Development of a one-dimensional modular dynamic model for the simulation of surge in compression systems

Journal of Turbomachinery

Volumn 129, Issue 3, 2007, Pages 437-447

  Morini, M ^a   Pinelli, M ^a   Venturini, Mauro ^a  

^a UNIVERSITY OF FERRARA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; MATLAB; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; RUNGE KUTTA METHODS; SENSITIVITY ANALYSIS;

EQUATIONS OF ENERGY; EQUATIONS OF MASS; EQUATIONS OF MOMENTUM; ONE-DIMENSIONAL MODULAR DYNAMIC MODEL;

COMPRESSORS;

COMPRESSORS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; MATLAB; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; RUNGE KUTTA METHODS; SENSITIVITY ANALYSIS;

EID: 34548212706     PISSN: 0889504X     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2447757     Document Type: Article

References (57)

1. Greitzer, E. M., 1976, "Surge and Rotating Stall in Axial Flow Compressor: Part 1, Theoretical Compression System Model" ASME J. Eng. Power, 98, pp. 190-198.
2. Moore, F. K., and Greitzer, E. M., 1986, "A Theory of Post-Stall Transients in Axial Compression Systems: Part I-Development of Equations," ASME J. Eng. Gas Turbines Power, 108, pp. 68-76.
3. Fink, D. A., Cumpsty, N. A., and Greitzer, E. M., 1992, "Surge Dynamics in a Free-Spool Centrifugal Compressor System," ASME J. Turbomach., 114, pp. 321-332.
4. Mansoux, C. A., Gysling, D. L., Setiawan, J. D., and Paduano, J. D., 1994, "Distributed Nonlinear Modeling and Stability Analysis of Axial Compressor Stall And Surge," Proceedings of American Control Conference, Baltimore, MD, June 29-July 1, pp. 2305-2316.
5. McCaughan, F. E., 1989, "Application of Bifurcation Theory to Axial Flow Compressor Instability," ASME J. Turbomach., 111, pp. 426-433.
6. McCaughan, F. E., 1990, "Bifurcational Analysis of Axial Flow Compressor Stability," SLAM J. Appl. Math., 50(5), pp, 1232-1253.
7. Hös, C., Champneys, A., and Kullmann, L., 2003, "Bifurcational Analysis of Surge and Rotating Stall in the Moore-Greitzer Compression System," IMA J. Appl. Math., 68(2), pp. 205-228.
8. Vaidya, U., Ananthkrishnan, N., and Walimbe, V., 2000, "Nonlinear Control of Surge and Stall in Axial Flow Compressor," Proceedings of the 5th National Conference on Airbreathing Engines and Aerospace Propulsion (NCABE 2000), Hyderabad, India, December 21-23, pp. 102-110.
9. Humbert, J. S., and Krener, A. J., 1998, "Dynamics and Control of Entrained Greitzer Compressor Models," Int. J. Control, 71(5), pp. 807-821.
10. D'Andrea, R., Behnken, R. L., and Murray, R. M., 1997, "Rotating Stall Control of an Axial Flow Compressor using Pulsed Air Injection," ASME J. Turbomach., 119(4), pp. 742-752.
11. Protz, M., and Paduano, J. D., 1997, "Rotating Stall and Surge: Alternate Modeling and Control Concepts," Proceedings of the 1997 International Conference on Control Application, Hartford, CN, October 5-7, pp. 866-873.
12. Gravdahl, J. T., 1998, "Modeling and Control of Surge and Rotating Stall in Compressors," Ph.D. thesis, Norwegian University of Science and Technology, Trondheim, Norway.
13. Arnulfi, G., L., Giannattasio, P., Giusto, C., Massardo, A. F., Micheli, D., and Pinamonti, P., 1998, "Multistage Centrifugal Compressor Surge Analysis: Part II - Numerical Simulation and Dynamic Control Parameters Evaluation," ASME J. Turbomach., 121, pp. 312-320.
14. Arnulfi, G. L., Giannattasio, P., Micheli, D., and Pinamonti, P, 2001, "An Innovative Device for Passive Control of Surge in Industrial Compression Systems," ASME J. Turbomach., 123, pp. 473-482.
15. Li, M., and Zheng, Q., 2004, "Wet Compression System Stability Analysis. Part I - Wet Compression Moore Greitzer Transient Model," ASME Paper No. GT 2004-54018.
