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Adaptive Finite Element Meshing at Each Iterative Calculation for Electromagnetic Field Analysis of Rotating Machines

机译:旋转电机电磁场分析的每次迭代自适应网格划分

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摘要

In this paper, we propose a novel algorithm of the nonlinear time-stepping finite element method for analyses of rotating machines. In the method, the adaptive finite element meshing is applied at each nonlinear and time-stepping iterative calculation with the interpolate calculations of the potentials from the previous step. The primary finite element mesh at each time step is obtained from the final mesh of the previous time step with minor modification due to the movement of the rotor. The proposed method is applied to the characteristics calculations of a permanent magnet motor and an induction motor to verify the method's validity and its usefulness. It is clarified that the proposed method gives almost identical results to the conventional adaptive meshing method whereas the calculation time is reduced to less than 1/10 in most cases. As a result, the proposed method can reduce not only the time of making mesh manually but also the calculation time compared with the usual finite element method without adaptive meshing.
机译:在本文中,我们提出了一种新颖的非线性时步有限元算法来分析旋转机械。在该方法中,自适应有限元网格划分在每个非线性和时间步长迭代计算中进行,并使用前一步的电势进行插值计算。每个时间步长的主要有限元网格都是从前一个时间步长的最终网格中获得的,由于转子的运动,该网格进行了较小的修改。将该方法应用于永磁电动机和感应电动机的特性计算中,验证了该方法的有效性和实用性。需要说明的是,提出的方法与传统的自适应网格划分方法几乎提供了相同的结果,而在大多数情况下,计算时间减少到了不到1/10。结果,与没有自适应网格的普通有限元方法相比,该方法不仅可以减少手工制作网格的时间,而且可以减少计算时间。

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