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Direct steady-state solutions for circuit models of nonlinear electromagnetic devices

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

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 10 July 2021

Issue publication date: 20 August 2021

25

Abstract

Purpose

This paper aims to omit the difficulties of directly finding the periodic steady-state solutions for electromagnetic devices described by circuit models.

Design/methodology/approach

Determine the discrete integral operator of periodic functions and develop an iterative algorithm determining steady-state solutions by a multiplication of matrices only.

Findings

An alternative method to creating finite-difference relations directly determining steady-state solutions in the time domain.

Research limitations/implications

Reduction of software and hardware requirements for determining steady-states of electromagnetic.

Practical implications

A unified approach for directly finding steady-state solutions for ordinary nonlinear differential equations presented in the normal form.

Originality/value

Eliminate the necessity of solving high-order finite-difference equations for steady-state analysis of electromagnetic devices described by circuit models.

Keywords

Citation

Sobczyk, T., Radzik, M. and Tulicki, J. (2021), "Direct steady-state solutions for circuit models of nonlinear electromagnetic devices", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 3, pp. 660-675. https://doi.org/10.1108/COMPEL-10-2020-0324

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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