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전달 행렬 기법을 이용한 열음향 네트워크 모델 개발

Development of Thermoacoustic Network Model Using Transfer Matrix Method

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초록

In this paper, one-dimensional thermoacoustic model based on the transfer matrix approach is developed for studying combustion instabilities in a gas turbine combustor. Two different transfer functions are introduced for the closed-loop feedback system analysis. One is acoustic transfer function, which is derived from the conservation equations such as mass, momentum, and energy for a given problem. The other is flame transfer function, which quantifies the heat release response in the combustor to the incoming velocity fluctuations. Combining the acoustic and flame transfer functions, one can analyze the combustion instability in the closed-loop system. The calculated thermoacoustic instability behavior using the current model matches well with the experimental results in the literature.

Abstract

In this paper, one-dimensional thermoacoustic model based on the transfer matrix approach is developed for studying combustion instabilities in a gas turbine combustor. Two different transfer functions are introduced for the closed-loop feedback system analysis. One is acoustic transfer function, which is derived from the conservation equations such as mass, momentum, and energy for a given problem. The other is flame transfer function, which quantifies the heat release response in the combustor to the incoming velocity fluctuations. Combining the acoustic and flame transfer functions, one can analyze the combustion instability in the closed-loop system. The calculated thermoacoustic instability behavior using the current model matches well with the experimental results in the literature.

참고문헌 (14)

  1. 윤명곤, "Acoustic transfer function of a combustion system with premixing chamber", Journal of Mechanical Science and Technology, 31(12), pp.6069~6076 (2017), 대한기계학회
  2. 김대식, "희박 예혼합 가스터빈 연소기에서의 화염 전달 함수 소개", 대한기계학회논문집 B, 35(9), pp.975~979 (2011), 대한기계학회
  3. 김대식, "당량비 및 섭동 조건 변화가 화염 전달 함수에 미치는 영향", 한국추진공학회지, 15(4), pp.35~40 (2011), 한국추진공학회
  4. 김진아, "피드백 전달함수를 이용한 연소 안정성 해석", 한국연소학회지, 21(3), pp.24~31 (2016), 한국연소학회
  5. T.C. Lieuwen, "Combustion Instabilities in Gas Turbine Engines: Operational Experience, Fundamental Mechanisms, and Modelling" (2005), AIAA, Inc.
  6. 김대식, "가스터빈 연소기에서 엔트로피파에 대한 고찰", 한국연소학회지, 23(1), pp.28~35 (2018), 한국연소학회[DOI]
  7. W. Polifke, "Reconstruction of Acoustic Transfer Matrices by Instationary Computational Fluid Dynamics", J. Sound Vib., 245, pp.483~510 (2001)
  8. 차동진, "Analysis of the combustion instability of a model gas turbine combustor by the transfer matrix method", Journal of Mechanical Science and Technology, 23(6), pp.1602~1612 (2009), 대한기계학회
  9. T. Schuller, "Acoustic Decoupling of Longitudinal Modes in Generic Combustion System", Combust. Flame, 159, pp.1921~1931 (2012)
  10. C.F. Silva, "Combining a Helmholtz Solver with the Flame Describing Function to Assess Combustion Instability in a Premixed Swirled Combustor", Combust. Flame, 160, pp.1743~1754 (2013)
  11. C. Goh, "The Influence of Entropy Waves on the Thermoacoustic Stability of a Model Combustor", Combust. Sci. Technol., 185, pp.249~268 (2013)
  12. 김대식, "가스터빈 연소기에서 화염의 위치를 고려한 열음향 해석", 한국연소학회지, 18(1), pp.1~6 (2013), 한국연소학회
  13. 김진아, "가스터빈 연소기에서 1D 열음향 모델을 이용한 연소불안정 예측", 한국분무공학회지, 20(4), pp.241~246 (2015), 한국분무공학회[DOI]
  14. T. Schuller, "A Unified Model for the Prediction of Laminar Flame Transfer Functions: Comparisons between Conical and V-Flame Dynamics", Combust. Flame, 134(1-2), pp.21~34 (2003)

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