《电力系统分析理论》课程教学资源（PPT课件）第八章 不对称故障的分析计算

第八章不对称故障的分析计算·对称分量法电力系统的各序网络不对称短路的分析计算路时网络中电流和电歪鹤聲康非全相断线的分析计算SCU-SEEl-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 第八章 不对称故障的分析计算 • 对称分量法 • 电力系统的各序网络 • 不对称短路的分析计算 • 不对称短路时网络中电流和电 压的计算 • 非全相断线的分析计算

8.1对称分量法在不对称短路计算中的应用·对称分量法·序阻抗的概念·对称分量法在不对称短路计算中的应用SCU-SEEI-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 8.1 对称分量法在不对称短路 计算中的应用 • 对称分量法 • 序阻抗的概念 • 对称分量法在不对称短路 计算中的应用

1.对称分量法Lala2lalaoQ2+bohlb2Ic2laoIccOIb1正序零序负序Ib2IbSCU-SEEI-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 1.对称分量法 Ia Ic Ib Ia1 Ib1 Ic1 Ia2 Ib2 Ic2 Ia0 1 2 0 1 2 0 c c c b b b I I I I I I       = + + = + + a1 a2 a0 I I I    = + + c b a I I I    正序 负序 零序

la2in =α'iali, =ia + ia2 + iaoie = aiali, = ib + ib2 + IboIc2i,=ic +ic2 +icoI b2 = ai.a2laulc2 =a'i.i,-ia +ia, +iaoa2i, =α'ia +aia2 +iaoibo = ico = iaoi,=aia +a'ia2 +iaoSCU-SEEI-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 Ia1 Ib1 Ic1 Ia2 Ib2 Ic2 Ia0 1 2 b1 a I a I  =  c1 a1 I aI  =  b2 a2 I aI  =  2 2 c2 a I a I  =  b0 c0 a0 I I I  =  =  1 2 0 1 2 0 1 2 0 c c c c b b b b a a a a I I I I I I I I I I I I             = + + = + + = + + 2 0 2 1 1 2 0 2 1 2 0 c a a a b a a a a a a a I aI a I I I a I aI I I I I I             = + + = + + = + +

i, -i. +ia, + iaoi, =α2ia +aia2 +iaci,=ala +α?ia2 +iao1al02Ib1aaa22aaSCU-SEEl-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 1 1 1 1 1 0 2 1 2 2                     =           a a a c b a I I I a a a a I I I       2 0 2 1 1 2 0 2 1 2 0 c a a a b a a a a a a a I aI a I I I a I aI I I I I I             = + + = + + = + +

11":lbalaa2aaoCVaaLalLa12a1a2-a1b311alC对称分量变换矩阵SSCU-SEEI2025/8/7

SCU-SEEI-ltq 2025/8/7 1 1 1 1 1 3 1 2 2 0 2 1                     =           c b a a a a I I I a a a a I I I       对称分量 变换矩阵S 1 1 1 1 1 0 2 1 2 2                     =           a a a c b a I I I a a a a I I I      

2. 序阻抗Ia△VaaooaZaaZabIb一△bob0ZacZbbZbcIc一AVCoCOZccAV, = Zaai. +Zabi, +Z.ciSCU-SEEI-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 2.序阻抗 Va a a Ia Vb b b Ib Vc c c Ic Zaa Zbb Zcc Zac Zab Zbc a a a a a b b a c c V Z I Z I Z I   =  +  + 

ZZZAVIqabaaac6AVZZbbLrcabAVZZbcZacCC:SZIV120 = SAV= SZS-'I120 = Zscl120一abcabc= S-'I120aboSCU-SEEI-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 V120 = SVabc 120 1 I S I − abc = = SZI abc 120 120 1 SZS I Z I = = s c −                     =              c b a a c b c cc a b b b b c a a a b a c c b a I I I Z Z Z Z Z Z Z Z Z V V V      

元件结构参数完Zag = Zbb = Zcc = Z全对称时：Zab =Zbc =Zca =ZmZsc = SZS-1Z. Zm ZmaQna21 ZmZ.ZmaaOZZmZ.aQmmSCU-SEEI-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7 元件结构参数完 全对称时： a b b c ca m a a b b cc s Z Z Z Z Z Z Z Z = = = = = =                               = = − 1 1 1 1 1 1 1 1 1 1 3 1 2 2 2 2 1 a a a a Z Z Z Z Z Z Z Z Z a a a a m m s m s m s m m Zs c SZS

00[Z,-Z.m00Z.=Z,-Zm久SC00Z,+2Zm00Z00Z200ZoSCU-SEEI-Itq2025/8/7

SCU-SEEI-ltq 2025/8/7           =           + − − = 0 2 1 0 0 0 0 0 0 0 0 2 0 0 0 0 Z Z Z Z Z Z Z Z Z s m s m s m Zs c