0
Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Analysis for Combustion Instability and Stabilization Characteristics in a Swirled Premixed Combustor With a Slotted Plate

[+] Author and Article Information
Seungtaek Oh

Department of Mechanical Engineering,
Hanyang University,
17, Haengdang-Dong,
Sungdong-Gu 04763, Korea

Jaehyeon Kim

Department of Mechanical Engineering,
Hanyang University,
17, Haengdang-Dong,
Sungdong-Gu 04763, Korea

Yongmo Kim

Professor
Department of Mechanical Engineering,
Hanyang University,
17, Haengdang-Dong,
Sungdong-Gu 04763, Korea
e-mail: ymkim@hanyang.ac.kr

1Corresponding author.

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received May 4, 2017; final manuscript received February 18, 2018; published online May 24, 2018. Assoc. Editor: Joseph Zelina.

J. Eng. Gas Turbines Power 140(9), 091501 (May 24, 2018) (10 pages) Paper No: GTP-17-1159; doi: 10.1115/1.4039803 History: Received May 04, 2017; Revised February 18, 2018

In this study, new methodologies are introduced to analyze combustion instability in a lab-scale swirled combustor. First, with the help of radial basis function neural network (RBFNN), the flame describing function (FDF) is effectively modeled from a limited number of experimental data. This neural-network-based FDF method is able to generate more refined FDF data in an extended range. In addition, instead of a perforated plate with round holes, a slotted plate is utilized as a stabilization device. In this approach, the acoustic impedance of a slotted plate is modeled by the Dowling approach, and the dimensions of a slotted plate are optimized by simulated annealing (SA) algorithm to get the highest average absorption coefficient in a given frequency range. The present RBFNN-based FDF approach yields the reasonably good agreements with the measurements in terms of the limit-cycle velocity perturbation ratio and resonant frequency. It is also found that a slotted plate optimized by SA algorithm is quite effective to attenuate combustion instability. Numerical results obtained in this study confirm that these new methodologies are quite reliable and widely applicable for the analysis of combustion instability encountered in practical combustion systems.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Salas, P. , 2013, “ Aspects Numeriques et Physiques des Instabilities Thermoacoustiques dans les Chambres de Combustion Anulaires,” Ph.D. thesis, Uniersite Bordeaux, Bordeaux, France.
Poinsot, T. , and Veynante, T. , 2011, Theoretical and Numerical Combustion, 3rd ed., R. T. Edwards, London.
Laera, D. , Campa, G. , Camporeale, S. M. , Bertoloto, E. , Rizzo, S. , Bonzani, F. , and Ferrante, A. , 2014, “ Modelling of Thermoacoustic Combustion Instabilities Phenomena: Application to an Experimental Rig for Testing Full Scale Burners,” ASME Paper No. GT 2014-25273.
Laera, D. , Campa, G. , Camporeale, S. M. , Bertolotto, E. , Rizzo, S. , Bonzani, F. , Ferrante, A. , and Saponaro, A. , 2014, “ Modelling of Thermoacoustic Combustion Instabilities Phenomena: Application to an Experimental Test Rig,” Energy Procedia, 45, pp. 1392–1401. [CrossRef]
Laera, D. , Gentile, A. , Camporeale, S. M. , Bertolotto, E. , Rofi, L. , and Bonzani, F. , 2015, “ Numerical and Experimental Investigation of Thermoacoustic Combustion Instability in a Longitudinal Combustion Chamber: Influence of the Geometry of the Plenum,” ASME Paper No. GT2015-42322.
Zhao, D. , Li, S. , and Zhao, H. , 2016, “ Entropy-Involved Energy Measure Study of Intrinsic Thermoacoustic Oscillations,” Appl. Energy, 177, pp. 570–578. [CrossRef]
Wolf, P. , Staffelbach, G. , Gicquel, L. Y. M. , Muller, J. D. , and Poinsot, T. , 2012, “ Acoustic and Large Eddy Simulation Studies of Azimuthal Modes in Annular Combustion Chambers,” Combust. Flame, 159(11), pp. 3398–3413. [CrossRef]
Silva, C. F. , Nicoud, F. , Schuller, T. , Durox, D. , and Candel, S. , 2013, “ Combining a Helmholtz Solver With the Flame Describing Function to Assess Combustion Instability in a Premixed Swirled Combustor,” Combust. Flame, 160(9), pp. 1743–1754. [CrossRef]
