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基于Norris方程和Bean临界态模型,考虑薄膜超导体内的磁场和电流密度分布特性,通过解析求解的方法推导出薄膜超导体在传输外加电流时其内部的磁场和电流密度以及传输交流损耗的解析表达式,从定量的角度研究超导体截面几何形状对传输交流损耗的影响.结果表明薄膜超导体边缘处的剧烈变化的磁场和电流的分布以及无场区的电流承载能力是影响传输交流损耗的主要原因.
Based on Norris equation and Bean critical state model, the magnetic field and current density distribution in thin film superconductor are considered. The analytical expressions of magnetic field and current density and transmission AC loss of thin film superconductor during the transfer of applied current are obtained by analytical solution , The influence of the cross-sectional geometry of the superconductor on transmission AC loss was studied quantitatively.The results show that the drastic changes of the magnetic field and the current distribution along the edge of the superconductor and the current carrying capacity of the field-free zone are the main factors affecting the AC loss.