Assessment of Uncertainty in Reactive Power Compensation Analysis of Distribution Systems

2006 Large Engineering Systems Conference on Power Engineering Pub Date : 2006-07-26 DOI:10.1109/LESCPE.2006.280361

M. Abouelsaad, N. Abdel-Gawad, M. E. El Bahy, M. A. Abou El-Ata, I.M. El Shair

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引用次数: 4

Abstract

Rigorous assessment of uncertainties associated with capacitor installation in distribution systems is the aim of the present paper. Interval mathematics provides a powerful tool for modeling uncertainties. To account for such uncertainties, a heuristic method coupled with interval mathematics is developed with the aim of maximizing a cost saving function. The effects of uncertain inputs within the proposed model are examined for various assumed levels of overall uncertainties. To assess the relative contribution of each uncertain input, an interval sensitivity analysis is carried out. While catering for uncertainties, the proposed method 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-bus radial distribution system

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配电系统无功补偿分析中的不确定性评估

本文的目的是严格评估配电系统中与电容器安装有关的不确定性。区间数学为不确定性建模提供了一个强大的工具。为了解释这种不确定性，开发了一种启发式方法与区间数学相结合，目的是最大化成本节约函数。在提出的模型中，不确定输入的影响在各种假定的总体不确定性水平下进行了检验。为了评估每个不确定输入的相对贡献，进行了区间敏感性分析。在考虑不确定性的同时，所提出的方法为选择要使用的标准电容器尺寸和节省相关成本提供了备选方案。这将使公用事业公司能够在其配电系统中安装无功补偿电容器时做出明智的决定。为了得到区间结果的明确界限，设计了一个过程。采用九母线径向配电系统成功实现了该方法

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2006 Large Engineering Systems Conference on Power Engineering

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