Considerable research and development efforts are required to meet the targets of future gas turbine technologies in terms of performance, emissions, and operational flexibility. One of the recurring problems is the constructive coupling between flames and combustor's acoustics. These thermoacoustic interactions can cause high-amplitude dynamic pressure limit cycles, which reduce the lifetime of the hot gas path parts or in the worst-case scenario destroy these mechanical components as a result of a sudden catastrophic event. It is shown in this paper that the dynamics and the statistics of the acoustic signal envelope can be used to identify the linear growth rates hidden behind the observed pulsations, and the results are validated against numerical simulations. This is a major step forward and it will contribute to the development of future gas turbine combustors, because the knowledge of these linear growth rates is essential to develop robust active and passive systems to control these combustion instabilities.
Issue Section:
Gas Turbines: Combustion, Fuels, and Emissions
References
1.
Lieuwen
, T.
, 2012
, Unsteady Combustor Physics
, Cambridge University Press
, New York
.2.
Noiray
, N.
, and Schuermans
, B.
, 2013
, “Deterministic Quantities Characterizing Noise Driven Hopf Bifurcations in Gas Turbine Combustor
,” Int. J. Non-Linear Mech.
, 50
, pp. 152
–163
.3.
Lieuwen
, T. C.
, 2003
, “Statistical Characteristics of Pressure Oscillations in a Premixed Combustor
,” J. Sound Vib.
, 260
(1
), pp. 3
–17
.4.
Seume
, J. R.
, Vortmeyer
, N.
, Krause
, W.
, Hermann
, J.
, Hantschk
, C.
, Zangl
, P.
, Gleis
, S.
, Vortmeyer
, D.
, and Orthmann
, A.
, 1998
, “Application of Active Combustion Instability Control to a Heavy Duty Gas Turbine
,” ASME J. Eng. Gas Turbines Power
, 120
(4
), pp. 721
–726
.5.
Noiray
, N.
, and Schuermans
, B.
, 2012
, “Theoretical and Experimental Investigations on Damper Performance for Suppression of Thermoacoustic Oscillations
,” J. Sound Vib.
, 331
(12
), pp. 2753
–2763
.6.
Bothien
, M.
, Moeck
, J.
, and Paschereit
, C. O.
, 2010
, “Comparison of Linear Stability Analysis With Experiments by Actively Tuning the Acoustic Boundary Conditions of a Premixed Combustor
,” ASME J. Eng. Gas Turbines Power
, 132
(12
), p. 121502
.7.
Noiray
, N.
, and Schuermans
, B.
, 2013
, “On the Dynamic Nature of Azimuthal Thermoacoustic Modes in Annular Gas Turbine Combustion Chambers
,” Proc. R. Soc. A
, 469
(2151
), p. 20120535
.8.
Ghirardo
, G.
, and Juniper
, M. P.
, 2013
, “Azimuthal Instabilities in Annular Combustors: Standing and Spinning Modes
,” Proc. R. Soc. A
, 469
(2157
), p. 20130232
.9.
Nicoud
, F.
, Benoit
, L.
, Sensiau
, C.
, and Poinsot
, T.
, 2007
, “Acoustic Modes in Combustors With Complex Impedances and Multidimensional Active Flames
,” AIAA J.
, 45
(2
), pp. 426
–441
.10.
Morse
, P. M.
, and Ingard
, K. U.
, 1968
, Theoretical Acoustics
, McGraw-Hill
, New York
.11.
Culick
, F. E. C.
, 2006
, “Unsteady Motions in Combustion Chambers for Propulsion Systems (AGARDograph)
,” OrganisationNorth Atlantic Treaty OrganisationNeuilly-sur-Seine Cedex, France Report No. NATO/RTO-AG-AVT-039.12.
Ghirardo
, G.
, Juniper
, M.
, and Moeck
, J.
, 2015
, “Stability Criteria for Standing and Spinning Waves in Annular Combustors
,” ASME
Paper No. GT2015-43127.13.
Poinsot
, T.
, and Veynante
, D.
, 2001
, Theoretical and Numerical Combustion
, Edwards
, Philadelphia, PA
.14.
Clavin
, P.
, Kim
, J. S.
, and Williams
, F. A.
, 1994
, “Turbulence-Induced Noise Effects on High-Frequency Combustion Instabilities
,” Combust. Sci. Technol.
, 96
, pp. 61
–84
.15.
Lieuwen
, T.
, and Banaszuk
, A.
, 2005
, “Background Noise Effects on Combustor Stability
,” J. Propul. Power
, 21
(1
), pp. 25
–31
.16.
Balachandran
, R.
, Ayoola
, B. O.
, Kaminski
, C. F.
, Dowling
, A. P.
, and Mastorakos
, E.
, 2005
, “Experimental Investigation of the Nonlinear Response of Turbulent Premixed Flames to Imposed Inlet Velocity Oscillations
,” Combust. Flame
, 143
, pp. 37
–55
.17.
Krylov
, N.
, and Bogoliubov
, N.
, 1949
, Introduction to Nonlinear Mechanics
, Princeton University Press
, London, UK
.18.
Lieuwen
, T.
, 2005
, “Online Combustor Stability Margin Assessment Using Dynamic Pressure Data
,” ASME J. Eng. Gas Turbines Power
, 127
(3
), pp. 478
–482
.19.
Yi
, T.
, and Gutmark
, E. J.
