A computer algorithm to determine the periodic steady-state solutions of nonlinear systems using spectral analysis

Abstract

A new method for the solution of nonlinear periodic systems (networks) has been developed. I t avoids the t i m e domain solution of the network equations. In the proposed method, the network is augmented as linear and nonlinear networks. Frequency domain solution of the linear subnetwork i s computed first; then using Spectral analysis the steady-state periodic solution of the whole nonlinear network is reached by an iterative approach.