工學(xué)電力系統(tǒng)不對稱故障的分析和計算PPT課件

1、2021-11-26 8-1 簡單不對稱短路的分析簡單不對稱短路的分析 8-2 電壓和電流對稱分量經(jīng)變壓器后的相位變換電壓和電流對稱分量經(jīng)變壓器后的相位變換 8-3 非全相斷線的分析非全相斷線的分析 8-4 應(yīng)用節(jié)點(diǎn)阻抗矩陣計算不對稱故障應(yīng)用節(jié)點(diǎn)阻抗矩陣計算不對稱故障第八章第八章 電力系統(tǒng)不對稱故障的分析和計算電力系統(tǒng)不對稱故障的分析和計算第1頁/共70頁2021-11-26序網(wǎng)方程序網(wǎng)方程 (0)ffjX (0)faV (0)faI (2)ffjX (2)faV (2)faI (0)fV (1)ffjX (1)faV (1)faI (0)(1)(1)(1)faffffaVVjXI(2)(2)

2、(2)fafffaVjXI (0)(0)(0)fafffaVjXI 8-1 簡單不對稱短路的分析簡單不對稱短路的分析第2頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路接地短路序分量邊界條件序分量邊界條件0, 0(1), 0fafbfcVII相量表示的邊界條件：(1)(2)(0)(1)(2)(0)(1)(2)(0)0002fafafafafbfbfbfbfcfcfcfcVVVVIIIIIIII( )對稱分量表示的邊界條件 0faV fbV fcV faI 0fbI 0fcI a b c (1)(2)(0)2(1)(2)(0)2(1

3、)(2)(0)0030fafafafafbfafafafcfafafaaVVVVIIIIIIII( )以 相為參考相(1)(2)(0)(1)(2)(0)0(8-42)fafafafafafaVVVIII( )序分量邊界條件：第3頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路接地短路聯(lián)立方程求解聯(lián)立方程求解 0faV fbV fcV faI 0fbI 0fcI a b c (1)(2)(0)(1)(2)(0)0(82)fafafafafafaVVVIII(0)(1)(1)(1)(2)(2)(2)(0)(0)(0) (8 1) fa

4、ffffafafffafafffaVVjXIVjXIVjXI(0)(1)(1)(2)(0) (83)()ffaffffffVIj XXX(0)(1)(1)(1)(2)(0)(1)(2)(2)(2)(0)(0)(0) (84)faffffafffffafafffafafffaVVjXIj XXIVjXIVjXI 第4頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路接地短路復(fù)合序網(wǎng)復(fù)合序網(wǎng) 0faV fbV fcV faI 0fbI 0fcI a b c (1)(2)(0)(1)(2)(0)0(82)fafafafafafaVVVII

5、I(0)(1)(1)(2)(0) (83)()ffaffffffVIj XXX (0)faI (2)faI (1)faI (0)fV (1)ffjX (1)faV (2)ffjX (2)faV (0)ffjX (0)faV (0)(1)(1)(1)(2)(0)(1)(2)(2)(2)(0)(0)(0) faffffafffffafafffafafffaVVjXIj XXIVjXIVjXI 第5頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路接地短路相量圖相量圖 (1)faI (1)fbI (1)fcI (2)faI (2)fcI

6、(2)fbI (0)faI faI (0)fbI (0)faI (0)fcI (2)faI (2)fbI (2)fcI (1)faI (1)fcI (1)fbI (1)faI以為參考相量 (1)faV (1)fbV (1)fcV (2)faV (2)fcV (1)faV (2)faV (0)faV fcV fbV (2)fbV (0)faV 0faV (1)(2)(0)(1)(2)(2)(1)(0)(0)(1)fafffffafafffafafffaVj XXIVjXIVjXI 第6頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路

7、接地短路故障點(diǎn)各相電流電壓故障點(diǎn)各相電流電壓222(1)(2)(0)(2)(0)(1)22(1)(2)(0)(2)(0)(1)0()(1)()(1)fafbfafafafffffafcfafafafffffaVVVVVjXXIVVVVjXXI(1)(2)(0)2(1)(2)(0)2(1)(2)(0)fafafafafbfafafafcfafafaIIIIIIIIIIII(0)(1)(1)(2)(0)3 () 0, 0fffafffffffbfcVIIj XXXII(1)(2)(0)(1)(2)(2)(1)(0)(0)(1), , fafffffafafffafafffaVj XXIVjXIVj

8、XI 第7頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路接地短路特例分析特例分析(0)(0(1)(1)(2)(0)(1)()3)0)1(3Case I ()fffaffffffffffffffVVIj XXXIXjXIX：(1)(2)(0),ffffffXXX：與系統(tǒng)中性點(diǎn)接地情況有關(guān) (1)faV (1)fbV (1)fcV (2)faV (2)fcV (2)fbV fbV fcV 0faV (0)Case II ffX：短路點(diǎn)靠近中性點(diǎn)直0，接接地點(diǎn)(1)(2)(0)(1)(2)(2)(1)(0)(0)(1)fafffffa

