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Stability Analyses of Magnetic Levitation Tables Using Repulsions of Permanent Magnets  

Choe, Gi-Bong (한국기계연구원 지능형정밀기계연구부 로봇제어그룹)
Jo, Yeong-Geun (미래산업주식회사 미래연구센터)
Tadahiko Shinshi (동경공업대학(일본) 정밀공학연구소)
Akira Shimokohbe (동경공업대학(일본) 정밀공학연구소)
Publication Information
Abstract
This paper presents two actuators for levitation using repulsions of permanent magnet and two magnetic levitation tables using the actuators. Here, one actuator for levitation consists of one fixed magnet and one moving magnet, and the other actuator consists of two fixed magnets and one moving magnet. The moving part of the magnetic levitation table contains the moving magnets. repulsive forces caused by the permanent magnets are linearized, and then the equation of motion of the moving part of the table is derived. Using the equation of motion, stability conditions of the moving part are deduced. The stability conditions are analyzed for positional relations of the moving magnets and the minimum number of active control required for stable system. As a result, in the each case of magnetic levitation tables, the requirements for stabilization are expressed by the positional relations and the number of the active controls.
Keywords
Permanent magnet; Repulsion; Virtual spring; Magnetic levitation; Stability condition;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Mukhopadhyay S.C., Ohji T., Iwahara M., Yamada S., Matsumura F., 'Disturbance attenuation and H∞ control of repulsive type magnetic bearing,' IEEE Transactions on Magnetics, Vol. 33, No. 5, pp. 4233-4235, 1997   DOI   ScienceOn
2 Carabelli S., Delprete C., Genta G., Zanolli S., 'Control of a two active-axes suspension for maglev vehicles,' Proceedings of the American Control Conference, Albuquerque, New Mexico, pp. 3962-3966, 1997
3 최기봉, 김수현, 곽윤근, '컴플라이언스를 갖는 웨이퍼 탐침 시스템용 미동 매니퓰레이터,' 한국정밀공학회지, Vol. 14, No. 9, pp. 68-79, 1997   과학기술학회마을
4 Ebihara D, Suzuki R. 'The repulsive characteristics of the PM-type magnetic levitation device,' T. IEE Japan, Vol. 108-D, No. 5, pp. 455-460, 1988
5 김종식, 선형 제어시스템 공학, 청문각, 1996
6 Polgreen G., 'Rail-ways with magnetic suspension,' The Engineer, Vol. 226, pp. 632-636, 1968
7 Carabelli S., Cerruti F., Delprete C., Majo F.D., Genta G., Zanolli S., 'A two active-axes suspension for maglev vehicles,' Proc. of the 5th International Symposium on Magnetic Bearings, Kanazawa, Japan, pp. 357-362, 1996
8 Berry M.V., 'The Levitron$^{TM}$: an adiabatic trap for spins,' Proceedings of The Royal Society of London, Vol.A 452, pp. 1207-1220, 1996
9 Jayawant B. V., 'Electromagnetic suspension and levitation techniques,' Proceedings of The Royal Society of London, Vol. A 416, pp. 245-320, 1988
10 Kagan D., 'Building a magnetic levitation toy,' Physics Teacher, Vol. 31, pp. 432-433, 1993   DOI   ScienceOn
11 Simon M.D., Heflinger L.O., Ridgway S.L., 'Spin stabilized magnetic levitation,' Vol. 65, No. 4, pp. 286-292, 1997   DOI   ScienceOn
12 Jones T.B., Washizu M., Gans R. 'Simple theory for the Levitron$^{\circledR}$,' Journal of Applied Physics, Vol. 82, No. 2, pp. 883-888, 1997   DOI   ScienceOn