基于关联矩阵标记法与回路矩阵的电网拓扑分析

针对电力系统对网络拓扑分析实时性与准确性的需求,提出一种基于关联矩阵标记法和回路矩阵的网络拓扑分析新方法。在系统正常运行情况下,利用关联矩阵标记法,判断图的连通性,同时标记网络的树支与连支,完成电网静态电气岛分析;当网络结构发生变化后,借助回路矩阵,判断变化支路的属性。在此基础上,利用破圈法和半径搜索法,修改局部网络拓扑及更新回路矩阵。IEEE 39节点和IEEE 118节点系统验证结果均表明该方法计算量小,更新速度快,可适用于多种网络变结构的情况。

Power Network Topological Analysis Based on Incidence Matrix Notation Method and Loop Matrix

In view of the demand on instantaneity and accuracy in power network topology analysis, this paper puts forward a new method of network topological analysis based on the incidence matrix notation method and the loop matrix. Under normal circumstances, the initial distribution of electrical islands is determined by using the incidence matrix notation method. Meanwhile, trees and link lines are marked. When the network topology is changed, the attributes of the changed branch are judged through the loop matrix. Then, part of the network topology is modified and the loop matrix is updated using the broken circle method and the radius search method. Finally, results of the IEEE 39-bus and IEEE 118-bus systems have both verified that the proposed method is of low computational complexity and is capable of being applied to variable network structures.