电力系统状态估计的快速正交变换算法

A Fast Orthgonal Transformation Algorithm for Power System State Estimation

本文分析了电力系统加权最小二乘状态估计(Weighted Least Square=WLS)法方程算法潜在的数值稳定性问题,提出了用正交变换(二乘Givens变换)解WLS状态估计的快速正交变换算法。给出了结点与量测相结合的编号优化方法,以充分利用原问题的稀疏性降低计算量。实际例题表明,快速正交变换算法比法方程算法更加快速和可靠。

In this paper, after analysing the normal equation method for weighted least square (WLS) state estimation in power system and pointing out the potential problem of this method in numerical stability, a fast orthogonal transformation algorithm which uses fast Givens transformation to solve WLS state estimation is presented. An ordering scheme for buses and measurements is presented to make full use of the sparsity and reduce the computational burden. The algrithm has been tested on a practical system and its good performance in spead and numerical robustness is confirmed.