基于节点支路链矩阵的配电网动态拓扑分析方法研究与应用*

针对配电网中现有拓扑分析方法运算复杂、速度较慢、重用性较差，以及当配网规模扩大或开关状态改变时，不易及时地反映网络拓扑信息等问题，提出基于支路链矩阵的配电网动态拓扑分析方法。在系统正常运行时，采用特殊节点法将配电网划分多个支路链子图，以节点-支路链矩阵描述配网拓扑结构，借助邻接矩阵标记法与深度优先搜索原则结合完成更新后的拓扑网络的电气岛连通性分析。当支路动态变化时，根据支路属性利用方向深度优先搜索法快速地修改网络拓扑结构，局部更新节点-支路链矩阵。多个实例结果表明该方法可适应多种配电网接线结构，搜索过程中节点数量明显减少，降低了算法复杂度，提高了拓扑分析速度，为不同配网结构动态分析提供了一种有效的方法。

Application of distribution system dynamic topology analysis based on node branch chain matrix

In view of the disadvantages of computing complexity, slow calculation rate and poor reusability in topological analysis methods. And while the scale of distribution system is extended or the state of switchers changed, it is not easy to reflect the network topological dynamic rapidly. This paper proposes a new high-speed dynamic topological analysis method of distribution system. Under the normal operation, the distribution system will be divided into multiple branch chain according to the characters of the nodes and established the node branch chain matrix to describe network structure. The static electrical islands of distribution system are quickly complete analysis by using the adjacency matrix notation. If the network structure is dynamic changed, the topological structure and the node branch chain matrix of distribution system is local modified by using direction depth-first search method. Numeric experimental results show that the proposed method reduces significantly the node number in the process of search. It has low computational complexity and improves the dynamic topological analysis speed of distribution system. It provides an effective method for dynamic analysis of different distribution network structures.