A new approach to steady state analysis of nonlinear electrical circuits

Abstract

PurposeThe 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/approachAn iterative algorithm was created to determine periodic steady-state solutions for circuits with nonlinear elements in a chosen set of time instants.FindingsThis study found a novel differential operator for periodic functions and its application in the steady-state analysis.Research limitations/implicationsThis approach can be extended to the determination of two- or multi-periodic solutions of nonlinear dynamic systems.Practical implicationsThe complexity of the steady-state analysis can be reduced in comparison with the frequency-domain approach.Originality/valueThis study identified novel difference equations for direct steady-state analysis of nonlinear electrical circuits.