论文标题
带有铁磁底物的涂层导体的薄外壳模型
Thin shell model of a coated conductor with a ferromagnetic substrate
论文作者
论文摘要
带有磁性底物的涂层导体是薄的多层结构。它们的高纵横比和非线性材料特性在数值模拟中遇到了重大困难。使用涂层导体的高宽度与厚度比，我们基于超导层的无限薄近似值来得出模型的积分公式，并为磁性基板提供了准依依的薄壳近似。提出的模型描述了带有磁性底物的涂层导体的电磁响应，并且比现有模型要简单得多。单个无量纲参数表征具有有限的磁渗透性和有限厚度的底物。用于数值解决方案的准确有效的Chebyshev光谱方法。研究了磁底物对超导电流和交流损耗的影响。在限制情况下，我们的模型解决方案倾向于已知的分析解决方案。
Coated conductors with magnetic substrates are thin multilayer structures; their high aspect ratio and nonlinear material properties present significant difficulties for numerical simulation. Using the high width-to-thickness ratio of coated conductors we derive an integral formulation for a model based on an infinitely thin approximation for the superconducting layer and a quasistatic thin shell approximation for the magnetic substrate. The proposed model describes electromagnetic response of a coated conductor with a magnetic substrate and is much simpler than the existing models. A single dimensionless parameter characterizes the substrate having a finite magnetic permeability and a finite thickness. An accurate and efficient Chebyshev spectral method is derived for numerical solution. The influence of a magnetic substrate on the superconducting current and AC losses is investigated. In the limiting cases our model solution tends to the known analytical solutions.
