基于广义岭估计的电力系统谐波状态估计

基于广域测量系统提供的网络部分节点的谐波同步测量数据和网络导纳矩阵建立谐波状态估计模型,通过对模型的求解得出整个网络的谐波状态。对于待求解的数学模型,由于网络中某些元件参数可能导致求解方程病态问题的出现,应用最小二乘估计所得结果存在较大误差,提出应用广义岭估计进行求解。仿真算例结果表明,在系数矩阵病态时,应用广义岭估计进行谐波状态估计的结果较最小二乘法有更高的准确度。

Power system harmonic state estimation based on generalized ridge estimation

The harmonic state estimation model is established based on the synchronous harmonic measurements of some network nodes provided by the wide-area measurement system and the network admittance matrix,and the harmonic state of the whole network is obtained by solving the model.Since the parameters of some components in network may give the cause for the pathological coefficient matrix,resulting in big error of the least squares estimation,the generalized ridge estimation is proposed.Simulative results show that,the harmonic state calculated by the generalized ridge estimation has higher accuracy than by the least squares method when the coefficient matrix is pathological.