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消除相互影响的基波及谐波相量测量算法
引用本文:梁建英,刘志明.消除相互影响的基波及谐波相量测量算法[J].西南交通大学学报,2016,29(4):736-742.
作者姓名:梁建英  刘志明
作者单位:北京交通大学机械与电子控制工程学院
摘    要:信号中含有谐波时,基波及谐波会相互影响到对两者的准确测量.鉴于此,本文提出能够同时测量基波及谐波,且能够消除两者相互影响的算法.首先,通过拓展泰勒模型,建立含有谐波的动态信号模型;然后,充分利用信号频域信息在同一数据窗中获得多个不同频点处的相量值,进而计算得到表示基波时变性和谐波分量的模型参数;最后,应用理想信号模型以及动车组实测数据来检验算法的性能.研究结果表明:虽然需要增加约5.4%的运算量,但本文算法能成功消除基波及谐波间的相互影响,对基波及谐波测量误差最大减小了21.3%,方差减小了2.7%. 

关 键 词:谐波    相量测量    频域信息    相互影响
收稿时间:2015-09-02

Algorithm for Eliminating Interactions Between Fundamental Wave and Harmonics in Phasor Estimation
LIANG Jianying;LIU Zhiming.Algorithm for Eliminating Interactions Between Fundamental Wave and Harmonics in Phasor Estimation[J].Journal of Southwest Jiaotong University,2016,29(4):736-742.
Authors:LIANG Jianying;LIU Zhiming
Affiliation:LIANG Jianying;LIU Zhiming;School of Mechanical,Electronic and Control Engineering of Beijing Jiaotong University;
Abstract:The fundamental and harmonic component of signal would interact between each other, leading to the measurement deviation. Thus, an algorithm was proposed, which is able to simultaneously measure both fundamental and harmonic waves and eliminate their interactions. First, the Taylor model was used to express the time-varying model of signal containing harmonic component. Several phasor estimations for different frequencies in one data window were obtained using the frequency-domain information; Then these phasor estimations were used to estimate the model parameters denoting time-variation and harmonic component. Tests on ideal signals and electric motor units trial data were conducted, and the results show that, at the cost of increasing about 5.4% of computational cost, the proposed algorithm can effectively eliminate the interactions between fundamental and harmonic components of signal, and the maximum measurement error and variance of the fundamental and harmonics measurement were decreased by 21.3% and 2.7%, respectively. 
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