An alternative method for transient analysis via wavelets

This paper presents an alternative method for transient analysis of dynamical systems. The method consists of the traditional frequency domain analysis to capture the steady state operation of the system and a wavelet-based transient analysis which captures the disturbance. The total solution is obtained from the superposition of the steady state and disturbance solutions. This paper focuses on the second part of the solution method. We have named this method WBTA (wavelet-based transient analysis). It can be implemented using any set of orthogonal wavelets. In this paper, we present an implementation with Daubechies wavelets. The results obtained using this method are compared and verified with a numerical time-domain analysis method. A concise description of the method is presented followed by examples.