下图为26节点的电力系统,通过下面的方法求功率潮流。 负荷数据见下表。 负荷数据 节点编号
下图为26节点的电力系统,通过下面的方法求功率潮流。
负荷数据见下表。
负荷数据 | ||
节点编号 | MW | Mvar |
1 | 51.0 | 41.0 |
2 | 22.0 | 15.0 |
3 | 64.0 | 50.0 |
4 | 25.0 | 10.0 |
5 | 50.0 | 30.0 |
6 | 76.0 | 29.0 |
7 | 0.0 | 0.0 |
8 | 0.0 | 0.0 |
9 | 89.0 | 50.0 |
10 | 0.0 | 0.0 |
11 | 25.0 | 15.0 |
12 | 89.0 | 48.0 |
13 | 31.0 | 15.0 |
14 | 24.0 | 12.0 |
15 | 70.0 | 31.0 |
16 | 55.0 | 27.0 |
17 | 78.0 | 38.0 |
18 | 153.0 | 67.0 |
19 | 75.0 | 15.0 |
20 | 48.0 | 27.0 |
21 | 46.0 | 23.0 |
22 | 45.0 | 22.0 |
23 | 25.0 | 12.0 |
24 | 54.0 | 27.0 |
25 | 28.0 | 13.0 |
26 | 40.0 | 20.0 |
电压幅值、发电机设定值以及调整节点的无功限制由下表给出。以节点1为参考节点,电压为V1=1.025∠0°。
发电机数据 | ||||
节点编号 | 电压幅值 | 发电机有功功率, MW | 无功限制,Mvar | |
最小值 | 最大值 | |||
1 | 1.025 | |||
2 | 1.020 | 79.0 | 40.0 | 250.0 |
3 | 1.025 | 20.0 | 40.0 | 150.0 |
4 | 1.050 | 100.0 | 40.0 | 80.0 |
5 | 1.045 | 300.0 | 40.0 | 160.0 |
26 | 1.015 | 60.0 | 15.0 | 50.0 |
并联电容器的注入无功功率见下表。线路串联电阻和电抗以及1/2总的容纳由线路和变压器数据表给出(均为标幺值,基准功率为100MVA)。变压器分接头由第二个表给出。
并联电容器的注入无功功率 | |
节点编号 | 无功,Mvar |
1 | 4.0 |
4 | 2.0 |
5 | 5.0 |
6 | 2.0 |
11 | 1.5 |
12 | 2.0 |
15 | 0.5 |
19 | 5.0 |
线路和变压器数据,p.u. | ||||
节点 | 节点 | 电阻 | 电抗 | 1/2容纳 |
1 | 2 | 0.0005 | 0.0048 | 0.0300 |
1 | 18 | 0.0013 | 0.0110 | 0.0600 |
2 | 3 | 0.0014 | 0.0513 | 0.0500 |
2 | 7 | 0.0103 | 0.0586 | 0.0180 |
2 | 8 | 0.0074 | 0.0321 | 0.0390 |
2 | 13 | 0.0035 | 0.0967 | 0.0250 |
2 | 26 | 0.0323 | 0.1967 | 0.0000 |
3 | 13 | 0.0007 | 0.0054 | 0.0005 |
4 | 8 | 0.0008 | 0.0240 | 0.0001 |
4 | 12 | 0.0016 | 0.0207 | 0.0i50 |
5 | 6 | 0.0069 | 0.0300 | 0.0990 |
6 | 7 | 0.0053 | 0.0306 | 0.0010 |
6 | 11 | 0.0097 | 0.0570 | 0.000i |
6 | 18 | 0.0037 | 0.0222 | 0.00i2 |
6 | 19 | 0.0035 | 0.0660 | 0.0450 |
6 | 21 | 0.0050 | 0.0900 | 0.0226 |
7 | 8 | 0.0012 | 0.0069 | 0.0001 |
7 | 9 | 0.0009 | 0.0429 | 0.0250 |
8 | 12 | 0.0020 | 0.0180 | 0.0200 |
9 | 10 | 0.0010 | 0.0493 | 0.0010 |
10 | 12 | 0.0024 | 0.0132 | 0.0100 |
10 | 19 | 0.0547 | 0.2360 | 0.0000 |
10 | 20 | 0.0066 | 0.0160 | 0.0010 |
10 | 22 | 0.0069 | 0.0298 | 0.005 |
11 | 25 | 0.0960 | 0.0027 | 0.010 |
11 | 26 | 0.0165 | 0.0970 | 0.004 |
12 | 14 | 0.0327 | 0.0802 | 0.000 |
12 | 15 | 0.0180 | 0.0598 | 0.000 |
13 | 14 | 0.0046 | 0.0271 | 0.001 |
13 | 15 | 0.0116 | 0.0610 | 0.000 |
13 | 16 | 0.0179 | 0.0888 | 0.001 |
14 | 15 | 0.0069 | 0.0382 | 0.000 |
15 | 16 | 0.0209 | 0.0512 | 0.000 |
16 | 17 | 0.0990 | 0.0600 | 0.000 |
16 | 20 | 0.0239 | 0.0585 | 0.000 |
17 | 18 | 0.0032 | 0.0600 | 0.038 |
17 | 21 | 0.2290 | 0.4450 | 0.000 |
19 | 23 | 0.0300 | 0.1310 | 0.000 |
19 | 24 | 0.0300 | 0.1250 | 0.002 |
19 | 25 | 0.1190 | 0.2249 | 0.004 |
20 | 21 | 0.0657 | 0.1570 | 0.000 |
20 | 22 | 0.0150 | 0.0366 | 0.000 |
21 | 24 | 0.0476 | 0.1510 | 0.000 |
22 | 23 | 0.0290 | 0.0990 | 0.000 |
22 | 24 | 0.0310 | 0.0880 | 0.000 |
23 | 25 | 0.0987 | 0.1168 | 0.000 |
变压器分接头 | |
节点编号 | 分接头数据 |
2-3 | 0.960 |
2-13 | 0.960 |
3-13 | 1.017 |
4-8 | 1.050 |
4-12 | 1.050 |
6-19 | 0.950 |
7-9 | 0.950 |
(1)高斯-塞德尔法
(2)牛顿-拉夫逊法
(3)快速解耦法