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

A new method for the solution of nonlinear periodic systems (networks) has been developed. It avoids the time 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 is computed first; then using spectral analysis the steady-state periodic solution of the whole nonlinear network is reached by an iterative approach.