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피드백 전달함수를 이용한 연소 안정성 해석

Combustion Stability Analysis using Feedback Transfer Function

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초록

In this paper we propose a new approach for an analysis and a prediction of combustion instability of lean premixed gas turbines. Our approach is based on the Nyquist stability criterion in control theory and a transfer function representation of a one-dimensional (1D) thermoacoustic system. A key advantage of the proposed approach is that one can systematically characterize the effects of various parameters of a combustor system on combustion instability. Our analysis method was applied to a real combustion system and the analysis results were consistent with experimental data.

Abstract

In this paper we propose a new approach for an analysis and a prediction of combustion instability of lean premixed gas turbines. Our approach is based on the Nyquist stability criterion in control theory and a transfer function representation of a one-dimensional (1D) thermoacoustic system. A key advantage of the proposed approach is that one can systematically characterize the effects of various parameters of a combustor system on combustion instability. Our analysis method was applied to a real combustion system and the analysis results were consistent with experimental data.

참고문헌 (16)

  1. B. Franzelli, "Large Eddy Simulation of Combustion Instabilities in a Lean Partially Premixed Swirled Flame", Combustion and Flame, 159(2), pp.621~637 (2012)
  2. B. Wegner, "Assessment of unsteady RANS in prediction swirl flow instability based on LES and experiments", International Journal of Heat and Fluid Flow, 25(3), pp.528~536 (2004)
  3. M. Boger, "Direct Numerical Simulation Analysis of Flame Surface Density Concept for Eddy Simulation of Turbulent Premixed Combustion", The 27th Symposium (International) on Combustion, pp.917~925 (1998)
  4. Kyu Tae Kim, "Linear stability analysis of acoustically driven pressure oscillations in a lean premixed gas turbine combustor", Journal of Mechanical Science and Technology, 23(12), pp.3436~3447 (2009), 대한기계학회
  5. 김대식, "열음향 해석 모델을 통한 가스터빈 연소기에서의 선형 안정성 분석", 한국연소학회지, 17(2), pp.17~23 (2012), 한국연소학회[DOI]
  6. 김대식, "가스터빈 연소기에서 화염의 위치를 고려한 열음향 해석", 한국연소학회지, 18(1), pp.1~6 (2013), 한국연소학회
  7. 김진아, "가스터빈 연소기에서 1D 열음향 모델을 이용한 연소불안정 예측", 한국액체미립화 학회지, 20(4), pp.241~246 (2015), 한국액체미립화학회[DOI]
  8. F. Golnaraghi, "Automatic Control Systems", pp.476~510 (2009), Wiley-Interscience Publication
  9. J. Kopitz, "CFD-Based Application of the Nyquist Criterion to Thermo-Acoustic Instability", Journal of Computational Physics, 227(14), pp.6754~6678 (2008)
  10. T. Lieuwen, "Combustion Instabilities in Gas Turbine Engines", AIAA, 210 (2005)
  11. T. Schuller, "A Unified Model for the Prediction of Laminar Flame Transfer Functions: Comparisons Between Conical and V-Flame Dynamics", Combustion and Flame, 134(1-2), pp.21~34 (2003)
  12. S. Preetham, "Response of Turbulent Premixed Flames to Harmonic Acoustic Forcing", Proceedings of the Combustion Institute, 31(1), pp.1427~1434 (2007)
  13. R. Balachandran, "Experimental Investigation of the Nonlinear Response of Turbulent Premixed Flames to Imposed Inlet Velocity Oscillations", Combustion and Flame, 134(1-2), pp.37~55 (2003)
  14. 김진아, "희박 예혼합 연소기에서 연료 조성이 화염전달함수 특성에 미치는 영향", 한국액체미립화 학회지, 20(3), pp.135~140 (2015), 한국액체미립화학회[DOI]
  15. 윤명곤, "비선형 위상을 가지는 화염전달함수", 한국추진공학회지, 20(3), pp.78~86 (2016), 한국추진공학회[DOI]
  16. K. Kim, "patially Distributed Flame Transfer Functions for Predicting Combustion Dynamics in Lean Premixed Gas Turbine Combustor", Combustion and Flame, 157(9), pp.1718~1730 (2010)

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