This content is not included in your SAE MOBILUS subscription, or you are not logged in.
A Model-Based Technique for Spark Timing Control in an SI Engine Using Polynomial Regression Analysis
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 20, 2009 by SAE International in United States
Annotation ability available
Model-based methodologies for the engine calibration process, employing engine cycle simulation and polynomial regression analysis, have been developed and the reliability of the proposed method was confirmed by validating the model predictions with dynamometer test data. From the results, it was clear that the predictions by the engine cycle simulation with a knock model, which considers the two-stage hydrocarbon ignition characteristics of gasoline, were in good agreement with the dynamometer test data if the model tuning parameters were strictly adjusted. Physical model tuning and validation were done, followed by the creation of a dataset for the regression analysis of charging efficiency, EGR mass, and MBT using a 4th order polynomial equation. The stepwise method was demonstrated to yield a logarithm likelihood ratio and its false probability at each term in the polynomial equation. The use of false acceptance probability enables an informed decision to be made with regard to the tradeoff between polynomial equation size and goodness of fit. The reliability of the logic was investigated by implementing the regression models into MBT control logic. The MBT outputs are in good agreement with dynamometer test data for different intake valve timing and RON near the operational conditions under which the model tuning was made.
CitationSuzuki, K. and Nemoto, M., "A Model-Based Technique for Spark Timing Control in an SI Engine Using Polynomial Regression Analysis," SAE Technical Paper 2009-01-0933, 2009, https://doi.org/10.4271/2009-01-0933.
- Holliday T., Lawrance A. J. and Davis T. P., “Engine –Mapping Experiments: A Two Stage Regression Approach,” Technometrics, Vol. 40, pp. 120-126, 1998.
- Rose D. W., Cary M., Zulczyk S. B., Sbaschnig R. and Ebrahimi K. M., “An Engine Mapping Case Study – A Two Stage Regression Approach,” ImechE C606/025/2002, 2002.
- Morton T. M. and Knott S., “Radial Basis Functions for Engine Modeling,” ImechE C606/022/2002, 2002.
- Guerrier M. and Cawsey P., “The Development of Model Based Methodologies for Gasoline IC Engine Calibration,” SAE Paper 2004-01-1466, 2004.
- Suzuki K., Nemoto M. and Machida K., “Computer-Aided Calibration Methodology for Spark Advance Control Using Engine Cycle Simulation and Polynomial Regression Analysis,” SAE Paper 2007-01-4023, 2007.
- Heywood J. B., Internal Combustion Engine Fundamentals, McGraw-Hill, Inc., 1988.
- Merker G. P., Schwarz C., Stiesch G. and Otto F., Simulating Combustion, Springer, 2005.
- Woschni G., “Universally Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engines,” SAE Paper 670931, 1967.
- Kuo K. K., Principles of Combustion, John Wiley & Sons, Inc., 2005.
- Gordon S. and McBride J. B., “Computer Program for the Calculation of Complex Chemical Equilibrium Composition, Rocket Performance, Incident and Reflected Shocks, and Chapman-Jouguet Detonation,” NASA publication SP-273, 1971.
- Blizard N. C. and Keck J. C., “Experimental and Theoretical Investigation of Turbulent Burning Model for Internal Combustion Engine,” SAE Paper 740191, 1974.
- Rhodes D. B. and Keck J. L., “Laminar Burning Speed Measurements of Indolene-Air Diluent Mixtures at High Pressures and High Temperatures,” SAE Paper 850047, 1985.
- Poulos S. G., and Heywood J. B., “The Effect of Chamber Geometry on Spark Ignition Engine Combustion,” SAE Paper 830334, 1983.
- Bozza F., Gimelli A., Merola S. S. and Vaglieco B. M., “Validation of Fractal Combustion Model through Flame Imaging,” SAE Paper 2005-01-1120, 2005.
- Cowart J. S., Keck J. C., Heywood J. B., “Engine Knock Prediction Using a Fully-Detailed and a Reduced Chemical Kinetic Mechanism,” Proceedings of 23rd International Symposium on Combustion, pp. 1055-1062, 1990.
- Foin C., Nishiwaki K. and Yoshihara Y., “A Diagnostic Bi-Zonal Combustion Model for the Study of Knock in Spark-Ignition Engines,” JSAE Review 20, pp. 401-406, 1999.
- Halstead M. P., Kirsch L. J. and Quinn C. P., “The Autoignition of Hydrocarbon Fuels at High Temperatures and Pressures – Fitting of a Mathematical Model,” Combustion and Flame 30, pp. 45-60, 1977.
- Ho S. Y. and Kuo T. W. “A Hydrocarbon Autoignition Model for Knocking Combustion in SI Engines,” SAE Paper 871672, 1987.
- Hu H. and Keck J., “Autoignition of Adiabatically Compressed Combustible Gas Mixtures,” SAE Paper 872110, 1987.
- Schreiber M., Sadat Sakak A., Lingens A. and Griffiths J. F., “A Reduced Thermokinetic Model for the Autoignition of Fuels with Variable Octane Ratings,” Proceedings of 25th International Symposium on Combustion, pp. 933-940, 1994.
- Livengood J. C. and Wu P. C., “Correlation of Autoignition Phenomenon in Internal Combustion Engines and Rapid Compression Machines,” Proceedings of 5th International Symposium on Combustion, Reinhold, 1955.
- Nishiwaki K., Yoshihara Y. and Saijyo K., “Numerical Analysis of the Location of Knock Initiation in S. I. Engines,” SAE Paper 2000-01-1897, 2000.
- Montgomery D. C., Peck E. A. and Vining G. G, Introduction to Linear Regression Analysis, John Wiley & Sons, Inc., 2001.
- Akaike H., “A New Look at the Statistical Model Identification,” Automatic Control, IEEE Transactions, Vol. 19, pp. 716-723, 1974.