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Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines

Author

Listed:
  • Antonino Di Gerlando

    (Department of Energy, Politecnico di Milano, via La Masa 34, 20156 Milan, Italy)

  • Claudio Ricca

    (Department of Energy, Politecnico di Milano, via La Masa 34, 20156 Milan, Italy)

Abstract

This paper presents an analytical study of the air-gap magnetic field of a Surface Permanent Magnet (SPM) linear machine under no load. By means of the method of images, the complex expression of the magnetic field of a conductor, inside the air gap between two smooth iron surfaces, is retrieved. Then, integrating the conductor expression, the formulation of the magnetic field of a current sheet and thus the one of a SPM, using two vertical current sheets, is obtained. At last, the no-load magnetic field expression, for a generic time instant, of a slotless machine is retrieved. The novelty of the proposed approach is the availability, due to a different calculation approach, of a unique closed-form formulation for the slotless machine air-gap field, a quantity that, in literature, is usually present in Fourier series formulation. Additionally, as a means to calculate integral quantities and show the goodness of the method a complex slotting function is introduced to account for the slotted geometry. Finally, starting from Lorenz’s force formulation, the expression of the Maxwell tensor in complex form is retrieved and the contribution of forces, integral of the complex stress tensor quantity, will be calculated and compared with FEM simulations, showing a good agreement also with the analytical slotted model.

Suggested Citation

  • Antonino Di Gerlando & Claudio Ricca, 2023. "Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines," Energies, MDPI, vol. 16(7), pages 1-19, April.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:7:p:3197-:d:1113884
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    References listed on IDEAS

    as
    1. Bo Li & Jun’an Zhang & Xiaolong Zhao & Bo Liu & Hao Dong, 2023. "Research on Air Gap Magnetic Field Characteristics of Trapezoidal Halbach Permanent Magnet Linear Synchronous Motor Based on Improved Equivalent Surface Current Method," Energies, MDPI, vol. 16(2), pages 1-12, January.
    2. Huihui Geng & Xueyi Zhang & Shilong Yan & Yufeng Zhang & Lei Wang & Yutong Han & Wei Wang, 2022. "Magnetic Field Analysis of an Inner-Mounted Permanent Magnet Synchronous Motor for New Energy Vehicles," Energies, MDPI, vol. 15(11), pages 1-22, June.
    3. Yusuf Akcay & Paolo Giangrande & Oliver Tweedy & Michael Galea, 2021. "Fast and Accurate 2D Analytical Subdomain Method for Coaxial Magnetic Coupling Analysis," Energies, MDPI, vol. 14(15), pages 1-18, July.
    4. Jean-Michel Grenier & Ramón Pérez & Mathieu Picard & Jérôme Cros, 2021. "Magnetic FEA Direct Optimization of High-Power Density, Halbach Array Permanent Magnet Electric Motors," Energies, MDPI, vol. 14(18), pages 1-19, September.
    5. Wenjing Hu & Xueyi Zhang & Hongbin Yin & Huihui Geng & Yufeng Zhang & Liwei Shi, 2020. "Analysis of Magnetic Field and Electromagnetic Performance of a New Hybrid Excitation Synchronous Motor with dual-V type Magnets," Energies, MDPI, vol. 13(6), pages 1-19, March.
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    Cited by:

    1. Antonino Di Gerlando & Claudio Ricca, 2023. "Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction," Energies, MDPI, vol. 16(8), pages 1-16, April.

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