非线性相位带限正交小波及其在电力系统故障检测中的应用

Non linear Phase Band limited Orthogonal Wavelets and Their Application to Fault Detections in Power System

阐述了非线性相位带限正交小波在小波理论与工程实用方面的重要意义，介绍了作者提出的非线性相位带限正交小波－混合正交小波基的优点与构造方法，并以检测电力系统典型故障波形为例，证实了这种小波相对于常用的时域紧支小波的优越之处。

It is shown that almost all engineering signals have non linear phase freguency characteristics (NLPFCs).To obtain efficient wavelet representations for such a kind of signals we construct a special class of orthogonal bases of wavelets which are compactly supported in freguency domain and with desired NLPFCs.Advantages of this kind of wavelets are:flexibility to produce a variety of wavelets with arbitrary shapes in time domain and tilings in time freguency plane,orthogonality over different scale spaces spaned by different such waveles,adjustability to fit the NLPFCs of signals so that to get the best bases for each signal.Four fault signals buried in extremely strong interferences as typically encountered in power systems are detected by these wavelets and a lot of others.The superiority of these wavelets over others in this case are demonstrated.