电力系统分析(中国电力出版社,苏小林闫晓霞版).doc

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1、 第一章1-1解： 4发电机G额定电压： 10变压器额定变比： 105=10.5KV 100220110/100242110110T1=，T2：220:(110):(35)=220:121:38.510105/10010.5100100 1101103535T3=，T4=101.11161.16.61-2解：(1)：发电机G：10.5KV变压器高低压侧额定电压：T11211101103535 ，T2=T3=10.5351.138.5101.111(2) 变压器实际变比：121(1+2.5%)12411035(1-5%)33.25 T1=，T2，T3=10.510.538.5101.1111-3

2、解：日用电量：W=702+504+802+1004+802+904+1204+702=2040(MWh)日平均负荷： Pav=负荷率： g=W2040=85(MW) 2424Pav85=0.708 Pmax120Pmin50=0.417 Pmax120最小负荷率： b=1-4 解： Tmax= W1=(1002000+604000+302760)=5228(h) Pmax100 第二章2-1 解：线路长度为65km，属短线路，不计分布性参数r1=31.5=0.105(W/km)S300Dm=DabDacDbc=6000600012000=7559.5(mm)=x1=0.1445lgDm+0.0

3、157=0.4215(W/km)rr7.5810-6=2.710-6(S/km)DlgmrR=r1l=0.10565=6.825(W)b1=X=x1l=0.421565=27.3975(W)B=b1l=2.710-665=1.75510-4(S)等效电路：6.825+j27.3975W 2-2 解：(1) 不计分布性参数r1=31.5=0.0197(W/km)S4400Dm=3DabDacDbc=1200024000=15119.1(mm)=Dm0.015715119.10.0157+=0.1445lg+=0.279(W/km)reqn187.384rreq=rd12d13d14=.62400

4、4004002=187.38(mm)x1=0.1445lgb1= 7.5810-6=3.97510-6(S/km)DlgmreqR=r1l=0.0197120=2.364(W)X=x1l=0.279120=33.48(W)B=b1l=3.97510-6120=4.7710-4(S)等效电路： 2.364+j33.48W (2) 不计分布性参数r1=31.5=0.0197(W/km)S4400Dm=DabDacDbc=1400014000=14000(mm)=Dm0.0157140000.0157+=0.1445lg+=0.269(W/km)reqn204.684rreq=rd12d13d14=

5、.624504504502=204.68(mm)x1=0.1445lgb1= 7.5810-6=4.13110-6(S/km)DlgmreqR=r1l=0.0197120=2.364(W)X=x1l=0.269120=32.28(W)B=b1l=4.13110-6120=4.957210-4(S)2-3 解：R=r1l=0.1200=20(W)X=L1wl=2p50210-3200=125.66(W)B=b1l=2p500.0110-6200=6.2810-4(S)l22002-3-6kr=1-x1b1=1-2p502102p500.0110=0.974 33r12b1l2l2kx=1-(x1

6、b1-)=0.987，kb=1+x1b1=1.007x1612Z=krR+jkxX=0.97420+j0.987125.66=19.48+j124.026(W)Y=jkbB=j1.0076.2810-4=j6.32410-4(S)20+j125.66W20+j125.66W19.48+j124.026W短线路等效电路2-4 解： 中等长度线路等效电路长线路等效电路21PSUN1601102RT=3.63(W)2221000SN210001021Uk%UN110.51102XT=63.525(W)2100SN210010 GT=2P018-6=2=2.97610(S)221000UN100011

7、0 BT=2I0%SN0.910=2=1.48810-5(S) 22100UN100110G型等效电路： 3.63Wj63.525W2.9762-5 解：1(PS1-2+PS1-3-PS2-3)=93(kW)21PS2=(PS1-2+PS2-3-PS1-3)=52(kW)21PS3=(PS1-3+PS2-3-PS1-2)=65(kW)22PS1UN931212RT1=3.404(W)21000SN1000202PS1=RT2RT32PS2UN521212=1.903(W)21000SN10002022PS3UN651212=2.379(W)21000SN10002021(US1-2%+US1-

