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Control-Oriented Enhanced Zero-Dimensional Two-Zone Combustion Modelling of Internal Combustion Engines

Authors: Hadi Adibi-Asl, Razieh Arian


This paper investigates an efficient combustion modeling for cycle simulation of internal combustion engine (ICE) studies. The term “efficient model” means that the models must generate desired simulation results while having fast simulation time. In other words, the efficient model is defined based on the application of the model. The objective of this study is to develop math-based models for control applications or shortly control-oriented models. This study compares different modeling approaches used to model the ICEs such as mean-value models, zero dimensional, quasi-dimensional, and multi-dimensional models for control applications. Mean-value models have been widely used for model-based control applications, but recently by developing advanced simulation tools (e.g. Maple/MapleSim) the higher order models (more complex) could be considered as control-oriented models. This paper presents the enhanced zero-dimensional cycle-by-cycle modeling and simulation of a spark ignition engine with a two-zone combustion model. The simulation results are cross-validated against the simulation results from GT-Power package and show a good agreement in terms of trends and values.

Keywords: internal combustion engine, Two-zone combustion, control-oriented model, wiebe function

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[1] MapleSim ®, Version 6.1. The Maplesoft Inc., Waterloo, Canada, 2013.
[2] H. Adibi-Asl, M. Saeedi, R. Fraser, P. Goossens, and J. McPhee, Mean Value Engine Model Including Spark Timing for Powertrain Control Application, SAE Technical Paper, 2013-01-0247, 2013.
[3] H. Bayraktar and O. Durgun, Development of an Empirical Correlation for Combustion Durations in Spark Ignition Engines, Journal of Energy Conversion and Management, 45(9): 1419-1431, 2004.
[4] S. Vehelst and C. Sheppard, Multi-zone Thermodynamic Modelling of Spark Ignition Engine Combustion – an Overview, Journal of Energy Conversion and Management, 50 (5): 1326-1335, 2009.
[5] S. Rousseau, B. Lemoult, and M. Tazerout, Combustion Characterization of Natural Gas in a Lean Burn Spark Ignition Engine, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 213.5 (1999): 481-489.
[6] GT-Power, Version v 7.3.0 Manual/Tutorial in Spark Ignition Engine Modeling, The Gamma Technologies Inc., Westmont, USA, 2013.
[7] J. I. Ramos, Internal Combustion Engine Modeling, Volume 80, Hemisphere Publishing Corporation New York, 1989.
[8] H. Adibi-Asl, Acausal Powertrain Modelling with Application to Model-based Powertrain Control, PhD Diss., University of Waterloo, 2014.
[9] J. B. Heywood, Internal Combustion Engine Fundamentals, Vol. 930, New York, Mcgraw-hill, 1988.
[10] N. C. Blizard and J. C. Keck, Experimental and Theoretical Investigation of Turbulent Burning Model for Internal Combustion Engines, SAE Technical Paper, 740191, 1974.
[11] R. J. Tabaczynski, C. R. Ferguson, and K. Radhakrishnan, Turbulent Entrainment Model for Spark Ignition Engine Combustion, SAE Technical Paper, 7706146-5, 1977.
[12] R. Masoudi, H. Adibi-Asl, N. L. Azad, and J. McPhee, Parameter Identification of a Quasi-dimensional Spark Ignition Engine Model, SAE Technical Paper, 2014-01-0385, 2014.