Boudy, F. , 2012, “ Nonlinear Dynamics and Control Analysis of Combustion Instabilities Based on the ‘Flame Describing Function’ (FDF),” Ph.D. dissertation, Ecole Centrale Paris, Paris, France. https://tel.archives-ouvertes.fr/tel-00870770/
Noiray, N. , Durox, D. , Schuller, T. , and Candel, S. , 2008, “ A Unified Framework for Nonlinear Combustion Instability Analysis Based on the Flame Describing Function,” J. Fluid Mech, 615, pp. 139–167. [CrossRef]
Noiray, N. , Durox, D. , Schuller, T. , and Candel, S. , 2007, “ Passive Control of Combustion Instabilities Involving Premixed Flames Anchored on Perforated Plates,” Proc. Combust. Inst., 31(1), pp. 1283–1290. [CrossRef]
Noiray, N. , Durox, D. , Schuller, T. , and Candel, S. , 2009, “ A Method for Estimating the Noise Level of Unstable Combustion Based on the Flame Describing Function,” Int. J. Aeroacoust., 8(1), pp. 157–176. [CrossRef]
Boudy, F. , Durox, D. , Schuller, T. , Jomaas, G. , and Candel, S. , 2011, “ Describing Function Analysis of Limit Cycles in a Multiple Flame Combustor,” ASME J. Eng. Gas Turbines Power, 133(6), p. 061502. [CrossRef]
Boudy, F. , Durox, D. , Schuller, T. , and Candel, S. , 2013, “ Analysis of Limit Cycles Sustained by Two Modes in the Flame Describing Function Framework,” C. R. Mec., 341(1–2), pp. 181–190. [CrossRef]
Boudy, F. , Durox, D. , Schuller, T. , and Candel, S. , 2011, “ Nonlinear Mode Triggering in a Multiple Flame Combustor,” Proc. Combust. Inst., 33(1), pp. 1121–1128. [CrossRef]
Boudy, F. , Durox, D. , Schuller, T. , and Candel, S. , 2012, “ Nonlinear Flame Describing Function Analysis of Galloping Limit Cycles Featuring Chaotic States in Premixed Combustors,” ASME Paper No. GT2012-68998.
Laera, D. , Campa, G. , and Camporeale, S. M. , 2017, “ A Finite Element Method for a Weakly Nonlinear Dynamic Analysis and Bifurcation Tracking of Thermo-Acoustic Instability in Longitudinal and Annular Combustors,” Appl. Energy, 187, pp. 216–227. [CrossRef]
Palies, P. , Durox, D. , Schuller, T. , and Candel, S. , 2011, “ Nonlinear Combustion Instability Analysis Based on the Flame Describing Function Applied to Turbulent Premixed Swirling Flames,” Combust. Flame, 158(10), pp. 1980–1991. [CrossRef]
Palies, P. , Durox, D. , Schuller, T. , and Candal, S. , 2011, “ The Combined Dynamics of Swirler and Turbulent Premixed Swirling Flames,” Combust. Flame, 157(9), pp. 1698–1717. [CrossRef]
Scarpato, A. , 2014, “ Linear and Nonlinear Analysis of the Acoustic Response of Perforated Plates Traversed by a Bias Flow,” Ph.D. thesis, Ecole Centrale Paris, Paris, France. https://hal.inria.fr/tel-01126834/
Campa, G. , 2012, “ Prediction of the Thermoacoustic Combustion Instability in Gas Turbines,” Ph.D. dissertation, Politecnico di Bari, Bari, Italy. https://www.researchgate.net/publication/235328588_Prediction_of_the_Thermoacoustic_Combustion_Instability_in_Gas_Turbines
Li, S. , Li, Q. , Tang, L. , Yang, B. , Fu, J. , Clarke, C. A. , Jin, X. , Ji, C. Z. , and Zhao, H. , 2016, “ Theoretical and Experimental Demonstration of Minimizing Self-Excited Thermoacoustic Oscillations by Applying Anti-Sound Technique,” Appl. Energy, 181, pp. 399–407. [CrossRef]
Li, X. , Zhao, D. , Yang, X. , Wen, H. , Jin, X. , Li, S. , Zhao, H. , Xie, C. , and Liu, H. , 2016, “ Transient Growth of Acoustical Energy Associated With Mitigating Thermoacoustic Oscillations,” Appl. Energy, 169, pp. 481–490. [CrossRef]
Villamil, H. R. , 2012, “ Acoustic Properties of Microperforated Panels and Their Optimization by Simulated Annealing,” Ph.D. dissertation, Universidad Politecnica de Madrid, Madrid, Spain.
Maa, D. Y. , 1975, “ Theory and Design of Microperforated Panel Sound Absorbing Constructions,” Sci. Sin., 18(1), pp. 55–71. http://engine.scichina.com/publisher/scp/journal/Math%20A0/18/1/10.1360/ya1975-18-1-55?slug=full%20text
Howe, M. S. , 1998, Acoustics of Fluid-Structure Interactions, Cambridge University Press, Cambridge, UK. [CrossRef]
Jing, X. , and Sun, X. , 1999, “ Experimental Investigations of Perforated Liners With Bias Flow,” J. Acoust. Soc. Am., 106(5), pp. 2436–2441. [CrossRef]
Jing, X. , and Sun, X. , 2000, “ Effect of Plate Thickness on Impedance of Perforated Plates With Bias Flow,” AIAA J., 38(9), pp. 1573–1578. [CrossRef]