16. Hale, A. A., and Davis, M. W., 1992, "DYNamic Turbine Engine Compressor Code DYNTECC-Theory and Capabilities," AIAA-92-3190, Proceedings of 28th AIAA/SAE/ASME/ASEE Joint Propulsion Conference and Exhibit, Nashville, TN, July 6-8.
17. Owen, A. K., Daugherty, A., Garrard, D., Reynolds, H. C., and Wright, R. D., 1999, "A Parametric Starting Study of an Axial-Centrifugal Gas Turbine Engine Using a One-Dimensional Dynamic Engine Model and Comparisons to Experimental Results: Part I-Model Development and facility Description," ASME J. Eng. Gas Turbines Power, 121, pp. 377-383.
18. Owen, A. K., Daugherty, A., Garrard, D., Reynolds, H. C., and Wright, R. D., 1999, "A Parametric Starting Study of an Axial-Centrifugal Gas Turbine Engine Using a One-Dimensional Dynamic Engine Model and Comparisons to Experimental Results: Part II-Simulation Calibration and Trade-Off Study," ASME J. Eng. Gas Turbines Power, 121, pp. 384-393.
19. Owen, A. K., and Davis, M. W., Jr., 1994, "Modeling The Dynamic Behavior of an Axial-Centrifugal Compression System," AIAA-94-2802, Proceedings of 30th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Indianapolis, IN, June 27-29.
20. Cousins, W. T., 1996, "The Dynamics of Stall and Surge Behavior in Axial-centrifugal Compressors," Ph.D. thesis, Virginia Polytechnic Institute and State University, Blacksburg, VA.
21. Theotokatos, G., and Kyrtatos, N. P., 2003, "Investigation of a Large High-Speed Diesel Engine Transient Behavior Including Compressor Surging and Emergency Shutdown," ASME J. Eng. Gas Turbines Power, 125, pp. 580-589.
22. Theotokatos, G., and Kyrtatos, N. P., 2001, "Diesel Engine Transient Operation with Turbocharger Compressor Surging," SAE Paper No. 2001-01-1241.
23. Schmitz, M. B., and Fitzky, G., 2004, "Surge Cycle of Turbochargers: Simulation and Comparison to Experiments," ASME Paper No. GT 2004-53036.
24. Botha, B. W., du Toit, B., and Rousseau, P. G., 2003, "Development of a Mathematical Compressor Model to Predict Surge in a Closed Loop Brayton Cycle," ASME Paper No. GT 2003-38795.
25. Hahn, A., 2000, "Modeling and control of Solid Oxide Fuel Cell-Gas Turbine Power Plant Systems," Ph.D. thesis, University of Pittsburgh, Pittsburgh, PA.
26. Hildebrandt, A., Genrup, M., and Assadi, M., 2004, "Steady-State and Transient Compressor Surge Behaviour Within a SOFC-GT-Hybrid System," ASME Paper No. GT 2004-53892.
27. Botros, K. K., Campbell, P. J., and Mah, D. B., 1991, "Dynamic Simulation of Compressor Station Operation Including Centrifugal Compressor and Gas Turbine," ASME J. Eng. Gas Turbines Power, 113, pp. 300-311.
28. Botros, K. K., 1994, "Transient Phenomena in Compressor Stations During Surge," ASME J. Eng. Gas Turbines Power, 116, pp. 133-142.
29. Botros, K. K., Jungowski, W. M., and Richards, D. J., 1996, "Compressor Station Recycle System Dynamics During Emergency Shutdown," ASME J. Eng. Gas Turbines Power, 118, pp. 641-653.
30. Bakken, L. E., Bjørge, T., Bradley, T. M., and Smith, N., 2002, "Validation of Compressor Transient Behaviour," ASME Paper No. GT-2002-30279.
31. Tveit, G. B., Bjørge, T., and Bakken, L. E., 2005, "Impact of Compressor Protection System on Rundown Characteristics," ASME Paper No. GT 2005-68436.
32. Ohanian, S., and Kurz, R., 2001, "Series or Parallel Arrangement in a Two-Unit Compression Station," ASME Paper No. 2001-GT-0230.
33. Gravdahl, J. T., and Egeland, O., 1997, "A Moore-Greitzer Axial Compressor Model with Spool Dynamics," Proceedings of the 36th IEEE Conference on Decision and Control San Diego, CA, December 10-12, pp. 4714-4719.
34. Emmons, H. W., Pearson, C. E., and Grant, H. P., 1955, "Compressor Surge and Stall Propagation," Trans. ASME, 77, pp. 455-469.
