Numerical Electromagnetic Analysis for Applied Superconductivity III

— Superconductivity and Electromagnetic Analysis —

Abstract

In this paper, we describe a numerical method for an electromagnetic phenomenon in type-II superconductors containing pins. Models of type-II superconductors containing pins use the eddy current problem of Maxwell's equations together with nonlinear constitutive relationships between the electric field (E) and the current density (J). The E-J relationship must lead to basic phenomena of superconductors such as the zero-resistance, flux flow, flux creep, hysteresis and magnetization. As typical models of the E-J relationship in superconductors, the critical state model, the power law “n-value model” and the percolation model are presented. Additionally, as an example, we introduce a superconducting slab, a magnetic shielding type of superconducting fault current limiter and a screening field in a HTS pancake coil.