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Two-dimensional hybrid model for magnetic field calculation in electrical machines: exact subdomain technique and magnetic equivalent circuit

Brahim Ladghem Chikouche (Department of Electrical Engineering, Faculty of Technology, University of M’sila, M’sila, Algeria-Laboratoire de Recherche en Electrotechnique (LRE-ENP), Ecole Nationale Polytechnique, Alger, Algeria)
Kamel Boughrara (Laboratoire de Recherche en Electrotechnique (LRE-ENP), Ecole Nationale Polytechnique, Alger, Algeria)
Frédéric Dubas (Département ENERGIE, FEMTO-ST, CNRS, University Bourgogne Franche-Comté, Belfort, France)
Rachid Ibtiouen (Laboratoire de Recherche en Electrotechnique (LRE-ENP), Ecole Nationale Polytechnique, Alger, Algeria)

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

ISSN: 0332-1649

Article publication date: 15 June 2021

Issue publication date: 20 August 2021

163

Abstract

Purpose

The purpose of this paper is to propose a two-dimensional (2-D) hybrid analytical model (HAM) in polar coordinates, combining a 2-D exact subdomain (SD) technique and magnetic equivalent circuit (MEC), for the magnetic field calculation in electrical machines at no-load and on-load conditions.

Design/methodology/approach

In this paper, the proposed technique is applied to dual-rotor permanent magnet (PM) synchronous machines. The magnetic field is computed by coupling an exact analytical model (AM), based on the formal resolution of Maxwell’s equations applied in subdomains, in regions at unitary relative permeability with a MEC, using a nodal-mesh formulation (i.e. Kirchhoff's current law), in ferromagnetic regions. The AM and MEC are connected in both directions (i.e. r- and theta-edges) of the (non-)periodicity direction (i.e. in the interface between teeth regions and all its adjacent regions as slots and/or air-gap). To provide accurate solutions, the current density distribution in slot regions is modeled by using Maxwell’s equations instead to MEC and characterized by an equivalent magnetomotive force (MMF) located in the slots, teeth and yoke.

Findings

It is found that whatever the iron core relative permeability, the developed HAM gives accurate results for both no-load and on-load conditions. Finite element analysis demonstrates the excellent results of the developed technique.

Originality/value

The main objective of this paper is to achieve a direct coupling between the AM and MEC in both directions (i.e. r- and theta-edges). The current density distribution is modeled by using Maxwell’s equations instead to MEC and characterized by an MMF.

Keywords

Acknowledgements

The authors acknowledge the financial support of the General Directorate of Scientific Research and Technological Development (DGRSDT) of Algeria.

Citation

Ladghem Chikouche, B., Boughrara, K., Dubas, F. and Ibtiouen, R. (2021), "Two-dimensional hybrid model for magnetic field calculation in electrical machines: exact subdomain technique and magnetic equivalent circuit", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 3, pp. 535-560. https://doi.org/10.1108/COMPEL-01-2021-0008

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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