华南理工大学广州学院电气工程学院电力系统分析课程设计报告
17.3611 0 0 -28.8772 11.6041 0 0 0 0
0 0 0 11.6041 -17.3382 0 5.9751 0 0
0 0 0 0 0 -5.4092 0 0 5.5882
0 16.0000 0 0 5.9751 0 -35.4456 13.6980 0
0 0 0 0 0 0 13.6980 -23.3032 9.7843
0 -32.1539 B2 =
-17.3611 0
0 0
0 17.0648
17.3611 0
0 0
0 5.8824
0 0 9.9206
0 -32.8678 JP =
1.0000 0
0 0
0 17.0648
0 17.0648 0 0 5.5882 0 0 0 17.3611 0 0 0 -16.0000 0 0 0 0 16.0000 0 -17.0648 0 0 0 0 0 0 -29.1258 11.7647 0 0 0 0 11.7647 -17.9759 0 6.2112 0 0 0 0 -5.8824 0 16.0000 0 0 6.2112 0 -36.1001 13.8889 0 0 0 0 0 13.8889 0 17.0648 0 0 5.8824 0 0 0 0 0 0 0 -16.0000 0 0 0 0 16.0000 0 -17.0648 0 0 0 0 27
9.7843 0 0 0 0 0 0 0 -23.8095 9.9206 0 0 0 华南理工大学广州学院电气工程学院电力系统分析课程设计报告
0 0 0 -29.1258 11.7647 0 0 0 0
0 0 0 11.7647 -17.9759 0 6.2112 0 0
0 0 0 0 0 -5.8824 0 0 5.8824
0 16.0000 0 0 6.2112 0 -36.1001 13.8889 0 0 0 0 0 0 0 13.8889 -23.8095 9.9206
0 0 17.0648 0 0 5.8824 0 -32.8678 JQ =
1.0000 0 0 0 0 0 0 0
0 1.0000 0 0 0 0 0 0
0 0 1.0000 0 0 0 0 0
0 0 0 -28.8772 11.6041 0 0 0
0 0 0 11.6041 -17.3382 0 5.9751 0
0 0 0 0 0 -5.4092 0 5.5882
0 0 0 0 5.9751 0 -35.4456 0
0 0 0 0 0 0 13.6980 9.7843
0 0 0 0 0 5.5882 0 -32.1539
迭代过程中maxdP和maxdQ的值如表所示：
迭代过程量（maxdP、maxdQ）
迭代maxdP maxdQ 次数 1 1.6300 0.2835 2 0.0475 0.2673 3 0.0142 0.0346 28
9.9206 0 0 0 0 0 0 13.6980 -23.3032 9.7843 华南理工大学广州学院电气工程学院电力系统分析课程设计报告
4 0.0015 0.0024 5 3.9241e-07.2315e-004 04 6 1.0630e-01.9648e-004 04 7 2.8832e-05.3271e-005 05 8 7.8177e-01.4448e-005 06 9 2.1154e-03.9175e-006 06 10 5.7278e-001.0606e-007 6
noiteration = 11 Nodea =
0 4.7235 -3.5238 -2.4580 -6.0765 -15.8498 -5.7856 -6.4130 NodeV =
18 18 18 227 221 209 228 225 227 Z =
0.0100 + 0.0850i Z =
0.0320 + 0.1610i
Z =
0.0390 + 0.1700i Z =
0.0085 + 0.0720i Z =
0.0119 + 0.1008i Sf_T =
1.0e+002 *
0.7362 + 0.2118i 1.6300 + 0.2014i 0.8500 + 0.2228i St_T =
1.0e+002 *
0.7362 + 0.1780i 1.6300 + 0.0328i 0.8500 + 0.1775i Sf_L =
1.0e+002 *
29
-1.1671 华南理工大学广州学院电气工程学院电力系统分析课程设计报告
0.7362 + 0.1780i -0.5201 - 0.2080i -0.9000 - 0.3000i 1.1004 + 0.0687i 0.0898 - 0.2268i
St_L =
1.0e+002 * 0.7299 + 0.2920i -0.5296 + 0.0359i -0.9395 - 0.1497i 1.0898 + 0.1232i 0.0895 - 0.0278i
6.4 两机五节点网络
G0.45+j0.150.4+j0.0510.08+j0.2430.01+j0.0340.02+j0.0620.04+j0.12G-(0.2+j0.2)50.6+j0.10.08+j0.24
.180j+0.06.180.06+j0
节点1为平衡节点,U1=1.06+J0为一值,其它四个节点都是PQ节点给定的注
入
功
率
分
别
为
:2
=0.20+J0.20,S3=-0.45-J0.15,S4=-0.40-J0.05,S5=-0.60-J0.10. 1.形成节点导纳矩阵YB Y =[
6.250-18.750i -5.000+15.000i -1.250+3.750i 0 0
-5.000+15.000i 10.834-32.500i -1.667+5.000i -1.667+5.000i -2.500+7.500i
-1.250-3.750i -1.667+5.000i 12.917-38.750i -10.000+30.000i 0
0 -1.667+5.000i -10.000+30.000i 12.917-38.750i -1.250-3.750i
30
华南理工大学广州学院电气工程学院电力系统分析课程设计报告
0 -2.500+7.500i 0 -1.250+3.750i 3.750-11.250i
];
2.计算各节点功率的不平衡量
取U1=1.06+J0，U2=1.00+j0，U3=1.00+j0，U4=1.00+j0，U5=1.00+j0
??Pi?Pi?ei?(Gijej?Bijfj)?fi?(Gijfj?Bijej)?j?1j?1??nn?Qi?Qi?fi?(Gijej?Bijfj)?ei?(Gijfj?Bijej)??j?1j?1?
nn
?P2(0)?0.5000,?Q2(0)?1.1000?P3(0)??0.3750,?Q3(0)?0.0750?p4(0)??0.4000,?Q4(0)??0.0500?P5(0)??0.6.000,?Q4(0)??0.0500
3，计算雅可比矩阵中各元素
当j?i时, 雅可比矩阵中非对角元素为
???Pi??Qi????(Gijei?Bijfi)???ej??fj????Pi??Qi???Bijei?Gijfi???fj??ej????U2??U2???0?ej?fj?? (2-2-9)
当j?i时,雅可比矩阵中对角元素为:
31