8、3%-US2-3%)=1121US2%=(US1-2%+US2-3%-US3-1%)=-0.521US3%=(US3-1%+US2-3%-US1-2%)=722US1%UN111212XT1=80.526(W)100SN10020US1%=XT2XT32US2%UN-0.51212=-3.66(W)100SN100202US3%UN71212=51.244(W)100SN10020 GT=BT=P043.3-6=2.95710(S)221000UN1000121I0%SN3.4620=4.72610-5(S)22100UN100121 等效电路图：1.903-j3.66W 2-6 解：PS2-

9、3=(PS1=SN2)PS2-3=4PS2-3=1080(kW)，PS1-3=4PS1-3=1380(kW)S3N1(PS1-2+PS1-3-PS2-3)=312.5(kW)21PS2=(PS1-2+PS2-3-PS1-3)=12.5(kW)21PS3=(PS1-3+PS2-3-PS1-2)=1067.5(kW)22PS1UN312.52202RT1=1.867(W)21000SN1000902RT2RT32PS2UN12.52202=0.075(W)21000SN10009022PS3UN1067.52202=6.379(W)21000SN1000902US2-3%=(US1%=SN2-3%

10、=2US2-3%=24.2，US3-1%=2US3-1%=37.2)USS3N1(US1-2%+US3-1%-US2-3%)=11.521US2%=(US1-2%+US2-3%-US3-1%)=-1.521US3%=(US3-1%+US2-3%-US1-2%)=25.722US1%UN11.52202XT1=61.844(W)100SN10090XT2XT32US2%UN-1.52202=-8.067(W)100SN100902US3%UN25.72202=138.209(W)100SN10090 GT=P0104=2.14910-6(S)221000UN1000220I%SN0.6590-5

11、BT=0=1.20910(S)22100UN100220等效电路图： 2-7 解：（1）以220kv电压作为基本级2PSUN6202422T1：RT=0.63(W)221000SN10002402US%UN142422XT=34.162(W)100SN100240 GT1=BT1=P0185-6=3.15910(S)221000UN1000242I0%SN0.5240=2.04910-5(S)22100UN100242SN2)PS2-3=4PS2-3=592(kW)，PS1-3=4PS1-3=880(kW)S3NT2：PS2-3=(PS1=1(PS1-2+PS1-3-PS2-3)=483.5(

12、kW)21 PS2=(PS1-2+PS2-3-PS1-3)=195.5(kW)21 PS3=(PS1-3+PS2-3-PS1-2)=396.5(kW)22PS1UN483.52202RT1=0.722(W)221000SN1000180 RT2RT32PS2UN195.52202=0.292(W)221000SN10001802PS3UN396.52202=0.592(W)221000SN10001801(US1-2%+US3-1%-US2-3%)=14.9521 US2%=(US1-2%+US2-3%-US3-1%)=-0.952 US1%= US3%=XT1XT2XT31(US3-1%+U

13、S2-3%-US1-2%)=9.0522US1%UN14.952202=61.844(W)100SN1001802US2%UN-0.952202=-2.554(W)100SN1001802US3%UN9.052202=24.334(W)100SN100180GT2=BT2=P0200=4.13210-6(S)221000UN1000220I0%SN0.8180-5=2.97510(S)22100UN100220L1：R1=r1l=0.0860=4.8(W)X1=x1l=0.41760=25.02(W)B1=b1l=2.9110-660=1.74610-4(S)2202)=21.818(W)12

14、12202 X2=0.40550()=66.942(W)1212202 B2=2.7610-650()=4.174510-5(S)121L2：R2=0.13250(等效电路： 0.63+j34.162W1(4.8+j25.02)W0.722+j40.199W0.292-j2.554W21.818+j66.942W(4.132(3.159S122UBS=48.4(W)，YB=B=0.02066(S) (2)选取SB=1000MVA，UB=220kV，ZB=2SBUB*T1：RT=RTXGB*=0.013，XT=T=0.706，GT1=T1=1.52910-4，BT1=T1=9.91810-4ZB

