Harmonics filtering and detection of disturbances using wavelets

A. F. Alves, P. D. da Costa, J.R.P. Fraga, F.A.C. Pires
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Abstract

Traditional mathematical tools, like Fourier analysis, have proven to be efficient when analyzing steady-state distortions; however, the growing utilization of electronically controlled loads and the generation of a new dynamic in industrial environments signals have suggested the need of a powerful tool to perform the analysis of nonstationary distortions, overcoming limitations of frequency techniques. Wavelet theory provides a new approach to harmonic analysis, focusing the decomposition of a signal into nonsinusoidal components, which are translated and scaled in time, generating a time-frequency basis. The correct choice of the waveshape to be used in decomposition is very important and discussed in this work, a brief theoretical introduction on wavelet transform is presented and some cases (practical and simulated) are discussed. Distortions commonly found in industrial environments, such as the current waveform of a switched-mode power supply and the input phase voltage waveform of motor fed by an inverter are analyzed using wavelet theory. Applications such as extracting the fundamental frequency of a nonsinusoidal current signal, or using the ability of compact representation to detect nonrepetitive disturbances are presented.
谐波滤波与小波干扰检测
传统的数学工具,如傅里叶分析,在分析稳态扭曲时已被证明是有效的;然而,越来越多地使用电子控制负载和在工业环境中产生新的动态信号表明,需要一种强大的工具来分析非平稳畸变,克服频率技术的限制。小波理论为谐波分析提供了一种新的方法,将信号分解为非正弦分量,这些分量在时间上被转换和缩放,产生时频基。正确选择用于分解的波形是非常重要的,本文对小波变换进行了简要的理论介绍,并讨论了一些实际和模拟的例子。利用小波理论对工业环境中常见的开关电源电流波形和逆变器馈电电机输入相电压波形等畸变进行了分析。应用,如提取非正弦电流信号的基频,或使用紧凑的表示能力,以检测非重复的干扰提出。
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