Multi-objective Optimization Control of Flexible Distribution Networks with Microgrid Clusters Based on Improved Memetic Algorithm

doi:10.11930/j.issn.1004-9649.202411003

Abstract

Abstract:

To fully leverage the coordination control of the soft open point (SOP) for distributed power generation, electric vehicles, energy storage, and other diversified micro groups, this paper investigates the coordinated optimization control strategy for flexible distribution networks with microgrid groups. The functions of different types of SOP access and the operation control modes of S are analyzed. Considering the load balancing and peak-valley shifting effects of SOP access and the economy of power grid operation, a multi-objective optimization model with the minimization of load variance, load rate variance, and active power network loss is established. Considering the complexity of the flexible distribution network, an improved memetic algorithm is proposed to solve the multiobjective optimization problem. Through simulation verification, it can be known that the proposed optimization model can reduce network loss and balance load by controlling SOP.

Key words: soft open point, distribution network, multi-objective

ZHAO Shanshan, Gao Fei, LI Yajie, LI Jianfang, ZHANG Yu, DUAN Xiangjun, DONG Weijie. Multi-objective Optimization Control of Flexible Distribution Networks with Microgrid Clusters Based on Improved Memetic Algorithm[J]. Electric Power, 2025, 58(9): 97-104.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202411003

https://www.electricpower.com.cn/EN/Y2025/V58/I9/97

Figures/Tables 14

Fig.1 Flowchart for multiobjective optimization based on Meme algorithm

Fig.2 Population coding scheme

Fig.3 The modified IEEE 33 bus system

Table 1 Information for distributed generation

类型	微网	安装容量/kW
PV	②	800
PV	①	800
PV	⑤	500
PV	⑥	400
WT	③	800
WT	④	500
WT	⑦	300

Fig.4 The output of photovoltaic power

Fig.5 The output of wind power

Fig.6 Load curve

Fig.7 The Pareto solutions

Fig.8 Active power for SOP2

Fig.9 Active power for SOP3

Fig.10 Reactive power for SOP

Table 2 SOP1 control parameters

时刻	端口1/MW	端口2/MW
04:00	–0.19	0.20
08:00	0.95	–1.00
09:00	1.42	–1.50
10:00	1.90	–2.00
11:00	2.38	–2.50
12:00	2.75	–2.90
13:00	2.85	–3.00
14:00	2.75	–2.90
15:00	2.38	–2.50
16:00	1.90	–2.00
17:00	1.42	–1.50
18:00	0.95	–1.00
19:00	0.48	–0.50
20:00	0.19	–0.20
21:00	–0.19	0.20

