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

Author:

Sobczyk Tadeusz,Radzik Michał,Tulicki Jarosław

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.

Publisher

Emerald

Subject

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

Reference24 articles.

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4. Time-periodic condition of nonlinear magnetostatic problem coupled with electric circuit imposed by waveform relaxation method;IEEE Transactions on Magnetics,2016

5. Waveform relaxation-Newton method to determine steady state operation: application to three-phase transformer;Compel – the International Journal for Computation and Mathematics in Electrical and Electronic Engineering,2017

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