9、fafffafafffaVj XXIVjXIVjXI (0)0, 3 2fafbfcfVVVV第8頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路接地短路特例分析特例分析(1)(2)(0),ffffffXXX：與系統(tǒng)中性點(diǎn)接地情況有關(guān) (0)faV (0)fbV (0)fcV 0faV fbV fcV (0)(0)fafaVV 60 (1)fbV (1)fcV (0)Case III ffX ：中性點(diǎn)，不接地系統(tǒng)(1)(2)(0)(1)(2)(2)(1)(0)(0)(1)fafffffafafffafafffaVj XXIVjXI

10、VjXI (0)(0)0, 3fafbfcfabVVVVV(0)(0)(1)(2)(0), 0, fafafafafaVVVVV 2(1)(2)(0)22(1)(2)(0)(1)2(1)(2)(0)(1)=0(1)(1)fafafafafbfafafafafcfafafafaVVVVVVVVVVVVVV第9頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析1. 單相單相(a相相)接地短路接地短路特例分析特例分析(1)(2)(0),ffffffXXX：與系統(tǒng)中性點(diǎn)接地情況有關(guān)(2)(0)(2)(0)(1)Case IV 12fffffafafaXXVVV ：(1)(

11、2)(0)(1)(2)(2)(1)(0)(0)(1)fafffffafafffafafffaVj XXIVjXIVjXI (1)fbV (1)fcV (2)fcV (1)faV (2)faV (0)faV fcV fbV (2)fbV 0faV 120 第10頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析2. 兩相兩相(b相和相和c相相)短路短路序分量邊界條件序分量邊界條件, 0(1), 0fbfcfafbfcVVIII相量表示的邊界條件：(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)002fbfbfbfcfcfcf

12、afafafbfbfbfcfcfcVVVVVVIIIIIIIII( )對稱分量表示的邊界條件 faV fbfcVV 0faI fbI fcI a b c (1)(2)(1)(2)(0)40 (8-7)0fafafafafaVVIII( )序分量邊界條件：22(1)(2)(1)(2)(0)22(1)(2)(0)()()00()()203fafafafafafafafaVVIIIIIaI( )以 相為參考相第11頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析2. 兩相兩相(b相和相和c相相)短路短路聯(lián)立方程求解聯(lián)立方程求解(0)(1)(1)(1)(2)(2)(2)

13、(0)(0)(0) (8 1) faffffafafffafafffaVVjXIVjXIVjXI(0)(1)(1)(2) (88)()ffaffffVIj XX(2)(1)(1)(2)(2)(2)(2)(1)(0)(0)(0)(89)0fafafafafffafffafafffaIIVVjXIjXIVjXI (1)(2)(1)(2)(0),0 (87)0fafafafafaVVIII faV fbfcVV 0faI fbI fcI a b c 第12頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析2. 兩相兩相(b相和相和c相相)短路短路復(fù)合序網(wǎng)復(fù)合序網(wǎng) (0)

14、(1)(1)(2) (88)()ffaffffVIj XX (0)faI (2)faI (1)faI (0)fV (1)ffjX (2)ffjX (2)faV (0)ffjX (0)faV (1)faV faV fbfcVV 0faI fbI fcI a b c (1)(2)(1)(2)(0),0 (87)0fafafafafaVVIII(2)(1)(1)(2)(2)(1)(0)(0)(0)(89)0fafafafafffafafffaIIVVjXIVjXI 第13頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析2. 兩相兩相(b相和相和c相相)短路短路相量圖相

15、量圖 (1)faI (1)fbI (1)fcI (2)faI (2)fcI (2)fbI fbI (1)faV (1)fcV (1)fbV fcI (2)fbV (2)fcV fbV fcV faV (1)faI以為參考相量 第14頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析2. 兩相兩相(b相和相和c相相)短路短路故障點(diǎn)各相電流電壓故障點(diǎn)各相電流電壓(1)(2)(0)(1)(2)(1)2(1)(2)(0)(1)2(1)(2)(0)(1)2222fafafafafafffafbfafafafafafcfafafafafaVVVVVj XIVVVVVVVVVV

16、VV (1)(2)(0)22(1)(2)(0)(1)(1)(1)+ 0+ ()33fafafafafbfafafafafafcfbfaIIIIIIIIIjIIIjI (2)(1)(0)(1)(2)(2)(1)(0)(0)(0), 0, , 0fafafafafafffafafffaIIIVVjXIVjXI faV fbfcVV 0faI fbI fcI a b c 第15頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析3. 兩相兩相(b相和相和c相相)短路接地短路接地序分量邊界條件序分量邊界條件(1)0, 0fbfcfaVVI相量表示的邊界條件：(1)(2)(0

