图论在电力系统状态估计中的应用

Graph Theory Applied in Power System State Estimation

主要研究了对给定观测矩阵Ｈ，量测图Ｇｍ的形成；要使系统可观测，在量测图Ｇｍ中必存在一棵树，且每一个树支对应不同的量测。用图论的方法提出了不良数据的可检测性和可辨识性的判据，以及不良数据检测判据，为检测与辨识相关多不良数据的算法提供了更有利的依据。

The construction of measurement graph Gm for a given observation matrix H in power sysem state estimation is discussed. If there exists a tree in Gm with branches corresponding to different measurements, then the system is observalbe. By the application of graph theory, the criteria for bad data detectability and identifiability are presented, so do with the criterion of bad data detection. Simpler algorithms for bad data test can be developed.