计算结果.xls

牛顿-拉夫逊法潮流计算的算法实现

				牛顿-拉夫逊潮流计算-直角坐标

系统基本信息:
节点数:	57
发电机数	6
支路数	86
变压器输	17
平衡节点编号	1


潮流计算结果:
电压幅值最低的节点为:	31	其电压幅值为:	0.935932
1.线路支路功率分布:
节点i	节点j	Pij	Qij	Pji	Qji	dPij	dQij
1(0)	2(0)	1.020883	0.749969	-1.007729	-0.841154	0.013154	-0.091184
2(0)	3(0)	0.977729	-0.046396	-0.949802	0.044649	0.027927	-0.001747
3(0)	4(0)	0.602128	-0.081793	-0.597896	0.058910	0.004232	-0.022883
4(0)	5(0)	0.137984	-0.044319	-0.136681	0.022362	0.001303	-0.021957
4(0)	6(0)	0.141569	-0.050935	-0.140621	0.020750	0.000948	-0.030185
6(0)	7(0)	-0.177786	-0.017105	0.178445	-0.006157	0.000659	-0.023262
6(0)	8(0)	-0.425014	-0.065643	0.431456	0.052211	0.006442	-0.013432
8(0)	9(0)	1.780287	0.198259	-1.748720	-0.091229	0.031566	0.107030
9(0)	10(0)	0.171711	-0.092251	-0.170384	0.055762	0.001327	-0.036489
9(0)	11(0)	0.129030	0.020685	-0.128557	-0.039937	0.000473	-0.019252
9(0)	12(0)	0.025489	-0.158538	-0.024450	0.086431	0.001039	-0.072107
9(0)	13(0)	0.023159	-0.019601	-0.023132	-0.019258	0.000027	-0.038860
13(0)	14(0)	-0.103547	0.223375	0.104415	-0.230968	0.000868	-0.007594
13(0)	15(0)	-0.488920	0.048896	0.495731	-0.049138	0.006811	-0.000242
1(0)	15(0)	1.489854	0.337868	-1.450805	-0.239890	0.039049	0.097977
1(0)	16(0)	0.792472	-0.008698	-0.766093	0.070828	0.026379	0.062130
1(0)	17(0)	0.933428	0.039357	-0.914190	0.017673	0.019238	0.057030
3(0)	15(0)	0.337674	-0.181905	-0.335367	0.136512	0.002308	-0.045393
5(0)	6(0)	0.006681	-0.062362	-0.006579	0.050712	0.000102	-0.011649
7(0)	8(0)	-0.779353	-0.124106	0.788257	0.150526	0.008905	0.026420
10(0)	12(0)	-0.176045	-0.200896	0.177902	0.176507	0.001857	-0.024389
11(0)	13(0)	-0.099254	-0.043909	0.099514	0.026840	0.000260	-0.017069
12(0)	13(0)	-0.004861	0.603512	0.011820	-0.640888	0.006959	-0.037376
12(0)	16(0)	-0.333972	0.088191	0.336093	-0.100828	0.002121	-0.012637
12(0)	17(0)	-0.484619	0.091667	0.494190	-0.097673	0.009570	-0.006006
14(0)	15(0)	-0.688359	-0.095999	0.697112	0.109808	0.008752	0.013809
18(0)	19(0)	0.046343	0.013852	-0.045266	-0.012251	0.001077	0.001600
19(0)	20(0)	0.012266	0.006251	-0.012209	-0.006164	0.000057	0.000087
21(0)	22(0)	-0.010791	-0.003946	0.010800	0.003961	0.000010	0.000015
22(0)	23(0)	0.096540	0.031105	-0.096440	-0.030951	0.000100	0.000153
23(0)	24(0)	0.033440	0.009951	-0.033224	-0.018083	0.000216	-0.008131
26(0)	27(0)	-0.105366	-0.016114	0.107405	0.019253	0.002039	0.003139
27(0)	28(0)	-0.200405	-0.024253	0.203019	0.028288	0.002614	0.004035
28(0)	29(0)	-0.249019	-0.051288	0.251739	0.055108	0.002720	0.003820
25(0)	30(0)	0.075590	0.046290	-0.074492	-0.044646	0.001099	0.001644
30(0)	31(0)	0.038492	0.026646	-0.037721	-0.025471	0.000771	0.001175
31(0)	32(0)	-0.020279	-0.003529	0.020524	0.003894	0.000245	0.000365
32(0)	33(0)	0.038079	0.019072	-0.038000	-0.019000	0.000079	0.000072
34(0)	35(0)	-0.074603	-0.037858	0.074993	0.035477	0.000389	-0.002382
35(0)	36(0)	-0.134993	-0.065477	0.136025	0.065257	0.001032	-0.000219
36(0)	37(0)	-0.170672	-0.106140	0.171902	0.107693	0.001230	0.001553
37(0)	38(0)	-0.210486	-0.136990	0.214702	0.141527	0.004215	0.004537
37(0)	39(0)	0.038584	0.029297	-0.038526	-0.029206	0.000058	0.000092
36(0)	40(0)	0.034647	0.040883	-0.034557	-0.040742	0.000090	0.000141
22(0)	38(0)	-0.107340	-0.035065	0.107580	0.035434	0.000240	0.000369
41(0)	42(0)	0.088752	0.032721	-0.086886	-0.029547	0.001866	0.003174
41(0)	43(0)	-0.115941	-0.029518	0.115941	0.035460	-0.000000	0.005942
38(0)	44(0)	-0.243455	0.052301	0.245205	-0.050819	0.001750	0.001483
46(0)	47(0)	0.478945	0.254711	-0.472900	-0.240345	0.006045	0.014366
47(0)	48(0)	0.175900	0.124345	-0.175109	-0.123332	0.000791	0.001013
48(0)	49(0)	0.000818	-0.073768	-0.000417	0.069279	0.000401	-0.004490
49(0)	50(0)	0.096649	0.044316	-0.095806	-0.042969	0.000843	0.001348
50(0)	51(0)	-0.114194	-0.062031	0.116429	0.065579	0.002235	0.003548
29(0)	52(0)	0.179168	0.025506	-0.174541	-0.019505	0.004628	0.006001
52(0)	53(0)	0.125541	-0.002495	-0.124291	0.004110	0.001250	0.001614
53(0)	54(0)	-0.075709	-0.044717	0.077250	0.046620	0.001540	0.001903
54(0)	55(0)	-0.118250	-0.060620	0.121331	0.064649	0.003081	0.004029
44(0)	45(0)	-0.365205	0.032819	0.373329	-0.020864	0.008123	0.011954
56(0)	41(0)	-0.054294	0.006627	0.056059	-0.004876	0.001764	0.001752
56(0)	42(0)	-0.015781	0.014628	0.015886	-0.014453	0.000105	0.000175
57(0)	56(0)	-0.028474	0.006057	0.028632	-0.005820	0.000158	0.000237
38(0)	49(0)	-0.046582	-0.105324	0.048033	0.104407	0.001451	-0.000916
38(0)	48(0)	-0.172244	-0.193939	0.174291	0.197101	0.002046	0.003161