17、)(1)(2)(0)(1)(2)(0)0002fbfbfbfcfcfcfafafaVVVVVVIII( )對稱分量表示的邊界條件 faV 0fbfcVV 0faI fbI fcI a b c (1)(2)(0)(1)(2)(0)(8-13)04fafafafafafaVVVIII( )序分量邊界條件：2(1)(2)(0)2(1)(2)(0)(1)(2)(0)0003fafafafafafafafafaVVVVVVIIaI( )以 相為參考相第16頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析3. 兩相兩相(b相和相和c相相)短路接地短路接地聯(lián)立方程求解聯(lián)立方程

18、求解(0)(1)(1)(1)(2)(2)(2)(0)(0)(0) (8 1) faffffafafffafafffaVVjXIVjXIVjXI(0)(1)(1)(2)(0) (8 14)(/)ffaffffffVIj XXX(0)(2)(1)(2)(0)(2)(0)(1)(2)(0)(8 15)fffafafffffffafaffffXIIXXXIIXX faV 0fbfcVV 0faI fbI fcI a b c (1)(2)(0)(1)(2)(0)(8-13)0fafafafafafaVVVIII(2)(0)(1)(2)(0)(1)(2)(0)fffffafafafaffffXXVVVjI

19、XX第17頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析3. 兩相兩相(b相和相和c相相)短路接地短路接地復(fù)合序網(wǎng)復(fù)合序網(wǎng) (0)faI (2)faI (1)faI (0)fV (1)ffjX (2)ffjX (2)faV (0)ffjX (0)faV (1)faV (1)(2)(0)(1)(2)(0)(8-13)0fafafafafafaVVVIII(0)(1)(1)(2)(0) (/)ffaffffffVIj XXX(2)(0)(1)(2)(0)(1)(2)(0)fffffafafafaffffXXVVVjIXX(0)(2)(1)(2)(0)(2)(0)(

20、1)(2)(0)fffafafffffffafaffffXIIXXXIIXX faV 0fbfcVV 0faI fbI fcI a b c 第18頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析3. 兩相兩相(b相和相和c相相)短路接地短路接地相量圖相量圖 (1)faV (1)fbV (1)fcV (2)faV (2)fcV (2)fbV (0)faV faV (1)faI (2)faI (0)faI fcI fbI 0faI (1)fcI (1)fbI (2)fcI (2)fbI 第19頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路

21、的分析3. 兩相兩相(b相和相和c相相)短路接地短路接地故障點(diǎn)各相電流電壓故障點(diǎn)各相電流電壓(2)(0)(1)(2)(0)(1)(1)(2)(0)30fffffafafafafafafffffbfcXXVVVVVjIXXVV(1)(2)(0)(2)(0)22(1)(2)(0)(1)(2)(0)2(2)(0)2(1)(2)(0)(1)(2)(0)+ 0+ + fafafafafffffbfafafafafffffffffcfafafafaffffIIIIXXIIIIIXXXXIIIIIXX(2)(0)(1)(2)(0)(1)(2)(0)fffffafafafaffffXXVVVjIXX(0)(1

22、)(1)(2)(0) (/)ffaffffffVIj XXX第20頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析3. 兩相兩相(b相和相和c相相)短路接地短路接地故障點(diǎn)入地電流故障點(diǎn)入地電流(2)(0)(1)(2)(0)(1)(2)(0)fffffafafafaffffXXVVVjIXX(0)(1)(1)(2)(0) (/)ffaffffffVIj XXX faV 0fbfcVV 0faI fbI fcI a b c eI (2)(0)(1)(2)(0)33 ffefafbfcfaffffXIIIIIXX (0)(0)(1)(0)(1)(0)(2)33fefa

23、ffffffffffVIIjXXXXX第21頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析小結(jié)小結(jié)簡單不對稱短路的分析方法小結(jié)簡單不對稱短路的分析方法小結(jié)制定制定各序網(wǎng)絡(luò)各序網(wǎng)絡(luò)；根據(jù)系統(tǒng)運(yùn)行方式確定故障口正常；根據(jù)系統(tǒng)運(yùn)行方式確定故障口正常電壓、各序輸入阻抗，建立電壓、各序輸入阻抗，建立序網(wǎng)方程序網(wǎng)方程；(Chapter 7)根據(jù)故障情況選取參考相，確定用根據(jù)故障情況選取參考相，確定用序分量表示的邊序分量表示的邊界條件界條件；由序網(wǎng)方程和序分量邊界條件求解由序網(wǎng)方程和序分量邊界條件求解故障口電流電壓故障口電流電壓各序分量各序分量(復(fù)合序網(wǎng)、復(fù)合序網(wǎng)、方程求解