35. Koff, S. G., and Greitzer, E. M., 1984, "Stalled Flow Performance for Axial Compressors-I: Axisymmetric Characteristics," ASME Paper No. 84-GT-93.
36. Greitzer, E. M., 1976, "Surge and Rotating Stall in Axial Flow Compressor: Part 2, Experimental Results and Comparison with Theory," ASME J. Eng. Power, 98, pp. 199-211.
37. Toyama, K., Runstadler, P. W., Jr., and Dean, R. C., Jr., 1976, "An Experimental Study of Surge in Centrifugal Compressors," ASME J. Fluids Eng., 99, pp. 115-131.
38. Lawless, P. B., Frey, K. K., and Fleeter, S., 1997, "Rotating Stall Spatial Domain Characterization in Axial and Centrifugal Compressors," Turbomachinery Fluid Dynamics and Heat Transfer, Marcel Dekker, New York, pp. 367-382.
39. Arnulfi, G. L., Giannattasio, P., Giusto, C., Massardo, A. F., Micheli, D., and Pinamonti, P., 1998, "Multistage Centrifugal Compressor Surge Analysis: Part I-Experimental Investigation," ASME J. Turbomach., 121, pp. 305-311.
40. Hoss, B., Leinhos, D., and Fottner, L., 1998, "Stall Inception in the Compressor System of a Turbofan Engine," ASME Paper No. 98-GT-475.
41. Nurzia, F., Palomba, C., and Puddu, P., 2000, "Experimental Investigation of Stall in a Two Stage Compressor," ASME Paper No. 2000-GT-0571.
42. Skoch, G. J., 2003, "Experimental Investigation of Centrifugal Compressor Stabilization Techniques," J. Turbomach. 125, pp. 704-713.
43. Horodko, L., 2005, "Investigation of Centrifugal Compressor Surge with Wavelet Methods," Proceedings of 6th Conference on TURBOMACHINERY Fluid Dynamics and Thermodynamics, Lille, France, March 7-11.
44. Gravdahl, J. T., and Egeland, O., 1999, Compressor Surge and Rotating Stall Modeling and Control, Springer, London.
45. Tavakoli, S., Griffin, I., and Fleming, P., 2004, "An Overview of Compressor Instabilities: Basic Concepts and Control," Proceedings of the 16th IFAC International Symposium on Automatic Control in Aerospace, St. Petersburg, Russia, June 14-18.
46. Vachtsevanos, G., Kang, H., Cheng, J., and Kim, I., 1992, "Detection and Identification of Axial Flow Compressor Instabilities," J. Guid. Control Dyn., 15, pp. 1216-1223.
47. Kurz, R., and White, R. C., 2004, "Surge avoidance in gas compression systems," ASME J. Turbomach., 126, pp. 501-506.
48. Hansen, K. E., Jorgensen, P., and Larsen, P. S., 1981, "Experimental and Theoretical Study of Surge in a Small Centrifugal Compressor," ASME J. Fluids Eng., 103, pp. 391-394.
49. Niazi, S., 2000, "Numerical Simulation of Rotating Stall and Surge Alleviation in Axial Compressors," Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.
50. Venturini, M., 2005, "Development and Experimental Validation of a Compressor Dynamic Model," ASME J. Turbomach., 127(3), pp. 599-608.
51. Batchelor, G. K., 1973, An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge, UK.
52. Backus, G., 1997, Continuum Mechanics, Samizdat Press, USA.
53. Gong, Y., 1999, "A Computational Model for Rotating Stall and Inlet Distortion in Multistage Compressors," Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
54. Bettocchi, R., Pinelli, M., and Spina, P. R., 2005, "A MultiStage Compressor Test Facility: Uncertainty Analysis and Preliminary Test Results," ASME J. Eng. Gas Turbines Power, 127(1), pp. 170-177.
55. Fink, D. A., 1988, "Surge Dynamics and Unsteady Flow Phenomena," Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
56. Van Essen, H. A., and de Lange, H. C., 2001, "Nonlinear Model Predictive Control Experiments on a Laboratory Gas Turbine Installation," ASME J. Eng. Gas Turbines Power, 123, pp. 347-352.
57. Šilhavý, M., 1997, The Mechanics and Thermodynamics of Continuous Media, Springer, Berlin, Germany.