Vortex shaking study with use of linear voltage–current law

Abstract Experiments show that the application of an AC magnetic field parallel to a thin superconductor tape can reduce the magnetization caused by screening currents. A theory has been developed by Sakamoto and Brandt stating that a DC electric field is generated during the application of the AC magnetic field and leads to the decay of the screening currents through the homogenization of the current density within the tape. The DC electrical field has the same direction as the current lines and is linear with the current density magnitude. First, we perform numerical simulations via a finite difference method in MATLAB to compute the effects of such a DC electrical field and its linear law and compare it with the widely used power law on two different cases an infinitely long thin tape and a single tape solenoid. We then study the effects of vortex-shaking computed with both laws on a coil made of several turns.