Atalla, N. , and Sgard, F. , 2007, “ Modeling of Perforated Plates and Screens Using Rigid Frame Porous Models,” J. Sound Vib., 303(1–2), pp. 195–208. [CrossRef]
Hughes, I. J. , and Dowling, A. P. , 1990, “ The Absorption of Sound by Perforated Linings,” J. Fluid Mech., 218(1), pp. 299–335. [CrossRef]
Cummings, A. , and Eversman, W. , 1983, “ High Amplitude Acoustic Transmission Through Duct Terminations: Theory,” J. Sound Vib., 91(4), pp. 503–518. [CrossRef]
Cummings, A. , 1986, “ Transient and Multiple Frequency Sound Transmission Through Perforated Plates at High Amplitude,” J. Acoust. Soc. Am., 79(4), pp. 942–951. [CrossRef]
Yang, D. , and Morgans, A. S. , 2016, “ An Analytical Model for the Acoustic Impedance of Circular Holes of Finite Length,” 23rd International Congress on Sound and Vibration, Athens, Greece, July 10–14, Paper No. T05.SS08. https://www.iiav.org/archives_icsv_last/2016_icsv23/content/papers/papers/full_paper_650_20160519183735630.pdf
Luong, T. , Howe, M. S. , and McGowan, R. S. , 2005, “ On the Rayleigh Conductivity of a Bias-Flow Aperture,” J. Fluids Struct., 21(8), pp. 769–778. [CrossRef]
Oh, S. , Shin, Y. , and Kim, Y. , 2016, “ Stabilization Effects of Perforated Plates on the Combustion Instability in a Lean Premixed Combustor,” Appl. Therm. Eng., 107, pp. 508–515. [CrossRef]
Maa, D. Y. , 2000, “ Theory of Microslit Absorbers,” Acta Acust., 25, pp. 481–485.
Randeberg, R. , 2000, “ Perforated Panel Absorbers With Viscous Energy Dissipation Enhanced by Orifice Design,” Ph.D. dissertation, Norwegian University of Science and Technology, Trondheim, Norway https://brage.bibsys.no/xmlui/bitstream/handle/11250/249798/125365_FULLTEXT01.pdf.
Dai, X. , Jing, X. , and Sun, X. , 2014, “ Discrete Vortex Model of a Helmholtz Resonator Subjected to High-Intensity Sound and Grazing Flow,” J. Sound Vib., 333, pp. 2713–2727. [CrossRef]
Dowling, A. P. , 1992, “ Sound Absorption by a Screen With a Regular Array of Slits,” J. Sound Vib., 156(3), pp. 387–405. [CrossRef]
Beale, M. H. , Hagan, M. T. , and Demuth, H. B. , 2016, “ MATLAB R2016b: Neural Network Toolbox: User's Guide,” The MathWorks Inc., Natick, MA.
Lee, K. , and Kim, K. , 2011, “ Surrogate Based Optimization of a Laidback Fan-Shaped Hole for Film-Cooling,” Int. J. Heat Fluid Flow, 32(1), pp. 226–238. [CrossRef]
Lee, K. , and Kim, K. , 2009, “ Optimization of a Cylindrical Film Cooling Hole Using Surrogate Modeling,” Numer. Heat Transfer, Part A, 55(4), pp. 362–380. [CrossRef]
Wang, C. , Zhang, J. , and Zhou, J. , 2016, “ Optimization of a Fan-Shaped Hole to Improve Film Cooling Performance by RBF Neural Network and Genetic Algorithm,” Aerosp. Sci. Tech., 58, pp. 18–25. [CrossRef]
Jaensch, S. , and Polifke, W. , 2017, “ On the Uncertainty Encountered When Modeling Self-Excited Thermoacoustic Oscillations With Artificial Neural Networks,” Int. J. Spray Combust. Dyn., 9(4), pp. 367–379. [CrossRef]
Blonbou, R. , Laverdant, A. , Zaleski, S. , and Kuentzmann, P. , 2000, “ Active Adaptive Combustion Control Using Neural Networks,” Combust. Sci. Technol., 156(1), pp. 25–47. [CrossRef]
Blonbou, R. , Laverdant, A. , Zaleski, S. , and Kuentzmann, P. , 2000, “ Active Control of Combustion Instabilities on a Rijke Tube Using Neural Networks,” Proc. Combust. Inst, 28(1), pp. 747–755. [CrossRef]
Goffe, W. L. , Ferrier, G. D. , and Rogers, J. , 1994, “ Global Optimization of Statistical Functions With Simulated Annealing,” J. Econometrics, 60(1–2), pp. 65–99. [CrossRef]
Levine, H. , and Schwinger, J. , 1948, “ On the Radiation of Sound From an Unflanged Circular Pipe,” J. Propul. Power, 73, pp. 383–406.
Rienstra, S. , and Hirschberg, A. , 2017, “ An Introduction to Acoustics,” Eindhoven University of Technology, Eindhoven, The Netherlands.
Kim, K. T. , and Santavicca, D. A. , 2013, “ Generalization of Turbulent Swirl Flame Transfer Functions in Gas Turbine Combustors,” Combust. Sci. Tech., 185(7), pp. 999–1015. [CrossRef]
Kim, K. T. , and Santavicca, D. A. , 2013, “ Interference Mechanisms of Acoustic/Convective Disturbances in a Swirl- Stabilized Lean-Premixed Combustor,” Combust. Flame, 160(8), pp. 1441–1457. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Actual combustor configuration studied in Ref. [8]

