DOI QR코드

DOI QR Code

Limit Cycle Amplitude Prediction Using Results of Flame Describing Function Modeling

화염묘사함수 모델링 결과를 이용한 한계 진폭 예측

  • Kim, Jihwan (Department of Mechanical and Automotive Engineering, Gangneung-Wonju National University) ;
  • Kim, Jinah (Department of Mechanical and Automotive Engineering, Gangneung-Wonju National University) ;
  • Kim, Daesik (Department of Mechanical and Automotive Engineering, Gangneung-Wonju National University)
  • Received : 2016.06.06
  • Accepted : 2016.11.15
  • Published : 2016.12.01

Abstract

It is required to predict a limit cycle amplitude controlled by system's nonlinear behavior as well as an eigen-frequency and initial growth rate of instabilities under the linear motions, in order to fully understand combustion instabilities in a lean premixed gas turbine combustor. Special focus of the current work is placed on the limit cycle amplitude prediction using flame describing function(FDF) where the ratio of a heat release fluctuation to a given flow perturbation is expressed as a function of frequency and amplitude. In this study, the CFD modeling work based on RANS is carried out to obtain FDF, which makes that the nonlinear thermo-acoustic model is successfully developed for predicting the limit cycle amplitude of the combustion instability.

희박 예혼합 가스터빈의 연소 불안정 현상을 이해하기 위해서는, 선형 과정에 의하여 얻어지는 고유주파수 및 초기 성장률뿐만 아니라, 연소기 비선형 특성에 의존하는 한계진폭의 예측이 필요하다. 특히 현재의 연구에서는 비선형 거동에 의한 한계 진폭을 예측하기 위해서 유동 섭동과 열발생의 비율이 주파수와 속도 진폭을 정의할 수 있는 화염묘사함수를 적용하였다. 본 연구에서는 화염묘사함수를 얻기 위하여 CFD 기법이 적용되었으며, 이를 통하여 비선형 열음향 해석으로부터 불안정 한계 진폭을 예측할 수 있었다.

Keywords

References

  1. Kim, D., "Introduction to Thermoacoustic Models for Combustion Instability Prediction Using Flame Transfer Function," Journal of the Korean Society of Propulsion Engineers, Vol. 15, No. 6, pp. 98-106, 2011.
  2. Pyo, Y., Kim, J. and Kim, D., "Time Lag Analysis Using Phase of Flame Transfer Function," Journal of ILASS-Korea, Vol.21, No. 2, pp. 104-110, 2016. https://doi.org/10.15435/JILASSKR.2016.21.2.104
  3. Wolf, P., Balakrishnam, R., Staffelbach, G., Gicquel, L. and Poinsot, T., "Using LES to Study Reacting Flows and Instabilities in Annular Combustion Chambers," Journal of the Flow, Turbulence and Combustion, Vol. 88, No. 1-2, pp. 191-206, 2012. https://doi.org/10.1007/s10494-011-9367-7
  4. Kim, D., "Linear Stability Analysis in a Gas Turbine Combustor Using Thermoacoustic Models," Journal of the Korean Society of Combustion, Vol. 17, No. 2, pp.17-23, 2012.
  5. Kim, D. and Kim, K., "Thermoacoustic analysis model for combustion instability prediction - Part 2 : Nonlinear instability analysis," Journal of the Korean Society of Propulsion Engineers, Vol. 16, No. 6, pp.41-47, 2012. https://doi.org/10.6108/KSPE.2012.16.6.041
  6. Noiray, N., Durox, D., Schuller, T. and Candel, S., "A unified framework for nonlinear combustion instability analysis based on the flame describing function," Journal of Fluid Mechanics, Vol. 615, pp. 139-167, 2008. https://doi.org/10.1017/S0022112008003613
  7. Kim, K., Lee, J., Lee, H., Quay, B. and Santavicca, D., "Characterization of forced flame response of swirl-stabilized turbulent lean premixed flames in a gas turbine combustor," Journal of Engineering for Gas Turbine and Power, Vol. 132, pp.041502.1-041502.8, 2010.
  8. Kim, K., Lee, J., Quay, B. and Santavicca, D., "Spatially distributed flame transfer functions for predicting combustion dynamics in lean premixed gas turbine combustors," Combustion and Flame, Vol. 157, No. 9, pp. 1718-1730, 2010. https://doi.org/10.1016/j.combustflame.2010.04.016
  9. Kim, J., Kim, J., Lee, J. and Kim D., "Effects of Fuel Composition on Flame Transfer Function in Lean Premixed Combustor," Journal of ILASS-Korea, Vol. 20, No. 3, pp. 135-140, 2015. https://doi.org/10.15435/JILASSKR.2015.20.3.135
  10. ANSYS Fluent 16.1 Users Guide, ANSYS inc., 2015.
  11. Kim, D., Lee, J., Quay, B., Santavicca, D., Kim, K. and Srinivassan, S., "Effect of Flame Structure on the Flame Transfer Function in a Premixed Gas Turbine Combustor," Journal of Engineering for Gas Turbine and Power, Vol. 132, No. 2, 021502, 2010. https://doi.org/10.1115/1.3124664
  12. Krebs, W., Flohr, P., Prade, B. and Hoffmann, S., "Thermoacoustic Stability Chart for High-intensity Gas Turbine Combustion Systems," Combustion Science and Technology, Vol. 174, No. 7, pp. 99-128, 2002. https://doi.org/10.1080/713713051