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首页> 外文期刊>IEEE Transactions on Magnetics >Scalar-based finite element modelling of 3D eddy currents in thin moving conducting sheets
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Scalar-based finite element modelling of 3D eddy currents in thin moving conducting sheets

机译：薄运动导电片中基于标量的3D涡流有限元建模

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摘要

A number of electromagnetic devices contain geometries which prove to be challenging when modelled using finite elements. One type of complexity may be a physical dimension which is significantly smaller than the others. For example, a design of maglev coil-track systems may involve the use of relatively thin track sheets of finite widths and extensive lengths. A new set of formulations is presented for the 3D eddy current finite element analysis of thin moving conducting sheets. The conducting sheet, moving at a constant linear velocity in the direction of the sheet plane, is modelled using two scalar quantities, T and the normal component of the magnetic flux density. The second scalar, B/spl middot, is introduced to maintain a second order partial differential equation system. Scalar potentials are used to model the nonconducting regions. This scheme, implemented for time-harmonic cases, is compared with the more usual A-/spl psi/ method using a computer model, and force predictions agree favourably. In the DC limit, it is possible to eliminate the T variable, thereby retaining only the B/spl middot scalar in the sheet description. Two experimental test problems serve to illustrate drag and lift force predictions obtained using the two new schemes, T-B/spl middot-/spl psi/ and B/spl middot-/spl psi/, and the more usual moving A-/spl psi/ formulation.
机译：许多电磁设备包含的几何形状在使用有限元建模时被证明具有挑战性。一种复杂性可以是物理维度，其显着小于其他维度。例如，磁悬浮线圈轨道系统的设计可能涉及使用有限宽度和较长长度的相对较薄的轨道板。提出了一套新的公式，用于薄运动导电片的3D涡流有限元分析。使用两个标量T和磁通量密度的法线分量对在导电片上以恒定线速度在导电片平面方向上移动进行建模。引入第二标量B / spl middot / n来维持二阶偏微分方程系统。标量势用于模拟非导电区域。将这种针对时谐情况实施的方案与使用计算机模型的更常见的A- / spl psi /方法进行比较，并且力的预测是一致的。在DC限制中，可以消除T变量，从而在图纸说明中仅保留B / spl中点/ n标量。两个实验测试问题用来说明使用两种新方案TB / spl middot / n- / spl psi /和B / spl middot / n- / spl psi /获得的阻力和升力预测，以及更常见的移动A- / spl psi /配方。

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