24、等方程求解等)；對電流電壓各序分量進(jìn)行綜合即可得到對電流電壓各序分量進(jìn)行綜合即可得到故障口的電故障口的電流和電壓相量流和電壓相量。第22頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析序分量邊界條件序分量邊界條件 faV fbfcVV 0faI fbI fcI a b c 0faV fbV fcV faI 0fbI 0fcI a b c faV 0fbfcVV 0faI fbI fcI a b c eI (1)f(1)(2)(0)(1)(2)(0)0fafafafafafaVVVIII(1)(2)(1)(2)(0)0,0fafafafafaVVIII(1)(2)

25、(0)(1)(2)(0)0fafafafafafaVVVIII(2)f(1,1)f(1)關(guān)于故障特殊相和參考相關(guān)于故障特殊相和參考相使序分量邊界條件表達(dá)式簡單使序分量邊界條件表達(dá)式簡單第23頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析復(fù)合序網(wǎng)復(fù)合序網(wǎng) (0)faI (2)faI (1)faI (0)fV (1)ffjX (2)ffjX (2)faV (0)ffjX (0)faV (1)faV (0)faI (2)faI (1)faI (0)fV (1)ffjX (2)ffjX (2)faV (0)ffjX (0)faV (1)faV (0)faI (2)fa

26、I (1)faI (0)fV (1)ffjX (1)faV (2)ffjX (2)faV (0)ffjX (0)faV (1)f(2)f(1,1)f(0)(1)(1)(2)(0) (/)ffaffffffVIj XXX(0)(1)(1)(2) ()ffaffffVIj XX(0)(1)(1)(2)(0) ()ffaffffffVIj XXX第24頁/共70頁2021-11-268-1 簡單不對稱短路的分析簡單不對稱短路的分析正序等效定則正序等效定則(0)( )(1)( )(1) ()fnfanffVIj XX(1)f(2)f(3)f(1,1)f 0(2)(0) ffffXX(2) ffX(2)

27、(0) /ffffXX(1)faI (0)fV (1)ffjX (1)faV ( )njX 故障類型故障類型 附加電抗附加電抗 復(fù)合序網(wǎng)復(fù)合序網(wǎng)( ) nX第25頁/共70頁2021-11-26(1) 單相單相(a相相)非金屬性接地短路非金屬性接地短路序分量邊界條件序分量邊界條件, 0,( )01 faffafbfcVz III相量表示的邊界條件：(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)()002fafafafaffafafafbfbfbfbfcfcfcfcVVVVzIIIIIIIIIII( )對稱分量表示的邊界條件 faV fbV fcV faI 0fbI 0

28、fcI a b c fz (1)(2)(0)(1)(2)(0)2(1)(2)(0)2(1)(2)(0)()003fafafafaffafafafbfafafafcfafafaVVVVzIIIIIIIIIIaI( )以 相為參考相(1)(2)(0)(1)(1)(2)(0)43fafafaffafafafaVVVz IIII( )序分量邊界條件：8-1 簡單不對稱短路的分析簡單不對稱短路的分析非金屬性短路非金屬性短路第26頁/共70頁2021-11-26(1) 單相單相(a相相)非金屬性接地短路非金屬性接地短路復(fù)合序網(wǎng)復(fù)合序網(wǎng) faV fbV fcV faI 0fbI 0fcI a b c fz

29、(1)(2)(0)(1)(1)(2)(0)3fafafaffafafafaVVVz IIII8-1 簡單不對稱短路的分析簡單不對稱短路的分析非金屬性短路非金屬性短路 (0)faI (2)faI (1)faI (0)fV (1)ffjX (1)faV (2)ffjX (2)faV (0)ffjX (0)faV fz fz fz faV fbV fcV faI 0fbI 0fcI a b c fz EQU第27頁/共70頁2021-11-26(2) 兩相兩相(b相和相和c相相)非金屬性短路非金屬性短路序分量邊界條序分量邊界條件件, 0,0fbffbfcffcfafbfcVz IVz IIII(1)

30、(1)(2)(1)(1)(2)(0)40,0faffafaffafafafaVz IVz IIII( )序分量邊界條件：8-1 簡單不對稱短路的分析簡單不對稱短路的分析非金屬性短路非金屬性短路(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)()()00fbfbfbffbfbfbfcfcfcffcfcfcfafafafbfbfbfcfcfcVVVzIIIVVVzIIIIIIIIIIII22(1)(2)22(1)(2)(1)(2)(0)22(1)(2)(0)()() ()()0()()20fafaffafafafafaf

31、afafaVVzIIIIIIII faV fbV 0faI fbI fcI a b c fz fz fcV 第28頁/共70頁2021-11-26(2) 兩相兩相(b相和相和c相相)非金屬性短路非金屬性短路復(fù)合序網(wǎng)復(fù)合序網(wǎng)8-1 簡單不對稱短路的分析簡單不對稱短路的分析非金屬性短路非金屬性短路 (0)faI (2)faI (1)faI (0)fV (1)ffjX (1)faV (2)ffjX (2)faV (0)ffjX (0)faV fz fz fz EQU faV fbV 0faI fbI fcI a b c fz fz fcV (1)(1)(2)(2)(1)(2)(0)0,0faffaf

