夏道止老师《电力系统分析》N-R迭代过程
=========================导纳矩阵输出开始:=========================2.9049 - j11.5030 0.0000 + j5.3182 -1.6600 + j3.1618 -1.2450 + j2.3714
0.0000 + j5.3182 0.0000 - j4.6638 0.0000 + j0.0000 0.0000 + j0.0000
-1.6600 + j3.1618 0.0000 + j0.0000 2.4900 - j4.7039 -0.8300 + j1.5809
-1.2450 + j2.3714 0.0000 + j0.0000 -0.8300 + j1.5809 2.0750 - j3.9092
#########################导纳矩阵输出完毕!#########################
=========================初始功率向量输出开始:=========================
0.0000 + j0.0000 -0.5000 + j-0.3000 0.2000 + j0.0000 0.0000 + j0.0000
#########################初始功率向量输出完毕!#########################
=========================初始电压向量输出开始:=========================
1.0000 + j0.0000 1.0000 + j0.0000 1.0500 + j0.0000 1.0500 + j0.0000
#########################初始电压向量输出完毕!#########################
===================Iterationk = 0 Begin=========================
P = -0.14525
Q = 0.37497
P = 0.00000
Q = -0.65434
P = 0.08715
Q = 1.10250
误差向量 p、q:
0.14524743, 0.14524743, -0.37496691, -0.50000000, 0.35433884, 0.11285154, 0.00000000,
电流 aii、bii:
aii = -0.1452474277 bii = -0.3749669147 aii = 0.0000000000 bii = 0.6543388430 aii = 0.0829985301 bii = 0.0000000000
========================雅克比矩阵========================
-2.7597000 -11.128100 0.00000000 5.31820000 1.66000000 3.16180000
-11.878000 3.05020000 5.31820000 0.00000000 3.16180000 -1.6600000
0.00000000 5.31820000 0.00000000 -5.3182000 0.00000000 0.00000000
5.31820000 0.00000000 -4.0095000 0.00000000 0.00000000 0.00000000
1.74300000 3.31990000 0.00000000 0.00000000 -2.6975000 -4.9391000
0.00000000 0.00000000 0.00000000 0.00000000 -2.1000000 0.00000000
所求矩阵的逆矩阵为：
-0.08369 -0.15942 -0.08369 -0.21145 0.00000 -0.30618
-0.23406 0.07113 -0.23406 0.09434 -0.17374 0.14524
-0.11101 -0.21145 -0.11101 -0.52987 0.00000 -0.40612
-0.23406 0.07113 -0.42209 0.09434 -0.17374 0.14524
0.00000 -0.00000 0.00000 0.00000 0.00000 -0.47619
-0.18686 -0.00845 -0.18686 -0.01121 -0.31925 0.24965
方程的解:
0.0145420.070185-0.0690860.1642020.0000000.029460
新的电压值(e+jf):
0.98546 - j0.07019, 1.06909 - j0.16420, 1.05000 - j0.02946,
===================Iterationk = 0 End=========================
===================Iterationk = 1 Begin=========================
P = -0.02835
Q = -0.00268
P = -0.46151
Q = -0.20794
P = 0.20354
Q = 1.10337
误差向量 p、q:
0.02834863, 0.02834863, 0.00267722, -0.03848582, -0.09206171, -0.00353918, -0.00086787,
电流 aii、bii:
aii = -0.0284292626 bii = 0.0047414768 aii = -0.3925561267 bii = 0.2547940506 aii = 0.1642347318 bii = 0.0000000000
========================雅克比矩阵========================
-3.6416000 -11.136600 0.37330000 5.24080000 1.85770000 2.99940000
-11.127100 3.69850000 5.24080000 -0.3733000 2.99940000 -1.8577000
0.87330000 5.68560000 -0.3733000 -5.2408000 0.00000000 0.00000000
5.68560000 -0.8733000 -4.7313000 1.15840000 0.00000000 0.00000000
1.83610000 3.27100000 0.00000000 0.00000000 -2.9173000 -4.8658000
0.00000000 0.00000000 0.00000000 0.00000000 -2.1000000 0.05890000
所求矩阵的逆矩阵为：
-0.11168 -0.15094 -0.13743 -0.16516 -0.01477 -0.29385
-0.23803 0.07191 -0.22576 0.07869 -0.17259 0.13189
-0.15534 -0.17860 -0.23173 -0.40317 -0.03179 -0.34835
-0.26578 0.06559 -0.44212 0.08656 -0.18743 0.11893
-0.00558 -0.00024 -0.00562 -0.00026 -0.00903 -0.46893
-0.19882 -0.00847 -0.20026 -0.00927 -0.32170 0.25892
方程的解:
0.017232-0.0046150.0415680.0022480.0005200.003815
新的电压值(e+jf):
0.96823 - j0.06557, 1.02752 - j0.16645, 1.04948 - j0.03328,
===================Iterationk = 1 End=========================
===================Iterationk = 2 Begin=========================
P = -0.00050
Q = 0.00005
P = -0.49877
Q = -0.29567
P = 0.20071
Q = 1.10251
误差向量 p、q:
0.00050286, 0.00050286, -0.00004686, -0.00122615, -0.00432794, -0.00071146, -0.00001483,
电流 aii、bii:
aii = -0.0005202507 bii = -0.0000131695 aii = -0.4275816134 bii = 0.3570182626 aii = 0.1577813702 bii = 0.0000000000
========================雅克比矩阵========================
