Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Fault Tolerant Control of Homopolar Magnetic Bearings Using Flux Isolation

자속 분리법을 이용한 동극형 자기베어링의 고장강건 제어

  • 나언주 (경남대학교 기계자동화공학부)
  • Published : 2007.11.20
Download PDF
⟨ Previous Next ⟩

Abstract

The theory for a fault-tolerant control of homopolar magnetic bearings is developed. New coil winding law is utilized such that control fluxes are isolated for an 8-pole homopolar magnetic bearing. Decoupling chokes are not required for the fault tolerant magnetic bearing since C-core fluxes are isolated. If some of the coils or power amplifiers suddenly fail, the remaining coil currents change via a distribution matrix such that the same magnetic forces are maintained before and after failure. Lagrange multiplier optimization with equality constraints is utilized to calculate the optimal distribution matrix that maximizes the load capacity of the failed bearing. Some numerical examples of distribution matrices are provided to illustrate the theory. Simulations show that very much the same dynamic responses (orbits or displacements) are maintained throughout failure events while currents and fluxes change significantly.

Keywords

References

  1. Chang, I.-B. and Han, D.-C., 1995, 'Performance Study of Magnetic Bearing Considering the Performance Limit', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 5, No.1, pp.59-65
  2. Kang, M, S., 2004, 'Sliding Mode Control of an Active Magnetic Bearring System', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 14, No.5, pp.439-448 https://doi.org/10.5050/KSNVN.2004.14.5.439
  3. Maslen, E. H and Meeker, D. C, 1995, 'Fault Tolerance of Magnetic Bearings by Generalized Bias Current Linearization', IEEE Transactions on Magnetics, Vol. 31, pp.2304-2314 https://doi.org/10.1109/20.376229
  4. Maslen, E. H, Sortore, C K, Gillies, G. T., Williams, R. D., Fedigan, S. J. and Aimone, R. J., 1999, 'A Fault Tolerant Magnetic Bearings', ASME Journal of Engineering for Gas Turbines and Power, Vol. 121, pp.504-508 https://doi.org/10.1115/1.2818501
  5. Na, U. J. and Palazzolo, A. B., 2001, 'The Fault-tolerant Control of Magnetic Bearings With Reduced Controller Outputs', ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 123, pp. 219-224 https://doi.org/10.1115/1.1369356
  6. Meeker, D. C., 1996, Optimal Solutions to the Inverse Problem in Quadratic Magnetic Actuators. Ph. D. Dissertation, Mechanical Engineering, University of Virginia
  7. Sortore, C. K., Allaire, P. E., Maslen, E. H., Humphris, R. R. and Studer, P. A, 1990, 'Permanent Magnet Biased Magnetic Bearings Design, Construction and Testing', Proceedings of the Second International Symposium on Magnetic Bearings, pp. 175-182
  8. Maslen, E. H., Allaire, P. E., Noh, M. D. and Sortore, C. K., 1996, 'Magnetic Bearing Design for Reduced Power Consumption', ASME Journal of Tribology, Vol. 118, pp.839-846 https://doi.org/10.1115/1.2831617
  9. Lee, A C., Hsiao, F. Z. and Ko, D., 1994, 'Analysis and Testing of a Magnetic Bearing with Permanent Magnets for Bias', JSME International Journal, Series C, Vol. 37,pp. 774-782
  10. Lee, A C., Hsiao, F. Z. and Ko, D., 1994, 'Performance Limits of Permanent-magnet-biased Magnetic Bearings', JSME International Journal, Series C, Vol. 37, pp.783-794
  11. Fan, Y., Lee, A and Hsiao, F., 1997, 'Design of a Permanent/Electromagnetic Magnetic Bearing-controlled Rotor System', Journal of the Franklin Institute, Vol. 334B, pp.337-356
  12. Childs, D., 1993, Turbomachinery Rotordynamics, Wiley-Interscience