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A Study on Magnetic Force Characteristics Between Two Cuboidal Permanent Magnets

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Abstract

Cuboidal permanent magnets (PMs) are commonly used as elementary magnets for most magnetic systems that work by superposition of magnetic forces. This paper proposed a new method that combines the analytical model with the numerical calculation method to calculate the magnetic forces between two cuboidal PMs with parallel and perpendicular magnetization directions. The assumption was that the magnets were ideal with constant and homogeneous magnetizations. The method was also valid for other magnetization directions and any reference points in space, only needed to rotate the coordinate system and give corresponding distance expressions. An important result was that this method had the advantages of high accuracy and low computational cost, enabling rapid studies of the magnetic force characteristics related to magnet positions, geometric dimensions, and magnetic properties, which were easy to calculate by mathematical software, requiring very little running time. Meanwhile, the calculation results have been validated by comparison with the finite element simulation and experimental measurement. The effects of relative positions, dimensions, and magnetic properties on magnetic force characteristics between the two cuboidal PMs have been studied and discussed. Moreover, the improved magnetization distribution on the PM’s surface was made taking the PM’s relative permeability into account, and corresponding results have been given. These results indicated that the proposed method could help for a fast design and optimization of many PM devices that rely on magnetic forces, such as magnetic bearings, magnetic suspensions, magnetic actuators, etc.

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Funding

This work was supported by the Natural Science Foundation of Jilin Province (grant number 20170101060JC) and the Graduate Innovation Fund of Jilin University.

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Authors and Affiliations

  1. Key Laboratory of CNC Equipment Reliability, Ministry of Education, School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin, 130022, China

    Chuan Qu, Yong-Chen Pei & Zhen-Xing Li

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  1. Chuan Qu
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  2. Yong-Chen Pei
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Correspondence to Yong-Chen Pei.

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Qu, C., Pei, YC. & Li, ZX. A Study on Magnetic Force Characteristics Between Two Cuboidal Permanent Magnets. J Supercond Nov Magn 34, 2441–2454 (2021). https://doi.org/10.1007/s10948-021-05927-6

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