Solving nonlinear circuits with pulsed excitation by multirate partial differential equations

TL;DR

This paper introduces a multirate PDE approach to efficiently solve nonlinear low-frequency circuits with pulsed signals, significantly reducing computational effort while maintaining accuracy at higher frequencies.

Contribution

The paper presents a novel application of MPDEs combined with Galerkin and time discretization methods for nonlinear circuit analysis, neglecting ripples to improve efficiency.

Findings

Neglecting high-frequency ripples yields negligible errors at higher frequencies.

The MPDE approach significantly accelerates nonlinear circuit simulations.

Performance gains increase with rising frequency.

Abstract

In this paper the concept of Multirate Partial Differential Equations (MPDEs) is applied to obtain an efficient solution for nonlinear low-frequency electrical circuits with pulsed excitation. The MPDEs are solved by a Galerkin approach and a conventional time discretization. Nonlinearities are efficiently accounted for by neglecting the high-frequency components (ripples) of the state variables and using only their envelope for the evaluation. It is shown that the impact of this approximation on the solution becomes increasingly negligible for rising frequency and leads to significant performance gains.