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Evaluation of Combustion Instability in a Model Gas Turbine Adopting Flame Transfer Function and Dynamic Mode Decomposition

화염 전달함수 및 DMD 기법을 이용한 모형 가스터빈의 연소불안정성 평가

  • Son, Jinwoo (Department of Mechanical Engineering, Sejong University) ;
  • Sohn, Chae Hoon (Department of Mechanical Engineering, Sejong University) ;
  • Yoon, Jisu (School of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Yoon, Youngbin (School of Mechanical and Aerospace Engineering, Seoul National University)
  • 손진우 (세종대학교 기계공학과) ;
  • 손채훈 (세종대학교 기계공학과) ;
  • 윤지수 (서울대학교 기계항공공학부) ;
  • 윤영빈 (서울대학교 기계항공공학부)
  • Received : 2017.03.16
  • Accepted : 2017.04.07
  • Published : 2017.06.30

Abstract

To evaluate the combustion instability of a gas turbine combustor, the DMD technique was applied. The mode frequency results for each fuel composition were compared with FFT(Fast Fourier Transform) results. The damping coefficient, which is a quantitative parameter for combustion instability, was evaluated for 5 experimental cases. The flame transfer function (FTF) was calculated in the most unstable test case. In deriving the FTF, gain and phase were calculated using DMD technique. As a result of the analysis of the OH radical perturbation of the DMD, the heat release fluctuation was the highest at 100 Hz, at which the highest value of gain is observed. The frequency of FFT and FTF were different. In order to clarify the reason for this, FTF for various resonance frequencies was performed and it shows that the pattern of gain was similar to FFT.

Keywords

References

  1. C.L. Timothy, Investigation of combustion instability mechanisms in premixed gas turbines, Ph.D. thesis, Georgia Institute of Technology, (1999) 1-52.
  2. J.S. Yoon, M.K. Kim, M.C. Lee and Y.B Yoon, Combustion Instability Flame Structure Characteristics in Model Gas Turbine using the Chemiluminescence Measurement, The 43th KOSCO Symposium, 2011, 159-163.
  3. D.S Kim, Introduction to Thermoacoustic Models for Combustion Instability Prediction Using Flame Transfer Function, J. of KSPE, 15(6), (2011) 98-106.
  4. T. Poinsot, "Prediction and control of combustion instabilities in real engines," Proc. Combust. Inst., 2016, 1-28.
  5. A. Urbano, Q, Douasbin, L, Selle, G. Staffelbach, B. Cuenot, T. Schmitt, S. Candel, Study of flame response to transverse acoustic modes from the LES of a 42-injector rocket engine. Proc. Combust. Inst., (2016), 2633-2639.
  6. J.A. Kim, M.G. Yoon, D.S. Kim, Combustion stability analysis using feedback transfer function, J. Korean Soc. Combust., 21(3) (2016) 24-31. https://doi.org/10.15231/jksc.2016.21.3.024
  7. J.S. Yoon, S.P, Joo, J.J. Kim, M.C. Lee, J.G. Lee, Y.B. Yoon, Effects of convection time on the high harmonic combustion instability in a partially premixed combustor, Proc. Combust. Inst., 36(3) (2017) 3753-3761. https://doi.org/10.1016/j.proci.2016.06.105
  8. G. Campa, C. Roberto, Influence of Nonlinear Flame Models on Thermoacoustic Instabilities in Combustion Chambers, ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. ASME, 2016, V04AT04A055.
  9. S. Candel, D. Durox, T. Schuller, P. Palies, J.F Bourgouin, J.P. Moeck, Progress and challenges in swirling flame dynamics. Comptes. rendus. mecanique., 340 (2012) 758-768. https://doi.org/10.1016/j.crme.2012.10.024
  10. K.K. Chen, J.H. Tu, C.W. Rowley, Variants of dynamic mode decomposition: connections between Koopman and Fourirer analyses, J. Nonlinear Sci., 22(6) (2012) 887-915. https://doi.org/10.1007/s00332-012-9130-9
  11. P.J. Schmid, Dynamic mode decomposition of numerical and experimental data, J. of Fluid Mech., 656 (2010) 5-28. https://doi.org/10.1017/S0022112010001217
  12. G. Golub, W. Kahan, Calculating the singular values and pseudo-inverse of a matrix. J. SIAM Numer. Anal., (1965), 205-244.
  13. C.H. Sohn, I.S. Park, S.K. Kim, H.J. Kim, Acoustic tuning of gas-liquid scheme injectors for acoustic damping in a combustion chamber of a liquid rocket engine, J. of Sound and Vib., 304(3) (2007), 793-810. https://doi.org/10.1016/j.jsv.2007.03.036
  14. K. Liu, V. Sanderson, The influence of changes in fuel calorific value to combustion performance for Siemens SGT-300 dry low emission combustion system, Fuel, 103 (2013) 239-246. https://doi.org/10.1016/j.fuel.2012.07.068
  15. J.S Yoon, M.C. Lee, S.P. Joo, J.J. Kim, Y.B. Yoon, Experimental Study on Combustion Instability Mode Shifting Phenomenon at Various Fuel Composition in the Model Gas Turbine Combustor, KSAS symposium, 2013, 256-259.
  16. J.S. Yoon, S.P, Joo, J.J. Kim, Y.B. Yoon, Change in combustion instability mode characteristics during the $H_2/CH_4$ composition variation in model gas turbine combustor, KSAS symposium, 2014, 225-229.