引入加权系数的交直流混合微电网潮流计算

doi:10.16180/j.cnki.issn1007-7820.2019.04.020

Abstract

Abstract:

In the power flow calculation of AC/DC hybrid micro grid under droop control, the diagonal elements of the Jacobi matrix are zero and the matrix cannot be solved. In response to these phenomena, an improved power flow calculation algorithm with weighting coefficient was proposed. The weighting coefficient which could be solved by constructing error sum of squares is applied on F(k) and F(k+1). The solution of iteration k+1 was obtained according to the relation between iteration k+1 and iteration (k). The process above was stopped until the result converges. The proposed algorithm was proved to be correct and effective by using the example of IEEE30 node, and it was applied on the power flow calculation of AC/DC hybrid micro grid under droop control.

Key words: droop control, AC/DC hybrid micro grid, Jacobi matrix, weighting coefficient, error sum of squares, power flow

CLC Number:

TP301

YI Ming,WANG Shilong,FAN Yumeng. Power Flow Calculation of AC/DC Hybrid Micro Grid with Weighting Coefficient[J].Electronic Science and Technology, 2019, 32(4): 90-95.

Figures/Tables 9

Figure 1.

Table 1

Steady-state parameters of DC-DC converters"

名称	M(D)	R_g/Ω	U_g/V
Buck-Boost变换器	- $D (1 - D)$	$D R S + R L + (1 - D) R D (1 - D) 2$	U_D
全桥变换器	2nD	2n²DR_T₁+R_L+DR_T₂+ $R T 2 2$ +2DR_D+R_D	2U_D+4nDU_Q

Table 1

Figure 2.

Figure 3.

Table 2

Figure 4.