2.接地支路功率分布:
节点i	节点j	Pij	Qij	Pji	Qji	dPij	dQij
18(0)	18(0)	0.000000	1.001319	0.000000	1.001319	0.000000	2.002638
25(0)	25(0)	0.000000	0.965347	0.000000	0.965347	0.000000	1.930694
53(0)	53(0)	0.000000	0.942735	0.000000	0.942735	0.000000	1.885470

3.变压器支路功率分布:
节点i	节点j	Pij	Qij	Pji	Qji	dPij	dQij
18(0)	4(0)	-0.139616	-0.013494	0.139616	0.024399	-0.000000	0.010905
18(0)	4(0)	-0.178728	0.001774	0.178728	0.011945	0.000000	0.013719
20(0)	21(0)	-0.010791	-0.003836	0.010791	0.003946	0.000000	0.000110
25(0)	24(0)	-0.070674	-0.010880	0.070674	0.017140	0.000000	0.006261
25(0)	24(0)	-0.067916	-0.010455	0.067916	0.016471	0.000000	0.006016
26(0)	24(0)	0.105366	0.016114	-0.105366	-0.015529	-0.000000	0.000585
29(0)	7(0)	-0.600908	-0.106614	0.600908	0.130263	0.000000	0.023649
32(0)	34(0)	-0.074603	-0.030967	0.074603	0.037858	0.000000	0.006891
41(0)	11(0)	-0.091869	-0.028327	0.091869	0.035302	0.000000	0.006975
45(0)	15(0)	-0.373329	0.020864	0.373329	-0.007291	0.000000	0.013573
46(0)	14(0)	-0.478945	-0.254711	0.478945	0.273968	0.000000	0.019257
51(0)	10(0)	-0.296429	-0.118579	0.296429	0.125134	-0.000000	0.006555
49(0)	13(0)	-0.324265	-0.303002	0.324265	0.338035	0.000000	0.035033
43(0)	11(0)	-0.135941	-0.045460	0.135941	0.048545	0.000000	0.003084
56(0)	40(0)	-0.034557	-0.037435	0.034557	0.040742	0.000000	0.003308
57(0)	39(0)	-0.038526	-0.026057	0.038526	0.029206	0.000000	0.003149
55(0)	9(0)	-0.189331	-0.098649	0.189331	0.103818	0.000000	0.005169

