Comparison of alternative formulations of 3-dimensional magnetic-field and eddy-current problems at power frequencies
Comparison of alternative formulations of 3-dimensional magnetic-field and eddy-current problems at power frequencies
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工频下 3 维磁场和涡流问题的替代公式比较
DOI：
10.1049/piee.1977.0211
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发表时间：
1977
影响因子：
2.9
通讯作者：
C. Carpenter
中科院分区：
文献类型：
--
作者：
C. Carpenter
三维涡流的数值计算由于需要使用矢量函数来描述互连磁通和电流分布而变得复杂。这三个矢量分量是耦合的，特别是通过铜和铁表面施加的条件，以及材料特性的其他变化。磁和电的矢量势的选择范围进行检查，包括作为特定的例子，和H矢量，它表明，问题的制定是很大的影响，由规范的选择，或矢量势发散。这引入了可以以各种方式使用的标量势。它们控制矢量分量之间的耦合条件。电矢势或广义H公式的一个优点是，可以选择规范，使得导体外部的矢量为零，并由标量代替。磁矢势公式通常不太吸引人，因为矢量必须在整个感兴趣的区域进行计算，并且因为磁界面和电界面条件的复杂性更高。
The numerical calculation of 3-dimensional eddy currents is complicated by the need to use vector functions to describe the interlinked flux and current distributions. The three vector components are coupled, particularly by the conditions imposed by the copper and iron surfaces, and by other changes in material properties. The range of choice of magnetic and electric vector potentials is examined, including the ℰ and H vectors as particular examples, and it is shown that the problem formulation is greatly affected by the choice of gauge, or vector-potential divergence. This introduces scalar potentials which can be used in various ways. They control the coupling conditions between the vector components. One advantage of an electric vector potential, or generalised H, formulation is that the gauge can be chosen so that the vector is zero outside the conductors, and is replaced by a scalar. Magnetic vector-potential formulations are generally less attractive, both because the vector has to be computed throughout the region of interest and because of the greater complexity of the magnetic-and electric-interface conditions.