Analytical & Numerical Modelings of Elliptical Superconducting Filament Magnetization

Abstract

This paper deals with the two-dimensional computation of magnetization in an elliptic superconducting filament by using numerical and analytical methods. The numerical results are obtained from the finite element method and by using Bean's model. This model is well adapted for Low T c superconductor studies. We observe the effect of the axis ratio and of the field angle to the magnetic moment per unit length at saturation, and also to the cycle of magnetization. Moreover, the current density and the distribution of the electromagnetic fields in the superconducting filament are also studied.

A superconductor material model for hysteresis losses computation

“…However, when these materials are subjected to a variation of an external magnetic field, they react so as to protect their interiors from this variation. With this intention, the shielding currents are generated at their periphery [1]. Due to the variation of magnetic field with time, an electric field exists leading to Joule effect.…”