考虑SOP与主动电压控制的有源配网两阶段随机规划

doi:10.16180/j.cnki.issn1007-7820.2025.05.001

Abstract

Abstract:

In order to solve the problem of insufficient carrying capacity of the distribution network for new energy, this study proposes a joint planning model and solution method considering SOP(Soft Open Point) and active load voltage control. The SOP mathematical model applied to distribution network planning is established, and the linear model is established for the load voltage characteristics in polynomial form and exponential form respectively. A two-stage stochastic second-order cone programming model for active distribution network is established with the objective of distributed new energy carrying capacity, investment cost and operation cost to determine the location, capacity and intraday operating strategy of devices including SOP, capacitors and distributed energy sources.Considering the uncertainty of new energy, load and energy price, a scene clustering method based on K-means is proposed. An improved Benders decomposition algorithm is proposed to solve the proposed model. The validity and correctness of the proposed model are verified by the improved 51-node system, and the influence of SOP and active voltage control on the carrying capacity of new energy is analyzed.

Key words: soft switching, active voltage control, load voltage characteristics, random programming, photovoltaic bearing capacity, second-order cone programming, trusted region method, Benders decomposition

CLC Number:

TP202

LIU Aiwang, ZHANG Mingming, YAO Baoming, HU Chengping, JIANG Zhenyu, ZHANG Chao, SHI Yunhui. Two-Stage Stochastic Programming of Active Distribution Network Considering SOP and Active Voltage Control[J].Electronic Science and Technology, 2025, 38(5): 1-7.

Figures/Tables 9

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Table 1.

Table 2.

Table 3.

Table 4.

References 19

[1]	李鹏, 王瑞, 冀浩然, 等. 低碳化智能配电网规划研究与展望[J]. 电力系统自动化, 2021, 45(24):10-21.
	Li Peng, Wang Rui, Ji Haoran, et al. Research and prospect of planning for low-carbon smart distribution network[J]. Automation of Electric Power Systems, 2021, 45(24):10-21.
[2]	李立新, 周宇昊, 郑文广. 能源转型背景下分布式能源技术发展前景[J]. 发电技术, 2020, 41(6):571-577. doi: 10.12096/j.2096-4528.pgt.20116
	Li Lixin, Zhou Yuhao, Zheng Wenguang. Development prospects of distributed energy technology under the background of energy transition[J]. Power Generation Technology, 2020, 41(6):571-577. doi: 10.12096/j.2096-4528.pgt.20116
[3]	史振利, 魏业文. 基于粒子群算法的主动配电网多目标优化调度[J]. 电子科技, 2022, 35(9):7-14.
	Shi Zhenli, Wei Yewen. Multi-objective optimization of active distribution network based on particle swarm optimization[J]. Electronic Science and Technology, 2022, 35(9):7-14.
[4]	宋淼, 王克文. 主动配电网中考虑空间与时间相关性的分布式光伏并网规划[J]. 电力系统保护与控制, 2019, 47(5):106-114.
	Song Miao, Wang Kewen. Planning of distributed PV grid-access considering the space and time correlation in active distribution network[J]. Power System Protection and Control, 2019, 47(5):106-114.
[5]	高慧, 晏寒婷, 黄春艳. 考虑“源-荷-储”灵活性资源协调的主动配电网双层规划[J]. 广东电力, 2019, 32(5):29-35.
	Gao Hui, Yan Hanting, Huang Chunyan. Bi-level planning of active power distribution network considering coordination of flexible resources of source-load-storage[J]. Guangdong Electric Power, 2019, 32(5):29-35.
[6]	Ji H R, Wang C S, Li P, et al. An enhanced SOCP-based method for feeder load balancing using the multiterminal soft open point in active distribution networks[J]. Applied Energy, 2017, 20(8):986-995.
[7]	孙充勃, 原凯, 李鹏, 等. 基于SOP的多电压等级混联配电网运行二阶锥规划方法[J]. 电网技术, 2019, 43(5):1599-1605.
	Sun Chongbo, Yuan Kai, Li Peng, et al. A second-order cone programming method for hybrid multiple voltage level distribution networks based on soft open points[J]. Power System Technology, 2019, 43(5):1599-1605.
[8]	Ji H, Wang C, 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.
[9]	王杨, 向月, 刘俊勇. 聚类网架拓扑与源荷关联场景生成下配电网分布式电源规划方法[J]. 电力自动化设备, 2020, 40(12):49-56,65.
	Wang Yang, Xiang Yue, Liu Junyong. Distributed generator planning method in distribution network based on clustering network topology and source-load correlation scenarios[J]. Electric Power Automation Equipment, 2020, 40(12):49-56,65.
[10]	卢光辉, 滕欢, 廖寒逊. 基于变量相关性特征聚类的多场景分布式电源规划[J]. 电力系统及其自动化学报, 2020, 32(12):95-101.
	Lu Guanghui, Teng Huan, Liao Hanxun. Multi-scenario distributed generation planning based on clustering of variable correlation features[J]. Proceedings of the CSU-EPSA, 2020, 32(12):95-101.
[11]	Chen X, Wu W, Zhang B. Robust capacity assessment of distributed generation in unbalanced distribution networks incorporating ANM techniques[J]. IEEE Transactions on Sustainable Energy, 2018, 9(2):651-663.
[12]	梁海深, 李盛伟, 白临泉, 等. 基于SNOP的柔性配电网中分布式电源最大准人容量计算[J]. 电力建设, 2018, 39(8):69-76. doi: 10.3969/j.issn.1000-7229.2018.08.009
	Liang Haishen, Li Shengwei, Bai Linquan, et al. Allowable DG penetration capacity calculation of SNOP-based flexible distribution network[J]. Electric Power Construction, 2018, 39(8):69-76. doi: 10.3969/j.issn.1000-7229.2018.08.009
[13]	王志强, 郭晨阳, 刘文霞, 等. 计及负荷特性的配电网多时间尺度电压控制及协调修正[J]. 电力系统自动化, 2017, 41(15):51-57.
	Wang Zhiqiang, Guo Chenyang, Liu Wenxia, et al. Multi-time scale voltage control and coordinated correction for distribution networks considering load characteristics[J]. Automation of Electric Power Systems, 2017, 41(15):51-57.
[14]	范心明, 彭飞进, 伍肇龙, 等. 基于混合整数凸规划的主动配电网无功电压优化运行方法[J]. 电力电容器与无功补偿, 2018, 39(4):99-105.
	Fan Xinming, Peng Feijin, Wu Zhaolong, et al. Optimization operation method of reactive power voltage of active distribution network based on mixed integer convex programming[J]. Power Capacitor and Reactive Power Compensation, 2018, 39(4):99-105.
[15]	Home-Ortiz J M, Vargas R, Macedo L H, et al. Joint reconfiguration of feeders and allocation of capacitor banks in radial distribution systems considering voltage-dependent models[J]. International Journal of Electrical Power and Energy Systems, 2019, 10(7):298-310.
[16]	Xiao J, Zu G, Gong X, et al. Observation of security region boundary for smart distribution grid[J]. IEEE Transactions on Smart Grid, 2017, 8(4):1731-1738.
[17]	Bloemink J M, Green T C. Increasing distributed generation penetration using soft normally-open points[C]. Minneapolis: IEEE PES General Meeting, 2010:1-8.
[18]	Likas A, Vlassis N, Verbeek J J. The global K-means clustering algorithm[J]. Pattern Recognition, 2002, 36(2):451-461.
[19]	Lemarechal C, Nemirovskii A, Nesterov Y. New variants of bundle methods[J]. Mathematical Programming, 1995, 69(3):111-147.