Table 3

Table 4

Table 5

References 16

[1]	Eajal A A, El-Saadany E F . A unified approach to the power flow analysis of AC/DC hybrid micro grids[J]. IEEE Transactions on Sustainable Energy, 2016,7(3):1145-1158. doi: 10.1109/TSTE.2016.2530740
[2]	彭寒梅, 曹一家, 黄小庆 . 基于BFGS信赖域算法的孤岛微电网潮流计算[J]. 中国电机工程学报, 2014,34(16):2629-2638. doi: 10.13334/j.0258-8013.pcsee.2014.16.013
	Peng Hanmei, Cao Yijia, Huang Xiaoqing . Power flow calculation of islanded microgrids based on BFGS trust region method[J]. Proceedings of the CSEE, 2014,34(16):2629-2638. doi: 10.13334/j.0258-8013.pcsee.2014.16.013
[3]	刘杨华, 吴政球 . 孤岛运行的微电网潮流计算方法研究[J]. 电力系统保护与控制, 2010,38(23):16-20. doi: 10.3969/j.issn.1674-3415.2010.23.004
	Liu Yanghua, Wu Zhengqiu . Study on power flow calculation method for islanding micro grids[J]. Power System Protection and Control, 2010,38(23):16-20. doi: 10.3969/j.issn.1674-3415.2010.23.004
[4]	杭少松 . 微电网建模与仿真研究[D]. 北京:华北电力大学, 2014.
	Hang Shaosong . The microgrid modeling and simulation studies[D]. Beijing:North China Electric Power University, 2014.
[5]	徐德鸿, 陈治明, 李永东 . 现代电力电子学[M]. 北京: 机械工业出版社, 2012.
	Xu Dehong, Chen Zhiming, Li Yongdong. Modern power electronics[M]. Beijing: China Machine Press, 2012.
[6]	李韦姝 . 直流配电网潮流计算模型及算法研究[D]. 北京:华北电力大学, 2015.
	Li Weishu . Research on model and algorithm of power flow calculation in dc distribution network[D]. Beijing:North China Electric Power University, 2014.
[7]	彭寒梅, 曹一家, 黄小庆 , 等. 无平衡节点孤岛运行微电网的连续潮流计算[J]. 中国电机工程学报, 2016,36(8):2057-2067. doi: 10.13334/j.0258-8013.pcsee.2016.08.004
	Peng Hanmei, Cao Yijia, Huang Xiaoqing , et al. Continuous power flow for islanding microgrid without balance nodes[J]. Proceedings of the CSEE, 2016,36(8):2057-2067. doi: 10.13334/j.0258-8013.pcsee.2016.08.004
[8]	Li C, Chaudhary S K, Savaghebi M . Power flow analysis for low-voltage AC and DC micro grids considering droop control and virtual impedance[J]. IEEE Transactions on Smart Grid, 2017,8(6):2754-2764. doi: 10.1109/TSG.2016.2537402
[9]	石梦 . 下垂控制孤岛微电网的三相不对称随机潮流计算方法研究[D]. 西安:西安理工大学, 2017.
	Shi Meng . The method of probabilistic power flow calculation of three-phase asymmetric islanded micro grid of droop control[D]. Xi’an:Xi’an University of Technology, 2017.
[10]	王成山 . 微电网分析与仿真理论[M]. 北京: 科学出版社, 2013 .
	Wang Chengshan. Analysis and simulation of micro grids[M]. Beijing: Science Press, 2013.
[11]	刘家赢, 韩肖清, 王磊 , 等. 直流微电网运行控制策略[J]. 电网技术, 2014,38(9):2356-2362. doi: 10.13335/j.1000-3673.pst.2014.09.007
	Liu Jiaying, Han Xiaoqing, Wang Lei , et al. Operation and control strategy of DC microgrid[J]. Power System Technology, 2014,38(9):2356-2362. doi: 10.13335/j.1000-3673.pst.2014.09.007
[12]	和敬涵, 李智诚, 王小君 , 等. 计及多种控制方式的直流电网潮流计算方法[J]. 电网技术, 2016,40(3):712-718. doi: 10.13335/j.1000-3673.pst.2016.03.008
	He Jinghan, Li Zhicheng, Wang Xiaojun , et al. Power flow algorithm for DC grid considering various control modes[J]. Power System Technology, 2016,40(3):712-718. doi: 10.13335/j.1000-3673.pst.2016.03.008
[13]	施婕, 郑漳华, 艾芊 . 直流微电网建模与稳定性分析[J]. 电力自动化设备, 2010,30(2):86-90.
	Shi Jie, Zheng Zhanghua, Ai Qian . Modeling of DC micro-grid and stability analysis[J]. Electric Power Automation Equipment, 2010,30(2):86-90.
[14]	柴润泽, 张保会, 薄志谦 . 含电压源型换流器直流电网的交直流网络潮流交替迭代方法[J]. 电力系统自动化, 2015,39(7):7-13. doi: 10.7500/AEPS20140514005
	Chai Runze, Zhang Baohui, Bo Zhiqian . Alternating iterative power flow algorithm for hybrid AC/DC networks containing DC grid based on voltage source converter[J]. Automation of Electric Power Systems, 2015,39(7):7-13. doi: 10.7500/AEPS20140514005
[15]	孙志媛, 孙艳, 宁文辉 . 具有三阶收敛速度的潮流算法[J]. 电力系统保护与控制, 2009,37(4):5-8. doi: 10.3969/j.issn.1674-3415.2009.04.002
	Sun Zhiyuan, Sun Yan, Ning Wenhui . Power flow algorithm with cubic convergence[J]. Power System Protection and Control, 2009,37(4):5-8. doi: 10.3969/j.issn.1674-3415.2009.04.002
[16]	杨大为, 黄秀琼, 杨建华 , 等. 微电网和分布式电源系列标准IEEE1547述评[J]. 南方电网技术, 2012,6(5):7-12.
	Yang Dawei, Huang Xiuqiong, Yang Jianhua , et al. Introduction to and analysis on IEEE 1574 standard series for microgrids and distributed resources[J]. Southern Power System Technology, 2012,6(5):7-12.