Fig.11 The convergence of modified meme algorithm

Fig.12 Solution of different methods

References 27

1	梁海深, 王康丽, 宋红宇, 等. 配电网柔性度对分布式发电消纳的影响规律和机理分析[J]. 中国电力, 2024, 57 (10): 36- 45.
	LIANG Haishen, WANG Kangli, SONG Hongyu, et al. Influence rules and mechanism analysis of distribution network flexibility degree on distributed generator accommodation[J]. Electric Power, 2024, 57 (10): 36- 45.
2	王杰, 郑飞, 张鹏城, 等. 基于数据驱动的高比例新能源配电网规划模型[J]. 中国电力, 2025, 58 (3): 175- 182.
	WANG Jie, ZHENG Fei, ZHANG Pengcheng, et al. Model of high-proportion new energy distribution network planning based on data-driven approach[J]. Electric Power, 2025, 58 (3): 175- 182.
3	杨康, 李蓝青, 李艺丰, 等. 一种新型分布式光伏出力区间预测方法[J]. 发电技术, 2024, 45 (4): 684- 695.
	YANG Kang, LI Lanqing, LI Yifeng, et al. A novel distributed photovoltaic output interval prediction method[J]. Power Generation Technology, 2024, 45 (4): 684- 695.
4	周洋, 黄德志, 李培栋, 等. 考虑平衡端点相位不对称及光伏接入的低压配电网三相潮流模型[J]. 中国电力, 2024, 57 (10): 190- 198.
	ZHOU Yang, HUANG Dezhi, LI Peidong, et al. A three-phase power flow model for low-voltage distribution networks considering balanced bus phase asymmetry and photovoltaic access[J]. Electric Power, 2024, 57 (10): 190- 198.
5	徐晶, 赵亮, 张梁, 等. 考虑移动储能接入的柔性配电网运行优化策略[J]. 中国电力, 2023, 56 (9): 112- 119.
	XU Jing, ZHAO Liang, ZHANG Liang, et al. Operation optimization method for flexible distribution network considering the integration of mobile energy storage[J]. Electric Power, 2023, 56 (9): 112- 119.
6	宣羿, 樊立波, 孙智卿, 等. 考虑低碳交通的电动汽车充电站优化配置方法[J]. 浙江电力, 2024, 43 (6): 69- 79.
	XUAN Yi, FAN Libo, SUN Zhiqing, et al. An optimal allocation method for electric vehicle charging stations considering lowcarbon transportation[J]. Zhejiang Electric Power, 2024, 43 (6): 69- 79.
7	崔露, 刘世林, 苗婉, 等. 考虑电转氢和需求响应的风光储综合充能站优化运行策略[J]. 发电技术, 2025, 46 (1): 31- 41.
	CUI Lu, LIU Shilin, MIAO Wan, et al. Optimized operation strategy of wind-solar-storage integrated charging station considering power-to-hydrogen and demand response[J]. Power Generation Technology, 2025, 46 (1): 31- 41.
8	刘文军, 董伟杰, 陈远扬, 等. 新能源高渗透配电网柔性多状态开关的多目标优化控制策略[J]. 中国电力, 2025, 58 (1): 85- 92.
	LIU Wenjun, DONG Weijie, CHEN Yuanyang, et al. Multi-objective optimization control strategy for soft open point in distribution network with high penetration of DG[J]. Electric Power, 2025, 58 (1): 85- 92.
9	许烽, 陆翌, 黄晓明, 等. 基于无变压器型电压源换流器的柔性多状态开关零序抑制策略[J]. 电力系统自动化, 2023, 47 (14): 124- 129.
	XU Feng, LU Yi, HUANG Xiaoming, et al. Zero-sequence suppression strategy of flexible multi-state switch based on transformerless voltage source converter[J]. Automation of Electric Power Systems, 2023, 47 (14): 124- 129.
10	QI Q, WU J Z, LONG C. Multi-objective operation optimization of an electrical distribution network with soft open point[J]. Applied Energy, 2017, 208, 734- 744. DOI
11	马智刚, 卫志农, 陈胜, 等. 基于柔性多状态开关的交直流配电网有功-无功优化调度[J]. 电力系统自动化, 2023, 47 (6): 48- 58.
	MA Zhigang, WEI Zhinong, CHEN Sheng, et al. Active-reactive power optimal dispatch of AC/DC distribution network based on soft open point[J]. Automation of Electric Power Systems, 2023, 47 (6): 48- 58.
12	丛鹏伟, 唐巍, 娄铖伟, 等. 含高渗透率可再生能源的主动配电网两阶段柔性软开关与联络开关协调优化控制[J]. 电工技术学报, 2019, 34 (6): 1263- 1272.
	CONG Pengwei, TANG Wei, LOU Chengwei, et al. Two-stage coordination optimization control of soft open point and Tie switch in active distribution network with high penetration renewable energy generation[J]. Transactions of China Electrotechnical Society, 2019, 34 (6): 1263- 1272.
13	JI H R, WANG C S, LI P, et al. Robust operation of soft open points in active distribution networks with high penetration of photovoltaic integration[J]. IEEE Transactions on Sustainable Energy, 2019, 10 (1): 280- 289. DOI
