TY - JOUR

T1 - Analysis of Electromagnetic Force and Torque in High-Tc Superconducting Levitation Based on the Advanced Mirror Image Method

AU - Sugiura, Toshihiko

AU - Uematsu, Yoshitaka

PY - 2000

Y1 - 2000

N2 - This research deals with theoretical evaluation of electromagnetic force and torque acting on a permanent magnet (PM) above a high-Tc superconductor (HTSC). While, as one potential application of HTSC magnetic levitation, HTSC bearings for energy storage flywheels are expected, it has not yet been theoretically clear whether HTSC levitation can work as an efficient bearing. In this research, force and torque acting on a PM above a HTSC were evaluated by the advanced mirror image method, which is based on the fact that magnetic flux at the field-cooling is trapped in type-II superconductors. Numerical results based on the above method showed good agreements with experimental ones. For a magnetic dipole over a flat ideal HTSC, the exact analytical solution of the force and torque was obtained as functions of the displacement and the Euler angle. This solution shows that the force and torque acting on the PM are theoretically equivalent to ones acting on a rigid body supported by an overhung elastic shaft, and gives the magnetic flexural rigidity of the HTSC levitation.

AB - This research deals with theoretical evaluation of electromagnetic force and torque acting on a permanent magnet (PM) above a high-Tc superconductor (HTSC). While, as one potential application of HTSC magnetic levitation, HTSC bearings for energy storage flywheels are expected, it has not yet been theoretically clear whether HTSC levitation can work as an efficient bearing. In this research, force and torque acting on a PM above a HTSC were evaluated by the advanced mirror image method, which is based on the fact that magnetic flux at the field-cooling is trapped in type-II superconductors. Numerical results based on the above method showed good agreements with experimental ones. For a magnetic dipole over a flat ideal HTSC, the exact analytical solution of the force and torque was obtained as functions of the displacement and the Euler angle. This solution shows that the force and torque acting on the PM are theoretically equivalent to ones acting on a rigid body supported by an overhung elastic shaft, and gives the magnetic flexural rigidity of the HTSC levitation.

KW - Electromagnetic Force

KW - Electromagnetic Torque

KW - High-Tc Superconductor

KW - Magnetic Flexural Rigidity

KW - Magnetic Levitation

KW - Magnetic Stiffness

KW - Mirror Image

KW - Nonlinear Restoring Force

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U2 - 10.1299/kikaic.66.1138

DO - 10.1299/kikaic.66.1138

M3 - Article

AN - SCOPUS:0042413787

SN - 0387-5024

VL - 66

SP - 1138

EP - 1145

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

IS - 644

ER -