.62j7(j1.457.008(2) 标幺制下，按精确计算法计算，选取3B3*B3*B3*3 2222 3B1*B1*B1*1 4BT3*5T3TT3 4B2*5B2* *T3*T2T1BT1*3T12 4B15B*B*22B109.17.09. 674. 054.836.9. 105.2184.005.7.8 952.07.8.038. .10.59.04. )S(83.)(1.kV1MA1 YZXZRL YYGZXZRYG XZYYGZXZR USUUS 2-9解：选取 avMVA1US391.50.61208. 47.8.45. 091.60.317.915.0%025.3487.105.162.6282avB*2 22avBNR*S2T2avB*1NSTB* USlxlrLIXUlxLXxGd等效电路图： 168.0j75.0jj3.0517.j091.j47.283391.50j第三章3-1 解：(1)计算线路参数： )S(104.5107.22241)(.63.161 lbBxXlrRj2US.j47.2j41SU YY)MVA(j6.75428.4059.1j9.03j284. 9151j )kV(.)( )k(45.32069.85.402.16 )MVA(9.13j8j203.j0 )(2.0j4)5.6(9.184)( 0j7j )(7.10.52j1Y1 4212Z21 22Y24 SBURQXPUSXRPBS电压向量图为：2U)1(31dU2d1)(13(2)空载运行时： 02S )kV(194.05.2104.521MA7.j.jj 42Y2 XBU)MVA(j23.610.7.1j839.j021. 78245j )(89.j.6.j.7.j )(068.j21)05(10)9.()(kV823.194.20( )(369.105Y1Z2121 4 SBUXRQPSBU3-2 解：计算变压器参数(归算到高压侧)： k5U1S2TZ65j90S21TZ3Y194j0)(635.0)23(10894.8.5.7)(097.)23(106.85.31%(2%.2)11.3(2)kW(894.12)15.7(2)k(6.218)139.035()( )kW(.147.)22NS3T2N2S1T 2-1S3-2S3-13 -SS -S3-S-23-S33-S-12-S2-23N-23-1S3-1S UPRUUPPP)kV(14.53)(1.57)2951( k73409.6840. )(2.51.4.297 )MVA(658.24j09.16j3j )kV(7.30%)5.1(096)748.2(.51 )(19.658.06.4 k74.21).(93.87 MVA(j064j ).061j.)(50194)k(25189)7.( )(89.063.V74.15.9)MA(70j256j0 )MVA(719.4j02.j63.)()S(104.215308.%96)(1015.367.20.%)(.4315.312T122322T2ZT22 223T3T3ZT2 23T2N0T 72N23STN2 221ST UUSUUSUQRPXSXRUPSIBGUX3-3 解：计算线路参数： 1S TZ2S2ZY1U )S(108.2108.2)(43. 461 lbBxXlrR电压归算到高压侧： kV5.3CU)MVA(j45.61.83 )(.157j98202j1j )MVA(.5937j468.20j3.4568)j()k(9.2( )kV(.113.-0. 48.30.45698. )MA(j )(.6j19.2.21jj )MVA(.371j09.132)07j07()( kV(3. )k(5.92.4.582.103)VA(0.8j68j6j0 )M(.j.)4.(24YZ21Y 22ZZ12Z2YT42Y6TTZ22TZTZ2T SSBUXRQPUXQRPSSBUGUQRPXS即始端电压为 225.984kV，始端功率为 (83.166+j45.556)MVA3-4 解：计算线路参数： ABS T3Z01SZY2Y1 2B1SBY2Z2)S(1052.81069.2 )(34:B)(77 )(65.21.08:4611 4ABXR设全网电压为额定电压 ，计算功率分布：kVNU)MVA(j61.59872.)(.208j051j )VA(.6175j4.)34.(92.48.705j )MVA(.2085j02.j)VA(16 )(.17j4)10.3j0847)j( )M(.9j3.0 )MVA(.827j4.j612.51.7)VA(j )(j23.078.34j )VA(.16j.)1j9.(20)M(075.6.34382j0j2).58(A. 20)186.5j10729.()1.j95.