中文摘要：

在最短路法的基础上提出一种等值递推的可靠性等值计算方法，该方法按负荷点与馈线根节点之间的距离对其进行分层排序，并根据负荷所在节点的层号逐级计算其可靠性指标。在计算每一层负荷点的可靠性时，同时求出该层及以上所有设备的可靠性等值电路并为后续计算所用。另外提出一种计算形式简单的应用于辐射状电网的定雅可比矩阵牛顿潮流法，用于计算传输容量对配电系统可靠性的影响。基于图上因子分解法对辐射状电网的网络拓扑和因子图的拓扑进行了分析，证明2者是相同的，在此基础上开发了与面向支路的前代、回推法具有相似程序实现形式的牛顿潮流算法。该算法易于编程实现，同时保持了传统牛顿法的快速收敛性的优点。算例结果表明文章提出的可靠性评估算法具有较高效率。

英文摘要：

On the basis of minimal path a reliability equivalent calculation with equivalence recursion is proposed. According to distance between load points and root node of feeders, the proposed method performs layer sorting for them, and based on layer-numbers of the nodes where loads locate their reliability indices are stepwise calculated. During the calculation of reliability of load points in each layer, the reliability equivalent circuit of all equipments located in this layer and upper layers is calculated and is used by following calculation procedures. Moreover, a concise Newton power flow calculation method using constant Jacobian matrix that is applied to radial power network is proposed to calculate the impact of transmission capacity on reliability of distribution system. Based on factorization method the network topology of radial power network and the topology of factor graph are analyzed and it is proved that they two topologies are the same, on this basis a Newton power flow algorithm that possesses similar program to branch-oriented forward/backward sweep algorithm is developed. This algorithm is easy to be progranmaed and implemented and converges as fast as traditional Newton method. Case study results show that the proposed reliability evaluation algorithm is efficient.