Scaling Solution and [Formula Omitted] Dependence of the Eddy-Current Distribution in a Flat Superconductor

In this paper, we propose an approximate analytical solution of the problem of nonlinear diffusion of the current density in a high-temperature superconducting plate with current transport. It is obtained by the technique of self-similar solution. The construction of this solution highlights a characteristic time of penetration [Formula Omitted] whose limit for large [Formula Omitted] is the model of Bean. We compare our solution to the ones obtained using COMSOL multiphysics. We study the influence of variation of the magnetic induction on time penetration and the influence of the [Formula Omitted] factor on time penetration.