In case of mathematical programming problems with conflicting criteria, the Pareto set is a useful tool for a decision maker. Based on the geometric properties of the Pareto set for a bicriteria linear programming pro...In case of mathematical programming problems with conflicting criteria, the Pareto set is a useful tool for a decision maker. Based on the geometric properties of the Pareto set for a bicriteria linear programming problem, we present a simple and fast method to compute this set in the criterion space using only an elementary linear program solver. We illustrate the method by solving the pig diet formulation problem which takes into account not only the cost of the diet but also nitrogen or phosphorus excretions.展开更多
针对高温超导故障限流器(high temperature superconductor-fault current limiter,HTS-FCL)的全网优化配置问题,提出了一种基于免疫算法的高温超导故障限流器Pareto多目标优化配置新方法。该方法综合考虑了限流器的成本和限流效果这2...针对高温超导故障限流器(high temperature superconductor-fault current limiter,HTS-FCL)的全网优化配置问题,提出了一种基于免疫算法的高温超导故障限流器Pareto多目标优化配置新方法。该方法综合考虑了限流器的成本和限流效果这2个优化目标。首先介绍了HTS-FCL的基本结构和原理,分析了安装高温超导故障限流器对原系统自阻抗的影响,提出了一种基于短路电流变化率的灵敏度计算方法,该方法可以缩小搜索空间,提高算法效率。然后分别建立了限流器成本评价子函数、限流效果评价子函数和多目标评价函数,制定了基于免疫算法的多目标Pareto优化算法流程,并在传统免疫算法的基础上提出了一种改进型的等成本倒位算子,通过仿真验证表明该算子较常规的免疫算法,能更好地收敛到最优解。最后以IEEE 39标准节点系统为例,实现了HTS-FCL的全网优化配置,验证了新方法的有效性,并求得了在综合考虑限流器成本和限流效果下的Pareto最优解集,设计者可以根据自己的意愿和实际情况在所求得的Pareto最优解集中选择合适的最优方案。展开更多
文摘In case of mathematical programming problems with conflicting criteria, the Pareto set is a useful tool for a decision maker. Based on the geometric properties of the Pareto set for a bicriteria linear programming problem, we present a simple and fast method to compute this set in the criterion space using only an elementary linear program solver. We illustrate the method by solving the pig diet formulation problem which takes into account not only the cost of the diet but also nitrogen or phosphorus excretions.
基金Supported by the National Natural Science Foundation of China under Grant Nos.60473037,60483081,40275034,60204001,60133010(国家自然科学基金)the China Postdoctoral Science Foundation under Grant No.2003034505(中国博士后科学基金)the open research program of the Geological Processes and Mineral Resources(GPMR),China University of Geosciences under Grant No.GPMR200618(中国地质大学地质过程与矿产资源国家重点实验室开放课题)
文摘针对高温超导故障限流器(high temperature superconductor-fault current limiter,HTS-FCL)的全网优化配置问题,提出了一种基于免疫算法的高温超导故障限流器Pareto多目标优化配置新方法。该方法综合考虑了限流器的成本和限流效果这2个优化目标。首先介绍了HTS-FCL的基本结构和原理,分析了安装高温超导故障限流器对原系统自阻抗的影响,提出了一种基于短路电流变化率的灵敏度计算方法,该方法可以缩小搜索空间,提高算法效率。然后分别建立了限流器成本评价子函数、限流效果评价子函数和多目标评价函数,制定了基于免疫算法的多目标Pareto优化算法流程,并在传统免疫算法的基础上提出了一种改进型的等成本倒位算子,通过仿真验证表明该算子较常规的免疫算法,能更好地收敛到最优解。最后以IEEE 39标准节点系统为例,实现了HTS-FCL的全网优化配置,验证了新方法的有效性,并求得了在综合考虑限流器成本和限流效果下的Pareto最优解集,设计者可以根据自己的意愿和实际情况在所求得的Pareto最优解集中选择合适的最优方案。