Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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Stability Analyses of Magnetic Levitation Tables Using Repulsions of Permanent Magnets

영구자석에 의한 반발형 자기부상 테이블의 안정성 해석

  • 최기봉 (한국기계연구원 지능형정밀기계연구부 로봇제어그룹) ;
  • 조영근 (미래산업주식회사 미래연구센터) ;
  • 신시타다히코 (동경공업대학(일본) 정밀공학연구소) ;
  • 시모코베아키라 (동경공업대학(일본) 정밀공학연구소)
  • Published : 2002.07.01
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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

References

  1. Jayawant B. V., 'Electromagnetic suspension and levitation techniques,' Proceedings of The Royal Society of London, Vol. A 416, pp. 245-320, 1988
  2. Kagan D., 'Building a magnetic levitation toy,' Physics Teacher, Vol. 31, pp. 432-433, 1993 https://doi.org/10.1119/1.2343831
  3. 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
  4. Simon M.D., Heflinger L.O., Ridgway S.L., 'Spin stabilized magnetic levitation,' Vol. 65, No. 4, pp. 286-292, 1997 https://doi.org/10.1119/1.18488
  5. 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 https://doi.org/10.1063/1.365856
  6. 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 https://doi.org/10.1109/20.619720
  7. Polgreen G., 'Rail-ways with magnetic suspension,' The Engineer, Vol. 226, pp. 632-636, 1968
  8. 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
  9. 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
  10. 최기봉, 김수현, 곽윤근, '컴플라이언스를 갖는 웨이퍼 탐침 시스템용 미동 매니퓰레이터,' 한국정밀공학회지, Vol. 14, No. 9, pp. 68-79, 1997
  11. 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
  12. 김종식, 선형 제어시스템 공학, 청문각, 1996