Optimal operation of three-phase unbalanced active distribution system based on semidefinite relaxation and convex-concave procedure

IF 3.3 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Electric Power Systems Research Pub Date : 2024-10-10 DOI:10.1016/j.epsr.2024.111128

Yidan Zhou, Yao Zhang, Qianhao Sun, Jiale Wang, Yingjie Zhao, Jianxue Wang

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Abstract

The three-phase distribution optimal power flow (D-OPF) problem has attracted much attention in recent years due to practical requirements for managing distributed energy resources and multi-energy customers in unbalanced active distribution systems. To deal with the strong nonconvexity of the three-phase OPF problem, this paper develops the semidefinite programming (SDP) formulation of three-phase OPF problems considering the mutual coupling in multi-phase networks. Instead of directly dropping the rank-one constraints, a sequential convex optimization algorithm based on the convex-concave procedure (CCP) is proposed for recovering a feasible and optimal solution of three-phase power flow. The proposed iterative algorithm not only has high computational efficiency but also guarantees the optimality when the semidefinite relaxation or second-order cone relaxation method is inexact. Case studies on various IEEE testing distribution systems verify that the proposed algorithm recovers the feasible and optimal power flow solution. It also exhibits a relatively low number of iterations and short solving time in large-scale IEEE testing systems.

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基于半无限松弛和凸凹程序的三相不平衡有源配电系统优化运行

近年来，由于不平衡有功配电系统中分布式能源资源和多能源客户管理的实际需求，三相配电优化功率流（D-OPF）问题备受关注。针对三相 OPF 问题的强非凸性，本文开发了考虑多相网络中相互耦合的三相 OPF 问题的半有限编程（SDP）公式。本文没有直接放弃秩一约束，而是提出了一种基于凸凹过程（CCP）的顺序凸优化算法，用于恢复三相功率流的可行最优解。所提出的迭代算法不仅计算效率高，而且在半有限松弛法或二阶锥松弛法不精确时也能保证最优性。对各种 IEEE 测试配电系统的案例研究验证了所提算法能恢复可行的最优功率流解决方案。在大规模 IEEE 测试系统中，该算法的迭代次数相对较少，求解时间较短。

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来源期刊

Electric Power Systems Research 工程技术-工程：电子与电气

CiteScore

7.50

自引率

17.90%

发文量

963

审稿时长

3.8 months

期刊介绍： Electric Power Systems Research is an international medium for the publication of original papers concerned with the generation, transmission, distribution and utilization of electrical energy. The journal aims at presenting important results of work in this field, whether in the form of applied research, development of new procedures or components, orginal application of existing knowledge or new designapproaches. The scope of Electric Power Systems Research is broad, encompassing all aspects of electric power systems. The following list of topics is not intended to be exhaustive, but rather to indicate topics that fall within the journal purview. • Generation techniques ranging from advances in conventional electromechanical methods, through nuclear power generation, to renewable energy generation. • Transmission, spanning the broad area from UHV (ac and dc) to network operation and protection, line routing and design. • Substation work: equipment design, protection and control systems. • Distribution techniques, equipment development, and smart grids. • The utilization area from energy efficiency to distributed load levelling techniques. • Systems studies including control techniques, planning, optimization methods, stability, security assessment and insulation coordination.