第08章 電力系統(tǒng)不對(duì)稱(chēng)故障的分析和計(jì)算
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1、Huazhong University of Science and Technology 電力系統(tǒng)分析電力系統(tǒng)分析 ( I ) 石東源石東源 2012-2013學(xué)年度第一學(xué)期學(xué)年度第一學(xué)期 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)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(jì)算不對(duì)稱(chēng)故障應(yīng)用節(jié)點(diǎn)阻抗矩陣計(jì)算不對(duì)稱(chēng)故障 8-5 復(fù)雜故障的計(jì)算方法復(fù)雜故障的計(jì)算方法 第八章第八章 電力系統(tǒng)不對(duì)稱(chēng)故障的分析和計(jì)算電力系統(tǒng)不對(duì)稱(chēng)故障的分析和計(jì)算 第八章第八章 電力系統(tǒng)不對(duì)稱(chēng)故障的分
2、析和計(jì)算電力系統(tǒng)不對(duì)稱(chēng)故障的分析和計(jì)算 本章主要內(nèi)容本章主要內(nèi)容 各種簡(jiǎn)單不對(duì)稱(chēng)故障的各種簡(jiǎn)單不對(duì)稱(chēng)故障的序分量邊界條件序分量邊界條件 復(fù)合序網(wǎng)復(fù)合序網(wǎng)的概念和的概念和正序等效定則正序等效定則 電壓電流對(duì)稱(chēng)分量經(jīng)過(guò)變壓器后的電壓電流對(duì)稱(chēng)分量經(jīng)過(guò)變壓器后的相位變換相位變換 利用利用阻抗矩陣阻抗矩陣計(jì)算不對(duì)稱(chēng)故障的原理和方法計(jì)算不對(duì)稱(chēng)故障的原理和方法 序網(wǎng)方程序網(wǎng)方程 (1)(1)(1)faeqfffaVEZI(2)(2)(2)fafffaVZI (0)(0)(0)fafffaVZI (2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(1)faI(1)ffjX(1)faV
3、(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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(duì)稱(chēng)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)(2)(0)0030fafafafafbfafafafcfafafaaVVVVIIIIIIII( )以 相為參考相(1)(2)(0)(1
4、)(2)(0)0(8-42)fafafafafafaVVVIII( )序分量邊界條件:8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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) faffffafafffafafffaVVjXIVjXIVjXI(0)(1)(1)(2)(0) (83)()ffaffffffVIj XXX(0)(1)(1)(1)(2)(0)
5、(1)(2)(2)(2)(0)(0)(0) (84)faffffafffffafafffafafffaVVjXIj XXIVjXIVjXI 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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)fafafafafafaVVVIII(0)(1)(1)(2)(0) (83)()ffaffffffVIj XXX(0)(1)(1)(1)(2)(0)(1)(2)(2)(2)(0)(0)(0) faffffafffffafafffafafff
6、aVVjXIj XXIVjXIVjXI 將各序網(wǎng)絡(luò)在將各序網(wǎng)絡(luò)在故障端口連接起來(lái)故障端口連接起來(lái)所構(gòu)成的網(wǎng)絡(luò)所構(gòu)成的網(wǎng)絡(luò) (1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 1. 單相單相(a相相)接地短路接地短路故障點(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)(
7、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 XXIVjXIVjXI 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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 (2)fbI (0)faI faI (0)fbI (0)faI (0)fcI (2)faI
8、 (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 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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(I&II) (0)(0(1)(1)(2)(0)(1)()3)0)1(3Case I ()fffaf
9、fffffffffffffVVIj 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)(1(0)(01)(0fafffffaffaafffafafffaVj XXIVjXIVVjXI (0)0, 32fafbfcfVVVV(1)(2)(0)2faffaVVV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 1. 單相單相(a相相)接地短路接地短路特例
10、分析特例分析(III) (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 XXIVjXIVjXI (0)(0)0, 3fafbfcfabVVVVV(0)(0)(1)(2)(0), 0, faffafafVVVVV (1)(2)(0)22(1)(2)(0)(1)2(1)(2)(0)(1)=0(1)(1
