On Active Surge Control of Compression Systems via Characteristic Linearization and Model Nonlinearity Cancellation

Yohannes S.M. Simamora; Harijono A. Tjokronegoro; Edi Leksono

doi:10.5614/j.eng.technol.sci.2014.46.3.8

Authors

Yohannes S.M. Simamora Mechanical Engineering Study Program, Politeknik Purbaya, Tegal
Harijono A. Tjokronegoro Engineering Physics Research Group, Institut Teknologi Bandung
Edi Leksono Engineering Physics Research Group, Institut Teknologi Bandung

DOI:

https://doi.org/10.5614/j.eng.technol.sci.2014.46.3.8

Abstract

A simple approach of active surge control of compression systems is presented. Specifically, nonlinear components of the pressure ratio and rotating speed states of the Moore-Greitzer model are transferred into the input vectors. Subsequently, the compressor characteristic is linearized into two modes, which describe the stable region and the unstable region respectively. As a result, the system's state and input matrices both appear linear, to which linear realization and analysis are applicable. A linear quadratic regulator plus integrator is then chosen as closed-loop controller. By simulation it was shown that the modified model and characteristics can describe surge behavior, while the closed-loop controller can stabilize the system in the unstable operating region. The last-mentioned was achieved when massflow was 5.38 per cent less than the surge point.

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References

Epstein, A.H., Ffowcs Williams, J. &Greitzer, E.M., Active Suppression of Aerodynamic Instabilities in Turbomachines,Journal of Propulsion and Power, 5(2), pp. 204-211, 1989.

Gravdahl, J.T. &Egeland, O., A Moore-Greitzer Axial Compressor Model withSpool Dynamics. In: Proc. of the 36th IEEE Conference on Decision and Control, San Diego, CA, 1997.

Willems, F., Modeling and Bounded Feedback Stabilization of Centrifugal Compressor Surge, PhD Thesis, TechnischeUniversiteit Eindhoven, Eindhoven, Netherlands, 2000.

Grong, T.S., Modeling of Compressor Characteristics and Active Surge Control, MS Thesis, Norwegian University of Science and Technology, Trondheim, Norway, 2009.

Gravdahl, J.T., Modeling and Control in Centrifugal Compressor, PhD thesis, Norwegian University of Science and Technology, 1998, Trondheim, Norway.

Leonessa, A., Haddad, W.M.&Li, H., Globally Stabilizing Switching Controllers for A Centrifugal Compressor Model with Spool Dynamics, IEEE Trans. Control Systems Technology, 8(3), pp. 474-482, 2000.

B",hagen, B.&Gravdahl, J.T., Active Surge Control of Compression System Using Drive Torque: A Backstepping Approach, In: Proc. of the 44th IEEE Conference on Decision and Control, Seville, Spain, 2005.

B",hagen, B.&Gravdahl, J.T., Active Surge Control of Compression System Using Drive Torque,Automatica, 44(4), pp.1135-1140,2008.

Uddin, N. &Gravdahl, J.T., Piston-actuated Active Surge Control of Centrifugal Compressor Including Integral Action, In: Proc. of the 11th International Conference on Control, Automation and Systems, Gyeonggi-do, Korea, 2011.

Gravdahl, J.T., Egeland, O. &Vatland, S.O., Drive Torque Actuation in Active Surge Control of Centrifugal Compressors, Automatica, 38 (2002), pp.1881-1893, 2002.

Khalil, H. Nonlinear Systems,Third Edition,Prentice-Hall,Upper-Saddle River, NJ, 2002.

Gravdahl, J.T., Willems, F., De Jager, B. &Egeland, O.,Modeling for Surge Control of Centrifugal Compressors: Comparison with Experiment, In: Proc. of the 39th IEEE Conference on Decision and Control, Sidney, Australia, 2000.

?strom, K.J.&Murray, R.M., Feedback Systems: An Introduction for Scientists and Engineers, Princeton University Press, Princeton, NJ, 2008.

Naidu, D.S., Optimal Control Systems, CRC Press,Boca Raton, FL,2003.

B",hagen, B.&Gravdahl, J.T.,On Active Surge Control of Compressors Using A Mass Flow Observer, In:Proc. of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, 2002.