Numerical simulation of inductive method for measuring critical current density of HTS bulk

Axisymmetric Simulation of Inductive Measurement Method for Critical Current Density in Bulk HTS: Relation Between Third Harmonic Voltage and Coil Current

“…Next, we investigate how the applied dc magnetic field affects the accuracy of the inductive method. To this end, three dimensionless quantities are defined as follows [8]:…”

“…Under the above assumptions, there exists a scalar function such that and its temporal variation is governed by the following simultaneous nonlinear integral-differential equations [5]: (7) where and denote the layer thickness and the applied magnetic flux density, respectively, and is an average operator over the thickness in the th layer. In addition, the integration kernel is given by (8) Here, denotes the complete elliptic integral of the first kind and its parameter is defined by (9) where is -coordinate of the central plane in the th layer.…”

Numerical simulation of inductive method for measuring critical current density: Dependence of accuracy on shape and configuration of coil

“…(4). By using the high-performance integration method, the authors recently developed an accurate numerical code [7,8] for solving the problem.…”

“…2(a)). To this end, two dimensionless quantities are defined as follows [8]: In terms of the above quantities, the relative error between j S C and j C0 can be written as…”