Abstract
Cross stiffness is usually defined as a change in the vertical force when the levitating body moves a small lateral displacement in a high-temperature superconductor (HTS) magnetic levitation system. In most of the existing research reports, the improvement of the levitation stiffness is usually focused on the radial (lateral) and axial (vertical) stiffnesses. The cross stiffness should be studied carefully because it can be used to analyze the stability and dynamical properties of the HTS levitations. In this paper, the quantitative properties of the cross stiffness have been investigated by a numerical method. The variations of the cross stiffness at different lateral positions are analyzed for some physical and geometrical parameters, cooling conditions and movement history of a levitated permanent magnet. The reasons for the characteristics of the cross stiffness can be obtained by the vertical force–lateral displacement curves with some minor loops under different parameters and cooling conditions.
Published Version
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