基于指数权函数的抗差状态估计算法

电力系统状态估计是电力调度中心一切高级应用及分析的基础。针对加权最小绝对值法（WLAV）状态估计收敛性较差的问题,提出了指数权函数的状态估计新算法（E-LAV）。该方法采用指数权函数代替WLAV的不连续权函数,从而克服了WLAV方法在权函数间断点收敛性能大大降低的缺点。以4节点系统及IEEE-118系统作为算例的计算结果表明,E-LAV算法在拥有与最小二乘法（WLS）近乎类似的迭代速度的同时,却拥有很强的抗差能力。该算法只需在原有最小二乘法的基础上修改权重矩阵即可,因此拥有良好的工程应用前景。

A Robust State Estimation Method Based on Exponential Weight Functions

State estimation of power system is the basis of all the high level application and analysis for dispatch centers. Against the bad convergence of the WLAV(weighted least absolute value)-based state estimation method, a new robust state estimation method based on exponential weight function (E-LAV) is presented in the paper. This method uses an exponential weight function to replace the discontinues function of WLAV to improve the poor convergence. The results of the sample system of 4-node system and the IEEE 118-node system show that the E-LAV-based state estimation method not only owns the similar convergence as WLS-based method, and also owns a strong robustness. Through modifying the weight matrix of the least squares, the proposed new method has good prospects for application in practical engineering.