指标	算例1	算例2	算例3	算例4
总成本/万元	2 008.740 0	2 138.930 0	1 915.500 0	2 007.120 0
总投资成本/万元	275.149 8	457.870 4	303.607 8	501.349 4
线路投资/万元	7.708 8	1.676 4	13.219 8	3.755 4
电容器投资/万元	5.841 0	3.894 0	7.788 0	3.894 0
SOP投资/万元	0	80	0	80
光伏投资/万元	261.600 0	372.3	282.600 0	413.700 0
总运行成本/万元	1 733.600 0	1 611.060 0	1 681.900 0	1 505.780 0
最小节点电压/p.u.	0.950 0	0.950 0	0.950 0	0.950 0
最大节点电压/p.u.	1.050 0	1.050 0	1.050 0	1.050 0
光伏承载力/MVA	8.720 0	12.410 0	9.420 0	13.790 0

投资策略	算例 1	算例 2	算例 3	算例 4
线路更换 (线路i-j,类型)	01-02, II; 02-03, II; 03-04, II 04-05, II; 05-06, II; 06-07, II	01-02, II; 02-03, II; 11-12, II	01-02, II; 02-03, II; 03-04, II 04-05, II; 05-06, II; 06-07, II	01-02, II; 02-03, II; 03-04, II 04-05, II;
SOP安装位置	-	14-32;25-44	-	14-32;25-44
电容器 (节点i,台数)	14, 1; 24, 1; 64, 1	14, 1; 64, 1	14, 1; 24, 1; 45, 1; 57, 1	14, 1; 24, 1
光伏(节点i,容量)	32, 4.01; 34, 2.39; 43,1.66;47,0.64	32, 4.10; 34, 4.00; 43,3.72;47,0.57	32, 3.40; 34, 2.41; 43,3.01;47,0.58	32, 4.85; 34, 4.04; 43,4.26;47,0.62

SOP容量上限/kVA	准入容量/MVA				总容量/ MVA
SOP容量上限/kVA	节点32	节点34	节点43	节点47	总容量/ MVA
500	4.12	4.05	4.23	0.56	12.96
1 000	4.85	4.05	4.27	0.62	13.79
1 500	5.45	4.05	4.28	0.74	14.51
2 000	6.18	4.05	4.29	0.74	15.26
2 500	6.18	4.05	4.29	0.74	15.26

质心数	场景数	总成本 /万元	相对误差/%	CPU 时间/h
1	8	6 506.84	2.90	0.39
2	16	6 705.50	0.06	1.95
4	32	6 701.18	0.00	6.72
8	64	6 711.63	0.16	11.45
16	128	6 747.81	0.70	24.37
32	256	6 756.17	0.82	39.60
64	512	6 755.81	0.82	93.93

Two-Stage Stochastic Programming of Active Distribution Network Considering SOP and Active Voltage Control

RichHTML

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 9

References 19

Related Articles 3

Metrics

Comments

Recommended 0

[1]	SUN Kuiyi, WANG Jingmei. Research on Active Clamping Technique for Flyback Converter [J]. Electronic Science and Technology, 2025, 38(5): 76-82.
[2]	YANG Liang,ZHANG Qinglei,WANG Zhenzhen,WANG Chuangang. Design of a Boost DC/DC Converter Based on Phase-shifted Full-bridge Technology [J]. , 2015, 28(10): 148-.
[3]	WANG Fuqiang. Design of A Novel Buck Synchronous Rectifier Switch Power Supply [J]. , 2015, 28(1): 20-.