混合整数无功优化问题的连续优化方法  

A continuous optimization algorithm for mixed integer reactive-power optimization

作　　者：黄伟[1] 刘明波[1] 

机构地区：[1]华南理工大学电力学院,广东广州510640

出　　处：《继电器》2005年第11期5-8,共4页Relay

基　　金：国家自然科学基金项目(50277013);广东省自然科学基金项目(011648)

摘　　要：通过对离散变量进行二进制编码,把每个离散变量表示成若干个取值在0、1之间的连续变量,从而将一个含有离散变量的混合整数无功优化问题转化为一个等价的连续优化问题,再用非线性原对偶内点算法求解。并且,在优化过程中根据二进制变量的权重系数逐步确定离散变量的取值,实现了离散变量在优化过程中的逐次归整。并以IEEE118节点作为试验系统,与常规的离散优化算法作比较,验证了该算法的正确性和有效性。This paper converts all discrete variables into combination of several continuous variables between 0 and 1 by means of binary encoding technology,and hence the mixed integer reactive-power optimization problem with discrete variables is transformed into a equivalent continuous optimization problem,which can be effectively solved by nonlinear primal-dual interior-point algorithm. According to weight coefficient of binary variable,discrete variables can be gradually determined in optimization process,and their discretization can be realized during iteration successively. Furthermore,the numerical example of IEEE 118-bus system is employed to validate correctness and effectiveness of the proposed algorithm,and the result based on this algorithm is compared with that based on conventional discretization algorithm. This project is supported by National Natural Science Foundation of China (No.50277013) and National Natural Science Foundation of Guangdong Province (No.011648).

关 键 词：无功优化 混合整数规划 二进制编码 非线性内点法 

分 类 号：TM714[电气工程—电力系统及自动化]