Method for determining the critical-state response of superconductors in tape geometry

Analysis of critical-state problems in type-II superconductivity

“…However, such a representation is not possible after the breaking point (see Fig. 10), and so only the first part of the solution [22] is correct.…”

“…As the last example, let us consider the magnetization of an infinite tape. A solution to this problem has been recently presented in [22] and we will use the same set of parameters. Let a coil of radius mm be parallel to the surface of an infinite superconducting tape of thickness 0.2 mm and placed at a height 0.4 mm above the tape surface.…”

“…11). In each subdomain, the limiting electric field satisfies the equation (22) and the continuity of this field is ensured by the condition (23) on the moving boundaries between the subdomains. Since (9) is a conservation law, at these free boundaries the following balance relation also holds:…”

“…1 As the penetration front reaches the tape lower surface, the front breaks into two parts. To account for this change of free boundary topology, Koo and Telschow [22] derived two different front-tracking algorithms, similar to that in [13]. For each value of coil current, the fronts were sought as the functions of radial coordinate .…”

Analytical model of the response of a superconducting film to line currents

“…14,15,16,17,18 Numerical computations of the nonlinear response of superconducting films to the inhomogeneous magnetic fields arising from small coils have been carried out in Refs. 11,19,20,21,22, but here we present analytic results for the nonlinear response to line currents above superconducting films.…”