电力系统分析13章2015年5月修订
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1-1解:4发电机G 额定电压: 1051010.5KV 100⨯= 变压器额定变比:6.6351.1635T 111101.110110T 5.38:121:220)10011035(:)100110110(:220T 5.10242100/10510100/110220T 4321=⨯=⨯=⨯⨯=⨯⨯:,::,:1-2解:(1):发电机G :10.5KV 变压器高低压侧额定电压: 11351.11035T 5.381101.135110T 5.10121T 321=⨯=⨯:,:,:(2) 变压器实际变比:1125.331.110%)51(35T 5.38110T 5.101245.10%)5.21(121T 321=⨯-=+⨯:,:,: 1-3解:日用电量:)MWh (204027041204902804100280450270W =⨯+⨯+⨯+⨯+⨯+⨯+⨯+⨯=日平均负荷: )MW (8524204024W P av === 负荷率: 708.012085P P max av ===γ 最小负荷率: 417.012050P P max min ===β 1-4 解: )h (5228)2760304000602000100(1001P W T max max =⨯+⨯+⨯==2-1 解:线路长度为65km ,属短线路,不计分布性参数)S (10755.165107.2 )(3975.27654215.0 )(825.665105.0)S/km (107.210lg 58.7)km /(4215.00157.0lg1445.0)mm (5.75591200060006000)km /(105.03005.31461116611331----⨯=⨯⨯==Ω=⨯==Ω=⨯==∴⨯=⨯=Ω=+==⨯⨯=⋅⋅=Ω===l b B l x X l r R rD b rD x D D D D S r mmbc ac ab m ρ等效电路:Ω+3975.27j 825.62-2 解:(1) 不计分布性参数)S (1077.412010975.3 )(48.33120279.0 )(364.21200197.0)S/km (10975.310lg 58.7)km /(279.040157.038.1871.15119lg 1445.00157.0lg 1445.0)mm (38.187240040040062.13)mm (1.15119240001200012000)km /(0197.040045.3146111661144141312331----⨯=⨯⨯==Ω=⨯==Ω=⨯==∴⨯=⨯=Ω=+=+==⨯⨯⨯=⋅⋅⋅==⨯⨯=⋅⋅=Ω=⨯==l b B l x X l r R r D b n r D x d d d r r D D D D S r eqmeq m eq bc ac ab m ρ等效电路:Ω+48.33j 364.2(2) 不计分布性参数)S (109572.412010131.4 )(28.32120269.0 )(364.21200197.0)S/km (10131.410lg 58.7)km /(269.040157.068.20414000lg 1445.00157.0lg 1445.0)mm (68.204245045045062.13)mm (14000140001400014000)km /(0197.040045.3146111661144141312331----⨯=⨯⨯==Ω=⨯==Ω=⨯==∴⨯=⨯=Ω=+=+==⨯⨯⨯=⋅⋅⋅==⨯⨯=⋅⋅=Ω=⨯==l b B l x X l r R r D b n r D x d d d r r D D D D S r eqmeq m eq bc ac ab m ρ2-3 解:)S (10324.6j 1028.6007.1j j )(026.124j 48.1966.125987.0j 20974.0j 007.1121987.06)(1974.032001001.0502102502131)S (1028.62001001.0502)(66.125200102502)(202001.0442112112111263211461311-------⨯=⨯⨯=='Ω+=⨯+⨯=+='=+==--==⨯⨯⨯⨯⨯⨯⨯⨯-=-=⨯=⨯⨯⨯⨯==Ω=⨯⨯⨯⨯==Ω=⨯==B k Y X k R k Z l b x k l x b r b x k l b x k l b B l L X l r R b x r b x r ,ππππωΩ+66.125j 20Ω+026.124j 48.19Ω+66.125j 20短线路等效电路中等长度线路等效电路长线路等效电路2-4 解:)S (10976.2110100018210002)(525.63101101005.1021100%21)(63.310100011060211000216-22N 0T 2N 2N k T 222N 2N S T ⨯=⨯⨯=⨯=Ω=⨯⨯==Ω=⨯⨯⨯==U P G S U U X S U P R)S (10488.1110100109.02100%25-22N N 0T ⨯=⨯⨯⨯=⨯=U S I B Γ型等效电路:976.2⨯Ω63.3Ω525.63j2-5 解:)S (10726.41211002046.3100%)S (10957.212110003.431000)(244.51201211007100%)(66.3201211005.0-100%)(526.802012110011100%7)%%%(21%5.0%)%%(21%11%)%%(21%)(379.2201000121651000)(903.1201000121521000)(404.3201000121931000)kW (65)(21)kW (52)(21)kW (93)(215-22N N 0T 6-22N 0T 2N 2N S3T32N 2N S2T22N 2N S1T121S 3S213S 3S 13S 32S 21S 2S 32S 31S 21S 1S 222N 2N S33T 222N 2N S22T 222N 2N S11T 21S 32S 31S 3S 31S 32S 21S 2S 32S 31S 21S 1S ⨯=⨯⨯==⨯=⨯==Ω=⨯==Ω-=⨯==Ω=⨯===-+=-=-+==-+=Ω=⨯⨯==Ω=⨯⨯==Ω=⨯⨯===-+==-+==-+=------------------U S I B U P G S U U X S U U X S U U X U U U U U U U U U U U U S U P R S U P R S U P R P P P P P P P P P P P P等效电路图:Ω-66.3j 903.12-6 解:)(209.138902201007.25100%)(067.8902201005.1-100%)(844.61902201005.11100%7.25)%%%(21%5.1%)%%(21%5.11%)%%(21%2.37%2%2.24%2%)(%)(379.69010002205.10671000)(075.0901*******.121000)(867.19010002205.3121000)kW (5.1067)(21)kW (5.12)(21)kW (5.312)(21)kW (13804)kW (10804)(2N 2N S3T32N 2N S2T22N 2N S1T121S 3S213S 3S 13S 32S 21S 2S 32S 13S 21S 1S 13S 13S 32S 32S3NN32S 222N 2N S33T 222N 2N S22T 222N 2N S11T 21S 32S 31S 3S 31S 32S 21S 2S 32S 31S 21S 1S 31S 31S 32S 32S 23NN 32S Ω=⨯==Ω-=⨯==Ω=⨯===-+=-=-+==-+=='=='='=Ω=⨯⨯==Ω=⨯⨯==Ω=⨯⨯===-+==-+==-+=='=='='=----------------------------S U U X S U U X S U U X U U U U U U U U U U U U U U U U S S U S U P R S U P R S U P R P P P P P P P P P P P P P P P P S S P ,,)S (10209.12201009065.0100%)S (10149.2220100010410005-22N N 0T 6-22N 0T ⨯=⨯⨯==⨯=⨯==U S I B U P G等效电路图:2-7 解:(1)以220kv 电压作为基本级95.0%)%%(21% 5.914%)%%(21% )(592.018010002205.3961000 )(922.018010002205.1951000 )(722.018010002205.4831000 )kW (5.396)(21)kW (5.195)(21)kW (5.483)(21)kW (8804)kW (5924)()S (10049.22421002405.0100% )S (10159.324210001851000 )(162.3424024210014100% )(63.02401000242620100013S 32S 21S 2S 32S 13S 21S 1S 222N 2N S33T 222N 2N S22T 222N 2N S11T 21S 32S 31S 3S 31S 32S 21S 2S 32S 31S 21S 1S 31S 31S 32S 32S 23NN 32S 2522N N 0T1622N 0T12N 2N S T 222N 2N S T 1-=-+==-+=Ω=⨯⨯==Ω=⨯⨯==Ω=⨯⨯===-+==-+==-+=='=='='=⨯=⨯⨯==⨯=⨯==Ω=⨯==Ω=⨯⨯==----------------------U U U U U U U U S U P R S U P R S U P R P P P P P P P P P P P P P P P P S S P T U S I B U P G S U U X S U P R T ,::)S (101745.4)121220(501076.2 )(942.66)121220(50405.0 )(818.21)121220(50132.0)S (10746.1601091.2 )(02.2560417.0 )(8.46008.0)S (10975.22201001808.0100% )S (10132.422010002001000 )(334.2418022010005.9100% )(554.218022010050.9100% )(844.6118022010095.14100% 05.9)%%%(21% 526222222461111111522N N 0T2622N 0T22N 2N S3T32N 2N S2T22N 2N S1T121S 3S213S 3S ---------⨯=⨯⨯⨯=Ω=⨯⨯=Ω=⨯⨯=⨯=⨯⨯==Ω=⨯==Ω=⨯==⨯=⨯⨯==⨯=⨯==Ω=⨯==Ω-=⨯-==Ω=⨯===-+=B X R L l b B l x X l r R L U S I B U P G S U U X S U U X S U U X U U U U :: 等效电路:Ω+162.34j 63.0Ω+)02.25j 8.4(21Ω+199.40j 722.0Ω-554.2j 292.0Ω+942.66j 