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Published in: Electrical Engineering 4/2023

27-03-2023 | Original Paper

Hybrid modeling for permanent-magnet electrical machines using Maxwell-Fourier and finite-element method

Authors: Brahim Ladghem-Chikouche, Kamel Boughrara, Frédéric Dubas, Rachid Ibtiouen

Published in: Electrical Engineering | Issue 4/2023

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Abstract

This paper is the first that proposes an extended hybrid analytical method (HAM) based on a two-dimensional (2-D) coupling between the semi-analytical Maxwell-Fourier analysis and finite-element method (FEM) in polar coordinates. The proposed model is applied to any rotating electrical machines. The main objective of this paper is to establish the magnetic field solution in the whole machine by coupling an exact analytical model (AM), proposed for all regions having relative magnetic permeability equal to unity, with a FEM in ferromagnetic regions. The AM and FEM are coupled in both directions \((r,\theta )\) in the edge separating teeth regions and all its adjacent regions by applied boundary conditions (BCs). The developed HAM gives accurate results on the magnetic flux density distribution and the cogging torque whatever the operating conditions, the magnetic or geometric parameters. All results obtained give very satisfactory agreement with 2-D finite-element analysis (FEA).

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Appendix
Available only for authorised users
Literature
7.
8.
go back to reference Roubache L, Boughrara K, Dubas F, Ibtiouen R (2018) Technique en sous-domaines élémentaires dans les machines asynchrones à cage d'écureuil : Saturation magnétique locale & Courants de Foucault dans les barres. in Proc. Symposium de Génie Électrique, Nancy, France, pp 3–5. Roubache L, Boughrara K, Dubas F, Ibtiouen R (2018) Technique en sous-domaines élémentaires dans les machines asynchrones à cage d'écureuil : Saturation magnétique locale & Courants de Foucault dans les barres. in Proc. Symposium de Génie Électrique, Nancy, France, pp 3–5.
9.
go back to reference Ladghem-Chikouche B, Boughrara K, Dubas F, Ibtiouen R (2021) Analytical magnetic field calculation for flat permanent-magnet linear machines with dual-rotor by using improved two-dimensional hybrid analytical method. COMPEL Int J Comput Math Electr Electron Eng 40(3):602–623. https://doi.org/10.1108/COMPEL-02-2021-0039. Ladghem-Chikouche B, Boughrara K, Dubas F, Ibtiouen R (2021) Analytical magnetic field calculation for flat permanent-magnet linear machines with dual-rotor by using improved two-dimensional hybrid analytical method. COMPEL Int J Comput Math Electr Electron Eng 40(3):602–623. https://​doi.​org/​10.​1108/​COMPEL-02-2021-0039.
Metadata
Title
Hybrid modeling for permanent-magnet electrical machines using Maxwell-Fourier and finite-element method
Authors
Brahim Ladghem-Chikouche
Kamel Boughrara
Frédéric Dubas
Rachid Ibtiouen
Publication date
27-03-2023
Publisher
Springer Berlin Heidelberg
Published in
Electrical Engineering / Issue 4/2023
Print ISSN: 0948-7921
Electronic ISSN: 1432-0487
DOI
https://doi.org/10.1007/s00202-023-01789-4

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