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Mathematical Problems in Engineering
Volume 2013, Article ID 396740, 12 pages
http://dx.doi.org/10.1155/2013/396740
Research Article

Robust Active Disturbance Rejection Control Approach to Maximize Energy Capture in Variable-Speed Wind Turbines

Universidad Nacional de Colombia, Departamento de Ingeniería Eléctrica y Electrónica, Carrera 45 No. 26-85, Bogotá, Colombia

Received 19 April 2013; Accepted 30 May 2013

Academic Editor: Ming-Hung Hsu

Copyright © 2013 Horacio Coral-Enriquez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. Munteanu, A. I. Bratcu, N.-A. Cutululis, and E. Ceanga, Optimal Control of Wind Energy Systems, Springer, London, UK, 2008.
  2. F. D. Bianchi, R. S. Sánchez-Peña, and M. Guadayol, “Gain scheduled control based on high fidelity local wind turbine models,” Renewable Energy, vol. 37, no. 1, pp. 233–240, 2012. View at Publisher · View at Google Scholar · View at Scopus
  3. G. A. Parker and C. D. Johnson, “Improved speed regulation and mitigation of drive-train torsion fatigue in flexible wind turbines, using disturbance utilization control: part one,” in Proceedings of the 41st Southeastern Symposium on System Theory (SSST '09), pp. 171–176, March 2009. View at Scopus
  4. L. Y. Pao and K. E. Johnson, “Control of wind turbines: approaches, challenges, and recent developments,” IEEE Control Systems Magazine, vol. 31, no. 2, pp. 44–62, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  5. E. Iyasere, M. Salah, D. Dawson, J. Wagner, and E. Tatlicioglu, “Optimum seeking-based non-linear controller to maximise energy capture in a variable speed wind turbine,” IET Control Theory & Applications, vol. 6, no. 4, pp. 526–532, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  6. K. Pierce, “Control Method for Improved Energy Capture below Rated Power,” National Renewable Energy Laboratory NREL/CP-500-26322, 1999.
  7. K. A. Stol, “Disturbance tracking control and blade load mitigation for variable-speed wind turbines,” Journal of Solar Energy Engineering, Transactions of the ASME, vol. 125, no. 4, pp. 396–401, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. W. E. Leithead and B. Connor, “Control of variable speed wind turbines: design task,” International Journal of Control, vol. 73, no. 13, pp. 1189–1212, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  9. H. Vihriälä, R. Perälä, P. Mäkilä, and L. Söderlund, “A gearless wind power drive: part 2: performance of control system,” in Proceedings of the European Wind Energy Conference,, pp. 1090–1093, 2001.
  10. C. Evangelista, P. Puleston, F. Valenciaga, and A. Dávila, “Variable gains super-twisting control for wind energy conversion optimization,” in Proceedings of the 11th International Workshop on Variable Structure Systems (VSS '10), pp. 50–55, June 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. B. Beltran, M. E. H. Benbouzid, and T. Ahmed-Ali, “Second-order sliding mode control of a doubly fed induction generator driven wind turbine,” IEEE Transactions on Energy Conversion, vol. 27, pp. 261–269, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. C. Evangelista, P. Puleston, F. Valenciaga, and L. M. Fridman, “Lyapunov-designed super-twisting sliding mode control for wind energy conversion optimization,” IEEE Transactions on Industrial Electronics, vol. 60, pp. 538–545, 2013. View at Google Scholar
  13. M. Fliess, R. Marquez, E. Delaleau, and H. Sira-Ramírez, “Correcteurs proportionnels-intégraux généralisés,” ESAIM. Control, Optimisation and Calculus of Variations, vol. 7, pp. 23–41, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. A. Luviano-Juárez, J. Cortés-Romero, and H. Sira-Ramírez, “Synchronization of chaotic oscillators by means of generalized proportional integral observers,” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 20, no. 5, pp. 1509–1517, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. H. Sira-Ramírez and V. F. Batlle, “Robust Σ-Δ modulation-based sliding mode observers for linear systems subject to time polynomial inputs,” International Journal of Systems Science, vol. 42, no. 4, pp. 