基于遗传算法的PMU配置对谐波状态估计质量影响的研究

Study on the effect of PMU allocation on the quality of harmonic state estimation

谐波状态估计的质量是PMU配置数量和安装地点的函数。研究PMU配置对谐波状态估计质量的影响,建立量测方程,并应用最小二乘法求解谐波状态估计的量测方程。建立了综合考虑量测配置PMU投资和状态估计误差的加权数学模型,并应用遗传算法求解加权数学模型,通过对最优代PMU配置方案的分析,给出了不同数目和位置的PMU对谐波状态估计误差和系统可观性的影响规律。利用Matlab搭建了配电网的仿真模型,获得了研究所需的原始数据,仿真算例验证了算法的有效性。

The quality of harmonic state estimation is a function of the number and the placement of PMU.The effect of PMU allocation on the quality of harmonic state estimation is researched.First,the measurement equation is established for harmonic state estimation,which is solved using Least Square Method.Second,considering the investment of PMU allocation and the error of harmonic state estimation comprehensively,a weighted mathematical model is established.By analyzing the PMU allocation of the best generation,the influence rule is given,which the number and the placement of PMU has influence on the error and the objectiviteit of harmonic state estimation.At last,a distribution network model is established in MATLAB,by which the initial data are obtained.Example analysis shows the validity of the algorithm.