Grahic Jump Location
Fig. 2

Mesh arrangement and acoustic boundary conditions in the lean-premixed combustor

Grahic Jump Location
Fig. 3

Flame describing function measured by Ref. [8]

Grahic Jump Location
Fig. 4

General structure of RBFNN

Grahic Jump Location
Fig. 5

Measured FDF data, reference-range, and extended-range RBFNN-modeled FDF data: (a) measured FDF data in the reference range (û/u¯ = 0.07–0.71), (b) reference-range RBFNN-modeled FDF data (û/u¯ = 0.07–0.71) obtained from the limited-range measured data (û/u¯ = 0.15–0.51), and (c) extended-range RBFNN-modeled FDF data (û/u¯ = 0.0–0.9) obtained from the whole-range measured data (û/u¯ = 0.07–0.71)

Grahic Jump Location
Fig. 6

Regression coefficient for the gain index and time delay in the extrapolation range (û/u¯= 0.070.15 and 0.51–0.71

Grahic Jump Location
Fig. 7

The geometry of the backed slotted plate

Grahic Jump Location
Fig. 8

Trajectories of eigenfrequency and growth rate for 12 test cases): (a) eigenfrequency trajectories and (b) growth rate trajectories

Grahic Jump Location
Fig. 9

Computational geometry to consider the stabilization effect of a slotted plate in a Helmholtz solver

Grahic Jump Location
Fig. 10

Absorption coefficient of the slotted plate with four different widths (1 mm, 2 mm, 5 mm, and 10 mm)

Grahic Jump Location
Fig. 11

Comparison of eigenfrequency trajectories of the four unstable cases by a slotted plate: (a) case 4, (b) case 7, (c) case 8, and (d) case 12

Grahic Jump Location
Fig. 12

Comparison of growth rate trajectories for four unstable cases with a slotted plate: (a) case 4, (b) case 7, (c) case 8, and (d) case 12

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In