(ZB11B 2Y22ZBY11 2YBT 6NTZT1212ZT2ZT32ZT32TB2YTBZ SSSUBGSSSSS)MVA(6.458j.93.139j21075.2j )(.j. )VA(.726j.65(6.4.92)VA(j.21)M(4.j075.j )M(j68.91.2.538j6.38)(121YABAYBZB2ZABYAB14YAB1YB2 SSS用给定的始端电压和求得的功率分布，计算各段中的电压和变电所高压母线电压：)kV(58.1947.6)5.1342.07( k)(741.6203.8. V5.3.1.9.7.3)k(420)2().042.7( 6.5.4)kV(28.0.7310. )(4.28)97.138.20( )(13.56.98. kV97.30.4.46.187. )k(2)5.1269.3( )(10.89.6.53.kV5.3164872.1)kV(9.5)896.24( )(7.825.3kV96.2.64.7.23T3ZT032T2ZT020T1ZT21B1BB12BABAB URQXPURQXPURQXPURQXPURQXP110kV 侧的实际电压为： )kV(928.1302kV10U35kV 侧的实际电压为： 54.835对于 B 点， )MVA(254.1j.0).4j.(.j.YTB0 S0BSVA1j2)kV(29.018.)72.14( )k(18.635.34.4. 7.219520BTBT01T URQXP变压器 低压侧实际电压：1 5.8BTkV35U将计算结果标于图上：2 0 7 . 4 2 42 4 2Aj7.6MV93.j64.2A1.92 3 2 . 2 6 9j1.MA87.j.92VA4.702 2 0 . 8 3 8j6.9MVA7.1j53.16VA.j3.16VA8.j30M75.421 1 3 . 9 2 833 4 . 0 5 2j.08V2. j2M303-5 解： AS 01SZY2 5kV3 2ZY131设全网电压为额定电压 ，计算功率分布：kV0NU)MVA(.462j17.0).294j8.(211033MVA.j)(68 )(163.0j8.)24j68.5(10)j(21 )(15.073.5j )MVA(5.j7.)9.1j.(2)j(2Z12Z3 2TN32Z2 2T22 SXRUQPS)MVA(j2.1789.3 )(.8942j5021j )(j )MVA(.1j0.3.j861203.28.3)VA(j.0)(.472j1j )M(5.6792j8.3YA6ZZY1A2NZ1 SBUSBUS根据给定电压 计算各段电压：k5)kV(798.10235.)216.04( kV)(935.001.468.53.5. 214.865.038.10)kV(97)2()431( )kV(0.01.48.2525 4139.85.073.2.0. )kV(149)1209( )kV(5.2.0984.250765 .9.1845.21.300)kV(968)915( )kV(68.2.502.911.3.86.5029.31213 T3T3Z0220TT2ZT2AT1TZ1121AZA URQXPURQXPURQXPURQXP变压器中、低压侧实际电压为： )kV(28.109.5.32将计算结果标于图上：1 0 4 . 0 11 1 5Aj2.0MV89.3j23.0VA81.1 0 9 . 1 2 2j23.MVA.j15.073.28621 0 . 2 833 6 . 2 5 9j5.679MVA8. kV3-6 解：计算线路参数： )S(1072.4361028.% .9 )(263.4103. 89.86: )S(10257105. )(4.324.: )(8. )(6910.2.735:5NST0N2STN421212 4611UIBPGXURlbBxXlrLlrR(1) 设全网电压为额定电压 kVASS BS j130MVA27BSCBj39.26)0.7(211Yl12Ylj21.4)78.3(0.625j5.4j21lSYl05.0.65jj8CZZ )kV(21.6230.9564.1.78.26121)MVA(9j0.754. )MA(159.34j08.6)2.39j0.7(21.62)(.1j7 )VA(5.j8.4A12YABZAB22NZB1Y2412 UXQRPSSlll)kV(845.26.7)28.530( )kV(62.73082111 .514.5.78.4.)MVA(96j8.2.51 )MVA(.281j4.)1.2j78.3(10.74)(9j8 )VA(.05j21.652k86.)30( )k(42.13.74.1.90.721CA2YACZCA2NZ1YC42BA URQXPSUQPSURQXPlll即 B 点电压为 214.86kV，C 点电压为 224.845kV。(2)厂用电负荷： )MA(1.%.1S(MVA)124.67j8.50 A)j50.36(MV1.9)360419.2.j3609.)13.2j9(2 ).%(j)5.(2)j(j6.8714.j6.08.79sincojTBA 2 N2ASN2ASN0ZTBYTBACA SS UPIPSSQP 即发电机的发电负荷为(506.78+j267.124)MVA。