32、affafafafaVz IVz IIII序分量邊界條件： faV fbV 0faI fbI fcI a b c fz fz fcV fz 第29頁/共70頁2021-11-26(2) 兩相兩相(b相和相和c相相)非金屬性短路接地非金屬性短路接地復(fù)合序網(wǎng)復(fù)合序網(wǎng)8-1 簡單不對稱短路的分析簡單不對稱短路的分析非金屬性短路非金屬性短路 (0)faI (2)faI (1)faI (0)fV (1)ffjX (1)faV (2)ffjX (2)faV (0)ffjX (0)faV 3gz (1)(2)(0)(0)(1)(2)(0)30fafafagfafafafaVVVz IIII序分量邊界條件：

33、faV fbV 0faI fbI fcI a b c fcV gz eI 第30頁/共70頁2021-11-26(3) 兩相兩相(b相和相和c相相)非金屬性短路接地非金屬性短路接地復(fù)合序網(wǎng)復(fù)合序網(wǎng)8-1 簡單不對稱短路的分析簡單不對稱短路的分析非金屬性短路非金屬性短路 fz (0)faI (2)faI (1)faI (0)fV (1)ffjX (1)faV (2)ffjX (2)faV (0)ffjX (0)faV 3gz fz fz (1)(1)(2)(2)(0)(0)(1)(2)(0)(3)0faffafaffafafgfafafafaVz IVz IVzzIIII序分量邊界條件： faV

34、 fbV 0faI fbI fcI a b c fz fz fcV gz faV fbV 0faI fbI fcI a b c fz fz fcV gz fz EQU第31頁/共70頁2021-11-26(3) 兩相兩相(b相和相和c相相)非金屬性短路接地非金屬性短路接地序分量邊界條件序分量邊界條件0()0()0fafbffbgfbfcfcffcgfbfcIVz IzIIVz IzII8-1 簡單不對稱短路的分析簡單不對稱短路的分析非金屬性短路非金屬性短路22(1)(2)(0)(1)(2)(0)(0)22(1)(2)(0)(1)(2)(0)(0)(1)(2)(0)()30()300fafafa

35、ffafafagfafafafaffafafagfafafafaVVVzIIIz IVVVzIIIz IIII faV fbV 0faI fbI fcI a b c fz fz fcV gz (1)(1)(2)(2)(0)(0)(1)(2)(0)(3)0faffafaffafafgfafafafaVz IVz IVzzIIII第32頁/共70頁2021-11-261. 不對稱故障電壓電流分布計算不對稱故障電壓電流分布計算舉例舉例8-2 電壓和電流對稱分量經(jīng)變壓器后的相位變換電壓和電流對稱分量經(jīng)變壓器后的相位變換 f T-3 G1 T-1 LD I II G2 I II 1nx 2nx T-2

36、T-4 I III II I II L-1 L-2 L-3 L-4 1GI 1GV 1LI 1LV 11 (1)1 (2)1 (0)11 (1)1 (2)1 (0)11 (1)1 (2)1 (0)G AG AG AG AG BG BG BG BG CG CG CG CIIIIIIIIIIII11 (1)1 (2)1 (0)11 (1)1 (2)1 (0)11 (1)1 (2)1 (0)G AG AG AG AG BG BG BG BG CG CG CG CVVVVVVVVVVVV11 (1)1 (2)1 (0)11 (1)1 (2)1 (0)11 (1)1 (2)1 (0)L aL aL aL

37、 aL bL bL bL bL cL cL cL cIIIIIIIIIIII第33頁/共70頁2021-11-26 (2)faV (2)faI 1LjX 2LjX 1(2)GjX T1jX IjX IIjX IIIjX LDZ 4LjX T4jX G2(2)jX T1jX 1 (2)G aV 1 (2)L aV 1 (2)G aI 1 (2)L aI (1)faV (1)faI 1LjX 2LjX 1(1)GjX 1E T1jX IjX IIjX IIIjX 2E LDZ 4LjX T4jX G2(1)jX 1 (1)G aV 1 (1)L aV 1 (1)G aI 1 (1)L aI (0)

38、faV (0)faI 1(0)LjX 2(0)LjX 13nj x IjX IIjX IIIjX 23nj x 3(0)LjX T3jX T1jX 1 (0)0G aV 1 (0)L aV 1 (0)0G aI 1 (0)L aI 1. 不對稱故障電壓電流分布計算不對稱故障電壓電流分布計算舉例舉例 (0)ffjX (0)faV (0)faI (2)ffjX (2)faV (2)faI (0)fV (1)ffjX (1)faV (1)faI 第34頁/共70頁2021-11-261. 不對稱故障電壓電流分布計算不對稱故障電壓電流分布計算基本步驟基本步驟不對稱故障電壓電流分布計算不對稱故障電壓電流

