带精英策略的快速非支配排序遗传算法在多目标无功优化中的应用.pdf

2007 年 12 月 电 工 技 术 学 报 Vol.22 No.12 第 22 卷第 12 期 TRANSACTIONS OF CHINA ELECTROTECHNICAL SOCIETY Dec. 2007 带精英策略的快速非支配排序遗传算法 在多目标无功优化中的应用 冯士刚 艾 芊 （上海交通大学电气工程系 上海 200030 ） 摘要 带精英策略的快速非支配排序遗传算法（NSGA- Ⅱ）是一种新型的多目标遗传算法， 该算法求得的Pareto 最优解分布均匀，收敛性和鲁棒性好。本文分析了当前多目标无功优化算法 存在的缺陷，提出将NSGA- Ⅱ应用于多目标无功优化，该算法一次运行可以获得多个Pareto 最优 解，决策者可根据系统的实际要求选择最终的满意解，为各目标函数之间的权衡分析提供了有效 的工具。算例结果表明NSGA- Ⅱ算法具有良好的优化效果，是一种求解多目标无功优化问题的新 思路。 关键词：带精英策略的快速非支配排序遗传算法 Pareto 最优解 多目标无功优化 中图分类号：TM714 Application of Fast and Elitist Non-Dominated Sorting Generic Algorithm in Multi-Objective Reactive Power Optimization Feng Shigang Ai Qian （Shanghai Jiaotong University Shanghai 200030 China ） Abstract Fast and elitist non-dominated sorting generic algorithm (NSGA- Ⅱ) is a new multi-objective generic algorithm. It can obtain uniformly distributed Pareto-optimal solutions and has good convergence and excellent robustness. In this paper, firstly the defects of current algorithms are analyzed, then NSGA- Ⅱis applied to multi-objective reactive power optimization. Each run of the algorithm can produce many Pareto-optimal solutions. The satisfactory solution can be selected by decision-maker according to the systems requirement, which provides an effective tool for measuring the performance of different objective functions. The simulation results show that NSGA-II can obtain better optimum solutions. It should be a new method for multi-objective reactive power optimization in power systems. Keywords ：NSGA- Ⅱ, Pareto-optimal solutions, multi-objective reactive power optimization 多约束的混合非线性