A statistical model for combustion resonance from a DI diesel engine with applications

Introduced in this paper is a Bayesian model for isolating the resonant frequency from combustion chamber resonance. The model shown in this paper focused on characterising the initial rise in the resonant frequency to investigate the rise of in-cylinder bulk temperature associated with combustion. By resolving the model parameters, it is possible to determine: the start of pre-mixed combustion, the start of diffusion combustion, the initial resonant frequency, the resonant frequency as a function of crank angle, the in-cylinder bulk temperature as a function of crank angle and the trapped mass as a function of crank angle. The Bayesian method allows for individual cycles to be examined without cycle-averaging|allowing inter-cycle variability studies. Results are shown for a turbo-charged, common-rail compression ignition engine run at 2000 rpm and full load.

[1]  E. T. Jaynes,et al.  Bayesian Spectrum and Chirp Analysis , 1987 .

[2]  Timothy A. Bodisco,et al.  Bayesian models for the determination of resonant frequencies in a DI diesel engine , 2011 .

[3]  John Abraham,et al.  Influence of fuel injection parameters on combustion-induced noise in a small diesel engine , 2012 .

[4]  Fulei Chu,et al.  Application of the wavelet transform in machine condition monitoring and fault diagnostics: a review with bibliography , 2004 .

[5]  Hongkun Li,et al.  Diesel Engine Condition Classification Based on Mechanical Dynamics and Time-Frequency Image Processing , 2010 .

[6]  Time–Frequency–Wavenumber Analysis of Surface Waves Using the Continuous Wavelet Transform , 2013, Pure and Applied Geophysics.

[7]  K. Nishida,et al.  Simplified Three-Dimensional Modeling of Mixture Formation and Combustion in a D.I. Diesel Engine , 1989 .

[8]  James S. Walker.  Fast Fourier Transforms , 1991 .

[9]  G. C. Tiao,et al.  Bayesian inference in statistical analysis , 1973 .

[10]  Robert B. Randall.  Frequency Analysis , 1987 .

[11]  Douglas A. Feldmaier,et al.  Cavity resonances in engine combustion chambers and some applications , 1983 .

[12]  A. Masri,et al.  A new burner for studying auto-ignition in turbulent dilute sprays , 2011 .

[13]  Samantha Low Choy,et al.  A Bayesian approach to the determination of ignition delay , 2013 .

[14]  Andrew Ball,et al.  A STUDY OF THE NOISE FROM DIESEL ENGINES USING THE INDEPENDENT COMPONENT ANALYSIS , 2001 .

[15]  T. Loredo,et al.  A new method for the detection of a periodic signal of unknown shape and period , 1992 .

[16]  J.F. Bohme,et al.  Statistical Processing of Car Engine Signals for Combustion Diagnosis , 1994, IEEE Seventh SP Workshop on Statistical Signal and Array Processing.

[17]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[18]  Dennis N. Assanis,et al.  Multi-Zone DI Diesel Spray Combustion Model for Cycle Simulation Studies of Engine Performance and Emissions , 2001 .

[19]  A. Masri,et al.  The Structure of the Auto-Ignition Region of Turbulent Dilute Methanol Sprays Issuing in a Vitiated Co-flow , 2012 .

[20]  R. B. Randall,et al.  Influence of the resonant frequency on the control of knock in diesel engines , 1999 .

[21]  Alberto Broatch,et al.  New methodology for in-cylinder pressure analysis in direct injection diesel engines—application to combustion noise , 2005 .

[22]  Jun Han,et al.  Identification of diesel front sound source based on continuous wavelet transform , 2004, Journal of Zhejiang University. Science.

[23]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[24]  Alberto Broatch,et al.  Combustion chamber resonances in direct injection automotive diesel engines: A numerical approach , 2004 .

[25]  Grzegorz Litak,et al.  Analysis of cycle-to-cycle pressure oscillations in a diesel engine , 2008 .

[26]  L. Dou,et al.  Bayesian inference and Gibbs sampling in spectral analysis and parameter estimation: II , 1995 .

[27]  Timothy A. Bodisco,et al.  Inter-cycle variability of in-cylinder pressure parameters in an ethanol fumigated common rail diesel engine , 2013 .

[28]  C. Ray Smith,et al.  Bayesian Analysis Of Signals From Closely-Spaced Objects , 1989, Photonics West - Lasers and Applications in Science and Engineering.

[29]  E. Ranzi,et al.  A wide range modeling study of NOx formation and nitrogen chemistry in hydrogen combustion , 2006 .

[30]  John B. Heywood,et al.  Internal combustion engine fundamentals , 1988 .

[31]  S. Jayaraj,et al.  Performance and emission evaluation of a diesel engine fueled with methyl esters of rubber seed oil , 2005 .

[32]  G. Larry Bretthorst,et al.  Excerpts from Bayesian Spectrum Analysis and Parameter Estimation , 1988 .

[33]  LJubisa Stankovic,et al.  Time-frequency analysis of multiple resonances in combustion engine signals , 1999, Signal Process..

[34]  Martin Vetterli,et al.  Fast Fourier transforms: a tutorial review and a state of the art , 1990 .