14	徐旖旎, 刘海涛, 熊雄, 等. 低压配电台区柔性互联关键技术与发展模式[J]. 中国电机工程学报, 2022, 42 (11): 3986- 4000.
	XU Yini, LIU Haitao, XIONG Xiong, et al. Key technologies and development modes of flexible interconnection of low-voltage distribution station area[J]. Proceedings of the CSEE, 2022, 42 (11): 3986- 4000.
15	LI C, DAI Y, WANG P, et al. Active and reactive power coordinated optimization of active distribution networks considering dynamic reconfiguration and SOP[J]. IET Renewable Power Generation, 2025, 19 (1): e12814. DOI
16	ZHANG L, YU S J, ZHANG B, et al. Outage management of hybrid AC/DC distribution systems: co-optimize service restoration with repair crew and mobile energy storage system dispatch[J]. Applied Energy, 2023, 335, 120422. DOI
17	YANG T X, ZHANG L M, ZHEN L T, et al. Fast microgrids formation of distribution network with high penetration of DERs considering reliability[J]. Energy, 2021, 236, 121524. DOI
18	ROUHANI S H, SU C L, MOBAYEN S, et al. Cyber resilience in renewable microgrids: a review of standards, challenges, and solutions[J]. Energy, 2024, 309, 133081. DOI
19	JANI A, KARIMI H, JADID S. Hybrid day-ahead and real-time energy trading of renewable-based multi-microgrids: a stochastic cooperative framework[J]. Sustainable Energy, Grids and Networks, 2024, 40, 101516. DOI
20	张博, 马梓耀, 王辰, 等. 含光储充一体化电站的城市交直流混合配电网韧性提升策略[J]. 电力系统自动化, 2023, 47 (12): 28- 37.
	ZHANG Bo, MA Ziyao, WANG Chen, et al. Resilience improvement strategy for urban AC/DC hybrid distribution network with photovoltaic-storage-charging integrated station[J]. Automation of Electric Power Systems, 2023, 47 (12): 28- 37.
21	王志凯. 配电网馈线柔性互联开关及其功率协调控制研究[D]. 长沙: 湖南大学, 2019.
	WANG Zhikai. Research on feeder flexible interconnection switch in distribution network and its power coordinated control[D]. Changsha: Hunan University, 2019.
22	王立强, 刘鸿清, 丛雨. 基于高斯混合模型的配电网分布式光伏接入影响量化分析方法[J]. 内蒙古电力技术, 2024, 42 (4): 93- 100.
	WANG Liqiang, LIU Hongqing, CONG Yu. Quantitative analysis method for impact of distributed photovoltaic access in distribution networks based on Gaussian mixture model[J]. Inner Mongolia Electric Power, 2024, 42 (4): 93- 100.
23	马成廉, 李闯, 薛冰, 等. 含高比例光伏配电网分区电压协调控制策略[J]. 东北电力大学学报, 2024, 44 (4): 77- 85.
	MA Chenglian, LI Chuang, XUE Bing, et al. Voltage coordination control strategy for zoning in distribution network with high proportion of photovoltaic[J]. Journal of Northeast Dianli University (Natural Science Edition), 2024, 44 (4): 77- 85.
24	王光辰. 基于Memetic算法的分布式车间调度方法研究[D]. 武汉: 华中科技大学, 2021.
	WANG Guangchen. Research on distributed shop scheduling methods based on memetic algorithm[D]. Wuhan: Huazhong University of Science and Technology, 2021.
25	DONG W J, ZHANG L M, ZHANG D X, et al. Hierarchical multi-objective planning for integrated energy systems in smart parks considering operational characteristics[J]. CSEE Journal of Power and Energy Systems, 2022, 8 (6): 1760- 1771.
26	ZHEN L T, ZHANG L M, YANG T X, et al. Simultaneous prediction for multiple source–loads based sliding time window and convolutional neural network[J]. Energy Reports, 2022, 8, 6110- 6125. DOI
27	武晓朦, 李晨晨, 党博. 基于改进二进制PSO配电网动态重构[J]. 西安石油大学学报(自然科学版), 2024, 39 (4): 124- 131.
	WU Xiaomeng, LI Chenchen, DANG Bo. Dynamic reconfiguration of distribution network based on improved binary particle swarm optimization algorithm[J]. Journal of Xi'an Shiyou University (Natural Science Edition), 2024, 39 (4): 124- 131.

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