Performances evaluation of a class of original discrete wavelet transform based hybrid algorithms

The paper is concerned with the analysis based on the Discrete Wavelet Transform (DWT) of (non)stationary regimes in power systems. Different techniques are employed to perform decompositions using trees with 10 levels for different signals in (non)stationary regimes. The abilities of different methods to detect faults and respectively to deal with severe asymmetries are discussed. Power indices are calculated with different methods. A class of original hybrid algorithms is described, analyzed and discussed, generalization being provided. These algorithms can be used in all regimes and provide the fast “perfect reconstruction” property. Considering the results and other important criteria (run time, memory consumptions), practical recommendations are made with respect to the selection of a proper reliable and fast DWT algorithm depending on the operating conditions.