Fast Time-Domain Finite Element Analysis of 3-D Nonlinear Time-Periodic Eddy Current Problems With T, Φ - Φ Formulation
Fast Time-Domain Finite Element Analysis of 3-D Nonlinear Time-Periodic Eddy Current Problems With T, Φ - Φ Formulation
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DOI：
10.1109/tmag.2010.2086440
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发表时间：
2011-05-01
影响因子：
2.1
通讯作者：
Preis, Kurt
中科院分区：
文献类型：
--
作者：
Biro, Oszkar;Koczka, Gergely;Preis, Kurt
本文提出了一种用T，Phi-Phi公式求解具有非线性材料特性和周期激励的三维涡流问题的稳态解的方法。该问题是制定在时域和应用程序的一个固定点的方法结合离散傅立叶变换技术，确保在一个非线性迭代步骤中，有一个周期内的时间步长之间没有耦合。因此，稳态结果是通过求解一个周期内时间步数的一半来获得的。由于时间步长是解耦的，它们的计算可以很容易地并行化，从而产生快速方法。与瞬态时间步进技术得到的结果进行比较。
A method is presented for obtaining the steady-state solution of three-dimensional eddy current problems with nonlinear material properties and periodic excitations using the T, Phi - Phi formulation. The problem is formulated in the time-domain and the application of a fixed-point approach combined with a discrete Fourier-transformation technique ensures that, during one nonlinear iteration step, there is no coupling between the time-steps within one period. The steady-state result is hence obtained by solving half as many time steps as their number in one period. Since the time steps are decoupled, their computation can be readily parallelized resulting in a fast method. Comparison with results obtained by a transient time-stepping technique is presented.