11、)fafafafafbfafafafafcfafafafaVVVVVVVVVVVVVV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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(IV) (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)(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 0fa
12、V 120 (0)(1)(1(2)(0) ()ffffffffaVj XXXI(1)(2)(0)(1)(2)(2)(1)(0)(0)(1)(0)(0)(0)231313fafffffafafffafaffffffaVj XXIVjXIVjXIVVV (0)(1)32fbfcfafVVVV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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
13、afafafbfbfbfcfcfcVVVVVVIIIIIIIII( )對(duì)稱(chēng)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8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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)(0)(0)(0) (8 1) f
14、affffafafffafafffaVVjXIVjXIVjXI(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 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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)(1)(1)(2) (88)()ffaffffVIj XX faV f
15、bfcVV 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 (1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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)2222
16、fafafafafafffafbfafafafafafcfafafafafaVVVVVj XIVVVVVVVVVVVV (1)(2)(0)22(1)(2)(0)(1)(1)(1)+ 0+ ()33fafafafafbfafafafafafcfbfaIIIIIIIIIjIIIjI (2)(1)(0)(1)(2)(2)(1)(0), 0, , 0fafafafafafffafaIIIVVjXIV faV fbfcVV 0faI fbI fcI a b c 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 2. 兩相兩相(b相和相和c相相)短路短路相量圖相量圖 (1)faI (1)fbI (1)fc
17、I (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 (2)faV (2)(1)(0)(1)(2)(2)(1)(0), 0, , 0fafafafafafffafaIIIVVjXIV 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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)(1)(2)(0)(1)(2)(0)0002fbfbfbfcfcfcfafafaVVVV
18、VVIII( )對(duì)稱(chēng)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8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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)立方程求解 (0)(1)(1)(1)(2)(2)(2)(0)(0)(0) (8 1) faffffafafffafafffaVVjX
19、IVjXIVjXI(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)fffffafafafaffffXXVVVjIXX8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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) (
20、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)(1)(2)(0)fffafafffffffafaffffXIIXXXIIXX faV 0fbfcVV 0faI fbI fcI a b c (1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短
21、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)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
22、)(1)(1)(2)(0) (/)ffaffffffVIj XXX(0)(2)(1)(2)(0)(2)(0)(1)(2)(0)fffafafffffffafaffffXIIXXXIIXX 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 3. 兩相兩相(b
23、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 ffefbfcfafbfcfafaffffXIIIIIIIIXX (0)(0)(1)(0)(1)(0)(2)33fefaffffffffffVIIjXXXXX(0)(2)(1)(2)(0)(2)(0)(1)(2)(0)fffafafffffffafaffffXII
24、XXXIIXX 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析小結(jié)小結(jié) 簡(jiǎn)單不對(duì)稱(chēng)短路的分析方法小結(jié)簡(jiǎn)單不對(duì)稱(chēng)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)、方程求解等
