A substitution algorithm for solving nonlinear circuits with multi‐frequency components

Abstract In this paper, we present an efficient algorithm for calculating the steady‐state response of nonlinear circuits such as forced circuits driven by multi‐frequency‐component signals, forced oscillators, and coupled oscillators. We call the technique a substitution method because the variation at each step is calculated by solving an associated time‐invariant sensitivity circuit at each frequency component of the residual error, whose circuit is derived from a relaxation method. the algorithm is very simple and efficient, and it can be applied to a wide variety of nonlinear circuits.