节点	牛拉法节点电压/pu	改进牛拉法节点电压/pu	加权牛拉法节点电压/pu
1	1.0	1.0	1.0
2	0.999 8+j0.019 6	0.999 8+j0.019 6	0.999 9+j0.019 7
3	0.983 5-j0.007 3	0.983 5-j0.007 3	0.983 4-j0.007 4
4	0.980 4-j0.008 0	0.980 3-j0.008 0	0.980 4-j0.007 9
5	0.9824-j0.006 3	0.9824-j0.006 2	0.9824-j0.006 3
6	0.973 4-j0.014 0	j0.973 4-j0.014 0	0.973 5-j0.013 9
7	0.967 3-j0.020 1	0.967 4-j0.020 0	0.967 3-j0.020 0
8	0.960 7-j0.021 4	0.960 7-j0.021 4	0.960 7-j0.021 4
9	0.980 0-j0.023 3	0.980 0-j0.023 3	0.980 1-j0.023 2
10	0.983 5-j0.028 2	0.983 4-j0.028 3	0.983 5-j0.028 2
11	0.980 0-j0.023 3	0.980 0-j0.023 3	0.980 0-j0.023 3
12	0.984 5+j0.004 3	0.984 4+j0.004 3	0.984 5+j0.004 4
13	0.998 4+j0.057 0	0.998 3+j0.057 0	0.998 4+j0.057 0
14	0.975 5-j0.006 9	0.975 4-j0.007 0	0.975 5-j0.006 8
15	0.979 7-j0.005 0	0.979 7-j0.005 0	0.979 7-j0.004 9
16	0.976 5-j0.015 0	0.976 5-j0.015 0	0.976 5-j0.015 0
17	0.975 9-j0.028 1	0.976 0-j0.028 0	0.975 8-j0.028 2
18	0.967 5-j0.026 3	0.967 4-j0.026 4	0.967 5-j0.026 3
19	0.964 0-j0.035 3	0.964 1-j0.035 3	0.964 0-j0.035 4
20	0.968 0-j0.034 5	0.968 0-j0.034 6	0.968 0-j0.034 5
21	0.992 8-j0.029 7	0.992 9-j0.029 6	0.992 9-j0.029 6
22	0.999 6-j0.028 0	0.999 7-j0.027 9	0.999 7-j0.027 9
23	0.999 9+j0.016 8	0.999 8+j0.016 7	0.999 9+j0.016 8
24	0.988 8-j0.010 3	0.988 7-j0.010 3	0.988 9-j0.010 2
25	0.990 3+j0.002 2	0.990 3+j0.002 2	0.990 3+j0.002 2
26	0.972 3-j0.005 5	0.972 3-j0.005 4	0.972 3-j0.005 5
27	0.999 9+j0.014 9	0.999 9+j0.014 8	1.000 0+j0.015 0
28	0.975 0-j0.013 6	0.975 0-j0.013 5	0.975 0-j0.013 5
29	0.979 6-j0.007 7	0.979 6-j0.007 7	0.979 5-j0.007 8
30	0.967 6-j0.023 0	0.967 7-j0.022 9	0.967 5-j0.023 0

首端节点	末端节点	支路阻抗/Ω
1	2	0.582 4+j4.800 0
2	3	0.161 0+j0.037 4
2	4	0.032 2+j0.007 5
3	4	0.016 1+j0.003 7
4	5	0.003 0+j3.211 6

节点	节点电压/pu		节点	节点电压/pu
节点	算法	DigSilent	节点	算法	DigSilent
1	1.001 5	1.001 4	8	0.999 8	1.000 2
2	1.001 2	1.001 3	9	1.001 0	1.001 0
3	1.001 6	1.001 6	10	1.000 4	1.000 4
4	0.999 4	0.999 4	11	1.000 8	1.000 6
5	1.000 6	1.000 6	12	1.000 9	1.001 3
6	1.000 2	1.000 4	13	1.000 8	1.000 7
7	1.000 4	1.000 4

Power Flow Calculation of AC/DC Hybrid Micro Grid with Weighting Coefficient

RichHTML

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 9

References 16

Related Articles 5

Metrics

Comments

Recommended 10

[1]	YAN Zhenbin,ZHENG Bochao,ZHOU Zhiyong. Research on Grid Connection of Photovoltaic Power Generation Systems Based on a New Robust Droop Control Method [J]. Electronic Science and Technology, 2021, 34(8): 79-86.
[2]	CHEN Chen，LI Sen，LI Lingjuan. Analysis of Load Shedding Based on Matpower [J]. , 2016, 29(6): 11-.
[3]	JIAN Xianzhong,WANG Jia. Reactive Power Optimization Incorporating Unified Power Flow Controller [J]. , 2015, 28(9): 50-.
[4]	SHEN Shudong,MENG Xiang. Static State Security Analysis of Power System Based on PSS/E [J]. , 2015, 28(9): 159-.
[5]	MENG Xiang,SHEN Shudong. Island Judging and Processing Based on Matlab and Matpower [J]. , 2015, 28(10): 123-.

节点	负荷功率/kW	节点	负荷功率/kW
1	0	8	57
2	20+j10	9	9.3
3	0	10	15
4	60+j10	11	25.8
5	0	12	0
6	15	13	12.7
7	14.1	-	-