Two Computer Algorithms for Obtaining the Periodic Response of Nonlinear Circuits

In the computer-aided analysis of a nonlinear circuit with a stable periodic response, the steady state periodic response is usually found for a given initial state by simply integrating the system equations until the response becomes periodic. In a lightly damped system this integration could extend over many periods making the computation costly. In the paper two Newton algorithms are defined. The first algorithm IS FOR THE STEADY STATE ANALYSIS OF NONAUTONOMOUS SYSTEMS AND THE SECOND ALGORITHM IS FOR THE STEADY STATE ANALYSIS OF AUTONOMOUS SYSTEMS. The algorithms are 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. (Author)