“Speed and surge control for a lower order centrifugal compressor model”

Authors: Jan T. Gravdahl and Olav Egeland,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1998, Vol 19, No 1, pp. 13-29.

Keywords: Centrifugal compressor, modelling, surge control, speed control

Abstract: A model of a variable speed centrifugal compression system is presented. The model is based on the work of Greitzer (1976), but the compressor characteristic is developed by modelling the losses in the compressor. For surge control, a close coupled valve is employed. This valve is placed immediately downstream of the compressor, and the pressure drop over the valve is used as the control variable. This makes it possible to manipulate the shape of the equivalent compressor, consisting of compressor and valve. The speed of the compressor is controlled with a PI-controller. Semi-global exponential stability of the model with the proposed controllers is proven by the use of Lyapunovs theorem.

PDF PDF (1846 Kb)        DOI: 10.4173/mic.1998.1.2

DOI forward links to this article:
[1] D.-C. Liaw, C.-C. Song and J.-T. Huang (2004), doi:10.1109/TCST.2004.833611
[2] Steffen Dehn, Christian Duelk, Sharath Srinivas and Avi Anthony Cornelio (2011), doi:10.4271/2011-01-1742
[3] Gholamreza Sari, Ouassima Akhrif and Lahcen Saydy (2013), doi:10.1109/ASCC.2013.6606321
[4] Xin Wu and Yaoyu Li (2007), doi:10.1109/ACC.2007.4283023
[5] S. M. Zanoli, G. Astolfi and L. Barboni (2010), doi:10.1109/SYSTOL.2010.5676023
[6] S. M. Zanoli, G. Astolfi and L. Barboni (2010), doi:10.1109/MED.2010.5547615
[7] S.M. Zanoli, G. Astolfi and L. Barboni (2010), doi:10.3182/20100915-3-IT-2017.00071
[8] Silvia M. Zanoli and Giacomo Astolfi (2013), doi:10.1155/2013/189359
[9] A. Plucenio, J. Normey-Rico, C. Vettorazzo, M. M. Campos and M. Lopes De Lima (2017), doi:10.4043/28129-MS
[10] A. Hafaifa, F. Laaouad and K. Laroussi (2010), doi:10.3103/S0146411610010074
[11] A. Sodemann, Y. Li, J. Lee, R. Lancaster, M. Rucker, J. Carnagie and A. Inman (2006), doi:10.1115/IMECE2006-13103
[12] Jose Ricardo Bermudez Santaella, Oscar Javier Suarez Sierra and Juan Jose Cabello Eras (2024), doi:10.1590/1517-7076-rmat-2023-0267
[1] BALJÉ, O.E. (1952). A contribution to the problem of designing radial turbomachines, Transactions of the ASME, 74, 451-472.
[2] CUMPSTY, N.A. (1989). Compressor Aerodynamics, Longman.
[3] DE JAGER, B. (1995). Rotating stall and surge control: A survey, In Proceedings of the 35th Conference on Decision and Control. New Orleans, LA. pp. 1857-1862.
[4] DIXON, S. L. (1978). Thermodynamics of turbomachinery, 3rd ed., Pergamon Press.
[5] 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 Fluids Engineering, 99, 64-76.
[6] EVEKER, K.M. NETT C.N. (1991). Model development for active surge control rotating stall avoidance in aircraft gas turbine engines, In Proceedings of the 1991 American Control Conference. pp. 3166-3172.
[7] FERGUSON, T.B. (1963). The centrifugal compressor stage, Butterworths, London.
[8] FINK, D.A., CUMPSTY, N.A. GREITZER, E.M. (1992). Surge dynamics in a free-spool centrifugal compressor system, Journal of Turbomachinery, 114, 321-332 doi:10.1115/1.2929146
[9] GRAVDAHL, J.T. EGELAND, O. (1997). A Moore-Greitzer axial compressor model with spool dynamics, Accepted as a regular paper to the 36th IEEE Conference on Decision and Control.
[10] GRAVDAHL, J.T. EGELAND, O. (1997). Compressor surge control using a close-coupled valve and backstepping, In Proceedings of the 1997 American Control Conference, Albuquerque, NM.
[11] GRAVDAHL, J.T. EGELAND, O. (1997). Control of the three-state Moore-Greitzer compressor model using a close-coupled valve, In Proceedings of the 1997 European Control Conference.
[12] GRAVDAHL, J.T. EGELAND, O. (1997). Passivity based compressor surge control using a close-coupled valve, In A. Isidori and F. Allgöwer, editors, Proceedings of the 1997 COSY Workshop on Control of Nonlinear and Uncertain Systems. Zurich, Switzerland. pp. 139-143.
[13] GREITZER, E.M. (1976). Surge and Rotating stall in axial flow compressors - Part I: Theoretical compression system model, Journal of Engineering for Power, 98, 190-198.
[14] GREITZER, E.M. (1981). The stability of pumping systems - The 1980 Freeman scolar lecture, Journal of Fluids Engineering, 103, 193-242.
[15] JUNGOVSKI, W.M., WEISS, M.H. PRICE, G.R. (1996). Pressure oscillations occuring in a centrifugal compressor system with and without passive and active surge control, Journal of Turbomachinery, 118, 29-40.
[16] HANSEN, K.E., JØRGENSEN, P. LARSEN, P.S. (1981). Experimental and theoretical study of surge in a small centrifugal compressor, Journal of Fluids Engineering, 103, 391-394.
[17] PINSLEY, J.E., GUENETTE, G.R., EPSTEIN, A.H. GREITZER, E.M. (1991). Active stabilization of centrifugal compressor surge, Journal of Turbomachinery, 113, 723-732 doi:10.1115/1.2929139
[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. pp. 2398-2406.
[19] SIMON, J.S., VALAVANI, L., EPSTEIN, A.H. GREITZER, E.M. (1993). Evaluation of approaches to active compressor surge stabilization, Journal of Turbomachinery, 115, 57-67 doi:10.1115/1.2929218
[20] VAN DE WAL, M., WILLEMS, F. DE JAGER, B. (1997). Selection of actuators and sensors for active surge control, Accepted as a regular paper to 1997 IEEE Conference on Control Applications.
[21] WATSON, N. JANOTA, M.S. (1982). Turhocharging the internal combustion engine, MacMillan.
[22] WHITE, F.M. (1986). Fluid mechanics, 2nd ed..McGraw-Hill, New York.

  title={{Speed and surge control for a lower order centrifugal compressor model}},
  author={Gravdahl, Jan T. and Egeland, Olav},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}