Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load Conditions

This paper presents a new 3D analytical model based on the Fourier–Bessel series for electromagnetic modeling of the performance of slotless axial flux permanent magnet (AFPM) machines under no-load conditions. The machine geometry is divided into different domains including the permanent magnet (PM...

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Main Author: Farhad Rezaee-Alam
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:International Transactions on Electrical Energy Systems
Online Access:http://dx.doi.org/10.1155/etep/5584461
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author Farhad Rezaee-Alam
author_facet Farhad Rezaee-Alam
author_sort Farhad Rezaee-Alam
collection DOAJ
description This paper presents a new 3D analytical model based on the Fourier–Bessel series for electromagnetic modeling of the performance of slotless axial flux permanent magnet (AFPM) machines under no-load conditions. The machine geometry is divided into different domains including the permanent magnet (PM) domain, the air-gap domain, and so on. The Laplace equation in terms of scalar magnetic potential is solved in each domain, and their solutions are expressed based on the Fourier–Bessel series to accurately consider the radial variation of the air-gap magnetic field. A 2D geometry function based on the Fourier–Bessel series is introduced to accurately consider the different PM shaping in the magnet domain. The boundary condition is then used to determine the unknown constants in the 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 effects. Two indexes including the amplitude of the 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 the proposed 3D analytical model is also presented to calculate the air-gap magnetic field due to the stator phases for determining the inductance matrix. Finally, the accuracy of the proposed 3D analytical model is verified by comparing it with the corresponding results obtained through the finite element method (FEM) and the experiment setup.
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issn 2050-7038
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spelling doaj-art-93ab16ae3dda496eb9ddf05df0d834ae2025-08-20T03:00:01ZengWileyInternational Transactions on Electrical Energy Systems2050-70382025-01-01202510.1155/etep/5584461Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load ConditionsFarhad Rezaee-Alam0Department of Electrical EngineeringThis paper presents a new 3D analytical model based on the Fourier–Bessel series for electromagnetic modeling of the performance of slotless axial flux permanent magnet (AFPM) machines under no-load conditions. The machine geometry is divided into different domains including the permanent magnet (PM) domain, the air-gap domain, and so on. The Laplace equation in terms of scalar magnetic potential is solved in each domain, and their solutions are expressed based on the Fourier–Bessel series to accurately consider the radial variation of the air-gap magnetic field. A 2D geometry function based on the Fourier–Bessel series is introduced to accurately consider the different PM shaping in the magnet domain. The boundary condition is then used to determine the unknown constants in the 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 effects. Two indexes including the amplitude of the 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 the proposed 3D analytical model is also presented to calculate the air-gap magnetic field due to the stator phases for determining the inductance matrix. Finally, the accuracy of the proposed 3D analytical model is verified by comparing it with the corresponding results obtained through the finite element method (FEM) and the experiment setup.http://dx.doi.org/10.1155/etep/5584461
spellingShingle Farhad Rezaee-Alam
Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load Conditions
International Transactions on Electrical Energy Systems
title Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load Conditions
title_full Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load Conditions
title_fullStr Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load Conditions
title_full_unstemmed Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load Conditions
title_short Magnet Shape Modeling in Slotless Axial Flux Permanent Magnet Machines Under No-Load Conditions
title_sort magnet shape modeling in slotless axial flux permanent magnet machines under no load conditions
url http://dx.doi.org/10.1155/etep/5584461
work_keys_str_mv AT farhadrezaeealam magnetshapemodelinginslotlessaxialfluxpermanentmagnetmachinesundernoloadconditions