25、方程求解等); 對(duì)電流電壓各序分量進(jìn)行綜合即可得到對(duì)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。 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)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)(0)(1)(2)(0)0fafaf
26、afafafaVVVIII(2)f(1,1)f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(jiǎn)單使序分量邊界條件表達(dá)式簡(jiǎn)單 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析復(fù)合序網(wǎng)復(fù)合序網(wǎng) (1)f(2)f(1,1)f(0)(1)(1(2)(0) (/ /)ffaffffffXVIj XX(0)(1)(2(1) ()fffafffVIjXX(0)(1)(1)(2)(0) ()ffffffffaVIjXXX(1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV(1)faI(1)ffjX(1)faV(2)fa
27、I(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV(1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析正序等效定則正序等效定則 (0)( )(1)(1( ) ()fnanfffVj XXI(1)f(2)f(3)f(1,1)f 0(2)(0) ffffXX(2) ffX(2)(0) /ffffXX故障類(lèi)型故障類(lèi)型 附加電抗附加電抗 復(fù)合序網(wǎng)復(fù)合序網(wǎng) ( ) nX(1)faI(0)fV(1)ffjX(1)faV njX算例算例 X XT T1 1= =0
28、 0. .1 1I I= =1 1X X1 1= =0 0. .3 3X X0 0= =0 0. .9 9X XT T2 2= =0 0. .1 1XnXn= =? ?1 . 02 XXd0 . 1 EG GT T1 1T T2 2)1(Af空載空載如圖所示系統(tǒng),各元件標(biāo)幺值已標(biāo)明于圖中,變壓器均采用如圖所示系統(tǒng),各元件標(biāo)幺值已標(biāo)明于圖中,變壓器均采用 Y/-11 接接線,已知當(dāng)線,已知當(dāng) f 點(diǎn)發(fā)生點(diǎn)發(fā)生A相接地短路時(shí),變壓器相接地短路時(shí),變壓器 T1 中性線電流為中性線電流為 1.0,試計(jì)算:試計(jì)算: (1) 變壓器變壓器T2中性點(diǎn)接地電抗中性點(diǎn)接地電抗 Xn 的標(biāo)幺值;的標(biāo)幺值; (2)
29、 發(fā)電機(jī)側(cè)各相電流。發(fā)電機(jī)側(cè)各相電流。 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 X XT T1 1= =0 0. .1 1I I= =1 1X X1 1= =0 0. .3 3X X0 0= =0 0. .9 9X XT T2 2= =0 0. .1 1XnXn= =? ?1 . 02 XXd0 . 1 EG GT T1 1T T2 2)1(Af空載空載算例算例 以以A相為參考相的故障系統(tǒng)正序、負(fù)序和零序等值電路:相為參考相的故障系統(tǒng)正序、負(fù)序和零序等值電路: (1)fAV E djX 1TjX 1jX + - + - (1)fAI 2jX (2)fAV 1TjX 1jX + - (
30、2)fAI (T1)(0)fAI 1TjX (0)fAV 0jX + - (0)fAI (T2)(0)fAI 2TjX 3nj X (1)0.5ffjXj(2) 0.5ffjXj(0)01(0.1 3)/()(0.1 3)/1.0ffnTnjXjXXXjX8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 算例算例 以以A相為參考相的故障系統(tǒng)正序、負(fù)序和零序等值電路:相為參考相的故障系統(tǒng)正序、負(fù)序和零序等值電路: (1)fAV E djX 1TjX 1jX + - + - (1)fAI 2jX (2)fAV 1TjX 1jX + - (2)fAI (T1)(0)fAI 1TjX (0)fAV 0
31、jX + - (0)fAI (T2)(0)fAI 2TjX 3nj X (1)0.5ffjXj(2) 0.5ffjXj(0)01(0.1 3)/()(0.1 3)/1.0ffnTnjXjXXXjXA相單相接地短路時(shí),短路電流各序分量相單相接地短路時(shí),短路電流各序分量: (1)(1)(1)(1)(2)(0)(1)(2)(0)(0)1.01.0fAfAfAffffffffEIIIjXjXjXX8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 算例算例 以以A相為參考相的故障系統(tǒng)正序、負(fù)序和零序等值電路:相為參考相的故障系統(tǒng)正序、負(fù)序和零序等值電路: (1)fAV E djX 1TjX 1jX +
32、- + - (1)fAI 2jX (2)fAV 1TjX 1jX + - (2)fAI (T1)(0)fAI 1TjX (0)fAV 0jX + - (0)fAI (T2)(0)fAI 2TjX 3nj X (1)0.5ffjXj(2) 0.5ffjXj變壓器變壓器 T-1 中性點(diǎn)入地電流中性點(diǎn)入地電流: (0)(0)(0)(T1)(T1)(0)1010(0)(0)(0)(0)3331.0331.0fAfffAefATTfffAffffVjXIIIjXjXjXjXXIXX (0)01(0.1 3)/()(0.1 3)/1.0ffnTnjXjXXXjX(0)0.5ffX0.3nX =1 8-1
33、簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 算例算例 計(jì)算發(fā)電機(jī)側(cè)各相電流計(jì)算發(fā)電機(jī)側(cè)各相電流: (a)故障口短路電流各序分量分別為)故障口短路電流各序分量分別為: (1)(1)(1)(1)(2)(0)(1)(2)(0)(0)1.021.03fAfAfAffffffffEIIIjXjXjXX(b)發(fā)電機(jī)端)發(fā)電機(jī)端 a 相電流各序分量相電流各序分量分別為分別為: (1)(1)30(1)(1)30(1)(1)(1)(2)(2)(0), , 0jjfafAfafAfaIIeIIeI8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 算例算例 計(jì)算發(fā)電機(jī)側(cè)各相電流計(jì)算發(fā)電機(jī)側(cè)各相電流: (c)發(fā)電機(jī)端各
