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Precise Braking Torque Control for Momentum Flywheels Based on a Singular Perturbation Analysis

  • Zhou, Xinxiu (School of Instrument Science and Optoelectronic Engineering, Beihang University) ;
  • Su, Dan (Department of Mechanical and Biomedical Engineering, City University of Hong Kong)
  • Received : 2016.09.30
  • Accepted : 2017.03.06
  • Published : 2017.07.20

Abstract

Momentum flywheels are widely applied for the generation of small and precise torque for the attitude control and inertial stabilization of satellites and space stations. Due to its inherited system nonlinearity, the tracking performance of the flywheel torque/speed in dynamic/plug braking operations is limited when a conventional controller is employed. To take advantage of the well-separated two-time-scale quantities of a flywheel driving system, the singular perturbation technique is adopted to improve the torque tracking performance. In addition, the composite control law, which combines slow- and fast- dynamic portions, is derived for flywheel driving systems. Furthermore, a novel control strategy for plug braking dynamics, which considers couplings between the Buck converter and the three-phase inverter load, is designed with easy implementation. Finally, experimental results are presented to demonstrate the correctness of the analysis and the superiority of the proposed methods.

Keywords

References

  1. D. Su and G. Liu, "The use of complex variables and frequency characteristics for stability analysis of magnetically suspended flywheels," Proc IMechE, Part I: J Systems and Control Engineering. Vol. 227, No. 9, pp. 674-685, Sep. 2013. https://doi.org/10.1177/0959651813500951
  2. W. Y. Zhou, D. Li, Q. Luo, and J. P. Jiang. "Design and test of a soft suspension system for cantilevered momentum wheel assembly," Proc IMechE, Part G: J Aerospace Engineering, Vol. 227, No. 7, pp. 1144-1160, Jun. 2013. https://doi.org/10.1177/0954410012451415
  3. C. Peng and J. C. Fang, "High-precision control for double-gimbal magnetically suspended control moment gyro via composite anti-disturbance control," Proc IMechE, Part G: J Aerospace Engineering, Vol. 229, No. 7, pp. 1183-1193, Aug. 2014.
  4. R. Varatharajoo, C. T. Wooi, and M. Mailah. "Attitude pointing enhancement for combined energy and attitude control system," Acta Astronautica, Vol. 68, pp. 2025-2028, Jun. 2011. https://doi.org/10.1016/j.actaastro.2010.11.006
  5. X. X. Zhou, J. C. Fang, and G. Liu. "Precise braking torque control for attitude control flywheel with small inductance brushless DC motor," IEEE Trans. Power Electron, Vol. 28, No. 11, pp. 5380-5390, Nov. 2013. https://doi.org/10.1109/TPEL.2013.2244617
  6. J. C. Fang, X. X. Zhou, and G. Liu, "Instantaneous torque control of small inductance brushless DC motor," IEEE Trans. Power Electron, Vol. 27, No. 12, pp. 4952-4964, Dec. 2012 https://doi.org/10.1109/TPEL.2012.2193420
  7. J. C. Fang, X. X. Zhou, and G. Liu. "Precise accelerated torque control for small inductance brushless DC motor," IEEE Trans. Power Electron, Vol. 28, No. 3, pp. 1400-1412, Nov. 2013. https://doi.org/10.1109/TPEL.2012.2210251
  8. M. Conte, "Supercapacitors technical requirements for new applications," Fuel Cells, Vol. 10, No. 5, pp. 806-818, Dec. 2010. https://doi.org/10.1002/fuce.201000087
  9. J. K. Ahn, K. H. Jung, D. H. Kim, H. B. Jin, H. S. Kim, and S. H. Hwang, "Analysis of a regenerative braking system for hybrid electric vehicles using an electro-mechanical brake," Int. J. Automot. Technol., Vol. 10, No. 2, pp.229-234, Apr. 2009. https://doi.org/10.1007/s12239-009-0027-z
  10. H. Seki, K. Ishihara, and S. Tadakuma, "Novel regenerative braking control of electric power-assisted wheelchair for safety downhill road driving," IEEE Trans. Ind. Electron, Vol. 56, No. 5, pp.1393-1400, May. 2009. https://doi.org/10.1109/TIE.2009.2014747
  11. X. Nian, F. Peng, and H. Zhang, "Regenerative braking system of electric vehicle driven by brushless DC motor," IEEE Trans. Ind. Electron, Vol. 61, No. 10, pp. 5798-5808, Jan. 2014 https://doi.org/10.1109/TIE.2014.2300059
  12. S. Vazquez, S. M. Lukic, E. Galvan, L. G. Franquelo, and J. M. Carrasco, "Energy storage systems for transport and grid applications," IEEE Trans. Ind. Electron, Vol. 57, No.12, pp.3881-3895, Dec. 2010 https://doi.org/10.1109/TIE.2010.2076414
  13. O. C. Onar and A. Khaligh. "A novel integrated magnetic structure based DC/DC converter for hybrid battery/ultracapacitor energy storage systems," IEEE Trans Smart Grid, Vol. 3, No.1, pp. 296-307, Mar. 2012. https://doi.org/10.1109/TSG.2011.2150250
  14. R. Varatharajoo and S. Fasoulas. "The combined energy and attitude control system for small satellites - Earth observation missions," Acta Astronautica, Vol. 56, No.1, pp.251-259, Jan. 2005. https://doi.org/10.1016/j.actaastro.2004.09.027
  15. P. V. Kokotovic, "Applications of singular perturbation techniques to control problems," SIAM review, Vol. 26, No. 4, pp. 501-550, Jul. 1984. https://doi.org/10.1137/1026104
  16. X. Zhang and Z. Lu. "A new BLDC motor drives method based on BUCK converter for torque ripple reduction," in IEEE 5th International Conference on Power Electronics and Motion Control, Vol. 3, pp. 1-4, 2006
  17. T. Lluis, D. B. Fernando, and G. B. Oriol, "Linear parameter-varying control of permanent magnet synchronous generators for wind power systems," IET Power Electron, Vol. 7, No. 3, pp. 692-704, Mar. 2014. https://doi.org/10.1049/iet-pel.2013.0149
  18. Q. Chen, J. Jiang, S. Liu, and C. Zhang, "A novel sliding mode observer for state of charge estimation of EV lithium batteries," Journal of Power Electronics, Vol. 16, No. 3, pp. 1131-1140, May 2016. https://doi.org/10.6113/JPE.2016.16.3.1131
  19. A. Abderrezak and K. Madjid, "Sensor fault detection, localization, and system reconfiguration with a sliding mode observer and adaptive threshold of PMSMs," Journal of Power Electronics, Vol. 16, No. 3, pp. 1012-1024, May 2016. https://doi.org/10.6113/JPE.2016.16.3.1012
  20. H. Wang, S. Li, J. Yang, and X. P. Zhou "Continuous sliding mode control for permanent magnet synchronous motor speed regulation systems under time-varying disturbances," Journal of Power Electronics, Vol. 16, No. 4, pp. 1324-1335, Jul. 2016. https://doi.org/10.6113/JPE.2016.16.4.1324
  21. Z. Wang, Y. Mao, Z. Hu, and Y. Xie "A sliding mode control design based on the reaching law for matrix rectifiers," Journal of Power Electronics, Vol. 16, No. 3, pp. 1122-1130, May 2016. https://doi.org/10.6113/JPE.2016.16.3.1122
  22. A. E. Ahmed, H. M. Schwartz, and V. C. Aitken, "Sliding mode control for singularly perturbed system," in 5th Asian Control Conference IEEE, Vol. 3, 2004.