4.节点电压及相关功率:
节点编号	电压幅值	电压相角	负荷有功	负荷无功	发电机有功	发电机无功
1(0)	1.040000	0.000000	0.550000	0.170000	4.786638	1.288496
2(0)	1.010000	-1.188163	0.030000	0.880000	0.000000	-0.007550
3(0)	0.985000	-5.988127	0.410000	0.210000	0.400000	-0.009049
4(0)	0.980780	-7.337366	0.000000	0.000000	0.000000	0.000000
5(0)	0.976499	-8.546410	0.130000	0.040000	0.000000	0.000000
6(0)	0.980000	-8.674120	0.750000	0.020000	0.000000	0.008714
7(0)	0.984202	-7.601398	0.000000	0.000000	0.000000	0.000000
8(0)	1.005000	-4.477912	1.500000	0.220000	4.500000	0.620996
9(0)	0.980000	-9.584672	1.210000	0.260000	0.000000	0.022884
10(0)	0.986242	-11.449658	0.050000	0.020000	0.000000	0.000000
11(0)	0.973962	-10.193249	0.000000	0.000000	0.000000	0.000000
12(0)	1.015000	-10.471211	3.770000	0.240000	3.100000	1.286309
13(0)	0.978887	-9.803518	0.180000	0.023000	0.000000	0.000000
14(0)	0.970177	-9.350306	0.105000	0.053000	0.000000	0.000000
15(0)	0.988032	-7.190170	0.220000	0.050000	0.000000	0.000000
16(0)	1.013369	-8.858935	0.430000	0.030000	0.000000	0.000000
17(0)	1.017454	-5.395893	0.420000	0.080000	0.000000	0.000000
18(0)	1.000659	-11.729639	0.272000	0.098000	0.000000	0.000000
19(0)	0.970158	-13.226506	0.033000	0.006000	0.000000	0.000000
20(0)	0.963790	-13.444309	0.023000	0.010000	0.000000	0.000000
21(0)	1.008498	-12.929006	0.000000	0.000000	0.000000	0.000000
22(0)	1.009744	-12.874309	0.000000	0.000000	0.000000	0.000000
23(0)	1.008330	-12.939558	0.063000	0.021000	0.000000	0.000000
24(0)	0.999233	-13.292120	0.000000	0.000000	0.000000	0.000000
25(0)	0.982521	-18.173226	0.063000	0.032000	0.000000	0.000000
26(0)	0.958818	-12.981258	0.000000	0.000000	0.000000	0.000000
27(0)	0.981541	-11.513621	0.093000	0.005000	0.000000	0.000000
28(0)	0.996678	-10.481608	0.046000	0.023000	0.000000	0.000000
29(0)	1.010220	-9.771778	0.170000	0.026000	0.000000	0.000000
30(0)	0.962661	-18.719646	0.036000	0.018000	0.000000	0.000000
31(0)	0.935932	-19.383805	0.058000	0.029000	0.000000	0.000000
32(0)	0.949875	-18.512336	0.016000	0.008000	0.000000	0.000000
33(0)	0.947581	-18.552007	0.038000	0.019000	0.000000	0.000000
34(0)	0.959200	-14.148964	0.000000	0.000000	0.000000	0.000000
35(0)	0.966212	-13.906192	0.060000	0.030000	0.000000	0.000000
36(0)	0.975828	-13.634816	0.000000	0.000000	0.000000	0.000000
37(0)	0.984886	-13.445920	0.000000	0.000000	0.000000	0.000000
38(0)	1.012812	-12.734623	0.140000	0.070000	0.000000	0.000000
39(0)	0.982823	-13.491033	0.000000	0.000000	0.000000	0.000000
40(0)	0.972811	-13.658239	0.000000	0.000000	0.000000	0.000000
41(0)	0.996217	-14.076680	0.063000	0.030000	0.000000	0.000000
42(0)	0.966526	-15.532790	0.071000	0.044000	0.000000	0.000000
43(0)	1.009564	-11.354391	0.020000	0.010000	0.000000	0.000000
44(0)	1.016799	-11.856464	0.120000	0.018000	0.000000	0.000000
45(0)	1.036005	-9.270095	0.000000	0.000000	0.000000	0.000000
46(0)	1.059797	-11.116070	0.000000	0.000000	0.000000	0.000000
47(0)	1.033251	-12.511590	0.297000	0.116000	0.000000	0.000000
48(0)	1.027351	-12.610657	0.000000	0.000000	0.000000	0.000000
49(0)	1.036246	-12.936082	0.180000	0.085000	0.000000	0.000000
50(0)	1.023336	-13.412712	0.210000	0.105000	0.000000	0.000000
51(0)	1.052262	-12.533398	0.180000	0.053000	0.000000	0.000000
52(0)	0.980368	-11.497560	0.049000	0.022000	0.000000	0.000000
53(0)	0.970946	-12.252591	0.200000	0.100000	0.000000	0.000000
54(0)	0.996319	-11.709656	0.041000	0.014000	0.000000	0.000000
55(0)	1.030786	-10.801127	0.068000	0.034000	0.000000	0.000000
56(0)	0.968369	-16.065069	0.076000	0.022000	0.000000	0.000000
57(0)	0.964826	-16.583698	0.067000	0.020000	0.000000	0.000000
以上括号中的节点编号是原始的节点号,没有进行优化编号时为0
系统总有功网损:0.278638
系统总无功网损:5.882082