Analytical methods for evaluating the reliability of simple and radial distribution networks have been well established. Since these analytical methods cannot consider post-fault load transfer between feeders, the reliability indices are significantly underestimated for mesh-constructed distribution networks. To accommodate various application scenarios, Monte-Carlo simulations are widely used for complex distribution networks and heavy computation burden is involved. In this paper, we propose a novel linear programming model which includes precisely assessing reliability and considers post-fault network reconfiguration strategies involving operational constraints. Moreover, this model also can formulate the influences of demand variations, uncertainty of distributed generations and protection failures on the reliability indices. Numerical simulations show that the proposed model yields the same results as the simulation-based algorithm. Specifically, the system average interruption duration indices are reduced when considering post-fault network reconfiguration strategies in all tested systems. Moreover, the proposed model is suitable for inclusion in reliability-constrained operational and planning optimization models for power distribution systems.

中文翻译：

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考虑故障后网络重构的复杂配电网分析可靠性评估方法

用于评估简单和径向配电网络可靠性的分析方法已经很好地建立起来。由于这些分析方法不能考虑馈线之间的故障后负载转移，因此网格构造的配电网络的可靠性指标被大大低估了。为了适应各种应用场景，蒙特卡洛模拟被广泛用于复杂的配电网络，并且涉及大量的计算负担。在本文中，我们提出了一种新颖的线性规划模型，该模型包括精确评估可靠性并考虑涉及操作约束的故障后网络重构策略。此外，该模型还可以表述需求变化、分布式电源的不确定性和保护故障对可靠性指标的影响。数值模拟表明，所提出的模型产生与基于模拟的算法相同的结果。具体而言，在所有测试系统中考虑故障后网络重新配置策略时，系统平均中断持续时间指标会降低。此外，所提出的模型适合包含在配电系统的可靠性约束操作和规划优化模型中。