Magnetic field and force analysis of high T/sub c/ superconductor with flux flow and creep

Accurate and Stable Numerical Method for Analyzing Shielding Current Density in High-Temperature Superconducting Film Containing Cracks

“…By solving the initial-boundary-value problem of (4), we can determine the time evolution of the scalar function S (x, t). Once S (x, t) is determined at each time, the shielding current density j(x, t) can be easily evaluated by using (1). Apparently, the above method for calculating j(x, t) is unaffected by the existence of cracks or holes.…”

“…Since the evaluation of the shielding current density is indispensable for the design of engineering applications, several numerical methods [1][2][3] have been so far proposed to calculate the shielding current density. However, almost all of them can be applied only to an HTS sample containing neither a hole nor a crack.…”

Numerical Method for Analyzing Shielding Current Density in HTS Film with Multiple-Layer/Multiply-Connected Structure

“…In general, HTS films have a strong anisotropy in the critical current density [1]: its component along the c-axis is negligibly small as compared with that parallel to the a-b plane. In order to take the anisotropy into account, we set the following two assumptions:…”

“…By assuming the thin-plate approximation, Yoshida et al [1] derived the governing equation of the shielding current density in an HTS film. However, the resulting equation contains z (a coordinate in the thickness direction) as a parameter so that its solution has z-dependence.…”

“…Since the evaluation of the shielding current density is often required for the design of engineering applications, several numerical methods [1][2][3] have been so far proposed to calculate the shielding current density.…”