Abstract

In this work, the TA3 thermoacoustic network is presented and used to simulate acoustic pulsations occurring in a heavy-duty ALSTOM gas turbine. In our approach, the combustion system is represented as a network of acoustic elements corresponding to hood, burners, flames and combustor. The multi-burner arrangement is modeled by describing the hood and combustor as Multiple Input Multiple Output (MIMO) acoustic elements. The MIMO transfer function (linking acoustic pressures and acoustic velocities at burner locations) is obtained by a three-dimensional modal analysis performed with a Finite Element Method. Burner and flame analytical models are fitted to transfer function measurements. In particular, the flame transfer function model is based on the time-lag concept, where the phase shift between heat release and acoustic pressure depends on the time necessary for the mixture fraction (formed at the injector location) to be convected to the flame. By using a state-space approach, the time domain solution of the acoustic field is obtained. The nonlinearity limiting the pulsation amplitude growth is provided by a fuel saturation term. Furthermore, Helmholtz dampers applied to the gas turbine combustor are acoustically modeled and included in the TA3 model. Finally, the predicted noise reduction is compared to that achieved in the engine.

1.
Paschereit, C. O., Flohr, P., and Schuermans, B., 2001, “Prediction of Combustion Oscillations in Gas Turbine Combustors,” AIAA Paper 2001-0484, Reno, NV, January 8–11.
2.
Akamatsu, S., and Dowling, A., 2001, “Three-Dimensional Thermoacoustic Oscillations in a Premix Combustor,” ASME Paper 2001-GT-0034, New Orleans, LA, June 8–11.
3.
Dowling
,
A. P.
, and
Stow
,
S. R.
,
2003
, “
Modal Analysis of Gas Turbine Combustor Acoustics
,”
J. Propul. Power
,
19
, pp.
751
764
.
4.
Schuermans, B., Bellucci, V., and Paschereit, C. O., 2003, “Thermoacoustic Modeling and Control of Multi Burner Combustion Systems,” ASME Paper GT-2003-38688, Atlanta, GE, June 16–19.
5.
Pankiewitz, C., and Sattelmayer, T., 2002, “Time Domain Simulation of Combustion Instabilities in Annular Combustors,” ASME Paper GT-2002-30063, Amsterdam, The Netherlands, June 3–6.
6.
Evesque, S., and Polifke, W., 2002, “Low-Order Acoustic Modelling for Annular Combustors: Validation and Inclusion of Modal Coupling,” ASME Paper GT-2002-30064, Amsterdam, The Netherlands, June 3–6.
7.
Schuermans, B., Polifke, W., and Paschereit, C. O., 1999, “Modeling Transfer Matrices of Premixed Flames and Comparison with Experimental Results,” ASME Paper 1999-GT-0132, Indianapolis, IN, June 7–10.
8.
Schuermans, B., Bellucci, V., Nowak, D., and Paschereit, C. O., 2002, “Modelling of Complex Thermoacoustic Systems: A State-Space Approach,” 9th International Congress on Sound and Vibration, Orlando, FL, July 8–11.
9.
Morse, P. M., and Ingard, K., 1968, Theoretical Acoustics, McGraw-Hill, New York.
10.
Fahy
,
F. J.
, and
Schofield
,
C.
,
1980
, “
A Note on the Interaction Between a Helmholtz Resonator and an Acoustic Mode of an Enclosure
,”
J. Sound Vib.
,
72
, pp.
365
378
.
11.
Bellucci, V., Paschereit, C. O., Flohr, P., and Magni, F., 2001, “Acoustic Pulsations in Industrial Gas Turbines,” ASME Paper 2001-GT-0039, New Orleans, LA, June 8–11.
12.
Paschereit, C. O. et al., 2002, “Combustion Control by Extended EV Burner Fuel Lance,” ASME Paper GT-2002-30462, Amsterdam, The Netherlands, June 3–6.
13.
SYSNOISE 5.4 Documentation, 1999, LMS International, Brussels, Belgium.
14.
Bellucci, V., Paschereit, C. O., and Flohr, P., 2002, “Impedance of Perforated Screens with Bias Flow,” AIAA Paper 2002–2437, Breckenridge, CO, June 17–19.
15.
Chu, B. T., 1953, “On the Generation of Pressure Waves at a Plane Flame Front,” Fourth Symposium (International) on Combustion, Massachusetts Institute of Technology, pp. 603–612.
16.
Bellucci, V., Schuermans, B., Paschereit, C. O., and Flohr, P., 2001, “Thermoacoustic Simulation of Lean Premixed Flames Using an Enhanced Time-Lag Model,” AIAA Paper 2001-2794, Anaheim, CA, June 11–14.
17.
Tijdeman
,
H.
,
1975
, “
On the Propagation of Sound Waves in Cylindrical Tubes
,”
J. Sound Vib.
,
39
, pp.
1
33
.
18.
Using MATLAB Version 6, 1999, MathWorks, Natick, MA.
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