818.21159.3(132.4(1~S 2(2)选取)S (02066.0)(4.48kV 220MVA 10002BB B B 2B B B B ==Ω====U SY S U Z U S ,,, 503.0053.0831.0 012.0006.0015.010918.910529.1706.0013.0BT3*T3B T2*T2B T1*T1B T3*T3B T2*T2B T1*T124B T1*T14B T1*T1B T *T B T *T 1==-==========⨯==⨯======--Z X X Z X X Z X X Z R R Z R R Z R R T Y B B Y G G Z X X Z R R T ,,,,:,,,:3B2*2B 2*2B 2*223B 1*1B 1*1B 1*114BT2*T24B T2*T210021.2383.1451.010451.8517.0099.01044.1102 ----⨯======⨯======⨯==⨯==Y B B Z X X Z R R L Y B B Z X X Z R R L Y B B Y G G ,,:,,:, 等效电路:.7060j 013.0+21.8310j 015.0+.0530j 006.0-.3831j 451.0+52.1((1~S 2(3)选取av B B MV A 1000U U S ==,4B 0*T2N B S3*T3N B S2*T2N B S1*T122N B S3*T322N B S2*T222N B S1*T123B N 0*T14B 0*T1N B S *T 22N B S *T 1102100010002001000 503.0180100010005.9100% 053.0180100010095.0100% 831.0180100010095.14100% )(210.0180100010005.3961000 )(060.0180100010005.1951000 150.0180100010005.4831000102.110001002405.0100% 1085.1100010001851000 583.0240100010014100% 110.024*********6201000---⨯=⨯===⨯===⨯===⨯==Ω=⨯⨯==Ω=⨯⨯===⨯⨯==⨯=⨯⨯==⨯=⨯===⨯===⨯⨯==S P G S S U X S S U X S S U X S S P R S S P R S S P R T S S I B S P G S S U X S S P R T ::326B 2av 2*222avB2*222avB2*22326B 2av 1*122avB1*122avB1*11B T210825.11000115501076.2 531.1115100050504.0 994.0115100050321.010236.91000230601091.2 734.0230100060174.0 091.023010006008.01000100100----⨯=⨯⨯⨯===⨯⨯===⨯⨯==⨯=⨯⨯⨯===⨯⨯===⨯⨯==⨯S U l b B U S lx X U S l r R L S U l b B U S lx X U S lr R L S ::等效电路为:583.0j 011.0+)473.0j 091.0(21+831.0j 015.0+053.0j 006.0+531.1j 499.0+1~2-8解:(1)计算线路参数:6)%%%(21% 5.0%)%%(21% 10%)%%(21% )(574.06320001103001000)S (10918.41211001206.0100% )S (10789.612110004.991000 )(811.121201211005.10100% )(174.01201000121410100021S 3S213S 3S 13S 32S 21S 2S 32S 13S 21S 1S 222N 2N S 3T 2T 1T 2522N N 0T1622N 0T12N 2N S T 222N 2N S T 1=-+==-+==-+=Ω=⨯⨯====⨯=⨯⨯==⨯=⨯==Ω=⨯==Ω=⨯⨯==-----------U U U U U U U U U U U U S U P R R R T U S I B U P G S U U X S U P R T ::)S (10083.21101005.318.0100% )S (10182.311010005.381000 )(333.405.311101005.10100% )(805.15.3110001101481000)S (10596.1601066.2 )(74.2560429.0 )(32.2560422.0)S (1033.1501066.2 )(45.2150429.0 )(1.2150422.0)S (10128.2801066.2 )(32.3480429.0 )(76.3380422.0)S (10248.6110100632.1100% )S (10711010007.841000 )(524.11631101006100% )(96.0631101005.0100% 63100100522N N 0T3622N 0T32N 2N S T 222N 2N S T 3463333333331462222222222461111111111522N N 0T2622N 0T22N 2N S3T32N 2N S2T2N T1----------⨯=⨯⨯==⨯=⨯==Ω=⨯==Ω=⨯⨯==⨯=⨯⨯==Ω=⨯==Ω=⨯==⨯=⨯⨯==Ω=⨯==Ω=⨯==⨯=⨯⨯==Ω=⨯==Ω=⨯==⨯=⨯⨯==⨯=⨯==Ω=⨯==Ω=⨯==U S I B U P G S U U X S U P R T l b B l x X l