34、相電流分別為)發(fā)電機(jī)端各相電流分別為: (1)(1)(1)(1)(2)(0)(1)30(1)30(1)(1)(2)(0)2(1)(1)(1)(1)(2)(0)(1)90(1)90(1)(1)(2)(0)(1)2(1)2 3 31.15470fafafafajjfAfAfafbfafafajjfAfAfafcfafIIIIIeIeIIIIIIeIeIIII(1)(1)(2)(0)(1)150(1)150(1)(1)(2)(0)2 3 31.1547afajjfAfAfaIIeIeI = 0 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析 (1) 單相單相(a相相)非金屬性接地短路非金屬性接地短
35、路序分量邊界條件序分量邊界條件 ,(1 ,0)0 faffbffcaVIIz I相量表示的邊界條件:(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)()002fafafafaffafafafbfbfbfbfcfcfcfcVVVVzIIIIIIIIIII( )對(duì)稱(chēng)分量表示的邊界條件 faV fbV fcV faI 0fbI 0fcI 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
36、)(1)(2)(0)43fafafaffafafafaVVVz IIII( )序分量邊界條件:8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析非金屬性短路非金屬性短路 fzfzfz(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 (1)(2)(0)(1)(1)(2)(0)3fafafaffafafafaVVVz IIII faV fbV fcV faI 0fbI 0fcI a b c fz EQU (1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX
37、(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析非金屬性短路非金屬性短路 (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件序分量邊界條件 , 0,0fbffbfcffcfafbfcVz IVz IIII(1)(1)(2)(2)(1)(2)(0)0,0faffafaffafafafaVz IVz IIII序分量邊界條件:(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)(1)(2)(0)()()00fbfbfbffbfbfbfcfcfcffcfcfcfafafafbfbfbfcfcfcVVV
38、zIIIVVVzIIIIIIIIIIII22(1)(2)22(1)(2)(1)(2)(0)22(1)(2)(0)()() ()()0()()20fafaffafafafafafafafaVVzIIIIIIII faV fbV 0faI fbI fcI a b c fz fz fcV 8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析非金屬性短路非金屬性短路 fzfzfz(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) EQU faV fbV 0faI fbI fcI a b c fz fz fcV faV fbV 0faI fbI fcI a b c fz fz fc
39、V fz (1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析非金屬性短路非金屬性短路 (1)(1)(2)(2)(1)(2)(0)0,0faffafaffafafafaVz IVz IIII序分量邊界條件:(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 IzII22(1)(2)(0)(1)(2)(0)(0)22(1)(2)(0)(1)(2)(0)(
40、0)(1)(2)(0)()30()300fafafaffafafagfafafafaffafafagfafafafaVVVzIIIz 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序分量邊界條件:8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析非金屬性短路非金屬性短路 fzfzfz3gz(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) (1)(1)(2)(2)(
41、0)(0)(1)(2)(0)(3)0faffafaffafafgfafafafaVz IVz IVzzIIII序分量邊界條件: faV 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 (1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析非金屬性短路非金屬性短路 3gz(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) (1)(
42、2)(0)(0)(1)(2)(0)30fafafagfafafafaVVVz IIII序分量邊界條件: faV fbV 0faI fbI fcI a b c fcV gz eI (1)faI(1)ffjX(1)faV(2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(0)fV8-1 簡(jiǎn)單不對(duì)稱(chēng)短路的分析簡(jiǎn)單不對(duì)稱(chēng)短路的分析非金屬性短路非金屬性短路 1. 不對(duì)稱(chēng)故障電壓電流分布計(jì)算不對(duì)稱(chēng)故障電壓電流分布計(jì)算舉例舉例 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)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 2n
43、x T-2 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
44、 aL aL aL bL bL bL bL cL cL cL cIIIIIIIIIIII (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)faV (0)faI 1(