621–631, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  16. M. Fliess, R. Marquez, and E. Delaleau, “State feedbacks without asymptotic observers and generalized PID regulators,” in Nonlinear Control in the Year 2000, A. Isidori, F. Lamnabhi-Lagarrigue, and W. Respondek, Eds., vol. 258, pp. 367–384, Springer, Berlin, Germany, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. H. Sira-Ramírez, F. González-Montañez, J. Cortés-Romero, and A. Luviano-Juarez, “A disturbance rejection approach for the induction motor through observer based Generalized PI control,” in Proceedings of the American Control Conference, Fairmont Queen Elizabeth, Montréal, Canada, 2012.
  18. H. Sira-Ramírez, A. Luviano-Juárez, and J. Cortés-Romero, “Flatness-based linear output feedback control for disturbance rejection and tracking tasks on a Chua's circuit,” International Journal of Control, vol. 85, no. 5, pp. 594–602, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. H. Sira-Ramírez, A. Luviano-Juárez, and J. Cortés-Romero, “Robust input-output sliding mode control of the buck converter,” Control Engineering Practice, vol. 21, pp. 671–678, 2013. View at Google Scholar
  20. C. D. Johnson, “Accommodation of external disturbances in linear regulator and servomechanism problems,” IEEE Transactions on Automatic Control, vol. 16, no. 6, pp. 635–644, 1971. View at Google Scholar · View at Scopus
  21. J. Han, “From PID to active disturbance rejection control,” IEEE Transactions on Industrial Electronics, vol. 56, no. 3, pp. 900–906, 2009. View at Publisher · View at Google Scholar · View at Scopus
  22. G. Tian and Z. Gao, “From poncelet's invariance principle to active disturbance rejection,” in Proceedings of the American Control Conference (ACC '09), pp. 2451–2457, June 2009. View at Publisher · View at Google Scholar · View at Scopus
  23. Z. Gao, Y. Huang, and J. Han, “An alternative paradigm for control system design,” in Proceedings of the 40th IEEE Conference on Decision and Control (CDC '01), pp. 4578–4585, December 2001. View at Scopus
  24. B. Boukhezzar and H. Siguerdidjane, “Nonlinear control of a variable-speed wind turbine using a two-mass model,” IEEE Transactions on Energy Conversion, vol. 26, no. 1, pp. 149–162, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. P. F. Odgaard, J. Stoustrup, and M. Kinnaert, “Fault tolerant control of wind turbines—a benchmark model,” in Proceedings of the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, pp. 155–160, Barcelona, Spain, July 2009. View at Publisher · View at Google Scholar · View at Scopus
  26. G. A. Parker and C. D. Johnson, “Improved speed regulation and mitigation of drive-train torsion fatigue in flexible wind turbines, using disturbance utilization control: part two,” in Proceedings of the 41st Southeastern Symposium on System Theory (SSST '09), pp. 177–183, March 2009. View at Scopus
  27. L. B. Freidovich and H. K. Khalil, “Performance recovery of feedback-linearization-based designs,” IEEE Transactions on Automatic Control, vol. 53, no. 10, pp. 2324–2334, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  28. S. Zhao and Z. Gao, “An active disturbance rejection based approach to vibration suppression in two-inertia systems,” in Proceedings of the American Control Conference (ACC '10), pp. 1520–1525, July 2010. View at Scopus
  29. S. Zhao, Q. Zheng, and Z. Gao, “On model-free accommodation of actuator nonlinearities,” in Proceedings of the 10th World Congress on Intelligent Control and Automation, Beijing, China, 2012.
  30. Q. Zheng, Z. Chen, and Z. Gao, “A practical approach to disturbance decoupling control,” Control Engineering Practice, vol. 17, no. 9, pp. 1016–1025, 2009. View at Publisher · View at Google Scholar · View at Scopus
  31. C. Sloth, T. Esbensen, and J. Stoustrup, “Robust and fault-tolerant linear parameter-varying control of wind turbines,” Mechatronics, vol. 21, no. 4, pp. 645–659, 2011. View at Publisher · View at Google Scholar · View at Scopus
  32. P. F. Odgaard and K. E. Johnson, “Wind turbine fault detection and fault tolerant control-a second challenge,” in Proceedings of the 8th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, 2012.