STEADY-STATE ANALYSIS OF NONLINEAR OSCILLATORY CIRCUITS BY A SIMPLICIAL HOMOTOPY METHOD.

An important problem in the computer-aided design of electronic circuits is the determination of the steady-state periodic response of nonlinear oscillatory systems. The Newton method is one of the most well-known methods for the steady-state analysis. However, it often fails to converge unless the initial estimate is appropriately given. In this short note, a simplicial homotopy method is applied for computing the steady-state solution of nonlinear oscillatory systems. It is shown by numerical examples that the region of convergence of the simplicial homotopy method is considerably wider than that of the Newton method. Furthermore, a new strategy of mesh refinement is also introduced in order to improve the computational efficiency of the proposed method.