%0 Journal Article
%T Multi-harmonics Analysis Based on Fundamental Frequency Estimate<br>基于基波频率估计的多谐波分析
%A CHU Zhao-Bi ZHANG Chong-Wei FENG Xiao-YingElectrical Engineering
%A Automation School
%A Hefei University of Technology
%A Hefei
%A <br>储昭碧
%A 张崇巍
%A 冯小英
%J 自动化学报
%D 2009
%I 
%X An adaptive notch filter is presented to analyze integral and fractional harmonics of variable fundamental frequency. The algorithm is composed of a fundamental frequency estimator and a number of 2-dimensional sinusoid trackers, and forms a slow adaptive integral manifold whose existence and stability are proved by Lyapunov stability theorem and averaging method. If filter's frequency parameters are the same as those of the harmonics compositions then it is uniformly asymptotically stable, and the fundamental frequency and harmonics (inter-harmonics) with their amplitudes can be precisely tracked in exponential convergence. The frequency characteristics expression and the characteristic matrix are derived, and the influence of the filter parameters on frequency characteristics is investigated. The validity of the proposed algorithm is verified by simulation and it is pointed out that better noise property can be achieved by decreasing bandwidth and adaptive gain.
%K Adaptive notch filter
%K fundamental frequency estimate
%K stability analysis
%K integral manifolds
%K multi-harmonic analysis<br>自适应陷波滤波器
%K 基波频率估计
%K 稳定性分析
%K 积分流形
%K 多谐波分析
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=A3B0E05B433C025520789810381B8313&yid=DE12191FBD62783C&vid=6209D9E8050195F5&iid=94C357A881DFC066&sid=640CCB6E396307A8&eid=92DA076AF6760FAC&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=0