Time-Domain Finite-Element Eddy-Current Homogenization of Windings Using Foster Networks and Recursive Convolution
Time-Domain Finite-Element Eddy-Current Homogenization of Windings Using Foster Networks and Recursive Convolution
复制标题
使用 Foster 网络和递归卷积对绕组进行时域有限元涡流均匀化
DOI：
10.1109/tmag.2020.3032884
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发表时间：
2020
影响因子：
2.1
通讯作者：
R. Sabariego
中科院分区：
文献类型：
--
作者：
Carlos A. Valdivieso;G. Meunier;B. Ramdane;J. Gyselinck;C. Guérin;R. Sabariego
在本文中，我们提出了一种替代的时域方法，用于在有限元（FE）模型中具有频率相关参数的多匝绕组的均匀化。首先，在感兴趣的频率范围内对导体进行基本的二维有限元表征，以获得频率相关参数并考虑绕组中的涡流效应。这些复系数随后与等效的福斯特网络相关联，并通过拉普拉斯逆变换转换到时域。用递归卷积格式求解得到的时域方程。匀化绕组不需要额外的自由度。均质化模型的结果与所有回合显式离散化的精确但昂贵的有限元模型的结果非常吻合。该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。
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.