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

Toshihiko Sugiura, Yoshitaka Uematsu

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1138-1145
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume66
Issue number644
DOIs
Publication statusPublished - 2000

Fingerprint

Superconducting materials
Mirrors
Torque
Bearings (structural)
Permanent magnets
Magnetic levitation
Flywheels
Magnetic flux
Rigidity
Energy storage
Cooling

Keywords

  • Electromagnetic Force
  • Electromagnetic Torque
  • High-Tc Superconductor
  • Magnetic Flexural Rigidity
  • Magnetic Levitation
  • Magnetic Stiffness
  • Mirror Image
  • Nonlinear Restoring Force

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

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abstract = "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.",
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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.

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