复小波研究现状及其在电力系统中的应用进展

Complex Wavelet Transform Review and Its Applications in Power System

复小波变换优于实小波之处,除了能额外提供幅度信息、相位信息等简单信息外,还能提供多种复合信息,并且可以克服实小波平移敏感性、方向性差、无相位信息的缺点。由于相位是电力系统信号的重要特征,因此就决定了复小波可以在电力系统信号处理中发挥其提取相位的优势。文中综述了国内外复小波的研究现状,讨论了复小波的特点,对比了近年来各类复小波的性能,分析了复小波在电力系统中的应用。最后,对其在电力系统中的应用进行了展望。

Complex wavelet transform （CWT） has many advantages that ordinary real wavelet can＇t provide. Except for providing simple information about amplitude spectrum and phase spectrum, CWT can provide various combined information. The defects of real wavelets are overcome by CWT, such as shift sensitivity, poor directionality and absence phase information. Phase is important characteristic of power system signals. CWT can extract phase information of power system signals. In this paper, various CWT and their performance in recent years are summarized and compared including their applications in power system. In the end, the prospect of CWT is proposed.