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Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction

Author

Listed:
  • Antonino Di Gerlando

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

  • Claudio Ricca

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

Abstract

The following paper presents an analytical study of the air-gap magnetic field distribution produced by the armature reaction of a linear machine. Based on the method of images, the magnetic field generated by a current carrying conductor inside the air-gap between two smooth infinitely permeable iron surfaces is modeled as a complex 2D function. The conductor model then becomes a current sheet model and horizontally oriented current sheets are used to model the magnetic field produced by the armature reaction for smooth ferromagnetic surfaces. Focus will be given to the study of the slot opening function in front of energized slots in comparison to the not energized ones of the classical theory pointing out some remarkable differences. Later, the model is extended to slotted geometries using a complex slotting function adapted for energized slots. At last, the Maxwell tensor expressed in complex formulation will be integrated to obtain the force components acting on the machine tooth tips, quantities that will be compared with FEM simulations in order to validate the proposed analytical model.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:8:p:3301-:d:1117861
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    References listed on IDEAS

    as
    1. 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.
    2. Fangwu Ma & Hongbin Yin & Lulu Wei & Liang Wu & Cansong Gu, 2018. "Analytical Calculation of Armature Reaction Field of the Interior Permanent Magnet Motor," Energies, MDPI, vol. 11(9), pages 1-12, September.
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    Cited by:

    1. Cao, Tianxiao & Hu, Yuda, 2024. "Chaos prediction and bifurcation of soft ferromagnetic thin plates with motion in dual air-gap magnetic fields excited by armatures," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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