Modeling of 3-D Currents in a Finite-Length Cylinder With Power-Law Current–Voltage Characteristics

Induced currents in the bulk superconducting cylinder of a finite length placed in a transverse magnetic field are calculated by the partial and complete separation of variables. The Fourier transform over the angular and axial coordinates reduces the problem to the solution of 1-D integral equations. The harmonic balance method is applied to account for the highly nonlinear constitutive relation between the voltage and current. The current and field distribution is compared with the results of a finite-element analysis (FEA). The approximation of the current distribution by a set of cylindrical and disk layers is presented. The magnetic moment of induced currents is analyzed in the increasing applied field when the cylinder is magnetized up to the state of saturation.