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 $T$ and a reduced magnetic scalar potential (RMSP) $\Phi $ 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.

中文翻译：

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混合多尺度 FEM 用于解决层压导电介质中 T, Φ-Φ 涡流问题

提出了一种用于涡流问题的新型混合多尺度有限元方法，以避免对电气设备核心的每个层压板进行建模。该方法基于电流矢量势 $T$ 和降低的磁标量势 (RMSP) $\Phi $ 并处理 3-D 问题。考虑边缘效应。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 Biot-Savart 场表示。对称平面被利用。给出了数值模拟，以最小的计算成本显示出出色的准确性。