45、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 (2)faI(2)ffjX(2)faV(0)faI(0)ffjX(0)faV(1)faI(1)ffjX(1)faV(0)fV8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 1. 不對(duì)稱(chēng)故障電壓電流分布計(jì)算不對(duì)稱(chēng)故障電壓電流分布計(jì)算舉例舉例 1. 不對(duì)稱(chēng)故障電壓電流分布計(jì)算不對(duì)稱(chēng)故障電壓電流分布計(jì)算電壓分布基本特點(diǎn)電壓分布基本特點(diǎn) 正序電壓在電源點(diǎn)最高,正
46、序電壓在電源點(diǎn)最高,短路點(diǎn)最低;短路點(diǎn)最低; 電源點(diǎn)負(fù)序電壓為零;電源點(diǎn)負(fù)序電壓為零; 故障點(diǎn)零序和負(fù)序電壓故障點(diǎn)零序和負(fù)序電壓最高;最高; 變壓器三角側(cè)零序電壓變壓器三角側(cè)零序電壓為零;為零; 網(wǎng)絡(luò)中各點(diǎn)三相電壓不網(wǎng)絡(luò)中各點(diǎn)三相電壓不對(duì)稱(chēng)程度主要決定于負(fù)對(duì)稱(chēng)程度主要決定于負(fù)序分量,負(fù)序分量愈大,序分量,負(fù)序分量愈大,電壓愈不對(duì)稱(chēng)。電壓愈不對(duì)稱(chēng)。 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (2)faV (2)faI 1LjX 2LjX 1(2)GjX T1jX IjX IIjX IIIjX LDZ 4LjX T4jX G2(2)jX T1jX 1 (
47、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)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(duì)稱(chēng)故障電壓電流分布計(jì)算不對(duì)稱(chēng)故障電壓電
48、流分布計(jì)算電壓電流分布計(jì)算電壓電流分布計(jì)算 求解故障口電流電壓各求解故障口電流電壓各序分量(序網(wǎng)方程、序序分量(序網(wǎng)方程、序分量邊界條件);分量邊界條件); 由各序網(wǎng)絡(luò)計(jì)算電流電由各序網(wǎng)絡(luò)計(jì)算電流電壓各序分量的分布;壓各序分量的分布; 對(duì)某一節(jié)點(diǎn),綜合各序?qū)δ骋还?jié)點(diǎn),綜合各序電壓分量或者支路各序電壓分量或者支路各序電流分量,得到相應(yīng)的電流分量,得到相應(yīng)的電壓和電流相量;電壓和電流相量; 注意注意對(duì)稱(chēng)分量經(jīng)過(guò)變壓對(duì)稱(chēng)分量經(jīng)過(guò)變壓器后的相位變換器后的相位變換問(wèn)題問(wèn)題 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (2)faV (2)faI 1LjX 2LjX
49、 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)faV (0)faI 1(0)LjX 2(0)LjX 13nj x IjX IIjX IIIjX 23nj x 3(0)LjX T3jX T1jX 1 (0)0G
50、 aV 1 (0)L aV 1 (0)0G aI 1 (0)L aI (1)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 , , AaBbCcVkVVkVVkV111, , AaBbCcIIIIIIkkk12Y Y 12NNkVV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 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2
51、 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)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 AAXaxaccaBBYbybaabCCZczcbbcVEk 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 (1)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換
52、對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (1)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)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
53、(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 (2)CAV (2)caV 30 (2)ABV 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (1)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)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)AB
54、V 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)bcV (2)abV (2)CV (2)AV (2)ABV (2)BCV (2)BV (2)CAV (2)caV 30 (2)ABV 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (1)BV (1)AV (1)ABV (1)CAV (1)CV (1)BCV (1)
55、abV (1)caV 30 (1)aV (1)cV (1)bV (1)AV (1)bcV (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)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓序分量電壓序分量 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 AAXaxaccaBBYbybaabCCZczcbbcVEk Ek Vk VVEk E
