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2019 Vol.24, Issue 2 Preview Page

Research Article

Development of Thermoacoustic Network Model Using Transfer Matrix Method

전달 행렬 기법을 이용한 열음향 네트워크 모델 개발

Jeongun Park1
,
Myunggon Yoon1
,
Daesik Kim1*
박 정운1
,
윤 명곤1
,
김 대식1*
1School of Mechanical and Automotive Engineering, Gangneung-Wonju National University
1강릉원주대학교 기계자동차공학부
* Corresponding Author
30 June 2019. pp. 9-16
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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.

Keywords
Combustion Instability
Thermoacoustic Model
Acoustic transfer function
Flame transfer function
Transfer matrix method
References
1
M. Yoon, D. Kim, Acoustic Transfer Function of a Combustion System with Premixing Chamber, J. Mech. Sci. Technol. 31(12) (2017) 6069-6076.
10.1007/s12206-017-1151-8
2
D. Kim, Introduction to Flame Transfer Function in Lean Premixed Gas Turbine Combustor, Trans. Korean Soc. Mech. Eng. B, 35(9) (2011) 975-979.
10.3795/KSME-B.2011.35.9.975
3
D. Kim, Effects of Changes in Equivalence Ratio and Modulation Condition on Flame Transfer Function, J. Korean Soc. Propul. Eng, 15(4) (2011) 35-40.
4
J. Kim, M. Yoon, D. Kim, Combustion Stability Analysis using Feedback Transfer Function, J. Korean Soc. Combust., 21(3) (2016) 24-31.
10.15231/jksc.2016.21.3.024
5
T.C. Lieuwen, V. Yang, Combustion Instabilities in Gas Turbine Engines: Operational Experience, Fundamental Mechanisms, and Modelling, AIAA, Inc., 210, Reston, 2005.
10.2514/4.866807
6
D. Kim, M. Yoon, Review of Entropy Wave in a Gas Turbine Combustor, J. Korean Soc. Combust., 23(1) (2018) 28-35.
7
W. Polifke, Reconstruction of Acoustic Transfer Matrices by Instationary Computational Fluid Dynamics, J. Sound Vib., 245 (2001) 483-510.
10.1006/jsvi.2001.3594
8
D. Cha, J. Kim, Y. Jin, Analysis of the Combustion Instability of a Model Gas Turbine Combustor by the Transfer Matrix Method, Trans. Korean Soc. Mech. Eng. A, 23 (2009) 1602-1612.
10.1007/s12206-009-0427-z
9
T. Schuller, Acoustic Decoupling of Longitudinal Modes in Generic Combustion System, Combust. Flame, 159 (2012) 1921-1931.
10.1016/j.combustflame.2012.01.010
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 (2013) 1743-1754.
10.1016/j.combustflame.2013.03.020
11
C. Goh, A. Morgans, The Influence of Entropy Waves on the Thermoacoustic Stability of a Model Combustor, Combust. Sci. Technol., 185 (2013) 249-268.
10.1080/00102202.2012.715828
12
D. Kim, S. Kim, K. Kim, Thermoacoustic Analysis considering Flame Location in a Gas Turbine Combustor, J. Korean Soc. Combust, 18(1) (2013) 1-6.
10.15231/jksc.2013.18.1.001
13
J. Kim, D. Kim, Combustion Instability Prediction using 1D Thermoacoustic Model in a Gas Turbine Combustor, J. ILASS-Korea, 20(4) (2015) 241-246.
10.15435/JILASSKR.2015.20.4.241
14
T. Schuller. D. Durox, S. Candel, A Unified Model for the Prediction of Laminar Flame Transfer Functions: Comparisons between Conical and V-Flame Dynamics, Combust. Flame, 134(1-2) (2003) 21-34.
10.1016/S0010-2180(03)00042-7
Information
  • Publisher :The Korean Society Combustion
  • Publisher(Ko) :한국연소학회
  • Journal Title :Journal of The Korean Society Combustion
  • Journal Title(Ko) :한국연소학회지
  • Volume : 24
  • No :2
  • Pages :9-16
  • Received Date : 2018-08-24
  • Revised Date : 2019-01-09
  • Accepted Date : 2019-01-31
  • DOI :https://doi.org/10.15231/jksc.2019.24.2.009
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