An improved steady-state method applying Broyden's technique to the shooting method [nonlinear circuits]

This paper presents a time-domain method which enables multi-level and mixed-domain steady state analysis. In some key applications such as power electronics and communications, the designer is typically interested in the steady state performance of the circuit. Currently, one of the popular methods for computing the forced periodic steady state of a nonlinear circuit is the shooting method. This requires the solution of a boundary equation for periodicity. Our technique uses a quasi-Newton method called Broyden's method to solve this equation. This widens the range and applicability of the shooting method considerably. With this algorithm it is now possible to do time-domain, behavioral steady-state analysis. Other advantages are that it requires significantly less matrix computations and storage than previously used methods, and that it can be implemented very easily around any standard transient analysis program. Results on several converter circuits which show the potential of this algorithm are presented.