56、k 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 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 AXE byE
57、 axE czE aV bV cV AV BV CV BYE CZE X Y Z x y z A B C a b c (1)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓序分量電壓序分量 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (1)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)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)AI (1)CI (1)abI (1)caI (1)aI (1)cI (1)bcI (1)
58、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 (2)BI (2)bcI (2)caI (2)aI (2)bI (2)abI (2)cI (2)CI 30 (2)aI (2)AI 12, 3NNkVVkk2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (1)AI (1)CI (1)abI (1)caI (1)aI
59、 (1)cI (1)bcI (1)bI (1)BI 30 (1)aI (2)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(1)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電流序分量電流序分量 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 X Y Z x y z A B C a b c AI BI CI caI abI b
60、cI aI bI cI Y/ -11 (2)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)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 (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)f
61、fAffffffVjIj XXXj計(jì)算故障口電流正序分量(2)(0)(1)(1)(2)(0)(1)Step 3:1.0, ()0.74fAfAfAfAfffffAIIIVj XXIj計(jì)算故障口電流各序分量計(jì)算發(fā)電機(jī)各相電流3030(1)(1)3030(2)(2)(0)Step 4:0jjGAfAjjGAfAGAIIeeIIeeI計(jì)算發(fā)電機(jī)端電流各序分量2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 3030(1)(2)(0)29090B(1)(2)(0)2150150C(1)(
62、2)(0)Step 5:303jjGAGAGAGAjjGGAGAGAjjGGAGAGAIIIIeeIIIIeeIIIIee 計(jì)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(jì)算故障口電壓各序分量(2)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換應(yīng)用舉例應(yīng)用舉例 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 G1
63、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 計(jì)算發(fā)電機(jī)各相電流303030(1)(1)(1)303030(2)(2)(2)(0)Step 7:0.740.120.860.260.120.140jjjGAfATfAjjjGAfATfAGAVVjX IejjejeVVjX IejjejeV 計(jì)算發(fā)電機(jī)端電壓各序分量3030(1)(2)(0)2
64、9090(1)(2)(0)2150150(1)(2)(0)Step 8:0.860.140.860.140.860.14jjGAGAGAGAjjGBGAGAGAjjGCGAGAGAVVVVjejeVVVVjejeVVVVjeje計(jì)算發(fā)電機(jī)端各相電壓 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 計(jì)算發(fā)電機(jī)各相電流(2)對(duì)稱(chēng)分量經(jīng)變壓器
65、后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換應(yīng)用舉例應(yīng)用舉例 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 (3)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換說(shuō)明說(shuō)明 Y1( )變壓器一相等值電路不考慮相移的原因:陣對(duì)稱(chēng)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 pI qV 30je 303011jjpqTqpTqqIV k eZ
66、k eYZVV 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 2 因( )各序一相為:同一序的等值電路不考慮相移對(duì)計(jì)算電壓和電流分量經(jīng)過(guò)變壓器結(jié)果的影響:后的相沒(méi)有移相同. (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)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 (3)對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換說(shuō)明說(shuō)明 2. 電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換 8-2 電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的相位變換電壓和電流對(duì)稱(chēng)分量經(jīng)變壓器后的
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