Modeling of electrophysical properties of bulk high-temperature superconductors in calculations of magnetic systems

Advanced macroscopic models of electrical properties of materials that are represented by a set of transport and associated currents and identified, respectively, by the resistive current model and nonlinear hysteretic magnetization model are proposed in order to calculate magnetic systems with the bulk high-temperature superconductor (HTS) elements. Such models allow a more accurately reproduced behavior of superconductors in the electromagnetic field of simply and multiply connected domains in various HTS transition regimes to the superconducting state. The paper presents the results of the compared combined and resistive models of the HTS properties. The proposed models enable us to reproduce the nonlinear, anisotropic, and hysteretic properties of superconductors in a wide range of parameter variation on a macroscopic scale and can be recommended for their application in numerical analysis of electromagnetic fields. The results of the calculations allow the parameter determination methods for the combined model from the experimental data to be substantiated.