引用本文:彭春华,孙惠娟,郭剑峰.求解PMU多目标优化配置问题的非劣排序微分进化算法[J].控制理论与应用,2009,26(10):1075~1080.[点击复制]
Peng Chunhua,SUN Hui-juan,GUO Jian-feng.Non-dominated sorting differential evolution algorithm for multi-objective optimal PMU placement[J].Control Theory and Technology,2009,26(10):1075~1080.[点击复制]
求解PMU多目标优化配置问题的非劣排序微分进化算法
Non-dominated sorting differential evolution algorithm for multi-objective optimal PMU placement
摘要点击 1839  全文点击 1596  投稿时间:2008-09-10  修订日期:2009-01-02
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DOI编号  10.7641/j.issn.1000-8152.2009.10.CCTA080962
  2009,26(10):1075-1080
中文关键词  多目标优化  PMU配置  非劣排序  微分进化  模糊集
英文关键词  multi-objective optimization  PMU placement  non-dominated sorting  differential evolution  fuzzy set
基金项目  
作者单位E-mail
彭春华* 华东交通大学 电气与电子工程学院 chinapch@163.com 
孙惠娟 华东交通大学 电气与电子工程学院  
郭剑峰 华东交通大学 电气与电子工程学院  
中文摘要
      为实现电网完全可观测, 同时保证PMU(同步相量测量单元)的安装数目尽量少, 且系统的N-1量测可靠性尽量高, 笔者提出了一种混合算法, 对电网中PMU进行多目标优化配置. 在此算法中,通过将Pareto非劣排序操作与微分进化算法有机融合, 并对个体的排挤机制和变异策略进行改进以克服进化早熟和搜索不均匀的问题, 设计出了一种新的非劣排序微分进化算法对模型进行求解, 并采用模糊集理论提取出最优折中解. 最后以IEEE39母线系统为例进行了PMU多目标优化配置, 结果表明该方法可简单快速地实现全局多目标寻优, 找到更多更合理的PMU优化配置方案, 能得到准确而完整的Pareto最优前沿.
英文摘要
      For a power grid to be completely observable when employing a minimal number of placed phasor measurement units(PMU) to achieve the highest reliability of the N-1 measurements, we propose a new hybrid algorithm to optimize this PMU multi-objective placement problem. In this algorithm, the Pareto non-dominated sorting mechanism is integrated with the differential evolution algorithm; meanwhile the individual crowding mechanism and the mutation strategy are improved to cope with the premature convergence and the search bias. Moreover, fuzzy set theory is employed to extract the best compromise non-dominated solution. Both the Pareto-optimal solution and the desired Pareto front can be rapidly found by the proposed algorithm. This is demonstrated by the results in the application to the IEEE 39-bus systems.