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Capacitor allocation and sizing in distribution feeders using interval mathematics

机译:使用间隔数学分配馈线的电容器分配和尺寸

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The paper presents the application of Interval Mathematics as a new method to, rigorously, address uncertainties associated with capacitor installation in distribution feeders. While several methods exist to determine optimal capacitor sizes and locations in distribution feeders, these methods usually require data which may be uncertain in nature. To account for such uncertainties a heuristic method coupled with interval mathematics is developed with the aim of maximizing the cost saving by placing single node-located capacitors at a selected sequence of nodes. The method determines a set of nodes to be compensated with their associated interval capacitor sizes; followed by a local search loop, at any one node, to determine the final standard capacitor size at this node. While catering for uncertainties, the method also offers utilities with alternatives for selecting the standard capacitor sizes to be used and the associated costs to be saved. This should enable utilities to make informed decisions regarding installing capacitors for reactive power compensation in their distribution systems. A procedure is devised in order to produce sharp bounds of the interval outcomes. Successful implementation of the proposed method is described using a nine buses example distribution feeder.
机译:本文介绍了间隔数学应用于新方法,严格地解决了与配电馈线中电容器安装相关的不确定性。虽然存在几种方法来确定分配馈线中的最佳电容器尺寸和位置,但这些方法通常需要在自然界中不确定的数据。为了解释这种不确定性,通过将单个节点位的节点序列放置单个节点位电容器来最大化成本节省来实现与间隔数学耦合的启发式方法。该方法确定要用其相关的间隔电容尺寸进行补偿的一组节点;其次是在任何一个节点处的本地搜索循环,以确定此节点处的最终标准电容大小。在迎合不确定因素的同时,该方法还提供了用于选择要使用的标准电容尺寸的替代品以及要保存的相关成本的替代品。这应该使实用程序能够在其分配系统中安装有关安装电容器的电容器的明智决策。设计了一个程序,以产生间隔结果的尖锐范围。使用九个总线示例性分配馈线描述所提出的方法的成功实现。

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