3D Analytical Modeling of Slotless Axial Flux Machines under No-Load Condition and Different Magnet Shapes

Articles in Press

Document Type : Research Paper

Authors

1 Department of Electrical Engineering, Faculty of Engineering, Lorestan University, Khorramabad, Iran.

2 Department of Civil Engineering, Faculty of Engineering, Lorestan University, Khorramabad, Iran

Abstract

This paper presents a new 3D analytical model based on Fourier-Bessel series for electromagnetic modeling the performance of slotless Axial Flux Permanent Magnet (AFPM) machines under no-load condition. The machine geometry is divided into different domains including Permanent Magnet (PM) domain, air-gap domain and so on. The Laplace equation in terms of scalar magnetic potential is solved in each domain, and their solutions is expressed based on Fourier-Bessel series to accurately consider the radial variation of air-gap magnetic field. A 2D geometry function based on Fourier-Bessel series is introduced to accurately consider the different PM shaping in magnet domain. The boundary condition is then used to determine the unknown constants in general solutions. This 3D analytical model is prepared to calculate the no-load flux-linkage of stator phases while considering different PM shapes and skewing effect. Two indexes including the amplitude of fundamental component and the total harmonic distortion (THD) of no-load phase flux-linkage are considered to investigate the effect of skewed PMs and other PM shapes. The capability of proposed 3D analytical model is also presented to calculate the air-gap magnetic field due to stator phases for determining the inductance matrix. In final, the accuracy of proposed 3D analytical model is verified by comparing with the corresponding results obtained through finite element method (FEM) and experiment set-up.

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Main Subjects

Journal of Modeling in Engineering

Articles in Press, Accepted Manuscript
Available Online from 26 May 2025

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History

  • Receive Date: 09 October 2024
  • Revise Date: 02 February 2025
  • Accept Date: 05 February 2025

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