Power measurement using the wavelet transform

Abstract

This paper provides the theoretical basis for and demonstrates the practical application of power and rms measurements directly from the wavelet transform data associated with each voltage current element pair. The voltage and current wavelet transforms are derived from concurrent measurements using a common orthonormal wavelet basis. The advantage of using the wavelet transform data directly is that it provides the distribution of the power and energy with respect to the individual frequency bands associated with each level of the wavelet analysis. Frequency separation into the various wavelet levels is achieved using IIR filters because their magnitude characteristics are much better than typical FIR filters of equivalent complexity. The IIR polyphase network strategy yields a simpler wavelet filter bank design.