基于保留非线性算法的直流配电网潮流计算 *

doi:10.11985/2020.04.009

摘要/Abstract

摘要：

随着直流负荷、直流电源的增加,直流供用电系统将成为未来配电系统的发展方向。为计算直流配电网的潮流分布,分析了电压源换流器的稳态模型及控制方式,建立了DC-DC变换器的统一稳态非理想模型,并在此基础上提出了基于保留非线性算法的直流配电网潮流计算。为解决保留非线性算法对初值要求高的问题,提出了一种利用线性潮流算法的解作为初值的方法,大大减少了迭代次数,所提算法在保证计算精度的同时提高了潮流计算速度。以30节点直流配电网模型为算例进行分析,并与牛顿拉夫逊算法计算结果对比,验证了保留非线性算法在计算速度上的优势。

关键词: 保留非线性, 直流配电网, 潮流计算, DC-DC变换器, 稳态非理想模型

Abstract:

With the increase of DC load and DC power source, DC power supply system will become the future development direction of distribution system. In order to calculate the power flow distribution of the DC distribution network, the steady-state model and control method of the voltage-sourced converter are analyzed, and the unified steady-state non-ideal model of the DC-DC converter is established. Based on the above analysis, a power flow calculation method of DC distribution network based on retaining-nonlinearity algorithm is proposed. To solve the problem that the retaining-nonlinearity algorithm requires high initial value, a method using the solution of linear power flow algorithm as the initial value is proposed, which greatly reduced the number of iterations. The proposed algorithm improved the speed of power flow calculation while ensuring accuracy. Taking the 30-node DC distribution network model as an example for analysis and the results are compared with the solution of Newton-Raphson algorithm, the advantage of retaining-nonlinearity algorithm in the calculation speed is verified.

Key words: Retaining-nonlinearity, DC distribution network, power flow calculation, DC-DC converter, steady-state non-ideal model

中图分类号:

TM744

刁守斌, 于涛, 王建建, 安鹏, 李辛鹏. 基于保留非线性算法的直流配电网潮流计算 ^*[J]. 电气工程学报, 2020, 15(4): 75-84.

DIAO Shoubin, YU Tao, WANG Jianjian, AN Peng, LI Xinpeng. Power Flow Calculation of DC Distribution Network Based on the Retaining-nonlinearity Algorithm[J]. Journal of Electrical Engineering, 2020, 15(4): 75-84.

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支路	控制方式	模块数N
4-12	恒变比D=0.350	3
6-9	恒变比D=0.367	3
6-10	恒变比D=0.364	3
28-27	恒变比D=0.370	3

节点号	负荷功率/p.u.	电压/p.u.
1	0	1.050
11	0	1.010
13	0	1.010

节点	发电功率/p.u.	负荷功率/p.u.	节点	发电功率/p.u.	负荷功率/p.u.
2	0.8	0.217 0	18	0	0.003 2
3	0	0.024 0	19	0	0.009 5
4	0	0.076 0	20	0	0.002 2
5	0.5	0.942 0	21	0	0.017 5
6	0	0	22	0	0
7	0	0.228 0	23	0	0.003 2
8	0.2	0.300 0	24	0	0.008 7
9	0	0	25	0	0
10	0	0.005 8	26	0	0.003 5
12	0	0.011 2	27	0	0
14	0	0.006 2	28	0	0
15	0	0.008 2	29	0	0.002 4
16	0	0.003 5	30	0	0.010 6
17	0	0.009 0

支路	电阻/p.u.	支路	电阻/p.u.
1-2	0.019 2	12-13	0.064 0
1-3	0.045 2	12-14	0.123 1
2-4	0.057 0	12-15	0.066 2
2-5	0.047 2	12-16	0.094 5
2-6	0.058 1	14-15	0.221 0
3-4	0.013 2	15-18	0.107 3
4-6	0.011 9	15-23	0.100 0
4-12	0	16-17	0.052 4
5-7	0.046 0	18-19	0.063 9
6-7	0.026 7	19-20	0.064 0
6-8	0.012 0	21-22	0.061 6
6-9	0	22-24	0.115 0
6-10	0	23-24	0.132 0
6-28	0.016 9	24-25	0.188 5
8-28	0.063 6	25-26	0.254 4
9-10	0.071 0	25-27	0.109 3
9-11	0.070 8	27-29	0.219 8
10-17	0.052 4	27-30	0.320 2
10-20	0.093 6	28-27	0
10-21	0.054 8	29-30	0.239 9
10-22	0.072 7

节点	NR电压/p.u.	RN电压/p.u.
1	1.050 000 00	1.050 000 00
2	1.047 703 41	1.047 703 38
3	1.042 522 51	1.042 522 48
4	1.040 642 69	1.040 642 67
5	1.029 352 94	1.029 352 92
6	1.038 208 94	1.038 208 92
7	1.031 221 23	1.031 221 21
8	1.037 186 36	1.037 186 33
9	1.006 975 99	1.006 975 99
10	1.004 067 35	1.004 067 35
11	1.010 000 00	1.010 000 00
12	1.005 662 02	1.005 662 02
13	1.010 000 00	1.010 000 00
14	1.004 609 64	1.004 609 64
15	1.004 084 23	1.004 084 23
16	1.004 510 04	1.004 510 04
17	1.004 053 85	1.004 053 85
18	1.003 294 08	1.003 294 08
19	1.003 027 33	1.003 027 33
20	1.003 366 33	1.003 366 33
21	1.003 167 86	1.003 167 86
22	1.003 231 35	1.003 231 35
23	1.003 016 17	1.003 016 17
24	1.002 027 47	1.002 027 47
25	1.000 278 89	1.000 278 88
26	0.999 387 94	0.999 387 94
27	0.999 647 77	0.999 647 77
28	1.037 898 65	1.037 898 63
29	0.998 309 24	0.998 309 24
30	0.997 425 05	0.997 425 04