基于广域测量和抗差最小二乘法的电力系统谐波状态估计.pdf

文档介绍：第 40 卷第 8 期电力系统保护与控制
2012年4月 16日 Power System Protection and Control Apr. 16, 2012
基于广域测量和抗差最小二乘法的电力系统谐波状态估计
牛胜锁 1,2,刘颖 1,梁志瑞 1,张建华 2,苏海锋 1
((华北电力大学),河北保定 071003;
(华北电力大学),北京 102206)

摘要:介绍了谐波状态估计数学模型及常用的最小二乘求解算法。针对最小二乘法抗粗差能力较差的缺点,提出利用抗差最
小二乘法进行谐波状态估计。抗差最小二乘法通过等价权将抗差估计原理与最小二乘形式有机结合起来,可有效解决最小二
乘法不抗御粗差的问题。利用 Matlab 搭建了配电网的仿真模型,获得了研究所需的谐波同步测量数据,对测量数据加入含
有粗差的正态分布误差,用传统最小二乘法和抗差最小二乘法进行谐波状态估计。计算结果表明了在测量数据含有粗差的情
况下,用抗差最小二乘法进行谐波状态估计其结果精度优于最小二乘法。
关键词:广域测量;谐波状态估计;Huber 法
Power system harmonic state estimation based on generalized measurement and robust least squares
NIU Sheng-suo1, 2, LIU Ying1, LIANG Zhi-rui1, ZHANG Jian-hua2, SU Hai-feng1
(1. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (North China Electric Power
University),Baoding 071003,China;2. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources
(North China Electric Power University),Beijing 102206, China)
Abstract: The mathematical model of harmonic state estimation mon least squares algorithm are introduced. As for the
ing of least squares that it is less capable of resisting gross error,this paper proposes that the robust least squares is used for
harmonic state estimation. Robust least squares bines robust estimation principle with least squares by equivalent weight