高温超导悬浮系统的磁刚度研究

Magnetic stiffness of a high-temperature superconducting levitation system

基于Ampère环路定律和Bean临界态模型,通过分析超导体内部屏蔽电流穿透深度的变化,考虑高温超导悬浮系统的强磁滞特性和磁化历史,讨论了系统的磁刚度.针对实验和计算方法中与磁刚度密切相关的小滞回距离选取标准展开讨论,给出了合理的小滞回距离范围;指出磁刚度曲线具有明显的滞回性质,这主要源于超导悬浮系统的磁滞特性;详细讨论系统物理与几何参数(如临界电流密度、超导体厚度和半径等)对磁刚度的影响.计算结果可以为高温超导悬浮系统的稳定性设计提供有效可行的方法和参考依据.

Based on Ampere circulation law and Bean＇s critical model, the magnetic stiffness of high-temperature superconducting levitation system was investigated by considering the changes in the penetration depth of shielding currents in superconductors. The characteristics of strong magnetic hysteresis and magnetization history of the levi- tation system were considered in the discussion and the size standard of mini-loop relative to magnetic stiffness was analyzed. A reasonable range of min-loop was shown, which was expected to gain magnetic stiffness in theoretical analyses or experiments. The hysteresis characteristic of magnetic stiffness was presented, which was determined by the magnetization hysteresis of superconducting levitation systems. The dependence of magnetic stiffness on physical and geometrical parameters of system was analyzed, such as the critical current density constant, the thickness and radius of superconductors. The results are expected to guide the stability design for superconducting levitation systems.