A new approach to steady state analysis of nonlinear electrical circuits

Author:

Sobczyk Tadeusz,Radzik Michał

Abstract

Purpose The purpose of this study is to identify a novel methodology for direct calculation of steady-state periodic solutions for electrical circuits described by nonlinear differential equations, in the time domain. Design/methodology/approach An iterative algorithm was created to determine periodic steady-state solutions for circuits with nonlinear elements in a chosen set of time instants. Findings This study found a novel differential operator for periodic functions and its application in the steady-state analysis. Research limitations/implications This approach can be extended to the determination of two- or multi-periodic solutions of nonlinear dynamic systems. Practical implications The complexity of the steady-state analysis can be reduced in comparison with the frequency-domain approach. Originality/value This study identified novel difference equations for direct steady-state analysis of nonlinear electrical circuits.

Publisher

Emerald

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computational Theory and Mathematics,Computer Science Applications

Reference33 articles.

1. Frequency-domain analysis of non-linear circuit elements,2006

2. Time-domain analysis of nonlinear circuits with periodic excitation;Electronics Letters,1991

3. Method for steady-state simulation of strongly nonlinear circuits in the time domain;IEEE Transaction, Circuits and Systems I: Fundamental Theory and Applications,2001

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