Modeling of magnetization and levitation force of HTS tapes in magnetic fields of complex configurations

In many levitation systems superconductors are used in combination with permanent magnets. In this paper we considered three types of magnetic assemblies that are most often used: with magnets oriented in one direction, oppositely oriented magnets and the Halbach array. Based on the H-formalism, we performed modeling of a magnetic field and levitation force in a system consisting of the high temperature superconductor (HTS) tape stack and the assembly of permanent magnets. It was shown that if a spatial distribution of a gradient magnetic field changes in height it is necessary to take into account the magnetic history of the superconductor. The proposed computational model includes a combination of scalar and vector potentials, as well as modeling the real movement of an HTS tape stack in a levitation system. The simulation results were verified by corresponding experiments. The proposed approach is universal for modeling levitation systems of complex configurations.