-3.5664000 -10.947100 0.34870000 5.14920000 1.81460000 2.95250000
-10.947100 3.56740000 5.14920000 -0.3487000 2.95250000 -1.8146000
0.88520000 5.46450000 -0.3487000 -5.1492000 0.00000000 0.00000000
5.46450000 -0.8852000 -4.4352000 1.20390000 0.00000000 0.00000000
1.84730000 3.26310000 0.00000000 0.00000000 -2.9275000 -4.8538000
0.00000000 0.00000000 0.00000000 0.00000000 -2.0990000 0.06660000
所求矩阵的逆矩阵为：
-0.11450 -0.15942 -0.14639 -0.18258 -0.01421 -0.30342
-0.23498 0.07099 -0.22078 0.08130 -0.16768 0.13058
-0.16419 -0.19402 -0.25476 -0.44360 -0.03241 -0.36965
-0.25794 0.06106 -0.43642 0.08493 -0.17820 0.11145
-0.00627 -0.00040 -0.00635 -0.00046 -0.01009 -0.46835
-0.19777 -0.01271 -0.20031 -0.01456 -0.31808 0.25478
方程的解:
0.000934-0.0000850.0021870.0001600.0000210.000432
新的电压值(e+jf):
0.96729 - j0.06549, 1.02533 - j0.16661, 1.04946 - j0.03371,
===================Iterationk = 2 End=========================
===================Iterationk = 3 Begin=========================
P = -0.00000
Q = 0.00000
P = -0.50000
Q = -0.29999
P = 0.20008
Q = 1.10250
误差向量 p、q:
0.00000048, 0.00000048, -0.00000006, -0.00000179, -0.00001164, -0.00008305, -0.00000019,
电流 aii、bii:
aii = -0.0000005025 bii = -0.0000000245 aii = -0.4287817842 bii = 0.3622513393 aii = 0.1567496678 bii = 0.0000000000
========================雅克比矩阵========================
-3.5632000 -10.936600 0.34830000 5.14420000 1.81270000 2.94970000
-10.936600 3.56320000 5.14420000 -0.3483000 2.94970000 -1.8127000
0.88610000 5.45290000 -0.3483000 -5.1442000 0.00000000 0.00000000
5.45290000 -0.8861000 -4.4197000 1.20580000 0.00000000 0.00000000
1.84860000 3.26230000 0.00000000 0.00000000 -2.9284000 -4.8527000
0.00000000 0.00000000 0.00000000 0.00000000 -2.0989000 0.06740000
所求矩阵的逆矩阵为：
-0.11472 -0.15989 -0.14693 -0.18356 -0.01423 -0.30393
-0.23481 0.07095 -0.22052 0.08145 -0.16742 0.13050
-0.16472 -0.19489 -0.25605 -0.44590 -0.03248 -0.37084
-0.25751 0.06086 -0.43612 0.08491 -0.17772 0.11109
-0.00635 -0.00042 -0.00643 -0.00048 -0.01021 -0.46826
-0.19773 -0.01296 -0.20034 -0.01488 -0.31788 0.25453
方程的解:
0.0000040.0000130.0000080.0000140.0000010.000027
新的电压值(e+jf):
0.96729 - j0.06550, 1.02532 - j0.16662, 1.04946 - j0.03373,
===================Iterationk = 3 End=========================
===================Iterationk = 4 Begin=========================
P = -0.00000
Q = -0.00000
P = -0.50000
Q = -0.30000
P = 0.20001
Q = 1.10250
误差向量 p、q:
0.00000000, 0.00000000, 0.00000000, 0.00000000, -0.00000000, -0.00000516, -0.00000000,
电流 aii、bii:
aii = -0.0000000000 bii = 0.0000000000 aii = -0.4287787078 bii = 0.3622711617 aii = 0.1566485901 bii = 0.0000000000
========================雅克比矩阵========================
-3.5634000 -10.936500 0.34830000 5.14420000 1.81280000 2.94970000
-10.936500 3.56340000 5.14420000 -0.3483000 2.94970000 -1.8128000
0.88610000 5.45290000 -0.3483000 -5.1442000 0.00000000 0.00000000
5.45290000 -0.8861000 -4.4197000 1.20590000 0.00000000 0.00000000
1.84870000 3.26220000 0.00000000 0.00000000 -2.9284000 -4.8526000
0.00000000 0.00000000 0.00000000 0.00000000 -2.0989000 0.06750000
所求矩阵的逆矩阵为：
-0.11473 -0.15989 -0.14693 -0.18357 -0.01423 -0.30393
-0.23481 0.07095 -0.22052 0.08145 -0.16742 0.13050
-0.16473 -0.19489 -0.25606 -0.44590 -0.03248 -0.37084
-0.25751 0.06086 -0.43611 0.08491 -0.17772 0.11108
-0.00636 -0.00042 -0.00644 -0.00048 -0.01022 -0.46825
-0.19773 -0.01297 -0.20034 -0.01489 -0.31788 0.25452
方程的解:
0.0000000.0000010.0000000.0000010.0000000.000002
新的电压值(e+jf):
0.96729 - j0.06550, 1.02532 - j0.16663, 1.04946 - j0.03374,
===================Iterationk = 4 End=========================
===================Iterationk = 5 Begin=========================
P = 0.00000
Q = -0.00000
P = -0.50000
Q = -0.30000
P = 0.20000
Q = 1.10250
误差向量 p、q:
-0.00000000, -0.00000000, 0.00000000, 0.00000000, 0.00000000, -0.00000032, -0.00000000,
=================k=5时，结果收敛=======================
================牛顿法计算共耗时:0秒:609毫秒========= 很详细呵呵
页:
[1]
