Magnetic Field Analysis of Trapezoidal Halbach Permanent Magnet Linear Synchronous Motor Based on Improved Equivalent Surface Current Method
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https://doi.org/10.13052/2025.ACES.J.400109关键词:
Air gap magnetic field, harmonic distortion rate, improved equivalent surface current method (IESCM), permanent magnet linear synchronous motor (PMLSM)摘要
This paper proposes an improved analytical method to calculate the two-dimensional air gap magnetic field (AGMF) of the permanent magnet array in trapezoidal Halbach permanent magnet linear synchronous motors. The influence of the trapezoidal magnet bottom angle a, equivalent width coefficient aw, height coefficient ah and air gap height coefficient ag on the amplitude and harmonic distortion rate of the air gap central magnetic field is analyzed. Based on the equivalent surface current method (ESCM), an improved equivalent algorithm based on trapezoidal side length is proposed for the trapezoidal Halbach permanent magnet array (THPMA). The equivalent analytical formula of two-dimensional air gap flux density is derived and verified by the finite element method (FEM). Results show that the improved equivalent surface current method (IESCM) is convenient and accurate and is suitable for magnetic field calculation of irregular magnetic poles with arbitrary section shape. Analysis shows that, compared with a rectangular magnet, when the bottom angle a of the magnet is greater than 90∘, AGMF can obtain the maximum peak value of magnetic flux density (Bpeak) and the minimum total harmonics distortion of magnetic flux density (THDB).
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