General 3D Analytical Method for Eddy-Current Coupling with Halbach Magnet Arrays Based on Magnetic Scalar Potential and H-Functions

Xiaoquan Lu, Xinyi He, Ping Jin, Qifeng Huang, Shihai Yang and Mingming Chen
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Xiaoquan Lu: State Grid Jiangsu Electric Power Co., Ltd., Marketing Service Center, Nanjing 210019, China
Xinyi He: The College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
Ping Jin: The College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
Qifeng Huang: State Grid Jiangsu Electric Power Co., Ltd., Marketing Service Center, Nanjing 210019, China
Shihai Yang: State Grid Jiangsu Electric Power Co., Ltd., Marketing Service Center, Nanjing 210019, China
Mingming Chen: State Grid Jiangsu Electric Power Co., Ltd., Marketing Service Center, Nanjing 210019, China

Energies, 2021, vol. 14, issue 24, 1-15

Abstract: Rapid and accurate eddy-current calculation is necessary to analyze eddy-current couplings (ECCs). This paper presents a general 3D analytical method for calculating the magnetic field distributions, eddy currents, and torques of ECCs with different Halbach magnet arrays. By using Fourier decomposition, the magnetization components of Halbach magnet arrays are determined. Then, with a group of H-formulations in the conductor region and Laplacian equations with magnetic scalar potential in the others, analytical magnetic field distributions are predicted and verified by 3D finite element models. Based on Ohm’s law for moving conductors, eddy-current distributions and torques are obtained at different speeds. Finally, the Halbach magnet arrays with different segments are optimized to enhance the fundamental amplitude and reduce the harmonic contents of air-gap flux densities. The proposed method shows its correctness and validation in analyzing and optimizing ECCs with Halbach magnet arrays.

Keywords: analytical calculation; eddy-current coupling; Halbach magnet array (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: 2021
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