三相不平衡主动配电网二阶锥优化建模仿真

doi:10.16182/j.issn1004731x.joss.24-0463

系统仿真学报 ›› 2025, Vol. 37 ›› Issue (9): 2258-2268.doi: 10.16182/j.issn1004731x.joss.24-0463

• 论文 • 上一篇

三相不平衡主动配电网二阶锥优化建模仿真

赵一然¹, 薛勇¹, 田昊欣², 张瑞芯², 张智², 陈艳波²

^1.国网河南省电力公司西峡县供电公司，河南南阳 474500
^2.新能源电力系统全国重点实验室(华北电力大学)，北京 102206

收稿日期:2024-04-28 修回日期:2024-06-03 出版日期:2025-09-18 发布日期:2025-09-22
通讯作者: 田昊欣
第一作者简介:赵一然(1990-)，男，工程师，本科，研究方向为配电台区优质供用电技术及应用。
基金资助:
国网河南省电力公司西峡县供电公司科学技术服务项目(SGHANYXXYWJS2310144)

Second-order Cone Optimization Modeling and Simulation for Three-phase Unbalanced Active Distribution Networks

Zhao Yiran¹, Xue Yong¹, Tian Haoxin², Zhang Ruixin², Zhang Zhi², Chen Yanbo²

^1.State Grid Henan Electric Power Company Xixia County Power Supply Company, Nanyang 474500, China
^2.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (North China Electric Power University), Beijing 102206, China

Received:2024-04-28 Revised:2024-06-03 Online:2025-09-18 Published:2025-09-22
Contact: Tian Haoxin

摘要/Abstract

摘要：

在“双碳”目标引领和新型电力系统建设推动下，配电网作为关键能源基础设施的支撑作用日益凸显。随着分布式光伏、电动汽车及新型储能技术的蓬勃兴起，配电网正经历从无源到有源、单向辐射到双向交互的深刻变革。主动配电网应运而生，肩负重要使命。针对三相不平衡主动配电网的最优潮流问题，计及相间耦合关系，通过升维映射和秩松弛，利用Sylvester准则形成电压、电流和功率之间的二阶锥约束，并将支路潮流模型由单时段扩展到多时段。同时，根据对称分量法的基本原理以及国家标准要求，构建三相电压不平衡度约束。综合运用主动管理与需求响应策略，以最小化配电网有功损耗为目标，建立基于混合整数二阶锥规划的三相不平衡主动配电网动态最优潮流模型，实现有功-无功协调优化调度。算例分析表明，所提方法能有效降低系统运行网损，显著改善三相电压不平衡度，满足国标2%的上限要求，可为三相不平衡配电网的精确建模仿真提供有益参考。

关键词: 主动配电网, 三相不平衡, 主动管理, 需求响应, 混合整数二阶锥规划, 动态最优潮流

Abstract:

Guided by the carbon peaking and carbon neutrality goals, and propelled by the development of new type power systems, the significance of distribution networks as key energy infrastructure has been increasingly underscored. Amidst the burgeoning rise of distributed photovoltaics, electric vehicles, and novel energy storage technologies, distribution networks are transitioning from passive entities to active systems capable of bidirectional interaction, heralding the advent of active distribution networks with a critical mission. This research tackles the optimal power flow issue in three-phase unbalanced active distribution networks, incorporating inter-phase coupling relationships. By employing dimensionality lifting and rank relaxation, along with the Sylvester criterion, second-order cone constraints are established among voltages, currents, and powers. The branch flow model is expanded from a single time period to multiple periods. In line with the principles of the symmetrical component method and national standards, constraints on three-phase voltage unbalance are formulated. The study integrates active management and demand response strategies, targeting the minimization of active energy losses in distribution networks. A dynamic optimal power flow model for three-phase unbalanced active distribution networks is developed based on mixed-integer second-order cone programming, facilitating coordinated optimization of active and reactive power dispatch. The case study analysis demonstrates that the proposed method can effectively reduce the system's operational network losses, significantly improve the degree of three-phase voltage unbalance, and comply with the national standard's upper limit of 2%, thus providing valuable insights for precise modeling and simulation of three-phase unbalanced distribution networks.

Key words: active distribution network, three-phase unbalance, active management, demand response, mixed-integer second-order cone programming, dynamic optimal power flow

中图分类号:

TP391.9

赵一然,薛勇,田昊欣等 . 三相不平衡主动配电网二阶锥优化建模仿真[J]. 系统仿真学报, 2025, 37(9): 2258-2268.

Zhao Yiran,Xue Yong,Tian Haoxin,et al . Second-order Cone Optimization Modeling and Simulation for Three-phase Unbalanced Active Distribution Networks[J]. Journal of System Simulation, 2025, 37(9): 2258-2268.

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名称	参数值	名称	参数值
OLTC变比	1±6%	OLTC日最大调节次数	5
单组CB补偿功率/Mvar	0.1	CB最大投运组数	5
CB日最大调节次数	5	SVC补偿功率/Mvar	-0.1~0.3
ESS充放电功率/MW	0~0.3	ESS充放电效率	0.90(充电)0.85(放电)
ESS剩余电量/MWh	0.15~0.8	DPV功率因数	0.95(超前)~0.95(滞后)

三相不平衡主动配电网二阶锥优化建模仿真

Second-order Cone Optimization Modeling and Simulation for Three-phase Unbalanced Active Distribution Networks

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