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Subspace-Least Mean Square Method for Accurate Harmonic and Interharmonic Measurement in Power Systems

机译:电力系统谐波和间谐波精确测量的子空间最小均方方法

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摘要

A high-resolution method for harmonic and interharmonic measurements in power systems is proposed based on the concepts of subspace and least mean square. A subspace function is constructed by using the noise eigenvectors of the autocorrelation matrix of the test signal. The harmonic and interharmonic frequencies of the signal are derived by finding the zeros of the subspace function. A least mean square approach is introduced to compute the amplitudes and phase angles of harmonic and interharmonic components based on the computed frequencies and time-domain measurements of the signal. The proposed method is compared with some of the recently proposed harmonic/interharmonic analysis methods, including discrete Fourier transform (DFT), windowed interpolation DFT, Prony, iterative DFT, and min-norm methods. The effects of noise, fundamental frequency deviation, and subharmonics have been considered. Numerical results show that the proposed method can perform accurate harmonic/interharmonic measurements for power system signals.
机译:基于子空间和最小均方的概念,提出了一种用于电力系统谐波和间谐波测量的高分辨率方法。通过使用测试信号的自相关矩阵的噪声特征向量来构建子空间函数。通过找到子空间函数的零来导出信号的谐波和间谐波频率。引入最小均方方法,根据计算出的信号频率和时域测量值,计算谐波分量和间谐波分量的幅度和相位角。将该方法与最近提出的一些谐波/间谐波分析方法进行了比较,包括离散傅里叶变换(DFT),窗口插值DFT,Prony,迭代DFT和最小范数方法。已经考虑了噪声,基频偏差和次谐波的影响。数值结果表明,该方法可以对电力系统信号进行准确的谐波/间谐波测量。

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