Analysis on combustion instability based on empirical mode decomposition
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摘要: 实验研究了在常温常压条件下贫燃预混旋流火焰的燃烧不稳定性,发生燃烧不稳定性时其压力脉动表现为非平稳信号.利用一种基于经验模态分解(EMD)的希尔伯特-黄变换(HHT)算法对在当量比分别为0.71和0.80工况下的压力脉动信号进行了时频分析.针对压力脉动信号进行经验模态分解,选取主要的固有模态函数(IMF),对IMF通过HHT变换得到瞬时频率并进行统计分析.结果表明:在当量比为0.71时,压力信号呈间歇式的脉动,其振型为拍振;在当量比为0.80时,脉动压力信号则呈现出极限环振型.在基于EMD的HHT变换中,IMF体现了燃烧不稳定性的固有模态且具有自适应性强的特点.Abstract: An experimental study was conducted in the lean-premixed swirl-stabilized combustor at atmospheric pressure and temperature in order to analyze the pressure oscillation in occurrence of the combustion instability. The fluctuating pressure signals exhibited as non-stationary signals. A new method using Hilbert-Huang transform(HHT) based on empirical mode decomposition(EMD) and intrinsic mode function(IMF) reconstruction was investigated. This method was applied to demonstrate the characteristics of pressure oscillations in the lean-premixed combustor when the equivalent ratio was at 0.71 and 0.80. The pulsating signals were decomposed with EMD, and IMF containing specific frequencies was obtained. Through the HHT and statistical analysis, the instantaneous frequency of the IMF was analyzed. The results show that the pressure oscillations display the characteristics of intermittent pulsating, and present the beat at the equivalent ratio of 0.71; whereas at the equivalent of ratio 0.80, the pressure oscillations feature the limit cycle. The validity of this method proves that the IMF reflects the inherent mode when the combustion instability occurs, and it has a strong adaptability.
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[1] 林宇震,许全宏,刘高恩.燃气轮机燃烧室[M].北京:国防工业出版社,2009. [2] Portillo J E,Sisco J C,Corless M J,et al.Generalized combustion instability model[R].AIAA-2006-4889,2006. [3] Lieuwen T C,Yang V.Combustion instability:basic concept[R].Arlington,Texas:Combustion Instabilities in Gas Turbine Engines:Operational Experience,Fundamental Mechanisms,and Modeling,2005. [4] Huang Y,Yang V.Dynamics and stability of lean-premixed swirl-stabilized combustion[J].Progress in Energy and Combustion Science,2009,35(4):293-364. [5] 翁方龙,朱民,李东海.黎开管中燃烧振荡的非线性现象研究[J].工程热物理学报,2013,34(8):1582-1585. WENG Fanglong,ZHU Min,LI Donghai.Nonlinear phenomena of combustion instability in a Rijke tube[J].Journal of Engineering Thermophysics,2013,34(8):1582-1585.(in Chinese) [6] Barbosa S,Scouflaire P,Ducruix S.Time resolved flowfield,flame structure and acoustic characterization of a staged multi-injection burner[J].Proceedings of the Combustion Institute,2009,32(2):2965-2972. [7] 张海燕,方勇,彭章友."信号处理"课程中三种信号分析方法的比较[J].电气电子教学学报,2011,33(5):15-17. ZHANG Haiyan,FANG Yong,PENG Zhangyou.The comparison of three signal analysis methods in signal processing courses[J].Journal of Electrical and Electronic Education,2011,33(5):15-17.(in Chinese) [8] Huang N E,Shen Z,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis[J].Royal Society of London Proceedings,,1998,454(1971):903-995. [9] Huang N E,Shen Z,Long S R,et al.A new view of nonlinear water waves:the Hilbert spectrum[J].Annual Review of Fluid Mechanics,2003,31(1):417-457. [10] Huang N E,Wu M C,Long S R,et al.A confidence limit for the empirical mode decomposition and Hilbert spectral analysis[J]. Proceedings of the Royal Society:A Mathematical Physical and Engineering Sciences,2003,459(2037):2317-2345. [11] Jha R,YAN Feng,Ahmadi G.Energy-frequency-time analysis of structural vibrations using Hilbert-Huang transform[R].AIAA-2004-1975,2004. [12] Pai P F,HU Jiazhu.Nonlinear structural dynamics characterization by decomposing time signals using Hilbert-Huang transform[R].AIAA-2006-1882,2006. [13] 龚志强,邹明玮,高新全,等.基于非线性时间序列分析经验模态分解和小波分解异同性的研究[J].物理学报,2005,54(8):3947-3958. GONG Zhiqiang,ZOU Mingwei,GAO Xinquan,et al.On the difference between empirical mode decomposition and wavelet decomposition in the nonlinear time series[J].Acta Physica Sinica,2005,54(8):3947-3958.(in Chinese) [14] 徐晓刚,徐冠雷,王孝通,等.经验模式分解(EMD)及其应用[J].电子学报,2009,37(3):581-585. XU Xiaogang,XU Guanlei,WANG Xiaotong,et al.Empirical mode decomposition and its application[J].Acta Electronica Sinica,2009,37(3):581-585.(in Chinese) [15] 王婷.EMD算法研究及其在信号去噪中的应用[D].哈尔滨:哈尔滨工程大学,2010. WANG Ting.Research on EMD algorithm and its application in signal denoising[D].Harbin:Harbin Engineering University,2010.(in Chinese) [16] 付晓波.经验模态分解法理论研究与应用[D].太原:太原理工大学,2013. FU Xiaobo.Research on empirical mode decomposition theory and its application[D].Taiyuan:Taiyuan University of Technology,2013.(in Chinese) [17] Chu P C,Fan C W,Huang N E.Derivative-optimized empirical mode decomposition for the Hilbert-Huang transform[J].Journal of Computational and Applied Mathematics,2014,259(6):57-64. [18] Schlurmann T.Spectral analysis of nonlinear water waves based on the Hilbert-Huang transformation[J].Journal of Offshore Mechanics and Arctic Engineering,2002,124(1):22-27. [19] Yang F,Fan C A,Chen F.Application of the empirical mode decomposition method to the identification of disc brake squeal[R].ASME Paper IMECE 2002-39224,2002.
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