Radial basis function meshless method to solve 2-D electromagnetic problems with moving conductors

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Journal Article
Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, 2011, 31 (30), pp. 146 - 152
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This paper applied the radial basis function (RBF) collocation method to solve electromagnetic problems with moving conductors. A superposition RBF collocation method under moving coordinate system was presented to compute the convective-diffusion Maxwell equations of the transient eddy current magnetic field. The field, which was regarded as a superposition of two fields generated by the excitation current and the eddy current respectively, was constructed with RBFs in separate moving coving coordinate systems. According to the linear property of the RBF collocation model, the corresponding governing equations could be directly decoupled and solved through time-domain iteration. Therefore, the motion of the conductor could be transferred into the relative motion between coordinate systems. And the RBF model would not change during the iteration, which avoided the model reconfiguration due to the conductor motion. To examine the method, two numerical examples: TEAM workshop problem 28 and an electromagnetic launcher system were computed. The results agreed well with the experiment data shown in literatures. © 2011 Chin. Soc. for Elec. Eng.
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