一种基于高斯罚函数的大规模无功优化离散变量处理方法  

A Large-scale Reactive Power Optimization Method Based on Gaussian Penalty Function With Discrete Control Variables

作　　者：李志刚[1] 吴文传[1] 张伯明[1] 郭庆来[1] 

机构地区：[1]电力系统及发电设备控制和仿真国家重点实验室(清华大学电机系),北京市海淀区100084

出　　处：《中国电机工程学报》2013年第4期68-76,10,共9页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51190105);国家863高技术基金项目(2011AA05A118);教育部新世纪优秀人才支持计划项目(NCET-11-0281)~~

摘　　要：含离散变量的电力系统无功优化属于非线性混合整数规划问题,这类问题目前仍缺乏理论上严格有效的求解方法。提出一种基于高斯罚函数的离散变量连续化的处理策略,用于求解含离散变量的无功优化问题。在对高斯罚函数的性质和参数影响进行分析讨论后,设计出一种结合非线性规划内点法和高斯罚函数参数调整策略的无功优化实用算法。由于高斯罚函数具有连续可微等良好性质,所提方法具有良好的寻优化和计算性能。最后在不同规模的标准系统和实际系统上进行算例测试,以验证算法的鲁棒性和实用性。Reactive power optimization with discrete control variables can be formulated as a mixed-integer nonlinear programming problem,which is a typical NP–hard problem in mathematics.This paper proposed a Gaussian penalty function based approach to handle discrete variables,in which the discrete variables were relaxed to continuous variables.The properties of the optimization model with Gaussian penalty function,as well as how it could be affected by parameters,were discussed.Then a practical algorithm combining nonlinear interior point method and a heuristic parameters tuning strategy was developed to solve the optimization problem.Finally,numerical experiments were taken on different systems,including IEEE standard systems and several real power systems with varying scales,to verify the robustness and practicability of the proposed method.

关 键 词：无功优化 离散变量 高斯罚函数 内点法 

分 类 号：TM73[电气工程—电力系统及自动化]