3-7 解：(1)不计功率损耗 aSakm304MVA1j15j2CB MVA15j2010jj15 A3j53j-CBCBaa 25j30 )(13j5304)j2()()( 152SS 正常运行时，最大电压损耗出现在 B 点： kV10NU)k(328.1067.1 )(672.349.4.5BU最大电压损耗为： %8.MVA15j20VA10jCkm3k3MVA10j15j20BCABkm4k3AB 故障切除： )kV(628.1074.35.10 )k(74.392)(56)(625.10.23.0MVj30jjBCCBAUS电压损耗： %5AC 故障切除： )kV(279.10.5102 )k(21.54.3.3)(7)(5.7109.2.40MA2j30jjCBCBAUS电压损耗： %8.即切除 AC 线路时的电压损耗最大，为 8.837%(2)计及功率损耗的功率分布： MVA12j5VA036.j8.3.j40.15 AMV36.1j028.5j5CB1 1 5 457.1j2.由(1)知 ，取3BSS k0NU)MVA(457.13j2. )MVA(421.0j3.29.0j106.8.5 68168.j)(32. )(03.j2.049.j0(135)MVA(51)VA(5.j4j.(12ACACBC2BCABAB SSS正常运行时，最大电压损耗出现在 B 点： )k(36.17.15 )k(637.029.4.BU最大电压损耗为： %.30MVA15j2010jACkm3kmMVA10j15j20BCABk4km3BS SCAB 故障切除：设全网为额定电压 kV10NU)kV(49.10567.32109 )kV(706.329.06.)(85 )(8.51542.3.7.02.31)MA(6j )MVA(.691j30.9.0j.5 52151210j)(.6. )(6.0j.349j3(52BCACA2CBCB2C USS电压损耗为： %.8AC 故障切除：设全网为额定电压 kV10NU)kV(091.564.25.107 )kV(164.27304.2.3 )( )(75.159.0.74.08531)MVA(2j )MVA(.192j86.40.j3.1.6. 35316405j )(.j.2.j.064)9j3.(01CBABA2BCC2B USS电压损耗为： %8即切除 AC 线路时的电压损耗最大，为 9.008%(3) 不计功率损耗： CBaa 25j30 )MVA(64.12j90.87.12j9.3j5.16.7j.1 )16.j3()50()()j( 35. .j72j93j520SSS MVA15j20MVA10jA6.j9.15 VA64.j.j2.4.90C正常运行时，最大电压损耗出现在 B 点： )k(261.0397.1 )k(739.42.34BU最大电压损耗为： %.MVA15j2010jACkmkm3MVA10j15j20BCABk4km3BS SCAB 故障切除： )kV(891.4.375.10 )k(4803.2)(756)(625.19.2.03MVAj30jjBCCBAUS电压损耗： %9AC 故障切除： )kV(895.60.251 )k(056.214.34.3)(7)(.709.25.0MA25j301jjCBCBAUS电压损耗： %.9即切除 AB 线路时的电压损耗最大，为 9.19%阻抗增大后，其最大电压损耗也将增大。3-8 解： 等效电路图如下：01521MVA20j4VA50j88j 4123j31 0j MVA20j450j84)j1(31S S8j2j1不计功率损耗，计算功率分布： A)j42.18(MV.69215j8j3j28j)04()1()50j8( )j7.(.50jjj )j()5()23()j(41 SMVA20j4MVA50j88j2 412j3j1231j5S S4324144 70j)MVA(5.81j.652j334.2.j0SSSS功率分点在 3 点，分解网络进行计算 )(81.7j2.0)j4(81.j.5)VA(j8.69213 MVA20j44312S SS34S)MVA(16.30j79.5 )MVA(.1852j46.0)8j2(91.72.5)( .038j.2j4 )(97j.6j4.178.0 )(.1630j4.)12(.72.)j( VA5j.5j38052.6 )M(.7j8.)(16)j( )(942j.72j43.4 )(5.j6.0)13(06.3.)j( )MVA(581j262051j344j1212N223 232N323141 12N433 24N2434 SXRUQPSXRPUQSXRPSS按给定电压 计算各段电压：4)k(825.107.15 )kV(175.4129434334UXQRP)kV(019.28.15 )kV(981.2516.307.3122UXQRP将结果标于图上： MVA20j4 MVA50j8 431VA6.7j9.21 1 5VA81.5j2.60.63j79.j.891. .8917j3. .7j2.01 1 2 . 0 1 96.42j.48.92MVAj.1 1 0 . 8 2 51 1 53-9 解：参数计算： )(52.638015.0% 9.: )(37.4910210 8.58: )(6.4102410% 8.58: )(4.2970.)(6.70. 63: 423N2ST54T3 23N5435432