Applications of fast wavelet transformation algorithm based explicit wavelets in fault detection

For the required frequency information, the Mallat algorithm of wavelet transformation has slower response speed because of repeat use, while the wavelet packets transformation algorithm have a more calculative amount. This paper gives a fast algorithm derived from the definition of continuous wavelet transformation to obtain the required frequency information. The algorithm is good for the calculation on line, so it has much practical meaning for the real time fault detector. When applied to the fault detector during the system swing of HV line protection equipment, the RTDS (real time digital simulation) tests as well as the theoretical results show that the fast algorithm proposed in this paper can satisfy the request of fault detection.