网络拓扑结构与供电可靠性的数学关系分析

Mathematical Relation Between Network Topology and Power Supply Reliability

在拓扑结构相似性概念的基础上,提出了网架拓扑与配电网供电可靠性直接相关的理论,解决了可靠性评估中缺乏对网架拓扑合理性分析的问题,同时提升了配电网规划的合理性与针对性。首先将实际配电网进行抽象化处理,用带权邻接矩阵及故障度矩阵综合表示配电网;其次提出了基于拓扑共享度特征指标的相似性函数,借助聚类分析的方法对配电网可靠性进行初步分析与评估;最后提炼出关键支路的故障率水平、网架结构、分布式电源接入位置等3个辅助分析指标,并通过指标的提升实现对配电网规划的优化。在工程实例分析中对实际配电网提出了具体的优化策略,验证了该方法的有效性。

Based on the concept of topology similarity,the theory that reliability of distribution network has a close relationship with topology is presented to avoid the topology being excluded in the reliability evaluation and rationalize the distribution network planning.First,the practical network is abstracted into a topology,and then this topology is presented by adjacency matrix with weight and failure degree matrix.Second,a similarity function is proposed based on vertex/edge sharing(VES).This paper also evaluates the reliability by clustering and extracts key factors to increase the reliability.Besides,branch permutation,network structure and the locations of distributed generators(DGs)are introduced as three indices to guide the distribution network planning.Detailed strategies are provided in the analysis of engineering project to verify the operability of the proposed method.