An analytical calculation method for the reliability sensitivity indexes of distribution systems is proposed to explicitly quantify the impact of various influence factors on system reliability. Firstly, the analytical calculation formulas for the reliability indexes of distribution systems are derived based on the fault incidence matrix (FIM). Secondly, the factors that affect system reliability are divided into two categories: quantifiable parameter factors and non-quantifiable network structure factors. The sensitivity indexes for the quantifiable parameter factors are derived using the direct partial derivation of the reliability calculation formulas. The sensitivity indexes for the non-quantifiable network structure factors are derived using the transformation of FIMs. Finally, the accuracy and efficiency of the proposed sensitivity calculation method are verified by applying them to an IEEE 6-bus RBTS system. This paper sums up the factors that influence system reliability in detail and gives the explicit analytical calculation method for the sensitivity of each factor. Repetitive calculation of the reliability index can be avoided during the sensitivity analysis. The bottleneck that affects the reliability level of distribution systems can be identified efficiently, and valuable information and guidance can be provided to enhance the reliability of distribution systems.

中文翻译：

---

基于故障关联度矩阵的配电系统可靠性灵敏度指标分析计算方法

提出了一种配电系统可靠性灵敏度指标的解析计算方法，以明确量化各种影响因素对系统可靠性的影响。首先，基于故障关联矩阵（FIM），推导了配电系统可靠性指标的解析计算公式。其次，影响系统可靠性的因素分为两类：可量化的参数因素和不可量化的网络结构因素。可量化参数因子的敏感度指标是使用可靠性计算公式的直接部分推导得出的。使用FIM的转换得出不可量化的网络结构因子的敏感度指标。最后，通过将其应用于IEEE 6总线RBTS系统，验证了所提出的灵敏度计算方法的准确性和效率。本文详细总结了影响系统可靠性的因素，并针对每种因素的灵敏度给出了明确的解析计算方法。在敏感性分析过程中，可以避免重复计算可靠性指标。可以有效地识别影响配电系统可靠性水平的瓶颈，并且可以提供有价值的信息和指导以增强配电系统的可靠性。在敏感性分析过程中，可以避免重复计算可靠性指标。可以有效地识别影响配电系统可靠性水平的瓶颈，并且可以提供有价值的信息和指导以增强配电系统的可靠性。在敏感性分析过程中，可以避免重复计算可靠性指标。可以有效地识别影响配电系统可靠性水平的瓶颈，并且可以提供有价值的信息和指导以增强配电系统的可靠性。