A magnetically shielded wire (MSW) is effective for the reduction of the eddy-current loss due to the proximity effect. When using the finite-element method (FEM), it is challenging to analyze the electric apparatus, including MSWs, because its radius is much smaller than the overall machine size. This problem can be circumvented by modeling a multiturn MS coil (MSC) as uniform material with the macroscopic complex permeability defined in the frequency domain. This article presents an extension of this homogenization method to the time domain. The inverse Laplace transform is effectively performed by expanding the complex permeability into partial fractions. It is shown that the proposed method is accurate even when the magnetic saturation of the magnetic core is in effect.

中文翻译：

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使用均质化有限元方法对磁屏蔽线圈进行时域分析

磁屏蔽线 (MSW) 可有效减少由于邻近效应引起的涡流损耗。使用有限元法 (FEM) 时，分析包括 MSW 在内的电气设备具有挑战性，因为其半径远小于机器的整体尺寸。这个问题可以通过将多匝 MS 线圈 (MSC) 建模为具有在频域中定义的宏观复磁导率的均匀材料来解决。本文介绍了将这种均质化方法扩展到时域。通过将复数渗透率扩展为部分分数，可以有效地执行逆拉普拉斯变换。结果表明，即使在磁芯磁饱和的情况下，所提出的方法也是准确的。