15、ZBYBYBRRT1R*=0.015，RT2=T2=0.006，RT3=T3=0.012ZBZBZBXXT1X*=0.831，XT2=T2=-0.053，XT3=T3=0.503ZBZBZB*T2：RT1=* XT1= G*GT2=T2=210-4，B*=BT2T2=1.4410-4YBYBL*R1：R1=1=0.099，X*X*B1=1Z=0.517，B1=1=8.45110-3Z BBYBL：R*R22=2=0.451，X*=X2=1.383，B*B-3Z22=2=2.02110BZBYB等效电路： 0.013+j0.70610.015+j0.8310.006-j0.0530.451+j1

16、.38325(.2(1(3)选取SB=1000MVA，UB=UavT：R*PSSB6201T=1000S2=10002=0.011N1000240X*US%SBT=100S=141000240=0.583N100G*P0T1=1851000=1.8510-41000SB1000B*I0%SNT1=0.52401001000=1.210-3100SBT*PS1SB483.2：RT1=1000S2=510002=0.015N1000180R*PS2SBT2=1000S2=195.510001802=0.006(W)N1000R*PS3SB396.5T3=1000S2=10001802=0.012(

17、W)N1000X*US1%SBT1=100S=14.951000=0.831N100180X*US2%SBT2=100S=0.951000100180=0.053NX*US3%SB9T3=100S=.051001000180=0.503NG*P0200T2=S=210-41000B10001000S1 *BT2=I0%SN100SBSB2Uav=0.8180=1.4410-3100100010002302*L1：R1=r1l=0.0860=0.091=0.473* X1=x1lSB2Uav=0.4176010002302*B12Uav2302-6=b1l=2.911060=9.23610-3S

18、B1000*L2：R2=r2l* X2=x2lSB2Uav=0.13250=0.4055010001151152=0.499=1.531SB2Uav10002*B22Uav1152-6=b2l=2.761050=1.82510-3SB1000等效电路为：0.011+j0.5831(0.091+j0.473)0.015+j0.8310.006+j0.0530.499+j1.5311 2-8解：(1)计算线路参数：2PSUN4101212T1：RT=0.417(W)221000SN10001202US%UN10.51212XT=12.811(W)100SN100120GT1= BT1=P099.4

19、-6=6.78910(S)221000UN1000121I0%SN0.6120=4.91810-5(S)22100UN1001212PSUN3001102=0.457(W)21000SN2000632T2：RT1=RT2=RT3 US1%=1(US1-2%+US3-1%-US2-3%)=1021US2%=(US1-2%+US2-3%-US3-1%)=0.521US3%=(US3-1%+US2-3%-US1-2%)=62 2US1%UN101102=19.206(W)100SN100632US2%UN0.51102=0.96(W)100SN100632US3%UN61102=11.524(W)1

20、00SN10063XT1 XT2 XT3GT2= BT2=P084.7=710-6(S)221000UN1000110I0%SN1.263-5=6.24810(S)22100UN100110L1：R1=r1l1=0.42280=33.76(W) X1=x1l1=0.42980=34.32(W)B1=b1l1=2.6610-680=2.12810-4(S)L2：R2=r2l2=0.42250=21.1(W) X2=x2l2=0.42950=21.45(W) B2=b2l2=2.6610-650=1.3310-4(S)L1：R3=r3l3=0.42260=25.32(W) X3=x3l3=0.42

21、960=25.74(W)B3=b3l3=2.6610-660=1.59610-4(S)2PSUN1481102T3：RT=1.805(W)221000SN100031.52US%UN10.51102XT=40.333(W)100SN10031.5 GT3= BT3=等效电路图：P038.5=3.18210-6(S)221000UN1000110I0%SN0.831.5-5=2.08310(S)22100UN10011033.76+j34.32WS1 (2) 标幺制下，按精确计算法计算，选取2UBSSB=1000MVA，UB=110kV，ZB=12.1(W)，YB=B=0.083(S)2SBUB

