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Bayesian estimate of pre-mixed and diffusive rate of heat release phases in marine diesel engines

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Abstract

The rate of heat released during the combustion in Diesel engines is important for many reasons, including performance evaluation, pollutant formation, and control. Combustion in Diesel engines can be generally divided into three phases: pre-mixed, diffusive or mixed-controlled, and late combustion. The objective of this paper is to estimate the rate of heat released by the fuel in a marine Diesel engine, in order to identify the pre-mixed and diffusive phases, using the Sampling Importance Resampling (SIR) Bayesian Particle Filter. Experimental pressure data obtained from a piezoelectric sensor, installed in a research marine diesel engine (MAN Innovator 4c), was used to feed the observation model in such Bayesian approach. The evolution model for the pressure was formulated in terms of a set of ordinary differential equations, coming from the First Law of Thermodynamics, together with a random walk model for the unknown state variable. The proposed approach was able to identify the pre-mixed and diffusive combustion phases, for different engine loads. Results were compared with a simple inversion procedure, showing a good agreement. The combustion ignition delay was also calculated, showing its variation with the engine load.

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Abbreviations

A :

Area

A/F:

Air/fuel ratio

B :

Piston bore

CA:

Crankshaft angle

f :

Linear or non-linear function of the state variables

g :

Linear or non-linear function representing the observation model

h :

Heat transfer coefficient

LHV:

Lower heating value

m :

Mass

n :

Engine speed in Hz

n :

Vector of noise associated with the observation model

P :

Pressure

Q :

Heat

t :

Time

T :

Temperature

v :

Average gas velocity within the cylinder

v :

Vector of noise associated with the evolution model

V :

Volume

w :

Weights of particles

W :

Covariance matrix

x :

Mass fraction of burned fuel

y :

Vector of state variables

z :

Vector of observation variables

γ :

Polytropic coefficient

θ :

Crankshaft angle

π :

Probability density function

d:

Displaced

f:

Fuel

gas:

Gas mixture

m:

Mixture

meas:

Measured

mot:

Motored

r:

Reference

w:

Wall

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Acknowledgments

The authors would like to thank the Brazilian agencies for the fostering of science, Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) and Brazilan National Agency of Oil, Gas and Biofuels (ANP) for the financial support for this work. The support provided by Petrobras Research and Development Center (CENPES) and PEUGEOT (grant FAPERJ/PEUGEOT 111.161/2014) is also greatly appreciated. Mr. Marcelo Pasqualette and Ms. Fabiana Hamilton are also grateful to the PIBIC/UFRJ/CNPq and PRH37/ANP (http://prh.mecanica.ufrj.br) scholarships.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Federal University of Rio de Janeiro, PEM/COPPE-UFRJ, Cx. Postal 68503, Rio de Janeiro, 21941-972, Brazil

    Marcelo A. Pasqualette, Diego C. Estumano, Fabiana C. Hamilton, Marcelo J. Colaço, Albino J. K. Leiroz & Helcio R. B. Orlande

  2. Instituto SINTEF do Brasil, Rua Lauro Müller, 116/3006, Rio de Janeiro, 22290-160, Brazil

    Marcelo A. Pasqualette

  3. Petrobras Research and Development Center, Av. Horácio Macedo, 950, Ilha do Fundão, Rio de Janeiro, 21941-915, Brazil

    Rogério N. Carvalho

  4. Department of Mechanical and Materials Engineering, MAIDROC Laboratory, Florida International University, 10555 West Flagler Street, EC 3462, Miami, FL, 33174, USA

    George S. Dulikravich

Authors
  1. Marcelo A. Pasqualette
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  2. Diego C. Estumano
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  3. Fabiana C. Hamilton
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  4. Marcelo J. Colaço
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  5. Albino J. K. Leiroz
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  6. Helcio R. B. Orlande
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  7. Rogério N. Carvalho
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  8. George S. Dulikravich
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Corresponding author

Correspondence to Marcelo J. Colaço.

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Technical Editor: Francis HR Franca.

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Pasqualette, M.A., Estumano, D.C., Hamilton, F.C. et al. Bayesian estimate of pre-mixed and diffusive rate of heat release phases in marine diesel engines. J Braz. Soc. Mech. Sci. Eng. 39, 1835–1844 (2017). https://doi.org/10.1007/s40430-016-0649-9

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  • DOI: https://doi.org/10.1007/s40430-016-0649-9

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