Evaluation of Jacobian used in Simulation of Nonlinear Circuits in the Modified Harmonic Domain

Abstract

Nonlinear circuits are readily modeled by means of harmonic domain (HD) techniques and their stationary state can easily be calculated by means of well-established techniques. This paper evaluates and compares two distinct types of Jacobians, i.e., numerical and analytical, utilized in stationary calculation of nonlinear networks via the modified harmonic domain (MHD). Convergence properties, computational efficiency, and practical computational implementation topics regarding the two types of Jacobians are presented.