22、*T1：RT=RTXGB*=0.034，XT=T=1.059，GT1=T1=8.1810-5，BT1=T1=5.92510-4ZBZBYBYBRT1X*=0.038，XT1=T1=1.587，XT2=0.079，XT3=0.952ZBZB*T2：RT1=RT2=RT3=* GT2=*T3：RT=*L1：R1=*L2：R2=*L3：R3=GT2B*=8.43410-5，BT2=T2=7.52810-4YBYBGBRTX*=0.149，XT=T=3.333，GT3=T3=3.83410-5，BT3=T3=2.5110-4ZBZBYBYBR1XB*=2.79，X1=1=2.836，B1=1=2.56

23、410-3ZBZBYBR2XB*=1.744，X2=2=1.773，B2=2=1.60210-3ZBZBYBR3XB*=2.093，X3=3=2.127，B3=3=1.92310-3ZBZBYB 2-9解：选取SB=1000MVA，UB=Uav*G：xd=xdSB100=1.628=0.1628SN1000*T1：XT1=US1%SB10.51000=0.875100SN100120SB2Uav*L1：x1=x1l1=0.410010001152=3.025*T2：XT2=US2%SB10.51000=1.167100SN10090UNSB2Uav*R：XR=XR*L2：R2=r2l2* x2

24、=x2l2SB23INUav=0.0564210006.32=1.091=0.4525=0.082510006.36.310002=283.447=50.391SB2Uav等效电路图：j0.1628j0.875j3.025j1.167j1.091283.447j50.391 第三章3-1解：(1)计算线路参数：111R1=r1l=0.13100=6.5(W)222111 X=X1=x1l=0.412100=21.05(W)222B=2B1=2b1l=22.710-6100=5.410-4(S)R=&S6.5+j21.05W&S2 112DSY2=-jBU2=-j5.410-42102=-j11

25、.907(MVA)22=S2+DSY2=40+j30-j11.907=40+j18.093(MVA)S22P22+Q2402+18.0932DSZ=(R+jX)=(6.5+j21.05)=0.284+j0.92(MVA)22U2210+DSZ=40+j18.093+0.284+j0.92=40.284+j19.013(MVA)S1=S2X406.5+18.09321.05P2R+Q2 DU=3.052(kV)U2210R4021.05-18.0936.5PX-Q2dU=2=3.45(kV)U2210U1=(U2+DU)2+dU2=213.08(kV)11DSY1=-jBU12=-j5.410-

26、4213.082=-j12.259(MVA)22S1=S1+DSY1=40.284+j19.013-j12.259=40.284+j6.754(MVA)电压向量图为：&U&d&U&U&DU&dU&dU&U2&DUU2题3-1(1)题3-1(2) (2)空载运行时：S2=0112=DSY2=-jBU2S2=-j5.410-42102=-j11.907(MVA)22 11DU=-BU2X=-5.410-421021.05=-1.194(kV)22 dU=11BU2R=-5.410-42106.5=0.369(kV)22U1=(210-1.194)2+0.3692=208.806(kV)2P22+Q

27、2(-11.907)2DSZ=(R+jX)=(6.5+j21.05)=0.021+j0.068(MVA)22 U2210+DSZ=-j11.907+0.021+j0.068=0.021-j11.839(MVA)S1=S211DSY1=-jBU12=-j5.410-4208.8062=-j11.772(MVA)22S1=S1+DSY1=0.021-j11.839-j11.772=0.021-j23.611(MVA)3-2解：计算变压器参数(归算到高压侧)：U=35500=500(kV) 35400+j194SZZSN232502)PS1-3=()94.9=1647.569(kW)S3N360SN

28、232502)PS2-3=()=1616.319(kW)S3N360 PS1-3=(PS2-3=(PS1=1(PS1-2+PS1-3-PS2-3)=218.675(kW)21PS2=(PS1-2+PS2-3-PS1-3)=187.425(kW)21PS3=(PS1-3+PS2-3-PS1-2)=1428.894(kW)21US1%=(US1-2%+US1-3%-US2-3%)=13.121US2%=(US1-2%+US2-3%-US1-3%)=-2.321US3%=(US1-3%+US2-3%-US1-2%)=31.522PS1UN218.6755002RT1=0.097(W)221000SN

