Capacitor allocation of distribution network is a complex and high‐dimensional optimization problem. As a result, most often, optimization techniques are entangled in local optima. To overcome this problem, this article presents a new bi‐level framework for capacitor allocation: (a) at the first level, a new analytical index, named total loss index (TLI), has been proposed to identify high potential buses; and (b), at the second level, a metaheuristic optimization, crow search algorithm (CSA), has been applied for finding the best solution among the candidate solutions. TLI, which depends on the network topology, considers the sensitivity of the network losses to reactive power injection. The proposed framework (TLI + CSA) has been tested on 33‐bus and 69‐bus radial distribution networks. It is observed that reduction of search space will increase the probability of finding global solution so that (a) on 33‐bus network, when three high potential buses are identified at the first level, the optimizer can find the global solution at the second level and (b) on 69‐bus network, when six high potential buses are identified by TLI, CSA can find the global solution. It can be drawn that using the proposed TLI + CSA leads to finding more accurate results than the other methodologies.

中文翻译：

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解决二级框架中配电网电容器放置问题的新分析指标：总损耗指标

配电网络的电容器分配是一个复杂的高维优化问题。结果，最常见的是，优化技术纠缠在局部最优中。为了克服这个问题，本文提出了一种新的二级电容器分配框架：（a）在第一级，提出了一种新的分析指标，称为总损耗指数（TLI），以识别高电势母线；（b）在第二级，已将元启发式优化，乌鸦搜索算法（CSA）用于在候选解决方案中寻找最佳解决方案。TLI取决于网络拓扑，它考虑了网络损耗对无功功率注入的敏感性。提议的框架（TLI + CSA）已在33总线和69总线的径向配电网络上进行了测试。可以发现，减少搜索空间将增加找到全局解决方案的可能性，因此（a）在33总线网络上，当在第一级确定了三个高电势总线时，优化器可以在第二级找到全局解决方案（b）在69总线网络上，当TLI确定了六条高潜力总线时，CSA可以找到全局解决方案。可以得出的结论是，使用建议的TLI + CSA可以找到比其他方法更准确的结果。