A polynomial-time exact algorithm for the sectionalizing switch allocation problem

IF 3.3 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

Electric Power Systems Research Pub Date : 2025-07-28 DOI:10.1016/j.epsr.2025.112016

Fábio Luiz Usberti , José Federico Vizcaino González , Laura Silva de Assis , Celso Cavellucci

引用次数: 0

Abstract

The allocation of switches in power distribution networks is a critical combinatorial optimization problem concerning reliability optimization. In this work, we consider a set of sectionalizing switches and a radial network, for which the objective is to find the best edges to allocate the switches to minimize the expected energy not supplied. An open question in the literature concerns the computational complexity of this fundamental problem, specifically, whether it is NP-hard. In this paper, we show that it is in fact tractable by presenting the first exact polynomial-time algorithm, based on dynamic programming. We compare our approach with previous state-of-the-art methodologies. Extensive computational experiments show that the proposed dynamic programming scales much better than the previous approach. Large instances, with more than three thousand nodes, are solved for the first time for any number of switches.

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分段开关分配问题的多项式时间精确算法

配电网中交换机的配置是一个涉及可靠性优化的关键组合优化问题。在这项工作中，我们考虑了一组分段开关和一个径向网络，其目标是找到分配开关的最佳边缘，以最小化预期未提供的能量。文献中的一个开放问题是关于这个基本问题的计算复杂性，特别是它是否是np困难的。在本文中，我们通过提出第一个基于动态规划的精确多项式时间算法来证明它实际上是可处理的。我们将我们的方法与以前最先进的方法进行比较。大量的计算实验表明，所提出的动态规划方法比以前的方法具有更好的可扩展性。拥有超过3000个节点的大型实例首次解决了任意数量交换机的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electric Power Systems Research 工程技术-工程：电子与电气

CiteScore

7.50

自引率

17.90%

发文量

963

审稿时长

3.8 months

期刊介绍： Electric Power Systems Research is an international medium for the publication of original papers concerned with the generation, transmission, distribution and utilization of electrical energy. The journal aims at presenting important results of work in this field, whether in the form of applied research, development of new procedures or components, orginal application of existing knowledge or new designapproaches. The scope of Electric Power Systems Research is broad, encompassing all aspects of electric power systems. The following list of topics is not intended to be exhaustive, but rather to indicate topics that fall within the journal purview. • Generation techniques ranging from advances in conventional electromechanical methods, through nuclear power generation, to renewable energy generation. • Transmission, spanning the broad area from UHV (ac and dc) to network operation and protection, line routing and design. • Substation work: equipment design, protection and control systems. • Distribution techniques, equipment development, and smart grids. • The utilization area from energy efficiency to distributed load levelling techniques. • Systems studies including control techniques, planning, optimization methods, stability, security assessment and insulation coordination.