29、1000(3250)RT2RT32PS2UN187.4255002=0.083(W)221000SN1000(3250)2PS3UN1428.8945002=0.635(W)221000SN1000(3250) XT1XT2XT32US1%UN13.15002=43.667(W)100SN10032502US2%UN-2.35002=-7.667(W)100SN10032502US3%UN31.55002=105(W)100SN1003250GT=BT=P098.9=3.95610-7(S)221000UN1000500I0%SN0.083250-6=2.410(S)22100UN100500

30、P2+Q2902+562DSZT3=(RT3+jXT3)=(0.635+j105)=0.029+j4.719(MVA)22U500S2=DSZT3+90+j56=90.029+j60.719(MVA)DUT3=PRT3+QXT3900.635+56105=11.874(kV)U500PXT3-QRT390105-560.635=18.829(kV)U500dUT3U2=(500+11.874)2+18.8292=521.22(kV)4002+1942DSZT2=(0.083-j7.667)=0.066-j6.061(MVA)2500S2=DSZT2+400+j194=400.066+j187.

31、939(MVA)DUT2=400.0660.083+187.939(-7.667)=-2.748(kV)512.22400.066(-7.667)-187.9390.083=-6.019(kV)512.22dUT2U2=512.22-(-2.748)2+(-6.019)2=515.003(kV)中压侧电压：U中=U3230(1-2.5%)=230.979(kV)500S2=S2+S2=400.066+j187.939+90.029+j60.719=490.095+j248.658(MVA)490.0950.097+248.65843.667=21.291(kV)512.22490.09543.

32、667-248.6580.097=41.734(kV)512.22DUT1=dUT1U1=(512.22+21.291)2+41.7342=535.141(kV)高压侧电压：U高=U1=535.141(kV) 3-3解：计算线路参数：&UR=r1l=0.13100=13(W)X=x1l=0.4100=40(W)B=b1l=2.810-6100=2.810-4(S)电压归算到高压侧：U=UC220=200(kV) 38.5802+402DSZT=(3.025+j50.4)=0.605+j10.08(MVA)2002=S2+DSZT=80+j40+0.605+j10.08=80.605+j50.0

33、8(MVA)S2DUZT=PRT+QXT803.025+4050.4=11.29(kV)U200PXT-QRT8050.4-403.025=19.555(kV)U2002dUZTU2=(U+DUZT)2+dUZT=212.193(kV)2DSYT=(GT+jBT)U2=(2.0710-6+j29.710-6)212.1932=0.093+j1.337(MVA)112DSY2=-jBU2=-j2.810-4212.1932=-j6.304(MVA)22=S2+DSYT+DSY2=80.698+j45.113(MVA)S2X80.69813+45.11340PR+Q2DUZ=2=13.448(kV

34、)U2212.193R80.69840-45.11313PX-Q2dUZ=2=12.448(kV)U2212.193U1=(U2+DUZ)2+dUZ=225.984(kV)2P22+Q280.6982+45.1132DSZ=(R+jX)=(13+j40)=2.468+j7.593(MVA)22U2212.193112DSY1=-jBU2=-j2.810-4225.9842=-j7.15(MVA)22+DSZ+DSY1=83.166+j45.556(MVA)S1=S2即始端电压为225.984kV，始端功率为(83.166+j45.556)MVA 2 3-4解：计算线路参数：BZAB:RAB=0

35、.0865=5.2(W)XAB=0.4165=26.65(W)BAB=2.710-665=1.75510-4(S)B1:RB1=0.10880=8.64(W) XB1=0.4280=33.6(W)BB1=2.6910-680=2.15210-4(S)设全网电压为额定电压UN=220kV，计算功率分布：202+102-6-62DSTB=DSZTB+DSYTB=(13.95+j218.2)+(1.72910+j5.8610)2202202=0.228+j2.538(MVA)SB=DSTB+20+j10=20.228+j12.538(MVA)402+302DSZT2=(1.46+j0)=0.075(

