In this article, we propose an alternative time-domain approach for the homogenization of multiturn windings with frequency-dependent parameters in finite-element (FE) models. First, an elementary 2-D FE characterization of the conductors is carried out over the frequency range of interest to obtain the frequency-dependent parameters and account for the eddy-current effects in the winding. These complex coefficients are subsequently associated with an equivalent Foster network and translated into the time domain via the inverse Laplace transform. The resulting time-domain equations are solved with a recursive convolution scheme. No extra degrees of freedom are required in the homogenized winding. The results of the homogenized model present an excellent agreement with those obtained by an accurate but expensive FE model in which all turns are explicitly discretized. The proposed approach is further compared with a previously developed time-domain homogenization technique based on RL Cauer networks.

中文翻译：

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使用 Foster 网络和递归卷积的绕组时域有限元涡流均质化

在本文中，我们提出了一种替代时域方法，用于在有限元 (FE) 模型中对具有频率相关参数的多匝绕组进行均匀化。首先，在感兴趣的频率范围内对导体进行基本的 2-D FE 表征，以获得与频率相关的参数并考虑绕组中的涡流效应。这些复系数随后与等效的 Foster 网络相关联，并通过逆拉普拉斯变换转换到时域中。得到的时域方程用递归卷积方案求解。在均质绕组中不需要额外的自由度。均质化模型的结果与通过精确但昂贵的 FE 模型获得的结果非常吻合，其中所有转弯都明确离散化。所提出的方法进一步与先前开发的基于 RL Cauer 网络的时域均匀化技术进行了比较。