Second-order Cone Relaxation Model Adapting to Reactive Power Optimization for Three-phase Unbalanced Active Distribution Network

被引：0

作者：

Xu T. ^{[1
]}

Ding T. ^{[1
]}

Li L. ^{[2
]}

Wang K. ^{[2
]}

Chi F. ^{[2
]}

Gao H. ^{[2
]}

机构：

[1] School of Electrical Engineering, Xi'an Jiaotong University, Xi'an

[2] State Grid Shaanxi Electric Power Company, Xi'an

来源：

Dianli Xitong Zidonghua/Automation of Electric Power Systems | 2021年 / 45卷 / 24期

基金：

中国国家自然科学基金;

关键词：

Active distribution network; Distributed generator; Reactive power optimization; Second-order cone relaxation; Three-phase unbalanced distribution system;

D O I：

10.7500/AEPS20210110002

中图分类号：

学科分类号：

摘要：

The nonconvex and nonlinear property of the reactive power optimization for the three-phase unbalanced active distribution network brings certain challenges to the global optimization solution. The traditional method uses a second-order cone relaxation method to convexity the original nonconvex optimization model, so as to achieve an effective search for the global optimal solution. However, the traditional method ignores the phase-to-phase coupling relationship of the three-phase distribution network, which leads to errors between the three-phase unbalanced scenarios and the global optimal solution. Therefore, this paper proposes a second-order cone relaxation model adapting to the reactive power optimization for the three-phase unbalanced active distribution network. By mapping the original optimization models to a high-dimensional space, the rank constraint is relaxed and the Sylvester criterion is used to form a second-order cone constraint between phases. Finally, the effectiveness of the proposed method is verified by simulation analysis of the arithmetic cases of IEEE 33-bus, IEEE 123-bus and 906-bus. © 2021 Automation of Electric Power Systems Press.

引用

页码：81 / 88

页数：7

共 29 条

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