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基于奇异值总体最小二乘法的间谐波估计算法
引用本文:沈睿佼,杨洪耕,吴昊.基于奇异值总体最小二乘法的间谐波估计算法[J].电网技术,2006,30(23):45-49.
作者姓名:沈睿佼  杨洪耕  吴昊
作者单位:四川大学,电气信息学院,四川省,成都市,610065
摘    要:通过分析噪声误差,提出采用奇异值总体最小二乘(singular value decomposition total least squares,SVDTLS)算法进行间谐波频率估计,即同时考虑矩阵方程两边的噪声干扰,采用SVDTLS算法求解该情况下的最小范数解,通过对增广矩阵进行奇异值分解(singular value decomposition,SVD),采用简单实用的与信噪比相关的主奇异值个数确定方法对分解的右奇异矩阵进行存储计算,得到了较精确的间谐波频率估计结果。仿真结果表明,该算法具有良好的抗噪性能和数值稳定性,在低信噪比情况下可准确提取信号的频率。

关 键 词:间谐波  奇异值分解(SVD)  总体最小二乘法  增广矩阵  主奇异值
文章编号:1000-3673(2006)23-0045-05
收稿时间:2006-04-19
修稿时间:2006年4月19日

An Algorithm of Interharmonic Estimation Based on Singular Value Decomposition Total Least Square
SHEN Rui-jiao,YANG Hong-geng,WU Hao.An Algorithm of Interharmonic Estimation Based on Singular Value Decomposition Total Least Square[J].Power System Technology,2006,30(23):45-49.
Authors:SHEN Rui-jiao  YANG Hong-geng  WU Hao
Affiliation:School of Electrical Engineering &; Information,Sichuan University,Chengdu 610065,Sichuan Province,China
Abstract:By means of analyzing the noise error, it is proposed to use an algorithm of singular value decomposition total least squares (SVDTLS) to conduct the interharmonics estimation, namely taking the noise interference at both sides of the matrix equation into account simultaneously and solving the minimum norm problem by least square method under such condition. In the proposed algorithm by means of singular value decomposition (SVD) of a new augmented matrix and by use of a simple and practical method to determine the number of principal singular value related to signal to noise ratio (SNR), the storage calculation of right singular matrix is performed, thus a more accurate frequency estimation of interharmonics can be obtained. Simulation results show that the proposed algorithm possesses good anti-interference performance and numerical stability, the signal frequency can be accurately extracted under low SNR.
Keywords:interharmonics  singular value decomposition (SVD)  total least squares  augmented matrix  principal singular value
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