A Mixed Multiscale FEM for the Eddy-Current Problem With T, Φ–Φ in Laminated Conducting Media
A Mixed Multiscale FEM for the Eddy-Current Problem With T, Φ–Φ in Laminated Conducting Media
复制标题
叠层导电介质中 T、Φ-Φ 涡流问题的混合多尺度有限元法
DOI：
10.1109/tmag.2019.2954480
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发表时间：
2020
影响因子：
2.1
通讯作者：
M. Schöbinger
中科院分区：
文献类型：
--
作者：
K. Hollaus;M. Schöbinger
提出了一种新的涡流问题的混合多尺度有限元方法，以避免对每个叠层的电气设备的核心建模的必要性。该方法是基于一个电流矢量位<inline-formula><tex-math notation="LaTeX">$T$</tex-math></inline-formula>和一个约化的磁标量位（RMSP）<inline-formula><tex-math notation="LaTeX">$\Phi $</tex-math></inline-formula>和处理与3-D的问题。考虑了边缘效应。假设材料属性是线性的。因此，该方法是针对频域开发的。外部电流由作为激励的毕奥-萨伐尔场表示。对称面被利用了。数值模拟，以最小的计算成本表现出优异的精度。
A novel mixed multiscale finite-element method for the eddy-current problem is presented to avoid the necessity of modeling each laminate of the core of electrical devices. The method is based on a current vector potential <inline-formula> <tex-math notation="LaTeX">$T$ </tex-math></inline-formula> and a reduced magnetic scalar potential (RMSP) <inline-formula> <tex-math notation="LaTeX">$\Phi $ </tex-math></inline-formula> and copes with the 3-D problems. The edge effect is considered. Material properties are assumed to be linear. Hence, the method is developed for the frequency domain. External currents are represented by the Biot–Savart field serving as excitation. The planes of symmetry are exploited. Numerical simulations are presented, showing excellent accuracy at minimal computational costs.