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A new approach to steady state analysis of nonlinear electrical circuits

Tadeusz Sobczyk (Institute of Electromechanical Energy Conversion, Cracow University of Technology , Krakow, Poland)
Michał Radzik ( Technical Institute , State Higher Vocational School in Nowy Sącz, Nowy Sącz, Poland)

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.

Keywords

Acknowledgements

This research has been carried out in the frame of project E-2/581/2016/DS founded by the Polish Ministry of Science and Higher Education.

Citation

Sobczyk, T. and Radzik, M. (2017), "A new approach to steady state analysis of nonlinear electrical circuits", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 36 No. 3, pp. 716-728. https://doi.org/10.1108/COMPEL-09-2016-0387

Publisher

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Emerald Publishing Limited

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