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Algorithm of inclusion and interchange of variables for capacitors placement

机译：电容器放置变量的包含和交换算法

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This work develops the algorithm of inclusion and interchange of variables to obtaining the sizes, the placements and the control schemes of the capacitors banks that minimize the annual total cost while complying with the maximum and minimum voltage constraints. This is a new and very efficient search method that improves the results of the previous contributions. The method considers all the possible locations for capacitors placement as well as the correct interrelation between sizes of all the capacitors of fixed and switched type. Instead of to place the capacitors on candidate nodes that are previously selected by sensitivity factors and then to select their time-controls, the presented method examines the placement of the capacitors in all available positions (node, control) by evaluating directly the effects of the inclusion and the interchange of variables (capacitors) in the value of the objective function. The fact that the optimization of the placements and the time-controls of the capacitors is coordinated with the selection of their sizes, allows the obtaining of a high quality solutions for the optimization problem. The effectiveness of the proposed method is tested by solving various examples and by comparing the obtained results with several previously published solutions for these examples. (C) 2017 Elsevier B.V. All rights reserved.
机译：这项工作开发了包含和交换变量的算法，以获得电容器组的尺寸，布局和控制方案，从而在满足最大和最小电压约束的同时，将年度总成本降至最低。这是一种新的非常有效的搜索方法，可以改善先前贡献的结果。该方法考虑了电容器放置的所有可能位置以及固定和开关类型的所有电容器的尺寸之间的正确相互关系。提出的方法不是将电容器放置在先前由灵敏度因素选择的候选节点上，然后选择其时间控制，而是通过直接评估电容器的影响来检查电容器在所有可用位置（节点，控制）的放置。在目标函数的值中包含和交换变量（电容器）。电容器的布局和时间控制的优化与电容器尺寸的选择相协调，这一事实可以为优化问题获得高质量的解决方案。通过解决各种示例，并将获得的结果与这些示例的几种先前发布的解决方案进行比较，测试了所提出方法的有效性。 （C）2017 Elsevier B.V.保留所有权利。

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