Passivity-based Control of Surge and Rotating Stall in Axial Flow Compressors

Gholam-Reza Sari, Ouassima Akhrif, Lahcen Saydy

Abstract

In this work, we address the stability of compression systems and the active control of performance limiting phenomena: surge and rotating stall. Despite considerable efforts to stabilize axial compressors at efficient operating points, preventing and suppressing rotating stall and surge are still challenging problems. Due to certain passivity properties of the widely used Moore and Greitzer model for axial compressors, a robust passivity-based control approach is applied here to tackle the problem. The main advantage of this approach is that robust stabilization and high performance control can be achieved by simple control laws and limited control efforts. Analytical developments and time-domain simulations demonstrate that the developed control laws can effectively damp out rotating stall and surge limit cycles by throttle and close-coupled valve actuations. The robust performance of the controller is validated in the presence of bounded mass flow and pressure disturbances, as well as model uncertainties.

References

  1. Bao J., Lee P. L., 2007. Process control, Springer, 1st edition.
  2. Bartolini, G., Muntoni, A., Pisano, A., Usai, E., 2008. Compressor surge active control via throttle and CCV actuators. A second-order sliding-mode approach. In IEEE 10th International Workshop on Variable Structure Systems, VSS'08, June 2008, (pp. 274-279). Antalya, Turkey.
  3. Byrnes, C. I., Isidori, A., Willems, J. C., 1991. Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems. IEEE Transactions on Automatic Control, 36, 1228-1240.
  4. Dussourd J.L., Pfannebecker G.W. , Singhania, S.K., 1977. An experimental investigation of the control of surge in radial compressors using close coupled resistances. Journal of Fuids Engineering : Trans. ASME, 99, 64-76.
  5. Gravdahl J. T., 1998. Modeling and control of surge and rotating stall in compressors. Norwegian University of Science and Technology, Trondheim.
  6. Gravdahl J. T., Egeland O., 1998. Two results on compressor surge control with disturbance rejection. In Proceedings of the 37th IEEE Conference on Decision and Control, 1998. (Vol. 3, pp. 2563-2568).
  7. Gu, G., Sparks, A., Banda, S. S., 1999. An overview of rotating stall and surge control for axial flow compressors. IEEE Transactions on Control Systems Technology, 7, 639-647.
  8. Hos C., Champneys A., Kullmann L., 2003. Bifurcation analysis of surge and rotating stall in the MooreGreitzer compression system. IMA J. Applied Math, 68(2): 205-228.
  9. Krstic, M., Ioannis, K., Petar, K., 1995. Nonlinear and adaptive control design. John Wiley and Sons, Inc.
  10. Krstic M., Wang H., 1997. Control of deep-hysteresis aeroengine compressors - Part II: design of control laws. In Proceedings of the 1997 American Control Conference, June 1997, Vol. 2, pp. 1003-1007, Albuquerque, USA.
  11. Leonessa A., Chellaboina V., Haddad W., 1997. Globally stabilizing controllers for multi-mode axial flow compressor models via equilibria-dependent Lyapunov functions. In Proceedings of the 1997 IEEE International Conference on Control Applications, October 1997 (pp. 63-68). Hartford, USA.
  12. Liaw, D., Ren, S. M., Chang, S., 2008. A feedback linearization design for compressor's surge control. In Industrial Technology, ICIT 2008 (pp. 1-6).
  13. Lin W., Shen, T., 1999. Robust passivity and feedback design for minimum-phase nonlinear systems with structural uncertainty. Automatica, 35, 35-47.
  14. Mansoux C. A., Gysling D. L., Setiawan J. D., Paduano J. D., 1994. Distributed nonlinear modeling and stability analysis of axial compressor stall and surge. American Control Conference, Volume: 2, 2305- 2316.
  15. Moore, F. K., Greitzer, E. M., 1986. Theory of post-stall transients in axial compression systems: part I - development of equations. Journal of Engineering for Gas Turbines and Power, 108, 68-76.
  16. Sepulchre R., Jankovic M., Kokotovic P. V., 1997. Constructive nonlinear control. Springer-Verlag, New York.
  17. Shehata, R. S., Abdullah, H. A., Areed, F., 2009. Variable structure surge control for constant speed centrifugal compressors. Control Engineering Practice, 17, 815- 833.
  18. Simon J. S., Valavani L., 1991. A Lyapunov based nonlinear control scheme for stabilizing a basic compression system using a close-coupled control valve. In Proceedings of the 1991 American Control Conference, June 1991 (Vol. 3, pp. 2398-2406). Boston, USA.
  19. Tsai C., Wu H., 2009. Robust passivity-based control of weakly minimum phase nonlinear uncertain systems: An application to manipulator. In 2009 7th Asian Control Conference, ASCC 2009 (pp. 919-924).
  20. Willems F., 1997. Modeling and control of compressor flow instabilities. Eindhoven University of Technology.
  21. Willems J. C., 2007. Dissipative dynamical systems. European Journal of Control, 13:134- 151.
  22. Jiang, Z. P., Hill D. J., 1998. Passivity and disturbance attenuation via output feedback for uncertain nonlinear systems. IEEE Transactions on Automatic Control, 43, 992-997.
Download


Paper Citation


in Harvard Style

Sari G., Akhrif O. and Saydy L. (2016). Passivity-based Control of Surge and Rotating Stall in Axial Flow Compressors . In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-198-4, pages 75-83. DOI: 10.5220/0005975500750083


in Bibtex Style

@conference{icinco16,
author={Gholam-Reza Sari and Ouassima Akhrif and Lahcen Saydy},
title={Passivity-based Control of Surge and Rotating Stall in Axial Flow Compressors},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2016},
pages={75-83},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005975500750083},
isbn={978-989-758-198-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Passivity-based Control of Surge and Rotating Stall in Axial Flow Compressors
SN - 978-989-758-198-4
AU - Sari G.
AU - Akhrif O.
AU - Saydy L.
PY - 2016
SP - 75
EP - 83
DO - 10.5220/0005975500750083