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

电子科技 ›› 2025, Vol. 38 ›› Issue (5): 1-7.doi: 10.16180/j.cnki.issn1007-7820.2025.05.001

• • 下一篇

考虑SOP与主动电压控制的有源配网两阶段随机规划

刘艾旺¹(), 张明明¹, 姚宝明¹, 胡程平¹, 姜振宇¹, 张超¹, 施云辉²

1.国网浙江省电力有限公司海盐县供电公司,浙江嘉兴 314399
2.浙江大学电气工程学院,浙江杭州 310027

收稿日期:2023-10-16 修回日期:2023-11-12 出版日期:2025-05-15 发布日期:2025-05-14
通讯作者: 刘艾旺 E-mail:385199092@qq.com
作者简介:张明明(1990-),男,工程师。研究方向:配电网规划、方式计算。
基金资助:
国家自然科学基金(52007173)

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

LIU Aiwang¹(), ZHANG Mingming¹, YAO Baoming¹, HU Chengping¹, JIANG Zhenyu¹, ZHANG Chao¹, SHI Yunhui²

1. Haiyan County Power Supply Company,State Grid Zhejiang Electric Power Co., LTD.,Jiaxing 314399,China
2. College of Electrical Engineering,Zhejiang University,Hangzhou 310027,China

Received:2023-10-16 Revised:2023-11-12 Online:2025-05-15 Published:2025-05-14
Contact: LIU Aiwang E-mail:385199092@qq.com
Supported by:
National Natural Science Foundation of China(52007173)

摘要/Abstract

摘要：

为解决配网对新能源承载力不足的问题,文中提出了一种考虑软开关(Soft Open Point, SOP)和负荷主动电压控制的联合规划模型和求解方法。建立应用于配电网规划的SOP数学模型,分别针对多项式形式和指数形式的负荷电压特性建立线性化模型。以分布式新能源承载力、投资成本和运行成本为目标,建立有源配网两阶段随机二阶锥规划模型,对SOP、电容器组以及分布式新能源等设备的选址定容及其日内运行策略做出决策。考虑新能源、负荷和能源价格的不确定性,提出了基于K均值的场景聚类方法,提出了基于信赖域法的Benders分解算法来求解所提模型。通过改进51节点系统验证了所提模型的有效性和正确性,并分析了SOP与主动电压控制对新能源承载力的影响。

关键词: 软开关, 主动电压控制, 负荷电压特性, 随机规划, 光伏承载力, 二阶锥规划, 信赖域, Benders分解

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

中图分类号:

TP202

刘艾旺, 张明明, 姚宝明, 胡程平, 姜振宇, 张超, 施云辉. 考虑SOP与主动电压控制的有源配网两阶段随机规划[J]. 电子科技, 2025, 38(5): 1-7.

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.

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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

考虑SOP与主动电压控制的有源配网两阶段随机规划

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

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