This paper provides an analytical method for calculating the electromagnetic field of the tubular linear permanent magnet eddy current brake. The method of separating variables based on Fourier series is used to solve the boundary value problem, and the analytical solution of electromagnetic fieldis obtained. The braking force is obtained by calculating the Lorentz force. Then the accuracy of the analytical method is verified by comparing the analytical solutions with the solutions obtained by finite element method (FEM). In order to improve braking performance in a limited space, the parameter analysis is carried out to investigate the influence of various structural parameters on the braking characteristics. According to the results of parameter analysis, the range of design parameters is determined. Finally, a multi-objective optimization is applied to find the optimal design parameters of the eddy current brake. The braking force increases by 27% and the volume of permanent magnet decreases by 7.7% after optimization.

中文翻译：

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Halbach阵列线性线性永磁涡流制动器的建模与优化。

本文提供了一种用于计算管状线性永磁涡流制动器电磁场的分析方法。采用基于傅立叶级数的变量分离方法解决了边值问题，得到了电磁场的解析解。制动力是通过计算洛伦兹力获得的。然后，通过将解析解与通过有限元法（FEM）获得的解进行比较，验证了解析方法的准确性。为了在有限的空间内提高制动性能，进行了参数分析，以研究各种结构参数对制动特性的影响。根据参数分析的结果，确定设计参数的范围。最后，应用多目标优化算法来找到涡流制动器的最佳设计参数。优化后，制动力增加了27％，永磁体的体积减少了7.7％。