Analytical Modeling of Permanent Magnet Eddy Current Couplings Using the Subdomain Method

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Journal Article
Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, 2017, 37 (15), pp. 4521 - 4529
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© 2017 Chin. Soc. for Elec. Eng. Permanent magnet eddy current transmission devices can transfer torque without any mechanical contact and wear and thus they are widely applicable to many industrial applications. The Eulerian formulation and the Lagrangian formulation respectively corresponding to the moving conductor eddy current problem described in moving coordinates and that in fixed coordinates were derived, and the two formulations proved to be equivalent to each other. Based on the subdomain method, a four-layered analytical model of permanent magnet eddy current couplings where the permanent magnet array, the air gap, the conductor and its back iron were taken into account was presented, the multi-layer boundary value problem was solved, and a very simple torque expression represented by the Fourier series was derived. To economize the amount of permanent magnet material as much as possible, an optimization method for exploiting the permanent magnet array was proposed by using the developed analytical model of permanent magnet eddy current couplings. By analyzing the examples and comparing the results obtained by the three-dimensional finite element analysis and the experiments, the effectiveness of the analytical model and the optimization scheme proposed in this paper was verified.
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