This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Symbolic Sensitivity Analysis of Math-Based Spark Ignition Engine with Two-Zone Combustion Model
Technical Paper
2014-01-1072
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
This paper presents a math-based spark ignition (SI) engine model for fast simulation with enough fidelity to predict in-cylinder thermodynamic properties at each crank angle. The quasi-dimensional modelling approach is chosen to simulate four-stroke operation. The combustion model is formulated based on two-zone combustion theory with a turbulent flame propagation model [1].
Cylinder design parameters such as bore and stroke play an important role to achieve higher performance (e.g. power) and reduce undesirable in-cylinder phenomenon (e.g. knocking). A symbolic sensitivity analysis is used to study the effect of the design parameters on the SI engine performance. We used the symbolic Maple/MapleSim environment to obtain highly-optimized simulation code [3]. It also facilitates a sensitivity analysis that identifies the critical parameters for design and control purposes. Among various schemes used in the sensitivity analysis of dynamical systems, internal differentiation is used in this research project due to its reliability and robustness [4].
In this study, the symbolic sensitivity functions are generated and solved along with two-zone combustion DAEs (differential-algebraic equations) at each crank angle.
Recommended Content
Authors
Citation
Adibi asl, H., Masoudi, R., Fraser, R., and McPhee, J., "Symbolic Sensitivity Analysis of Math-Based Spark Ignition Engine with Two-Zone Combustion Model," SAE Technical Paper 2014-01-1072, 2014, https://doi.org/10.4271/2014-01-1072.Also In
References
- Verhelst , S. and Sheppard , C. G. Multi-zone Thermodynamic Modeling of Spark Ignition Engine Combustion - an Overview Int. J. Energy Conversion and Management 50 5 1326 1335 2009
- GT-Power. Version v 7.3.0 The Gamma Technologies Inc. Westmont, USA 2013
- Schmitke , C. , and Goossens , P. Symbolic Computation Techniques for Multibody Model Development and Code Generation Springer, University of Michigan Ann Arbor 1993
- Ostermann , A. Sensitivity Analysis, Analyzing Uncertainty in Civil Engineering Springer Berlin Heidelberg 101 114 2005
- Elmqvist , H. , Bruck , D. , Otter , M. Dymola user's manual Dynasim AB Research Park Ideon, Lund, Sweden 1996
- MapleSim. Version 6.1 Maplesoft Inc. Waterloo, Canada 2013
- Manual SIMULINK. Using Simulink, Version 4 the Math Works Inc. 2000
- Heywood , J. B. Internal Combustion Engine Fundamentals 930 New York McGraw-Hill 1988
- Kristensen , Morton , R. , Bagterp , J. et al. An ESDIRK Method with Sensitivity Analysis Capabilities Computer & Chemical Engineering 28 12 2695 2707 2004
- Ramos , J. Internal Combustion Engine Modeling 80 Hemisphere Publishing Corporation New York 1989
- Blizard , N. C. , Keck , J. C. Experimental and Theoretical Investigation of Turbulent Burning Model for Internal Combustion Engines Technical Report 1974
- Tabaczynski , R. , Ferguson , C. , Radhakrishnan , K. Turbulent Entrainment Model for Spark Ignition Engine Combustion Technical Report Society of Automotive Engineers, Inc. Warrendale, PA 1977
- Hohenberg , G. Advanced Approaches for Heat Transfer Calculation 1979
- Saltelli , A. , Tarantola , S. , Campolongo , F. Sensitivity Analysis as an Ingredient of Modeling Statistical Science 377 395 2000