r R L l b B l x X l r R L l b B l x X l r R L U S I B U P G S U U X S U U X S ::::等效电路图:1~S Ω+32.34j 76.33(2) 标幺制下,按精确计算法计算,选取3B3*3B 3*3B 3*333B 2*2B 2*2B 2*223B 1*1B 1*1B 1*114B T3*T35B T3*T3B T *T B T *T 34BT2*T25B T2*T2*T3*T2BT1*T1B T1*T3*T2*T124BT1*T15B T1*T1B T *T B T *T 12B B B B 2B B B B 10923.1127.2093.210602.1773.1744.110564.2836.279.21051.210834.3333.3491.010528.710434.8 952.0079.0587.1038.010925.51018.8059.1034.0)S (083.0)(1.12kV 110MVA 1000---------⨯======⨯======⨯======⨯==⨯======⨯==⨯==========⨯==⨯========Ω====Y B B Z X X Z R R L Y B B Z X X Z R R L Y B B Z X X Z R R L Y B B Y G G Z X X Z R R T Y B B Y G G X X Z X X Z R R R R T Y B B Y G G Z X X Z R R T U SY S U Z U S ,,:,,:,,:,,,:,,,,:,,,:,,,2-9解:选取av B B MV A 1000U U S ==,391.503.610002508.0 447.2833.610002545.0091.13.6100043605.03167.19010001005.10100%025.311510001004.0875.012010001005.10100%1628.01000100628.122avB22*222avB22*2222avBN N R *R N B S2*T2222avB11*11N B S1*T11N B *=⨯⨯===⨯⨯===⨯⨯⨯===⨯===⨯⨯===⨯===⨯==U S l x x U S l r R L U S I U X X R S S U X T U S l x x L S S U X T S S x x G dd ::::::等效电路图:1628.0j 875.0j j3.025167.1j 091.1j 447.283391.50j第三章3-1解:(1)计算线路参数:)S (104.5100107.2222)(05.21100412.0212121)(5.610013.021212146111111--⨯=⨯⨯⨯===Ω=⨯⨯===Ω=⨯⨯===l b B B l x X X l r R R Ω+05.21j 5.6~S 2~S ~~)MVA (j6.754284.40259.12j 9.0131j 284.40~~~)MVA (259.12j 08.213104.521j 21j ~)kV (08.213)()kV (45.32105.6093.1805.2140)kV (052.321005.21093.185.640)MVA (9.0131j 284.4092.0j 284.0093.18j 40~~~)MVA (92.0j 284.0)05.21j 5.6(210093.1840)j (~)MVA (093.18j 40907.11j 30j 40~~~)MVA (907.11j 210104.521j 21j ~1Y 1124211Y 2221222222Z 21222222222Z 2Y 2224222Y +=-+=∆+'=-=⨯⨯⨯-=-=∆=+∆+==⨯-⨯='-'==⨯+⨯='+'=∆+=+++=∆+'='+=++=+'+'=∆+=-+=∆+='-=⨯⨯⨯-=-=∆--S S S BU S U U U U U R Q X P U U X Q R P U S S S X R U Q P S S S S BU S δδ电压向量图为:2U )1(13-题1U U∆Ud UδU ∆Uδ2U Ud 1U )2(13-题(2)空载运行时:0~2=S)kV (194.105.21210104.52121)MVA (907.11j 210104.521j 21j ~~4224222Y 2-=⨯⨯⨯⨯-=-=∆-=⨯⨯⨯-=-=∆='--X BU U BU S S)MVA (j23.611021.0772.11j 839.11j 021.0~~~)MVA (772.11j 806.208104.521j 21j ~)MVA (839.11j 021.0068.0j 021.0907.11j ~~~)MVA (068.0j 021.0)05.21j 5.6(210)907.11()j (~)kV (806.208369.0)194.1210()kV (369.05.6210104.521211Y 1124211Y Z 2122222222Z 22142-=--=∆+'=-=⨯⨯⨯-=-=∆-=++-=∆+'='+=+-=+'+'=∆=+-==⨯⨯⨯⨯-==--S S S BU S S S S X R U Q P S U R BU U δ 3-2解:计算变压器参数(归算到高压侧):)kV (5003550035=⨯=U~S ~~194j 400+)(635.0)2503(1000500894.14281000)(083.0)2503(1000500425.1871000)(097.0)2503(1000500675.21810005.31%)%%(21%3.2%)%%(21%1.13%)%%(21%)kW (894.1428)(21)kW (425.187)(21)kW (675.218)(21)kW (319.1616)6032503()()kW (569.16479.94)6032503()(222N 2N S33T 222N 2N S22T 222N 2N S11T 2-1S 3-2S 3-1S 3S 3-1S 3-2S 2-1S 2S 3-2S 3-1S 2-1S 1S 2-1S 3-2S 3-1S S33-1S 3-2S 2-1S S23-2S 3-1S 2-1S S123-2S 23N N 3-2S 23-1S 23N N 3-1S Ω=⨯⨯⨯==Ω=⨯⨯⨯==Ω=⨯⨯⨯===-+=-=-+==-+==-+==-+==-+==⨯⨯⨯='==⨯⨯⨯='=S U P R S U P R S U P R U U U U U U U U U U U U P P P P P P P P P P P P P S S P P S S P)kV (141.535)kV (141.535734.41)291.2122.512()kV (734.4122.512097.0658.248667.43095.490)kV (291.2122.512667.43658.248097.0095.490)MVA (658.248j 095.490719.60j 029.9087.9391j 066.400~~~)kV (979.230500%)5.21(230)kV (003.515)019.6()]748.2(22.512[)kV (019.622.512083.0939.187)667.7(066.400)kV (748.222.512)667.7(939.187083.0066.400)MVA (87.9391j 066.400194j 400~~)MVA (.0616j 066.0).6677j 083.0(500194400~)kV (22.521829.18)874.11500()kV (829.18500635.05610590)kV (874.1150010556635.090)MVA (719.60j 029.9056j 90~~)MVA (719.4j 029.0)105j 635.0(5005690)j (~)S (104.2500100250308.0100%)S (10956.350010009.981000)(10525031005005.31100%)(667.725031005003.2100%)(667.4325031005001.13100%12211T 1T 22232222T 2T 2ZT 22222ZT 2223T 3T 3T 3T 3T 3T 3ZT 22223T 3T 2223ZT 622N N 0T 722N 0T 2N 2N 3S 3T 2N 2N 2S 2T 2N 2N 1S 1T ===++==⨯-⨯==⨯+⨯=∆+=+++=+'=''=-⨯⨯==-+--=-=⨯--⨯=-=-⨯+⨯=∆+=++∆='-=-+=∆=++==⨯-⨯=-==⨯+⨯=+=∆+=++∆=+=++=++=∆⨯=⨯⨯⨯==⨯=⨯==Ω=⨯⨯⨯==Ω-=⨯⨯⨯-==Ω=⨯⨯⨯==--U U U U U S S S U U U U U S S S U U QR PX U U QX PR U S S X R U Q P S U S I B U P G S U U X S U U X S U U X 高中高压侧电压:中压侧电压:δδδ~~~~U ~~)S (108.2100108.2)(401004.0)(1310013.046111--⨯=⨯⨯==Ω=⨯==Ω=⨯==l b B l x X l r R电压归算到高压侧:)kV (2005.38220C =⨯=U U )MVA (j45.556166.83~~~~)MVA (.157j 984.225108.221j 21j ~)MVA (.5937j 468.2)04j 13(193.212113.45698.80)j (~)kV (984.225)()kV (448.12193.21213113.45-40698.80)kV (448.13193.21240113.4513698.80)MVA (5.1134j 698.80~~~~)MVA (.3046j 193.212108.221j 21j ~)MVA (.3371j 093.0193.212)107.29j 1007.2()j (~)kV (193.212)()kV (555.19200025.3404.5080)kV (29.112004.5040025.380)MVA (0.085j 605.8008.10j 605.040j 80~~~)MVA (08.10j 605.0)4.50j 025.3(2004080~1Y Z 2124221Y 222222222Z 2Z 2Z 21222Z 222Z 2Y YT 2224222Y 26622T T YT 2ZT 2ZT 2T T ZTT T ZT ZT 22222ZT +=∆+∆+''=-=⨯⨯⨯-=-=∆+=+⨯+=+''+''=∆=+∆+==⨯⨯=''-''==⨯+⨯=''+''=∆+=∆+∆+'=''-=⨯⨯⨯-=-=∆+=⨯⨯+⨯=+=∆=+∆+==⨯-⨯=-==⨯+⨯=+=∆+=+++=∆+='+=+⨯+=∆----S S S S BU S X R U Q P S U U U U U R Q X P U U X Q R P U S S S S BU S U B G S U U U U U QR PX U U QX PR U S S S S δδδδ即始端电压为225.984kV ,始端功率为(83.166+j45.556)MVA~~~~~Z ~B~~~~)S (10152.2801069.2 )(6.338042.0 )(64.88008.10:B )S (10755.165107.2 )(65.266541.0 )(2.56508.0:AB 46B1B1B1146AB AB AB ----⨯=⨯⨯=Ω=⨯=Ω=⨯=⨯=⨯⨯=Ω=⨯=Ω=⨯=B X R B X R设全网电压为额定电压kV 220N =U ,计算功率分布:)MVA (j61.569872.71~~~)MVA (.2085j 22010152.221j ~)MVA (.6175j 444.1)3.63j 64.8(220952.55428.70~)MVA (5.9525j 428.70~~~)MVA (.2085j 22010152.221j ~)MVA (16.61j 428.70~~~)MVA (.1710j 041.0220)10.533j 10847.0()j (~)MVA (0.9896j 387.70~~~)MVA (.8287j 234.0)8.94j 46.1(220161.53153.70~)MVA (161.53j 153.70~~~)MVA (j23.161078.3020j 30~~)MVA (j30075.4030j 40~~)MVA (.1613j 078.0)7.117j 92.2(2202030~)MVA (075.0)0j 46.1(2203040~)MVA (538.12j 228.2010j 20~~)j2.538(MVA 228.0 220)1086.5j 10729.1()18.22j 95.13(2201020~~~ZB111B24YB12222ZB1YB111124YB11YT 112662N T T YT ZT121222ZT1322ZT33ZT22222ZT3222ZT2TB B 266222YTB ZTB TB +=∆+''='-=⨯⨯⨯-=∆+=+⨯+=∆+=∆+=''-=⨯⨯⨯-=∆+=∆+'=+=⨯⨯+⨯=+=∆+=∆+''='+=+⨯+=∆+='+'=''+=++∆='+=++∆='+=+⨯+=∆=+⨯+=∆+=++∆=+=⨯⨯+⨯++⨯+=∆+∆=∆------S S S S S S S S S S S S U B G S S S S S S S S S S S S S S S S S S S)MVA (6.4586j 46.93~~~)MVA (.1395j 24210755.121j ~)MVA (1.6247j 46.93~~~)MVA (.9726j 36.1)6.652j 2.5(220652.641.92~)MVA (j64.6521.92~~~)MVA (247.4j 22010755.121j ~)MVA (j68.8991.92j12.53820.228j56.361872.71~~~)MVA (j56.361872.71~~~YAB2AB A 24YAB2ZAB ABAB 222ZAB YAB11B AB24YAB1B 1B 1BYB121B1B +=∆+=-=⨯⨯⨯-=∆+=∆+'=+=+⨯+=∆+=∆+''='-=⨯⨯⨯-=∆+=+++=+=''+=∆+'=--S S S S S S S S S S S S S S S S S S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 (58.194741.16)566.13424.207(kV)(741.16424.20792.2161.237.117078.30)kV (566.13424.2077.117161.2392.2078.30)kV (142.207)211.0()282.0424.207()kV (211.0424.20746.1300075.40)kV (282.0424.20703046.1075.40)kV (424.207183.15)97.13838.220()kV (183.15838.22046.1989.609.48387.70)kV (97.13838.2209.48989.6046.1387.70)kV (838.220107.8)58.11269.232()kV (107.8269.23264.8569.616.33872.71)kV (58.11269.2326.33569.6164.8872.71)kV (269.232753.8)896.9242()kV (753.82422.5624.7165.2646.93)kV (896.924265.26624.712.546.932230T33T33ZT30T33T33ZT32220T22T22ZT20T22T22ZT22201T11T11ZT11T11T11ZT1221B B1B1B1B1B1B B1B1B1B1B122B A AB AB AB AB AB A AB AB AB AB AB =+-==⨯-⨯='-'==⨯+⨯='+'=∆=-+-=-=⨯-⨯='-'==⨯+⨯='+'=∆=+-==⨯-⨯='-'==⨯+⨯='+'=∆=+-==⨯-⨯='-'==⨯+⨯='+'=∆=+-==⨯-⨯=-==⨯+⨯=+=∆U U R Q X P U U X Q R P U U U R Q X P U U X Q R P U U U R Q X P U U X Q R P U U U R Q X P U U X Q R P U U U R Q X P U U X Q R P U δδδδδ∴110kV 侧的实际电压为:)kV (928.1132201212kV 110=⨯=U U 35kV 侧的实际电压为:)kV (052.342205.3835kV3=⨯=U U对于B 点, )MV A (254.12j 144.20).2840j 084.0(538.12j 228.20~~YTB B 0B +=+-+=∆-=S S S)kV (299.220188.18)722.12242()kV (188.18269.23295.13254.122.218144.20)kV (722.12269.2322.218254.1295.13144.2022BT B T 0B T 0B T1B T 0B T 0B T1=+-==⨯-⨯=-==⨯+⨯=+=∆U U R Q X P U U X Q R P U δ变压器1T 低压侧实际电压:)kV (552.382205.38BT kV 35B =⨯=U U 将计算结果标于图上:93.463-5解:~~~侧~~~侧设全网电压为额定电压kV 110N =U ,计算功率分布:)MVA (.4662j 17.0)1.294j 84.2(21110213.21111.30~)MVA (3.2132j 111.30~~~)MVA (j8.163038.108j 10~~)MVA (163.0j 038.0)24j 68.5(21110810)j (21~)MVA (j15.05073.2051j 20~~)MVA (05.0j 073.0)92.1j 84.2(211101520)j (21~222Z1321Z332223T 3T 2N 2323Z3Z222222T 2T 2N 2222Z2+=+⨯⨯+=∆+='+'='+=++∆='+=+⨯⨯+=+⨯+=∆+=++∆='+=+⨯⨯+=+⨯+=∆S S S S S S X R U Q P S S S X R U Q P S)MVA (j22.127289.31~~~)MVA (.8942j 115108.218j 21j ~)MVA (j25.021289.31~~~)MVA (.9891j 008.1)3.253j 86.16(21110032.23281.30~)MVA (j23.032281.30~~~)MVA (.6472j 110108.218j 21j ~)MVA (5.6792j 281.30~~~Y2AA 262A Y2Z 1A A222Z Y11A262N Y1Z111+=∆+''=-=⨯⨯⨯-=-=∆+=∆+'=''+=+⨯⨯+=∆+=∆+='-=⨯⨯⨯-=-=∆+=∆+'=--S S S BU S S S S S S S S BU S S S S根据给定电压kV 115A =U 计算各段电压:)kV (798.102935.0)216.101.104(kV)(935.001.10468.55.0163.8245.0038.105.05.0)kV (216.101.104245.0163.868.55.0038.105.05.0)kV (597.103)02.0()413.001.104()kV (02.001.10484.25.005.1592.15.0073.205.05.0)kV (413.001.10492.15.005.1584.25.0073.205.05.0)kV (01.104395.5)252.5122.109()kV (395.5122.10984.25.0796.2529.415.0281.305.05.0)kV (252.5122.10929.415.0796.2584.25.0281.305.05.0)kV (122.109689.2)911.5115()kV (689.211586.165.0021.2525.335.0289.315.05.0)kV (911.511525.335.0021.2586.165.0289.3121212230T33T33Z30T33T33Z32220T22T22ZT20T22T22Z2220A T1AT1A Z11T11T11Z1221A AA Z A A A Z =+-==⨯⨯-⨯⨯='-'==⨯⨯+⨯⨯='+'=∆=-+-=-=⨯⨯-⨯⨯='-'==⨯⨯+⨯⨯='+'=∆=+-==⨯⨯-⨯⨯=''-''==⨯⨯+⨯⨯=+=∆=+-==⨯⨯-⨯⨯=''-''==⨯⨯+⨯⨯=''+''=∆U U R Q X P U U X Q R P U U U R Q X P U U X Q R P U U U R Q X P U U X Q R P U U U R Q X P U U X Q R P U δδδδ变压器中、低压侧实际电压为:)kV (28.1011011)kV (259.361105.3832=⨯==⨯=U U U U 低中将计算结果标于图上:289.13侧侧3-6解:计算线路参数:)S (10721.124236010028.0100% )S (10244.324210001901000 )(263.233602421003.14100% )(389.036010002428601000:)S (10625.2701075.3 )(14.2170302.0 )(78.370054.0:)S (10875.41301075.3 )(26.39130302.0 )(02.7130054.0:522N N S T 622N 0T 2N 2N S T 222N 2N S T 462121212461111111------⨯=⨯==⨯=⨯==Ω=⨯==Ω=⨯⨯==⨯=⨯⨯==Ω=⨯==Ω=⨯==⨯=⨯⨯==Ω=⨯==Ω=⨯==U S I B U P G S U U X S U P R T l b B l x X l r R L l b B l x X l r R L(1) 设全网电压为额定电压kV 220N =U~~j130MVA270~B +=S ~21ABj87MVA180~C +=S)kV (21.1623026.39564.14002.7108.2762121)MVA (969.116j 108.276~~~)MVA (564.140j 108.276~~~)MVA (159.34j 108.6)]26.39j 02.7(21[220405.106270~)MVA (405.106j 270~~~)MVA (595.23j 22010875.4j ~~AA A12Y AAB ZAB B A 222AB 2N 2B 2B ZAB 11Y B B2411Y 12Y =⨯+⨯⨯='+'⨯=∆+=∆+'=+=∆+'='+=+⨯⨯+='+'=∆+=∆+='-=⨯⨯-=∆=∆-U X Q R P U S S S S S S Z U Q P S S S S S S l l l l)kV (845.224662.7)286.5230()kV (662.723078.3576.8214.21481.1812121)kV (286.523014.21576.8278.3481.1812121)MVA (9.8716j 481.181~~~)MVA (2.5768j 481.181~~~)MVA (.2818j 481.1)]14.21j 78.3(21[220295.74180~)MVA (4.2957j 180~~~)MVA (2.7051j 22010.6252j ~~)kV (86.21442.21)21.16230()kV (42.2123002.7564.14026.39108.276212122C A AA A AA 22Y AAC ZAC C A 222AC 2N 2C 2C ZAC 21Y C C2421Y 22Y 22B A A A=+-==⨯-⨯⨯='-'⨯='=⨯+⨯⨯=''+''⨯='∆+=∆+''=+=∆+'=''+=+⨯⨯+='+'=∆+=∆+='-=⨯⨯-=∆=∆=+-==⨯-⨯⨯='-'⨯=-U U R Q X P U U X Q R P U S S S S S S Z U Q P S S S S S S U U R Q X P U l l l l δδ即B 点电压为214.86kV ,C 点电压为224.845kV 。
目录1. 第一章 (2)2. 第二章 (2)2.1 习题2.1 (2)2.2. 习题2.2 (4)2.3. 习题2.3 (5)2.4. 习题2.4 (6)2.5. 习题2.5 (7)第三章 (8)3.1. 习题3.1 (8)3.2. 习题3.2 (10)3.3. 习题3.3 (12)3.4. 习题3.4 (13)第四章 (14)4.1. 习题4.1 (14)4.2. 习题4.2 (15)4.3. 习题4.3 (16)4.4. 习题4.4 (16)第五章 (17)5.1. 习题5.1 (17)5.2. 习题5.2 (18)5.3. 习题5.3 (19)1. 第一章略2. 第二章2.1 习题2.1500千伏线路有以下三种方案。
三种方案,导线水平排列,相间距11米。
求每公里电阻、电抗、电纳和电晕临界电压。
序号 截面积(mm 2) 直径(mm )分裂间距(mm ) 1 2*630/55 34.3 500 2 3*400/50 27.6 500 34*300/4023.9500(1)(2)(3) 解:1) 每公里电阻:线路为钢芯铝线,截面积630/55mm 2前者表示铝线部分额定截面积630 mm 2,后者表示钢线部分额定截面积55 mm 2,计算时不予考虑。
则:kmSr /0248.063022.31Ω=⨯==ρ;同理得:230.026,0.026r r =Ω=Ω2)、每公里电抗: 几何均距:3312231311000*11000*2200013859.13mm m D D D D ===12131(34.3/2)*50092.60mmn eq n r rd d d ===10.015713859.130.01570.06283ln0.06283ln 0.323/km 92.602m eq D x r n =+=+=Ω同理可得:22151.10mm 0.289/kmeq r x ==Ω,,33214.39mm 0.266/kmeq r x ==Ω,3)、每公里电纳:666117.4517.451010 3.4810S /km 13859.13ln ln 92.6meqb D r ---=⨯=⨯=⨯ ,同理:66233.8610S /km, 4.18610S /kmb b --=⨯=⨯4)、电晕临界电压:详细过程见《电力系统稳态分析》第三版,陈珩编。
电力系统分析第四版第十三章答案电力系统的稳定性分析包括()。
A.能量平衡B.功率平衡C.电压变化D.容量平衡E.负荷平衡()中,用来测定线路上负荷情况的是线型调节器,其特征参数为:电流或电压在线型调节器中的位置。
电力系统的稳定性分析在第四章节“可靠性”部分已进行过详细阐述。
下列关于电力系统可靠性的说法错误的是()。
A.电力系统无功功率水平与系统电压水平之间具有线性关系B.不同电压等级,不同有功功率等级之间具有正向联系C.不同时间变化条件下,同一负荷状态的运行时,同一个时间变化条件下,同一负荷状态下可以运行数天甚至数月的运行历史B.在非计划时刻(例如停电),一段稳定输出不影响另一段,但在非计划时候(例如停电)不能保证系统稳定根据电力部《电能质量管理暂行规定:用电人在满足一定安全使用要求期间生产、生活用电必须符合国家有关规定。
下列关于电力系统稳定性分析和设计方法中观点正确的是:A.负荷容量决定于电源类型;电源规模取决于电力系统的负荷特征、运行特性和潮流方向;负荷容量在一定范围内变化时,其相对变化幅度与所需保护和限制措施之间呈正相关关系。
•1.系统稳定性分析的工作方法是,采用()。
•A.平衡分析法B.稳定系数法C.稳定曲线法D.曲线型分析法电力系统分析中的稳定系数是指一定时期内,某一电网的最大负荷变化率(无功功率下降率)与电力系统的最大有功功率或无功功率之间的关系,即功率平衡系数(%)等于最大无功功率(%)A.平衡分析法在平衡电网系统总电源和总负荷方面有重要作用,它主要包括()。
B.平衡电网总体供电能力的作用主要是: a.对电力系统的稳定性起到调整作用。
对电网中某些重要设备的故障不能对系统的整体运行产生影响时,采用该方法进行调节性保护是安全可靠的。
C.对稳定系数较高的电力系统采用均衡分析法可获得较高水平的稳定率。
D.平衡分析法可获得系统运行状态的全局情况,包括系统的主要特征和主要变化形式。
故本题选C。