DETERMINING THE STEADY-STATE OUTPUT OF NONLINEAR OSCILLATORY CIRCUITS USING MULTIPLE SHOOTING

In this paper, we propose a time-domain approach for computing the steady-state response of nonlinear oscillatory circuits using multiple shooting techniques. For nonautonomous circuits, the algorithm is easily adapted from the multiple shooting techniques currently used to solve boundary value problems. The nonautonomous multiple shooting algorithms must be modified to work in the autonomous case as the period T is unknown. The two algorithms developed in this paper are compared with previously proposed single shooting methods on several example circuits. Additionally, the multiple shooting algorithm is compared with single shooting on a parallel machine to demonstrate its easy adaptation to this type of computer platform. The proposed multiple shooting algorithms contain both the desirable attribute of quadratic convergence while exhibiting a larger region of convergence than previously proposed single shooting methods.