, 2008
, “Online Prediction of the Onset of Combustion Instability Based on the Computation of Damping Ratios
,” J. Sound Vib.
, 310
, pp. 442
–447
.20.
Schulze
, M.
, Kathan
, R.
, and Sattelmayer
, T.
, 2015
, “Impact of Absorber Ring Position and Cavity Length on Acoustic Damping
,” J. Spacecr. Rockets
, 52
(3
), pp. 917
–927
.21.
Hagen
, G.
, 2011
, “Stochastic Averaging for Identification of Feedback Nonlinearities in Thermoacoustic Systems
,” ASME J. Dyn. Syst., Meas., Control
, 133
(6
), p. 061017
.22.
Meija
, D.
, Miguel-Brebion
, M.
, and Selle
, L.
, 2016
, “On the Experimental Determination of Growth and Damping Rates for Combustion Instabilities
,” Combust. Flame
, 169
, pp. 287
–296
.23.
Lax
, M.
, 1967
, “Classical Noise. V. Noise in Self-Sustained Oscillators
,” Phys. Rev.
, 160
(2
), pp. 290
–307
.24.
Lax
, M.
, Cai
, W.
, and Xu
, M.
, 2006
, Random Processes in Physics and Finance
, Oxford University Press
, New York
.25.
Friedrich
, R.
, Siegert
, S.
, Peinke
, J.
, Lück
, S.
, Siefert
, M.
, Lindemann
, M.
, Raethjen
, J.
, Deuschl
, G.
, and Pfister
, G.
, 2000
, “Extracting Model Equations From Experimental Data
,” Phys. Lett. A
, 271
(3
), pp. 217
–222
.26.
Gradisek
, J.
, Siegert
, S.
, Friedrich
, R.
, and Grabec
, I.
, 2000
, “Analysis of Time Series From Stochastic Processes
,” Phys. Rev. E
, 62
(3146–3155
), pp. 217
–222
.27.
Kolmogorov
, A. N.
, 1931
, “Über die Analytischen Methoden in der Wahrscheinlichkeitsrechnung
,” Math. Ann.
, 140
, pp. 415
–458
.28.
Friedrich
, R.
, Peinke
, J.
, Sahimi
, M.
, and Tabar
, M. R. R.
, 2011
, “Approaching Complexity by Stochastic Methods: From Biological Systems to Turbulence
,” Phys. Rep.
, 506
(5
), pp. 87
–162
.29.
Siegert
, S.
, Friedrich
, R.
, and Peinke
, J.
, 1998
, “Analysis of Data Sets of Stochastic Systems
,” Phys. Lett. A
, 243
, pp. 275
–280
.30.
Stratonovich
, R. C.
, 1963
, Topics in the Theory of Random Noise
, Vol. 2
, Gordon & Breach
, New York
.31.
Roberts
, J. B.
, and Spanos
, P. D.
, 1986
, “Invited Review No. 1: Stochastic Averaging: An Approximate Method of Solving Random Vibration Problems
,” Int. J. Non-Linear Mech.
, 21
(2
), pp. 111
–134
.32.
Kim
, K.
, and Hochgreb
, S.
, 2012
, “Measurements of Triggering and Transient Growth in a Model Lean-Premixed Gas Turbine Combustor
,” Combust. Flame
, 159
(3
), pp. 1215
–1227
.33.
Moeck
, J.
, Bothien
, M.
, Schimek
, S.
, Lacarelle
, A.
, and Paschereit
, C. O.
, 2008
, “Subcritical Thermoacoustic Instabilities in a Premixed Combustor
,” AIAA
Paper No. 2008-2946.34.
Ushakov
, O. V.
, Wunsche
, H.-J.
, Henneberger
, F.
, Khovanov
, I. A.
, Schimansky-Geier
, L.
, and Zaks
, M. A.
, 2005
, “Coherence Resonance Near a Hopf Bifurcation
,” Phys. Rev. Lett.
, 95
(12
), p. 123903
.35.
Zakharova
, A.
, Vadivasova
, T.
, Anishchenko
, V.
, Koseska
, A.
, and Kurths
, J.
, 2010
, “Stochastic Bifurcations and Coherencelike Resonance in a Self-Sustained Bistable Noisy Oscillator
,” Phys. Rev. E
, 81
(1
), p. 011106
.36.
Kabiraj
, L.
, Steinert
, R.
, Saurahb
, A.
, and Paschereit
, C. O.
, 2015
, “Coherence Resonance in a Thermoacoustic System
,” Phys. Rev. E
, 92
(4
), p. 042909
.37.
Waugh
, I. C.
, and Juniper
, M. P.
, 2011
, “Triggering in a Thermoacoustic System With Stochastic Noise
,” Int. J. Spray Combust. Dyn.
, 3
(3–4
), pp. 225
–242
.38.
Gotoda
, H.
, Shinoda
, Y.
, Kobayashi
, M.
, Okuno
, Y.
, and Tachibana
, S.
, 2014
, “Detection and Control of Combustion Instability Based on the Concept of Dynamical System Theory
,” Phys. Rev. E
, 89
(2
), p. 022910
.39.
Gopalakrishnan
, E. A.
, and Sujith
, R. I.
, 2015
, “Effect of External Noise on the Hysteresis Characteristics of a Thermoacoustic System
,” J. Fluid Mech.
, 776
, pp. 334
–353
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