Steady State Analysis of Nonlinear Circuits That Have a Periodic Response
Thomas J. Aprille, Timothy N. Trick · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign) · 1971
A very important problem in the computer-aided design of nonlinear circuits is the steady state analysis of lightly damped nonlinear circuits such as harmonic multipliers and oscillators.Presently one searches for the periodic response by simply integrating the system equations from a given initial state until the response becomes periodic.In lightly damped systems this integration could extend over many periods making the computation costly.In this paper a Newton algorithm is defined which converges rapidly to the steady state response.The algorithm is applied to several nonlinear circuits.The results show a considerable reduction in the amount of time necessary to compute the steady state response.In addition, the initial iterates give information on the transient response of the system.