Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Online Monitoring of Thermoacoustic Eigenmodes in Annular Combustion Systems Based on a State-Space Model

[+] Author and Article Information
D. Rouwenhorst

IfTA Ingenieurbüro für Thermoakustik GmbH,
Gröbenzell 82194, Germany
e-mail: driek.rouwenhorst@ifta.com

J. Hermann

IfTA Ingenieurbüro für Thermoakustik GmbH,
Gröbenzell 82194, Germany

W. Polifke

Professur für Thermofluiddynamik
Fakultät für Machinenwesen,
Technische Universität München,
Garching 85747, Germany
e-mail: polifke@tfd.mw.tum.de

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received June 20, 2016; final manuscript received July 7, 2016; published online September 13, 2016. Editor: David Wisler.

J. Eng. Gas Turbines Power 139(2), 021502 (Sep 13, 2016) (8 pages) Paper No: GTP-16-1238; doi: 10.1115/1.4034260 History: Received June 20, 2016; Revised July 07, 2016

Thermoacoustic instabilities have the potential to restrict the operability window of annular combustion systems, primarily as a result of azimuthal modes. Azimuthal acoustic modes are composed of counter-rotating wave pairs, which form traveling modes, standing modes, or combinations thereof. In this work, a monitoring strategy is proposed for annular combustors, which accounts for azimuthal mode shapes. Output-only modal identification has been adapted to retrieve azimuthal eigenmodes from surrogate data, resembling acoustic measurements on an industrial gas turbine. Online monitoring of decay rate estimates can serve as a thermoacoustic stability margin, while the recovered mode shapes contain information that can be useful for control strategies. A low-order thermoacoustic model is described, requiring multiple sensors around the circumference of the combustor annulus to assess the dynamics. This model leads to a second-order state-space representation with stochastic forcing, which is used as the model structure for the identification process. Four different identification approaches are evaluated under different assumptions, concerning noise characteristics and preprocessing of the signals. Additionally, recursive algorithms for online parameter identification are tested.

