Thin Layers in Electrical Engineering. Example of Shell models in Analysing Eddy-Currents by Boundary and Finite Element Methods
Thin Layers in Electrical Engineering. Example of Shell models in Analysing Eddy-Currents by Boundary and Finite Element Methods
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电气工程中的薄层。
DOI：
10.1109/20.250676
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
Daniel Muller
中科院分区：
文献类型：
--
作者：
L. Krähenbühl;Daniel Muller
在过去的几年里，我们开发了几种数值公式来模拟物理问题，例如：绝缘体表面的传导薄膜效应（污染）[1]、高频涡流[2]、船体上的地场效应[3]。所涉及的物理效应是完全不同的，但在每个例子中，它们都源于相对于其他几何尺寸而言较薄的区域。有效的数值方法包括使用具有特殊边界条件的表面表示来表达薄区域内的解。我们在那篇论文中提出了一种电磁学中薄区域的教学方法，并作为一个例子，提出了在薄铁磁壳内流动的涡流的边界条件和表面方程。数值测试是使用 BEM 软件 PH13D 完成的，但结果可以轻松地转换到 FEM 环境中。实际应用可能涉及损耗计算（电机或变压器的屏蔽）或低频电磁扰动（屏蔽效应、EMC）以及特殊领域，例如平底锅感应加热的优化（法国烹饪艺术）。
During last years, several numerical formulations have been developed by us to modelize physical problems like: conducting film effects over the surface of insulators (pollution) [1], high frequency eddy-currents [2], earth field effects on the hull of a ship [3]. The physical effects being at stake are completely different, but in each of these examples, they originate from a region thin in regard with the other geometrical dimensions. An efficient numerical approach consists on using a surfacic representation with special boundary conditions expressing the solution inside the thin region. We propose in that paper a didactical approach to thin regions in electromanetics and, as an example, the boundary conditions and surfacic equation for eddy currents flowing inside a thin ferromagnetic shell. The numerical tests are done using the BEM software PH13D, but the results could easily be transposed in a FEM context. The practical applications may concern the computation of losses (shield of electrical machines or transformers) or low frequency electromagnetic perturbations (screen effects, EMC) as well as special domains like optimization of the induction heating of pans (french art culinaire).