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首页> 外文期刊>IEEE Transactions on Magnetics >Utilization of geometric symmetries in 'edge' based boundary integral eddy current solutions
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Utilization of geometric symmetries in 'edge' based boundary integral eddy current solutions

机译：在基于“边缘”的边界积分涡流解中利用几何对称性

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摘要

An efficient implementation of this simple layer integral equation procedure for eddy current computation is presented. Vector boundary elements of quadrilateral and trilateral shapes are constructed. These elements, based on facet finite elements, have unknowns associated with edges, and are useful for modeling vector surface currents. The simple layer integral procedure is then discretized via the method of moments. A procedure is implemented to fully utilize geometric symmetries of the interior domain. The symmetry planes are not necessarily perfect electric or magnetic conductors. Using symmetric vector shape functions and introducing symmetric components allows the coefficient matrix to be symmetrized and then reduced to smaller systems. This procedure is used to compute the eddy current profile of a conducting plate with a small slot.
机译：提出了一种用于涡流计算的简单层积分方程程序的有效实现。构造了四边形和三边形的矢量边界元素。这些基于面有限元的元素具有与边关联的未知数，可用于对矢量表面电流进行建模。然后，通过矩量法将简单的层积分过程离散化。实现一种程序以充分利用内部区域的几何对称性。对称平面不一定是完美的电导体或磁导体。使用对称矢量形状函数并引入对称分量可以使系数矩阵对称，然后缩减为较小的系统。该程序用于计算具有小缝隙的导电板的涡流分布。

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