39、分布計算由序網(wǎng)方程和序分量邊界條件求解由序網(wǎng)方程和序分量邊界條件求解故障口電流電壓故障口電流電壓各序分量各序分量(復(fù)合序網(wǎng)、復(fù)合序網(wǎng)、方程求解等方程求解等)；由各序網(wǎng)絡(luò)計算電流電壓各序分量的分布情況；由各序網(wǎng)絡(luò)計算電流電壓各序分量的分布情況；對某一節(jié)點(diǎn)各序電壓分量或者支路各序電流分量進(jìn)對某一節(jié)點(diǎn)各序電壓分量或者支路各序電流分量進(jìn)行綜合即可得到行綜合即可得到相應(yīng)的電壓和電流相量；相應(yīng)的電壓和電流相量；必須注意對稱分量經(jīng)過變壓器后的必須注意對稱分量經(jīng)過變壓器后的相位變換相位變換問題。問題。第35頁/共70頁2021-11-261. 不對稱故障電壓電流分布計算不對稱故障電壓電流分布計算基本特點(diǎn)基本特

40、點(diǎn)不對稱故障電壓電流對稱分量分布的特點(diǎn)不對稱故障電壓電流對稱分量分布的特點(diǎn)電源點(diǎn)負(fù)序電壓為零；電源點(diǎn)負(fù)序電壓為零；正序電壓在電源點(diǎn)最高，短路點(diǎn)最低；正序電壓在電源點(diǎn)最高，短路點(diǎn)最低；故障點(diǎn)零序和負(fù)序電壓最高；故障點(diǎn)零序和負(fù)序電壓最高；變壓器三角側(cè)零序電壓為零；變壓器三角側(cè)零序電壓為零；網(wǎng)絡(luò)中各點(diǎn)三相電壓不對稱程度主要決定于負(fù)序分網(wǎng)絡(luò)中各點(diǎn)三相電壓不對稱程度主要決定于負(fù)序分量，負(fù)序分量愈大，電壓愈不對稱。量，負(fù)序分量愈大，電壓愈不對稱。第36頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(1) 變壓器繞組聯(lián)結(jié)組別及時鐘定則變壓器繞組

41、聯(lián)結(jié)組別及時鐘定則 I II L H Y -11 ABV 30 abV 30jNABabVkeV I II L H Y -1 ABV 30 abV 30jNABabVkeV I II L H Y -12 ABV abV 30jNABabVkeV I II L H -12 ABV abV 30jNABabVkeV 第37頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換, , AaBbCcVkVVkVVkV111, , AaBbCcIIIIIIkkk12Y Y 12, NNk

42、VVkk繞組聯(lián)結(jié)組別： / -變比： X Y Z x y z A B C a b c AI BI CI aI bI cI Y/Y-12 (1)BV (1)AV (1)CV (1)bV (1)aV (1)cV (2)CV (2)AV (2)BV (2)cV (2)aV (2)bV 第38頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換 AXE byE axE czE aV bV cV AV BV CV BYE CZE X Y Z x y z A B C a b c AAXa

43、xaccaBBYbybaabCCZczcbbcVEk Ek Vk VVEk Ek Vk VVEk Ek Vk V 111, , AcaBabCbcIIIIIIkkk12Y11, 3NNkVVkk繞組聯(lián)結(jié)組別： / -變比： X Y Z x y z A B C a b c AI BI CI caI abI bcI aI bI cI Y/ -11 第39頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換電流序分量電流序分量111, , AcaBabCbcIIIIIIkkk (1

44、)AI (1)CI (1)abI (1)caI (1)aI (1)cI (1)bcI (1)bI (1)BI 30 (1)aI X Y Z x y z A B C a b c AI BI CI caI abI bcI aI bI cI Y/ -11 , , acaabbabbccbccaIIIIIIIII (1)BI (2)bcI (2)caI (2)aI (2)bI (2)abI (2)cI (2)CI 30 (2)aI (2)AI 12, 3NNkVVkk第40頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓

45、器后的相位變換對稱分量經(jīng)變壓器后的相位變換電流序分量電流序分量 (1)AI (1)CI (1)abI (1)caI (1)aI (1)cI (1)bcI (1)bI (1)BI 30 (1)aI X Y Z x y z A B C a b c AI BI CI caI abI bcI aI bI cI Y/ -11 (1)BI (2)bcI (2)caI (2)aI (2)bI (2)abI (2)cI (2)CI 30 (2)aI (2)AI 0030(1)(1)30(2)(2)jaAjaAIkeIIkeI第41頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電

