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Overview of analytical models of permanent magnet electrical machines for analysis and design purposes

Author

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  • Tiegna, Huguette
  • Amara, Yacine
  • Barakat, Georges

Abstract

Generally, accurate modelling of electrical machines requires the use of finite-element method. However, FE analysis is too time consuming, especially at firsts design stages, from the point of view of engineers working in R&D departments in the electrical machine industry. To reduce pre-design stages duration, analytical models are often preferred. Two types of analytical models are often used: magnetic equivalent circuits (MEC) and analytical models based on the formal solution of Maxwell's equations in constant permeability regions. However, MEC method is not as generic as the finite element method. In fact, even in the case of a given structure geometry, MEC method has to be adapted if the geometric parameters vary in a large scale. Analytical models based on the formal solution of Maxwell's equations help overcome aforementioned problem. This paper is intended as a tutorial overview based on a review of the state of the art, describing recent developments in the field of analytical modelling of permanent magnet machines.

Suggested Citation

  • Tiegna, Huguette & Amara, Yacine & Barakat, Georges, 2013. "Overview of analytical models of permanent magnet electrical machines for analysis and design purposes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 90(C), pages 162-177.
    • Handle: RePEc:eee:matcom:v:90:y:2013:i:c:p:162-177
    DOI: 10.1016/j.matcom.2012.12.002
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    References listed on IDEAS

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    1. Goby, F. & Razek, A., 1987. "Numerical calculation of electromagnetic forces," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 29(5), pages 343-350.
    2. Chebak, Ahmed & Viarouge, Philippe & Cros, Jérôme, 2010. "Optimal design of a high-speed slotless permanent magnet synchronous generator with soft magnetic composite stator yoke and rectifier load," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(2), pages 239-251.
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    Cited by:

    1. Yerai Moreno & Gaizka Almandoz & Aritz Egea & Patxi Madina & Ana Julia Escalada, 2020. "Multi-Physics Tool for Electrical Machine Sizing," Energies, MDPI, vol. 13(7), pages 1-18, April.
    2. Popoli, Arturo & Cristofolini, Andrea & Sandrolini, Leonardo, 2021. "A numerical model for the calculation of electromagnetic interference from power lines on nonparallel underground pipelines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 183(C), pages 221-233.
    3. Malé, Gael & Lubin, Thierry & Mezani, Smail & Lévêque, Jean, 2013. "Analytical calculation of the flux density distribution in a superconducting reluctance machine with HTS bulks rotor," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 90(C), pages 230-243.
    4. Sprangers, R.L.J. & Paulides, J.J.H. & Gysen, B.L.J. & Lomonova, E.A., 2017. "A fast semi-analytical model for the slotted structure of induction motors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 131(C), pages 316-327.
    5. Sergeant, Peter & Vansompel, Hendrik & Dupré, Luc, 2016. "Influence of stator slot openings on losses and torque in axial flux permanent magnet machines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 130(C), pages 22-31.
    6. Ouagued, Sofiane & Amara, Yacine & Barakat, Georges, 2016. "Comparison of hybrid analytical modelling and reluctance network modelling for pre-design purposes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 130(C), pages 3-21.
    7. Xinwen Chen & Hanying Jiang & Zhaohua Li & Kun Liang, 2020. "Modelling and Measurement of a Moving Magnet Linear Motor for Linear Compressor," Energies, MDPI, vol. 13(15), pages 1-12, August.

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