DOI QR코드

DOI QR Code

Effects of Flame Transfer Function on Modeling Results of Combustion Instabilities in a 3 Step Duct System

3단 덕트 시스템에서 화염전달함수가 연소불안정 모델링 결과에 미치는 영향

  • 홍수민 (강릉원주대학교 기계공학과) ;
  • 김대식 (강릉원주대학교 기계공학과)
  • Received : 2020.08.17
  • Accepted : 2020.09.10
  • Published : 2020.09.30

Abstract

In this paper, we used Helmholtz solver based on 3D finite element method to quantitatively analyze the effects of change of gain, time delay and time delay spread, which are the main variables of flame transfer function, on combustion instability in gas turbine combustor. The effects of the variable of flame transfer function on the frequency and growth rate, which are the main results of combustion instability, were analyzed by applying the conventional heat release fluctuation model and modified one considering the time spread. The analysis results showed that the change of gain and time delay in the same resonance mode affected the frequency of the given resonance modes as well as growth rate of the feedback instability, however, the effect of time delay spread was not relatively remarkable, compared with the dominant effect of time delay.

Keywords

References

  1. D. Kim, "Introduction to Thermoacoustic Models for Combustion Instability Prediction Using Flame Transfer Function", Journal of the Korean Society of Propulsion Engineers, Vol. 15, No. 6, 2011, pp. 98-106.
  2. T. Lieuwen and V. Yang, "Combustion instabilities in gas turbine engines," AIAA, Washington, DC, Progress in Astronautics and Aeronautics, Vol. 210, 2005.
  3. M. Yoon and D. Kim, "Acoustic Transfer Function of a Combustion System with Premixing Chamber", Journal of Mechanical Science and Technology, Vol. 31, No. 12, 2017, pp. 6069-6076. https://doi.org/10.1007/s12206-017-1151-8
  4. Y. Pyo, J. Kim, and D. Kim, "Time Lag Analysis Using Phase of Flame Transfer Function", Journal of ILASS-Korea, Vol. 21, No. 2, 2016, pp. 104-110. https://doi.org/10.15435/JILASSKR.2016.21.2.104
  5. S. Jang, D. Kim, S. Joo, and Y. Yoon, "Combustion Instability Modeling in a Partially-Premixed Gas Turbine Combustor using Finite Element Method", Journal of ILASS-Korea, Vol. 23, No. 1, 2018, pp. 16-21. https://doi.org/10.15435/JILASSKR.2018.23.1.16
  6. P. Wolf, R. Balakrishnan, G. Staelbach, L. Y. M. Gicquel, and T. Poinsot, "Using LES to Study Reacting Flows and Instabilities in Annular Combustion Chambers", Flow, Turbulence and Combustion, Springer Verlag, Germany, Vol. 88, 2012, pp. 191-206. https://doi.org/10.1007/s10494-011-9367-7
  7. Y. Huang, H. G. Sung, S. Y. Hsieh, and V. Yang, "Large-Eddy Simulation of Combustion Dynamics of Lean-Premixed Swirl-Stabilized Combustor", Journal of Propulsion and Power, Vol. 19, No. 5, 2003, pp. 782-794. https://doi.org/10.2514/2.6194
  8. G. Campa and S. M. Camporeale, "A Novel FEM Method for Predicting Thermoacoustic Combustion Instability", European COMSOL Conference, 2009.
  9. G. M. R. Tamanampudi and W. E. Anderson, "Development of Combustion Instability Analysis Tool by Incorporating Combustion Response Models", Energy Forum. 51th AIAA/SAE/ASEE Joint Propulsion Conference, AIAA 2015-4165, 2015.
  10. K. Kim, J. Lee, H. Lee, B. Quay, and D. Santavicca, "Characterization of forced flame response of swirlstabilized turbulent lean premixed flames in a gas turbine combustor," Journal of Engineering for Gas Turbine and Power, Vol. 132, No. 4, 2010. https://doi.org/10.1115/1.3204506
  11. T. Schuller, D. Durox, and S. Candel, "A Unified Model for the Prediction of Laminar Flame Transfer Functions: Comparisons Between Conical and VFlame Dynamics", Combustion and Flame, Vol. 134, No. 1-2, 2003, pp. 21-34. https://doi.org/10.1016/S0010-2180(03)00042-7
  12. A. Andreini, B. Facchini, A. Giusti, and F. Turrini, "Assessment of Flame Transfer Function Formulations for the Thermoacoustic Analysis of Lean Burn Aero-Engine Combustors", Energy Procedia, Vol. 45, 2014, pp. 1422-1431. https://doi.org/10.1016/j.egypro.2014.01.149
  13. L. Crocco, "Aspects of Combustion Stability in Liquid Propellant Rocket Motors Part I: Fundamentals, Low Frequency Instability With Monopropellants", Journal of the American Rocket Society, Vol. 21, No. 6, 1951, pp. 163-178. https://doi.org/10.2514/8.4393
  14. A. P. Dowling, "Modeling and control of combustion oscillations", ASME Turbo Expo, Power for Land, Sean and Air, GT 2005-68452, 2005.
  15. COMSOL Acoustics Module Users Guide pp. 51-121, 2010.
  16. S. K. Kim, D. Kim, and D. J. Cha, "Finite element analysis of self-excited instabilities in a lean premixed gas turbine combustor", International Journal of Heat and Mass Transfer, Vol. 120, 2018, pp. 350-360. https://doi.org/10.1016/j.ijheatmasstransfer.2017.12.021
  17. D. Kim and K. Kim, "Improved Thermoacoustic Model Considering Heat Release Distribution", The Korean Society of Mechanical Engineers, Vol. 38, No. 6, 2014, pp. 443-449. https://doi.org/10.3795/KSME-B.2014.38.6.443
  18. T. Sattelmayer, "Influence of the Combustor Aerodynamics on Combustion Instabilities from Equivalence Ratio Fluctuations", Journal of Engineering for Gas Turbines and Power, Vol. 125, No. 1, 2003, pp. 11-19. https://doi.org/10.1115/1.1365159
  19. A. P. Dowling and S. Stow, "Acoustic Analysis of Gas Turbine Combustors", Journal of Propulsion and Power, Vol. 19, No. 5, 2003, pp. 751-764. https://doi.org/10.2514/2.6192
  20. M. Yoon, "Effects of Mean Flow, Temperature Ratio and Area Ratio on Combustion Instability of a Dump Combustor", Combustion Science and Technology, 2019.