柔性控制器MMC子模块最优冗余数量双重协同优化方法

doi:10.16183/j.cnki.jsjtu.2021.444

摘要/Abstract

摘要：

柔性直流系统中模块化多电平换流器(MMC)的子模块故障影响系统正常运行,可靠性和经济性的相互制约是MMC冗余数量配置优化的关键问题之一.对此,建立含冗余子模块MMC可靠性和经济性数学模型的多目标优化函数,提出一种柔性控制器子模块冗余数量双重协同优化方法.该方法结合权重系数和NSGAII多目标优化算法的优势,在冗余数量取相同选择偏好下,计算得到两者优化结果的交集.以南京某柔性台区直流工程为例,在MATLAB中搭建模型,仿真结果表明所提方法在满足柔性直流系统可靠性的同时,能够显著提高经济性,为实际柔性直流工程中MMC冗余子模块数量配置提供思路.

关键词: 模块化多电平换流器, 冗余子模块, NSGAII多目标优化, 权重系数, 冗余数量优化

Abstract:

The failure of modular multilevel converter (MMC) submodules in the flexible direct current (DC) system affects the normal operation of the system, and the mutual restriction of reliability and economy is one of the key issues of MMC redundancy configuration optimization. A multi-objective optimization function of MMC reliability and economy mathematical model with redundant submodules was established. Based on the weight coefficient and NSGAII multi-objective optimization methods, a dual collaborative optimization for redundancy quantity of flexible controller was proposed. Combining the advantages of the two methods, the intersection of the two optimization results was calculated under the same redundancy quantity selection preference. A model based on a DC project in a flexible station area of Nanjing was built in MATLAB. The simulation results prove that the proposed method can not only meet the reliability of the flexible DC system, but also significantly improve the economy. It provides ideas for redundancy quantity of MMC submodules in the actual flexible DC project.

Key words: modular multilevel converter (MMC), redundant submodule, NSGAII multi-objective optimization, weight coefficient, redundancy quantity optimization

中图分类号:

TM-9

马洲俊, 王勇, 王杰, 陈少宇. 柔性控制器MMC子模块最优冗余数量双重协同优化方法[J]. 上海交通大学学报, 2022, 56(3): 325-332.

MA Zhoujun, WANG Yong, WANG Jie, CHEN Shaoyu. A Dual Cooperative Optimization for Optimal Redundancy Quantity of MMC Submodules of Flexible Controller[J]. Journal of Shanghai Jiao Tong University, 2022, 56(3): 325-332.

图/表 6

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图3

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系统参数	取值
PCC额定电压	10 kV
交流侧等效电感(p.u.)	0.018
交流侧等效电阻(p.u.)	0.006
桥臂电感(p.u.)	0.0025
控制器额定容量	2 MV·A
PCC额定频率	50 Hz

N₀	R_MMC	E_MMC	C_MMC	满足约束	MOF
0	0.02585878	0	1.00	否	0.315515
1	0.43383842	0.34259043	0.95	否	0.579562
2	0.84775460	0.28712341	0.90	否	0.807365
3	0.97306173	0.22375505	0.85	是	0.861213
4	0.99616279	0.17918262	0.80	是	0.855616
5	0.99952667	0.14990391	0.75	是	0.839706
6	0.99994782	0.12998974	0.70	是	0.822968
7	0.99999476	0.11571327	0.65	是	0.806568
8	0.99999951	0.10499990	0.60	是	0.790500
9	0.99999996	0.09666665	0.55	否	0.774667
10	1.00000000	0.08999999	0.50	否	0.759000

N₀	满足约束	MOF
N₀	满足约束	(0.5,0.2, 0.3)	(0.6,0.1, 0.3)	(0.7,0.1, 0.2)	(0.8,0.1, 0.1)
0	否	0.3129290	0.315515	0.218101	0.120687
1	否	0.5704372	0.579562	0.527946	0.476330
2	否	0.7513019	0.807365	0.802141	0.796916
3	是	0.7862818	0.861213	0.873519	0.885825
4	是	0.7739179	0.855616	0.875232	0.894848
5	是	0.7547441	0.839706	0.864659	0.889612
6	是	0.7359718	0.822968	0.852962	0.882957
7	是	0.7181400	0.806568	0.841568	0.876567
8	是	0.7009997	0.790500	0.830500	0.870500
9	否	0.7293333	0.774667	0.819667	0.864667
10	否	0.7180000	0.759000	0.809000	0.859000