Dynamic Performance of Lumped Parameter Model for Superconducting Levitation

This paper presents modeling and validation testing of the 3-D lumped parameter translational model, which describes the dynamics of a levitated permanent magnet over an array of bulk high-temperature superconductors. Previous model development and verification focused on measuring the static force-displacement curve of a magnet over a single-grain bulk superconductor. The methodology presented in this paper uses multiple multigrain yttrium barium copper oxide superconducting bricks, which is more relevant to actual bearing and magnetic levitation designs, and a larger cylindrical permanent magnet. The dynamic step input response of the system is evaluated. These tests show that, with proper consideration of brick and grain boundaries, the lumped parameter method can be used to describe the dynamic behavior and local translational stiffness of a levitated permanent-magnet assembly.