46、流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換電壓序分量電壓序分量AAXaxaccaBBYbybaabCCZczcbbcVEk Ek Vk VVEk Ek Vk VVEk Ek Vk V AXE byE axE czE aV bV cV AV BV CV BYE CZE X Y Z x y z A B C a b c (1)abV (1)bcV (1)BV (1)AV (1)ABV (1)CAV (1)CV (1)BCV (1)caV 30 (1)ABV (2)bcV (2)abV (2)CV (2)AV (2)ABV (2)BCV (2)BV (

47、2)CAV (2)caV 30 (2)ABV 第42頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換電壓序分量電壓序分量 (1)abV (1)bcV (1)BV (1)AV (1)ABV (1)CAV (1)CV (1)BCV (1)caV 30 (1)ABV 30(1)(1)30(2)(2)11jabABjabABVeVkVeVk AXE byE axE czE aV bV cV AV BV CV BYE CZE X Y Z x y z A B C a b c (2)b

48、cV (2)abV (2)CV (2)AV (2)ABV (2)BCV (2)BV (2)CAV (2)caV 30 (2)ABV 第43頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換電壓序分量電壓序分量 (1)BV (1)AV (1)ABV (1)CAV (1)CV (1)BCV (1)abV (1)caV 30 (1)aV (1)cV (1)bV (1)AV (1)bcV AAXaxaccaBBYbybaabCCZczcbbcVEk Ek Vk VVEk Ek Vk

49、 VVEk Ek Vk V AXE byE axE czE aV bV cV AV BV CV BYE CZE X Y Z x y z A B C a b c (2)bcV (2)abV (2)CV (2)AV (2)ABV (2)BCV (2)BV (2)CAV (2)caV 30 (2)aV (2)cV (2)bV (2)AV 第44頁/共70頁2021-11-262. 電壓電流對稱分量經(jīng)變壓器后的相位變換電壓電流對稱分量經(jīng)變壓器后的相位變換(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換電壓序分量電壓序分量 AXE byE axE czE aV bV cV AV BV CV

50、 BYE CZE X Y Z x y z A B C a b c 0030(1)(1)30(2)(2)11jaAjaAVeVkVeVk (2)bcV (2)abV (2)CV (2)AV (2)ABV (2)BCV (2)BV (2)CAV (2)caV 30 (2)aV (2)cV (2)bV (2)AV (1)BV (1)AV (1)ABV (1)CAV (1)CV (1)BCV (1)abV (1)caV 30 (1)aV (1)cV (1)bV (1)AV (1)bcV 第45頁/共70頁2021-11-26(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換應(yīng)用舉例應(yīng)用舉例

51、 G1 I II 0.12nx 20.140.14dxx 0.12Tx Y/ -11 (1)f (1)fAV (1)fAI (1)GjX 1.0Ej TjX (1)GAV (1)GAI (0)fAV (0)fAI 3nj x TjX (2)fAV (2)fAI (2)GjX TjX (2)GAV (2)GAI (1)(2)(0)Step 1:0.26,0.48ffffffXXX作各序網(wǎng)絡(luò): (0)(1)(1)(2)(0)Step 2:1.01.0()(0.260.260.48)ffAffffffVjIj XXXj計算故障口電流正序分量(2)(0)(1)(1)(2)(0)(1)Step 3:1.

52、0, ()0.74fAfAfAfAfffffAIIIVj XXIj計算故障口電流各序分量計算發(fā)電機(jī)各相電流303030(1)(1)(1)303030(2)(2)(1)(0)Step 4:0jjjGaGAfAjjjGaGAfAGaIIeIeeIIeIeeI計算發(fā)電機(jī)端電流各序分量第46頁/共70頁2021-11-26(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換應(yīng)用舉例應(yīng)用舉例 G1 I II 0.12nx 20.140.14dxx 0.12Tx Y/ -11 (1)f (0)fAV (0)fAI 3nj x TjX 計算發(fā)電機(jī)各相電流3030(1)(2)(0)29090b(1)

53、(2)(0)2150150c(1)(2)(0)Step 5:303jjGaGaGaGajjGGaGaGajjGGaGaGaIIIIeeIIIIeeIIIIee 計算發(fā)電機(jī)端各相電流(1)(2)(0)(1)(2)(2)(1)(0)(0)(1)Step 6:()0.740.26, 0.48fAfffffAfAfffAfAfffAVj XXIjVjXIjVjXIj 計算故障口電壓各序分量(1)(1)(1)(2)(2)(2)(0)Step 7:0.740.120.860.260.120.140GAfATfAGAfATfAGAVVjX IjjjVVjX IjjjV 計算發(fā)電機(jī)端電壓各序分量 (1)fAV

