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

• Published in: Journal of the Brazilian Society of Mechanical Sciences and Engineering Vol. 39; no. 5; pp. 1835 - 1844
• Main Authors: Pasqualette, Marcelo A., Estumano, Diego C., Hamilton, Fabiana C., Colaço, Marcelo J., Leiroz, Albino J. K., Orlande, Helcio R. B., Carvalho, Rogério N., Dulikravich, George S.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-05-2017; Springer Nature B.V
• Subjects: Bayesian analysis; Combustion; Diesel engines; Differential equations; Energy conservation law; Engineering; Engines; Marine engines; Mathematical analysis; Mechanical Engineering; Ordinary differential equations; Performance evaluation; Phases; Piezoelectricity; Pollutants; Random walk; Resampling; Technical Paper; Rate of heat release; Bayesian technique; Inverse problems
• ISSN: 1678-5878; 1806-3691
• DOI: 10.1007/s40430-016-0649-9

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.