经济负荷分配问题中的约束处理方法研究  

Study of Constraint Handling Methods in Economic Load Dispatch Problem

作　　者：吴擎[1] 张春江 高亮[3] WU Qing;ZHANG Chunjiang;GAO Liang(School of Engineering,Huazhong Agricultural University,Wuhan 430070,China;School of Electrical and Electronic Engineering,Nanyang Technological University,Singapore 639798,Singapore;School of Mechanical Scinece & Engineering,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]华中农业大学工学院,湖北武汉430070 [2]南洋理工大学电机与电子工程学院,新加坡639798 [3]华中科技大学机械科学与工程学院,湖北武汉430074

出　　处：《郑州大学学报（工学版）》2019年第3期36-41,共6页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金资助项目(61603145)

摘　　要：经济负荷分配是电力系统中重要的优化问题,该问题有若干约束,以往文献常采用罚函数法来处理约束,但罚函数法难以设置罚系数.可行性规则和ε约束法是两种高效且常用的约束处理技术,却难以直接应用于经济负荷分配问题.结合问题的特点,提出了一种将负荷平衡等式约束转化为边界不等式约束的方法:利用功率平衡约束,采用近似法和二次方程求根公式求出一个变量,并对该变量增加两个边界不等式约束,然后采用可行性规则或ε约束法来处理约束.实验部分采用两个经典的经济负荷分配问题对算法进行了测试.结果表明,与其他算法相比,该方法能求得更优的解.Economic load dispatch was an important problem in power system.Some constraints existed in this problem.In the literature,penalty function methods were usually used.However,it was difficult to set proper penalty coefficients.Feasibility rules andεconstraint method were two popular constraint handling techniques.However,they were not efficient for economic load dispatch problem.A constraint handling method that could transforms the load balance constraint to two boundary constraints was proposed in this paper.Taking advantage of the load balance constraint,variable was solued by using approximation method and the root of quadratic equation.Therefore,two boundary inequality constraints were added for the variable.Feasibility rules andεconstraint method were used to handle the constraints.Two classic instances were tested in the numerical experiment part.The results showed the proposed algorithm could obtains better solutions than other coared algorithms in the literature.

关 键 词：经济负荷分配 约束处理方法 差分进化算法 

分 类 号：TM71[电气工程—电力系统及自动化]