Spin-up instability of electromagnetically levitated spherical bodies

Spin-up instability of electromagnetically levitated spherical bodies

Stability of a solid sphere in both uniform and linear alternating magnetic fields is considered with respect to virtual rotations. When the frequency of the alternating magnetic field exceeds a certain critical threshold depending on the configuration of the field, the sphere is found to spin up ar...

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Bibliographic Details
Published in:IEEE transactions on magnetics Vol. 36; no. 1; pp. 349 - 353
Main Authors: Priede, J., Geroeth, G.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01-01-2000
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Applied sciences
Coils
Conductors
Disturbances
Electrical engineering. Electrical power engineering
Exact sciences and technology
Frequency
Heating
High frequencies
Induction motors
Instability
Magnetic analysis
Magnetic fields
Magnetic levitation
Magnetic levitation, propulsion and control devices
Magnetism
Miscellaneous
Nonlinearity
Rotational
Solids
Stability
Stability analysis
Various equipment and components
Alternating field
Spherical shape
Stability
Theoretical study
Electromagnetic force
Magnetic force
Magnetic field
Magnetic suspension
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Summary:Stability of a solid sphere in both uniform and linear alternating magnetic fields is considered with respect to virtual rotations. When the frequency of the alternating magnetic field exceeds a certain critical threshold depending on the configuration of the field, the sphere is found to spin up around a horizontal axis. The physical mechanism of this instability is the same as that of operation of a single-phase induction motor. Sufficiently small rotational disturbances can be completely suppressed by imposing an axial steady magnetic field of strength comparable to that of the alternating field. Nonlinear stability analysis shows that for sufficiently high frequencies, spin-up can be caused by large disturbances even when all infinitesimal disturbances are stable.
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ISSN:0018-9464
1941-0069
DOI:10.1109/20.822545