Constrained nonlinear model predictive control for centrifugal compressor system surge including piping acoustic using closed coupled valve

ABSTRACT This paper deals with nonlinear model predictive control scheme for surge prevention in centrifugal compressors systems. To bring up the effects of the station’s piping system on the compressor surge, nonlinear dynamic of compression system is considered that involve acoustic of compressor system. Close-coupled-valve (CCV), as a common control input in compression systems, is considered as an actuator and the mathematical model describing the flow dynamic of compression system is derived in the presence of CCV. For controlling the compressor system surge instability, nonlinear model predictive control (NMPC) is applied, whose allow to consider constraints on CCV actuator and states of system, significantly enlarge the operating region of the compressor and enhance the authority of the control system. Numerical simulations show that the proposed control system is able to meet the desired specifications in avoiding and active control of surge, in the presence of different types of disturbances occurring along the pipeline.

[1]  Jan Tommy Gravdahl,et al.  Compressor Surge and Rotating Stall , 1999 .

[2]  K. Weddfelt,et al.  Fast Pipeline Models for Simulation of Hydraulic Systems , 1994 .

[3]  Zongli Lin,et al.  An Enhanced Greitzer Compressor Model Including Pipeline Dynamics and Surge , 2011 .

[4]  Naoto Hagino,et al.  Prediction and Active Control of Surge Inception in Centrifugal Compressor System without Plenum , 2005 .

[5]  Edward M. Greitzer,et al.  Surge and Rotating Stall in Axial Flow Compressors—Part I: Theoretical Compression System Model , 1976 .

[6]  B. de Jager Rotating stall and surge control: a survey , 1995 .

[7]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[8]  Jan Tommy Gravdahl,et al.  Drive torque actuation in active surge control of centrifugal compressors , 2002, Autom..

[9]  Mehrdad H. Farahani,et al.  A neural network-based sliding-mode control for rotating stall and surge in axial compressors , 2011, Appl. Soft Comput..

[10]  Riccardo Marino,et al.  Nonlinear control design: geometric, adaptive and robust , 1995 .

[11]  G. Price,et al.  Pressure Oscillations Occurring in a Centrifugal Compressor System With and Without Passive and Active Surge Control , 1994 .

[12]  Eyad H. Abed,et al.  High-gain feedback control of rotating stall in axial flow compressors , 2002, Autom..

[13]  Edward M. Greitzer,et al.  1997 Best Paper Award—Controls and Diagnostics Committee: Active Stabilization of Rotating Stall and Surge in a Transonic Single-Stage Axial Compressor , 1998 .

[14]  Frank Willems Modeling and control of compressor flow instabilities , 1996 .

[15]  Edward M. Greitzer,et al.  Active suppression of aerodynamic instabilities in turbomachines , 1989 .

[16]  Jan Tommy Gravdahl,et al.  Bond graph modeling of centrifugal compression systems , 2015, Simul..

[17]  J. P. Longley,et al.  A review of nonsteady flow models for compressor stability , 1994 .

[18]  Jan Tommy Gravdahl,et al.  Piston-actuated active surge control of centrifugal compressor including integral action , 2011, 2011 11th International Conference on Control, Automation and Systems.

[19]  W. E. Tobler,et al.  Dissipative Modal Approximation of Fluid Transmission Lines Using Linear Friction Model , 1991 .

[20]  Eyad H. Abed,et al.  Bifurcation Analysis of Surge and Rotating Stall in Axial Flow Compressors , 1990, 1990 American Control Conference.

[21]  K. Hansen,et al.  Experimental and Theoretical Study of Surge in a Small Centrifugal Compressor , 1981 .

[22]  Alan H. Epstein,et al.  Active Stabilization of Rotating Stall and Surge in a Transonic Single Stage Axial Compressor , 1997 .

[23]  James D. Paduano,et al.  Rotating Stall Control in a High-Speed Stage With Inlet Distortion: Part I — Radial Distortion , 1998 .

[24]  B. de Jager,et al.  Active compressor surge control using a one-sided controlled bleed/recycle valve , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[25]  Klaus Brun,et al.  Impact of Piping Impedance and Acoustic Characteristics on Centrifugal Compressor Surge and Operating Range , 2015 .

[26]  Mrdjan J. Jankovic,et al.  Constructive Nonlinear Control , 2011 .

[27]  P. Kokotovic,et al.  Adaptive nonlinear design with controller-identifier separation and swapping , 1995, IEEE Trans. Autom. Control..

[28]  Paul E. Allaire,et al.  Experimental Evaluation of a Surge Controller for an AMB Supported Compressor in the Presence of Piping Acoustics , 2014, IEEE Transactions on Control Systems Technology.

[29]  G. Bartolini,et al.  Compressor surge active control via throttle and CCV actuators. A second-order sliding-mode approach , 2008, 2008 International Workshop on Variable Structure Systems.

[30]  Cecil R. Sparks On the Transient Interaction of Centrifugal Compressors and Their Piping Systems , 1983 .

[31]  Petar V. Kokotovic,et al.  Useful nonlinearities and global stabilization of bifurcations in a model of jet engine surge and stall , 1998, IEEE Trans. Autom. Control..

[32]  Ag Bram de Jager,et al.  Dynamic model including piping acoustics of a centrifugal compression system , 2007 .

[33]  Jan Tommy Gravdahl,et al.  Compressor Surge and Rotating Stall: Modeling and Control , 1998 .

[34]  Peter Kuster,et al.  Nonlinear And Adaptive Control Design , 2016 .

[35]  Jan Tommy Gravdahl,et al.  Centrifugal compressor surge and speed control , 1999, IEEE Trans. Control. Syst. Technol..

[36]  Edward M. Greitzer,et al.  Surge and Rotating Stall in Axial Flow Compressors—Part II: Experimental Results and Comparison With Theory , 1976 .