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Lieuwen, T. , 2005, “ Online Combustor Stability Margin Assessment Using Dynamic Pressure Data,” ASME J. Eng. Gas Turbines Power, 127(3), pp. 478–482. [CrossRef]
Nair, V. , Thampi, G. , Karuppusamy, S. , Gopalan, S. , and Sujith, R. , 2013, “ Loss of Chaos in Combustion Noise as a Precursor of Impending Combustion Instability,” Int. J. Spray Combust. Dyn., 5(4), pp. 273–290. [CrossRef]
Nair, V. , and Sujith, R. , 2014, “ Multifractality in Combustion Noise: Predicting an Impending Combustion Instability,” J. Fluid Mech., 747, pp. 635–655. [CrossRef]
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. [CrossRef]
Evesque, S. , and Polifke, W. , 2002, “ Low-Order Acoustic Modelling for Annular Combustors: Validation and Inclusion of Modal Coupling,” ASME Paper No. GT-2002-30064.
Campa, G. , Camporeale, S. , Guaus, A. , Favier, J. , Bargiacchi, M. , Bottaro, A. , Cosatto, E. , and Mori, G. , 2011, “ A Quantitative Comparison Between a Low Order Model and a 3D FEM Code for the Study of Thermoacoustic Combustion Instabilities,” ASME Paper No. GT2011-45969.
Staffelbach, G. , Gicquel, L. Y. M. , Boudier, G. , and Poinsot, T. , 2009, “ Large Eddy Simulation of Self Excited Azimuthal Modes in Annular Combustors,” Proc. Combust. Inst., 32(2), pp. 2909–2916. [CrossRef]
Morgans, A. S. , and Dowling, A. P. , 2007, “ Model-Based Control of Combustion Instabilities,” J. Sound Vib., 299(1–2), pp. 261–282. [CrossRef]
Worth, N. A. , and Dawson, J. R. , 2013, “ Modal Dynamics of Self-Excited Azimuthal Instabilities in an Annular Combustion Chamber,” Combust. Flame, 160(11), pp. 2476–2489. [CrossRef]
Noiray, N. , Bothien, M. , and Schuermans, B. , 2011, “ Investigation of Azimuthal Staging Concepts in Annular Gas Turbines,” Combust. Theory Modell., 15(5), pp. 585–606. [CrossRef]
Bauerheim, M. , Cazalens, M. , and Poinsot, T. , 2015, “ A Theoretical Study of Mean Azimuthal Flow and Asymmetry Effects on Thermo-Acoustic Modes in Annular Combustors,” Proc. Combust. Inst., 35(3), pp. 3219–3227. [CrossRef]
Noiray, N. , and Schuermans, B. , 2013, “ On the Dynamic Nature of Azimuthal Thermoacoustic Modes in Annular Gas Turbine Combustion Chamber,” Proc. R. Soc. A: Math. Phys. Eng. Sci., 469(2151), p. 20120535. [CrossRef]
Krüger, U. , Hüren, J. , Hoffmann, S. , Krebs, W. , and Bohn, D. , 1999, “ Prediction of Thermoacoustic Instabilities With Focus on the Dynamic Flame Behavior for the 3A-Series Gas Turbine of Siemens KWU,” ASME Paper No. 99-GT-111.
Blimbaum, J. , Zanchetta, M. , Akin, T. , Acharya, V. , O'Connor, J. , Noble, D. R. , and Lieuwen, T. , 2012, “ Transverse to Longitudinal Acoustic Coupling Processes in Transversely Excited Flames,” Spring Technical Meeting of the Central States Section of the Combustion Institute.
Parmentier, J.-F. , Salas, P. , Wolf, P. , Staffelbach, G. , Nicoud, F. , and Poinsot, T. , 2012, “ A Simple Analytical Model to Study and Control Azimuthal Instabilities in Annular Combustion Chambers,” Combust. Flame, 159(7), pp. 2374–2387. [CrossRef]
Ndiaye, A. , Bauerheim, M. , and Nicoud, F. , 2015, “ Uncertainty Quantification of Thermoacoustic Instabilities on A Swirled Stabilized Combustor,” ASME Paper No. GT2015-44133.
Tanaka, H. , and Katayama, T. , 2003, “ Stochastic Subspace Identification Via ‘LQ Decomposition’,” IEEE Conference on Decision and Control, Dec. 9–12, Vol. 4, pp. 3467–3472.
Katayama, T. , 2005, Subspace Methods for System Identification. Communications and Control Engineering, Springer-Verlag, London.
Brincker, R. , Zhang, L. , and Andersen, P. , 2000, “ Output-Only Modal Analysis by Frequency Domain Decomposition,” International Conference on Noise and Vibration Engineering, ISMA25, Vol. 2, pp. 717–723. http://vbn.aau.dk/ws/files/203990123/Output_Only_Modal_Analysis_by_Frequency_Domain_Decomposition.pdf


Grahic Jump Location
Fig. 1

Sketch of an annular combustor with 1D acoustic waves F̂m and Ĝm in the combustion chamber. Premixing ducts of the burners connect the combustion chamber with the plenum.

Grahic Jump Location
Fig. 2

Section view showing the premixing duct with reference velocity ûx for the heat release model. The combustion zone is subject to the pressure fluctuations in the combustion chamber, but secluded for azimuthal particle velocity.

Grahic Jump Location
Fig. 3

Comparison of the current model with the analytic (linearized) ATACAMAC model. Eigenfrequencies and decay rates of a system with burner pattern 1212 for variable time delay τ1. Both solutions coincide very well after enforcing the same conditions, noting the small deviations around mω0τ1/2π=0.8.

Grahic Jump Location
Fig. 4

Modal peak in the power spectral density of clockwise and anticlockwise waves of the surrogate time-series data generated by Eq. (17)

Grahic Jump Location
Fig. 5

Online identified decay rates α¯1,2 of the thermoacoustic system during slow parameter variation. Theoretical decay rates α1,2 following from the prescribed parameters by Eq. (12) are given in dashed lines.



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