36、MVA)2202302+202DSZT3=(2.92+j117.7)=0.078+j3.161(MVA)2220S2=DSZT2+40+j30=40.075+j30(MVA)S3=DSZT3+30+j20=30.078+j23.161(MVA)S2=S2+S3=70.153+j53.161(MVA)70.1532+53.1612DSZT1=(1.46+j48.9)=0.234+j7.828(MVA)2220S1=S2+DSZT1=70.387+j60.989(MVA)2DSYT=(GT+jBT)UN=(0.84710-6+j3.5310-6)2202=0.041+j0.171(MVA)1S1=

37、S1+DSYT=70.428+j61.16(MVA)DSYB11=-j2.15210-42202=-j5.208(MVA)2S1=S1+DSYB11=70.428+j55.952(MVA)70.4282+55.9522DSZB1=(8.64+j33.6)=1.444+j5.617(MVA)22201DSYB12=-j2.15210-42202=-j5.208(MVA)21=S1+DSZB1=71.872+j61.569(MVA)SB 1+DSYB12=71.872+j56.361(MVA)SB1=SB1=SB1+SB=71.872+j56.361+20.228+j12.538=92.1+j68

38、.899(MVA)SB1DSYAB1=-j1.75510-42202=-j4.247(MVA)2=SB1+DSYAB1=92.1+j64.652(MVA)SAB92.12+64.6522DSZAB=(5.2+j26.65)=1.36+j6.972(MVA)2202+DSZAB=93.46+j71.624(MVA)SAB=SAB1DSYAB2=-j1.75510-42422=-j5.139(MVA)2SA=SAB+DSYAB2=93.46+j66.45(8MVA)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：DUAB=PABRAB+QABXAB93.465.2+71.6

39、2426.65=9.896(kV)UA242PABXAB-QABRAB93.4626.65-71.6245.2=8.753(kV)UA242dUAB=UB=(242-9.896)2+8.7532=232.269(kV)DUB1=RB1+QB1XB171.8728.64+61.56933.6PB1=11.58(kV)UB232.269XB1-QB1RB171.87233.6-61.5698.64PB1=8.107(kV)UB232.269P1RT1+Q1XT170.3871.46+60.98948.9=13.97(kV)U1220.838PX-Q1RT170.38748.9-60.9891.46

40、=1T1=15.183(kV)U1220.838dUB1U1=(232.269-11.58)2+8.1072=220.838(kV)DUZT1=dUZT1U0=(220.838-13.97)2+15.1832=207.424(kV)XT240.0751.46+300P2RT2+Q2DUZT2=0.282(kV)U0207.424RT240.0750-301.46PX-Q2dUZT2=2T2=-0.211(kV)U0207.424U2=(207.424-0.282)2+(-0.211)2=207.142(kV)DUZT3=XT330.0782.92+23.161117.7P3RT3+Q3=13.

41、566(kV)U0207.424RT330.078117.7-23.1612.92PX-Q3=3T3=16.741(kV)U0207.424 dUZT3U3=(207.424-13.566)2+16.7412=194.58(kV) 121=113.928(kV) 22038.535kV侧的实际电压为：U35kV=U3=34.052(kV)2200对于B点， SB=SB-DSYTB=20.228+j12.538-(0.084+j0.284)=20.144+j12.254(MVA)110kV侧的实际电压为：U110kV=U200PBRT+QBXT20.14413.95+12.254218.2DUT

42、1=12.722(kV)UB232.26900PBXT-QBRT20.144218.2-12.25413.95dUT1=18.188(kV)UB232.269UBT=(242-12.722)2+18.1882=220.299(kV)变压器T1低压侧实际电压：UB35kV=UBT将计算结果标于图上： 38.5=38.552(kV) 22093.463-5解：侧侧 设全网电压为额定电压UN=110kV，计算功率分布：2P22+Q21202+1521DSZ2=(RT2+jXT2)=(2.84+j1.92)=0.073+j0.05(MVA)2222UN110S2=DSZ2+20+j15=20.073+j15.05(MVA)P32+Q321102+821DSZ3=(RT3+jXT3)=(5.68+j24)=0.038+j0.163(MVA)2222UN110S3=DSZ3+10+j8=10.038+j8.163(MVA)S1=S2+S3=30.111+j23.213(MVA)30.1112+21.21321DSZ1=(2.84+j41.29)=0.17+j2.466(MVA)22110 S1