Flux distribution and hysteresis loss in a round superconducting wire for the complete range of flux penetration

Abstract

Flux distributions are determined numerically for quasistatic conditions within the Bean model. The field penetration ranges from 0 to 100%. The moving boundary of this distribution is calculated using an optimization technique to force the field component on the boundary to vanish, the variables being the parameters describing the boundary curve. The hysteresis loss is found using the flux distribution for a variable field superposed on a constant bias; the two fields are parallel to each other and transverse to the wire axis.

The Bean Model in Superconductivity: Variational Formulation and Numerical Solution

“…To solve the problem portional to the vortex density. At a close to zero tempera-numerically, several ''front-tracking'' algorithms have ture, the distribution of magnetic vortices in type-II been developed [10][11][12]. Such algorithms can be very accusuperconductors is determined by the balance of electro-rate and also efficient for problems with simple free boundmagnetic driving forces and forces pinning vortices to ma-aries.…”

AC transport current loss in a coated superconductor in the Bean model

“…the Bean model) is introduced. This solution is much different than one might expect from a comparison with the applied magnetic-field case [12], mainly because of a surface charge which exists on the conductor when a transport current flows [13]. For this reason both a vector potential A and a scalar potential / must be considered, and the electric field is obtained from E ¼ À _ A À r/ where the dot indicates a time derivative.…”

Current profiles and ac losses of a superconducting strip with an elliptic cross-section in a perpendicular magnetic field

“…However, the assumption of the constant axis was shown to be incorrect in computations of cylindrical wires in transverse field [4], spheres and spheroids [5,6] and also thick strips [7], where it was shown that field profiles detach from the surface.…”

“…Ashkin [4] developed a numerical technique to calculate current penetration profiles by forcing the field on the current penetration profile to vanish. Although the magnetic field in the current-free region was zero, as required by critical-state model, with a precision of only around 10 %, the current profiles results showed a tendency towards a spindle shape (similar to the profiles shown in solid line in Fig.…”