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Peer-reviewedCC BY 4.0Mathematics

Three-Dimensional Analytical Model of Axial Flux Magnetic Gear Based on Harmonic Modeling

  • Manh-Dung Nguyen1
  • Duy-Tinh Hoang1
  • Kyung-Hun Shin2
  • Jang-Young Choi1
  1. 1Department of Electrical Engineering, Chungnam National University, Daejeon 34134, Republic of Korea
  2. 2Department of Electrical Engineering, Changwon National University, Changwon 51140, Republic of Korea
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Abstract

This paper introduces a mathematical method for predicting the electromagnetic performance of an axial flux magnetic gear. The analytical approach, referred to as harmonic modeling, uses a complex Fourier series and the Cauchy product to obtain solutions to the partial differential equations governing the flux-density distribution and torque values in the machines. Unlike the conventional magnetic equivalent circuit method, which provides only average quantities, the proposed approach enables the prediction of spatial flux-density distributions. A 4/15/11 model was evaluated by comparison with three-dimensional finite element method simulations. The results of the flux density and torque demonstrate that the proposed method agreed well with the FEM. An extended analysis of harmonic selection was proposed, which improves the torque prediction with errors of about 3%.

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Cite

BibTeXRIS
BibTeX
@article{nguyen2026threedimensional,
  title = {{Three-Dimensional Analytical Model of Axial Flux Magnetic Gear Based on Harmonic Modeling}},
  author = {Manh-Dung Nguyen and Duy-Tinh Hoang and Kyung-Hun Shin and Jang-Young Choi},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14193629},
  url = {https://www.mdpi.com/2227-7390/14/19/3629},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Three-Dimensional Analytical Model of Axial Flux Magnetic Gear Based on Harmonic Modeling
AU  - Manh-Dung Nguyen
AU  - Duy-Tinh Hoang
AU  - Kyung-Hun Shin
AU  - Jang-Young Choi
PY  - 2026
DA  - 2026/10/07
JO  - Mathematics
DO  - 10.3390/math14193629
UR  - https://www.mdpi.com/2227-7390/14/19/3629
AB  - This paper introduces a mathematical method for predicting the electromagnetic performance of an axial flux magnetic gear. The analytical approach, referred to as harmonic modeling, uses a complex Fourier series and the Cauchy product to obtain solutions to the partial differential equations governing the flux-density distribution and torque values in the machines. Unlike the conventional magnetic equivalent circuit method, which provides only average quantities, the proposed approach enables the prediction of spatial flux-density distributions. A 4/15/11 model was evaluated by comparison with three-dimensional finite element method simulations. The results of the flux density and torque demonstrate that the proposed method agreed well with the FEM. An extended analysis of harmonic selection was proposed, which improves the torque prediction with errors of about 3%.
SN  - 2227-7390
ER  -