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

Antonino Di Gerlando and Claudio Ricca ()
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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

Energies, 2023, vol. 16, issue 8, 1-16

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.

Keywords: armature reaction; NVH; electromagnetic forces; electrical machines; magnetic fields; magnetic flux density (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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