三维模型下永磁轨道上超导体临界电流对磁悬浮力影响研究

Effect of Superconductor with Critical Current Above PMR on Levitating Force Based on 3D-modeling

采用数值计算方法对高温超导(HTSC)块材电磁场进行模拟,计算了永磁轨道(PMR)上方超导块材所受到的磁悬浮力。文中给出了一种3D数值计算。模型采用了电磁场磁矢量法(H-方法);基于Fortran语言开发平台编写了有限元求解代码;使用E-J幂指数模型来描述高温超导块材的电场强度E和电流密度J的关系;采用Kim模型来描述高温超导块材的临界电流密度Jc;使用了两块虚拟超导块材叠加的方法处理高温超导材料临界电流密度各向异性的特性。采用文中描述的数值计算方法,成功地对由一个永磁轨道和一块高温超导块材组成的磁悬浮系统进行了计算研究,研究了磁悬浮系统中超导块材的临界电流密度对磁悬浮力的影响。

In this paper, the electromagnetic field simulation of the high-temperature superconductors （HTS） bulk was carried out and the magnetic force between the permanent magnet railway （PMR） was calculated. Based on finite element method, a 3D-modeling numerical calculation method is described. The models were formulated with the magnetic field vector （H-method）. The resulting codes were developed with FORTRAN platform. The electric field intensity E and the current density J constitutive relation of HTS were described with E-J power law. Kim macro-model was used to describe critical current density Jc of HTS bulk. Two virtual HTS bulks were used to solve the critical current density Jc anisotropic properties of HTS materials. A superconducting levitation system composed of one HTS bulk and PMR was successfully investigated using the proposed method. By this method, the influence of critical current density on magnetic levitation force of the superconducting levitation system was mathematically studied.