Analytical Methods and Formulas for Modeling High Temperature Superconductors
Analytical Methods and Formulas for Modeling High Temperature Superconductors
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DOI：
10.1109/tasc.2013.2245504
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发表时间：
2013-03
影响因子：
1.8
通讯作者：
G. Mikitik;Y. Mawatari;A. Wan;F. Sirois
中科院分区：
文献类型：
--
作者：
G. Mikitik;Y. Mawatari;A. Wan;F. Sirois
本文在准静态极限下研究了第二类超导体的电动力学问题，即所谓临界态的概念对超导体的适用性。我们回顾了用于描述高温超导材料的各种形状特征的超导体中的临界态的分析技术和公式。特别是，它是如何解释薄平面超导体的3-D临界状态问题可以减少到更简单的2-D问题。在这种方法中，在一个薄的无限长的超导带材的临界状态解析描述不仅在最简单的情况下，恒定的临界电流密度JC，但也在各向异性磁通线钉扎的情况下，并为简单的模型依赖JC上的磁场大小。我们还提出了与铁磁衬底的超导带和各种阵列的超导带的传输电流或在一个外部磁场中的临界状态问题的解析解。特别地，所讨论的条带的配置之一可以模拟超导电力传输电缆。我们还描述了具有幂律伏安特性的II型超导体的电动力学方程的一些解析解。
The electrodynamics of type-II superconductors is considered in the quasi-static limit when the concept of the so-called critical state is well applicable to the superconductors. We review analytical techniques and formulas used to describe the critical states in the superconductors of the various shapes characteristic of high-temperature superconducting materials. In particular, it is explained how 3-D critical-state problems for thin planar superconductors can be reduced to more simple 2-D problems. Within this approach, the critical states in a thin infinitely long superconducting strip are analytically described not only in the simplest case of a constant critical current density jc but also in the case of anisotropic flux-line pinning and for simple model dependence of jc on the magnetic-field magnitude. We also present the analytical solutions of the critical-state problem for superconducting strips with ferromagnetic substrates and for various arrays of superconducting strips with a transport current or in an external magnetic field. In particular, one of the discussed configurations of the strips can model superconducting power transmission cables. We also describe some analytical solutions of the electrodynamic equations for type-II superconductors with power-law voltage-current characteristics.