Abstract The traditional service restoration methods are experiencing a significant challenge because the performance of such methods is often dominated by very large processing time. Therefore, it is important to develop a fast and an accurate method to solve a complex non-linear optimization problem representing the service restoration problem in a distribution system. In this paper, due to a binary nature of the service restoration problem, the Binary Water Cycle Algorithm (BWCA) is proposed to reduce out-of-service loads and system losses considering operational constraints, the radial topology of the distribution systems, and the influence of the presence of distributed generations (DGs) on the service restoration problem. The proposed method is a modified form of the Water Cycle Algorithm (WCA) that is mainly used for discrete and continuous optimization problems. The effectiveness of the proposed method is validated by comparing with other well-known meta-heuristic algorithms using a modified IEEE 33-node radial distribution system. The simulation results demonstrate the robustness of this method to provide a precise decision with short convergence time for solving service restoration problems.

中文翻译：

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考虑分布式发电的配电系统服务恢复问题的二元水循环算法

摘要 传统的服务恢复方法正面临着重大挑战，因为这种方法的性能往往受到非常大的处理时间的支配。因此，重要的是开发一种快速且准确的方法来解决代表配电系统中服务恢复问题的复杂非线性优化问题。在本文中，由于服务恢复问题的二元性质，考虑到运行约束、配电系统的径向拓扑结构和分布式发电 (DG) 的存在对服务恢复问题的影响。所提出的方法是水循环算法（WCA）的改进形式，主要用于离散和连续优化问题。通过与使用修改的 IEEE 33 节点径向分布系统的其他众所周知的元启发式算法进行比较，验证了所提出方法的有效性。仿真结果证明了该方法的鲁棒性，可以为解决服务恢复问题提供具有短收敛时间的精确决策。