54、 (1)fAI (1)GjX 1.0Ej TjX (1)GAV (1)GAI (2)fAV (2)fAI (2)GjX TjX (2)GAV (2)GAI 第47頁/共70頁2021-11-26(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換應(yīng)用舉例應(yīng)用舉例 G1 I II 0.12nx 20.140.14dxx 0.12Tx Y/ -11 (1)f (0)fAV (0)fAI 3nj x TjX 計算發(fā)電機(jī)各相電流(1)(1)(1)(2)(2)(2)(0)3030(1)(1)(2)(2)(0)Step 7:0.740.120.860.260.120.140,0GAfATfAGA

55、fATfAGAjjGaGAGaGAGaVVjX IjjjVVjX IjjjVVVeVVeV 計算發(fā)電機(jī)端電壓各序分量 (1)fAV (1)fAI (1)GjX 1.0Ej TjX (1)GAV (1)GAI (2)fAV (2)fAI (2)GjX TjX (2)GAV (2)GAI 3030(1)(2)(0)(1)(2)29090(1)(2)(0)(1)(2)2150150(1)(2)(0)(1)(2)Step 8:jjGaGaGaGaGAGAjjGbGaGaGaGAGAjjGcGaGaGaGAGAVVVVVeVeVVVVVeVeVVVVVeVe計算發(fā)電機(jī)端各相電壓第48頁/共70頁2021

56、-11-26(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換應(yīng)用舉例應(yīng)用舉例A A A A C B a b c NI Y/ -11 Y/11YAB思考題：變壓器繞組聯(lián)結(jié)組別為， 側(cè)相間施加電壓至產(chǎn)生額定電流，試問： 側(cè)各電流表讀數(shù)應(yīng)為多少？第49頁/共70頁2021-11-26(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換說明說明Y1（ ）變壓器一相等值電路不考慮相移的原因：陣對稱性 TZ 1:1k p q 1pqqpTYYkZ 1:1k TZ p q qI pI pV 30je 303011jjqppqTppII k ek eYZVV 1:1k TZ p q p

57、I qV 30je 303011jjpqTqpTqqIV k eZk eYZVV 第50頁/共70頁2021-11-26(2)對稱分量經(jīng)變壓器后的相位變換對稱分量經(jīng)變壓器后的相位變換說明說明2沒有 因?yàn)椋?）各序一相等值電同一序的電壓和電流路不考慮相移對分量經(jīng)過變壓器計后算結(jié)的相果的影響：移相同. (1)faV (1)faI 1LjX 2LjX 1(1)GjX 1E T1jX IjX IIjX IIIjX 2E LDZ 4LjX T4jX G2(1)jX 1 (1)G aV 1 (1)L aV 1 (1)G aI 1 (1)L aI (2)faV (2)faI 1LjX 2LjX 1(2)Gj

58、X T1jX IjX IIjX IIIjX LDZ 4LjX T4jX G2(2)jX T1jX 1 (2)G aV 1 (2)L aV 1 (2)G aI 1 (2)L aI 第51頁/共70頁2021-11-268-3 非全相斷線的分析計算非全相斷線的分析計算1. 對稱分量法分析非全相斷線對稱分量法分析非全相斷線序網(wǎng)方程序網(wǎng)方程a b c f f a b c f f a b c f f (1)FV 2(1)FV (1)FV (2)FV (2)FV 2(2)FV (0)FV (0)FV (0)FV FbI FcI FaI (1)FI (1)FV (0)ffV (1)FFZ (2)FI (2)

59、FV (2)FFZ (0)FI (0)FV (0)FFZ (0)(1)(1)(1)(2)(2)(2)(0)(0)(0) (824) FffFFFFFFFFFFFVVZIVZIVZI(0)(1)(2)(0):,:ffFFFFFFVffffffZZZff故障口的開路電壓 即當(dāng)兩點(diǎn)間三相斷開時 網(wǎng)絡(luò)內(nèi)電勢源在端口產(chǎn)生的電壓、故障口的各序輸入阻抗第52頁/共70頁2021-11-268-3 非全相斷線的分析計算非全相斷線的分析計算2. 非全相斷線與不對稱短路的區(qū)別非全相斷線與不對稱短路的區(qū)別 L f f G2 G1 L G2 f G1 (1)Lz 1(1)Gz 1E G2(1)z 2E f f (1)

60、FV (1)FI (2)Lz 1(2)Gz G2(2)z f f (2)FV (2)FI (0)Lz 1(0)Gz G2(0)z f f (0)FV (0)FI (1)Lz 1(1)Gz 1E G2(1)z 2E f (1)FV (1)FI (2)Lz 1(2)Gz G2(2)z f (2)FV (2)FI (0)Lz 1(0)Gz G2(0)z f (0)FV (0)FI 第53頁/共70頁2021-11-268-3 非全相斷線的分析計算非全相斷線的分析計算3. 非全相斷線的故障邊界條件非全相斷線的故障邊界條件a b c f f a b c f f 單相單相(a相相)斷線斷線 兩相兩相(b相