Load Restoration Scheme Optimization for Power System with Wind Power Based on Convex Hull Theory

被引:0
|
作者
Yi K. [1 ,2 ]
Sun L. [1 ,2 ]
Ding J. [3 ]
Ding M. [1 ,2 ]
机构
[1] School of Electrical Engineering and Automation, Hefei University of Technology, Hefei
[2] Anhui Province Key Laboratory of Renewable Energy Utilization and Energy Saving (Hefei University of Technology, Hefei
[3] State Grid Nanchang Power Supply Company, Nanchang
来源
Dianli Xitong Zidonghua/Automation of Electric Power Systems | 2024年 / 48卷 / 05期
基金
中国国家自然科学基金;
关键词
convex hull theory; load restoration; mixed-integer second-order cone programming; power flow; power system; rectangular coordinates; wind power;
D O I
10.7500/AEPS20230828001
中图分类号
学科分类号
摘要
After a blackout, a reasonable load restoration strategy is of great significance to speed up the power system restoration and reduce the outage losses. To address the low computational efficiency of the load restoration models due to the non-convexity of standard alternating current (AC) power flow equations, an optimization method of the load restoration scheme for power systems with wind power based on the convex hull theory is proposed. Firstly, the convex hull theory and the method for formulating the convex hull of nonlinear functions are briefly introduced. Secondly, to deal with the uncertainty of wind power outputs, the conditional value-at-risk (CVaR) theory is employed to describe the risks brought by the wind power fluctuations. Then, a second-order cone optimization model of the load restoration for the power system based on the convex hull theory in the rectangular coordinate system is proposed, in which the nonlinear term of AC power flow equations is expressed by convex hulls. To solve the problem that parameters of convex hulls cannot be accurately identified, a parameter optimization method based on the iterative update is proposed to reduce the relaxation errors introduced by the convex hull. The proposed model is a mixed-integer second-order cone programming one that can be efficiently solved by commercial solvers. Finally, the effectiveness of the proposed model is verified by employing the IEEE 39-bus system and the modified Guangdong power system of China. © 2024 Automation of Electric Power Systems Press. All rights reserved.
引用
收藏
页码:77 / 87
页数:10
相关论文
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