This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
A Simple Model of Cyclic Variation
Technical Paper
2012-32-0003
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
A simple model to simulate cycle-by-cycle variation that is
suitable for use in Monte-Carlo approaches has been developed and
validated with a wide range of experimental data. The model is
intended to be diagnostic rather than predictive in nature, with a
goal of providing realistic in-cylinder pressures. The
individual-cycle cumulative rate of heat release was curve fit with
a four-parameter Wiebe function. It was found that the distribution
of the Wiebe b-parameter was quite small, so its value was obtained
from the ensemble-averaged condition. The remaining three Wiebe
function parameters, θig, θcomb and m were
found to be distributed over a moderate range, and were linearly
correlated to each other. Using the cumulative density function of
θig, and the linear fit of θcomb and m to
θig, with a random component added, a Monte-Carlo scheme
was developed. The resulting randomly chosen cycles were found to
adequately reproduce the observed cyclic variation at the same
condition, and can be used with higher-order models to assess the
impact of cyclic variations on other cylinder-pressure-driven
phenomena.
Recommended Content
| Technical Paper | PASSENGER-CAR BRAKE PERFORMANCE Limitations and Future Requirements |
| Technical Paper | The Spray Models and Their Influence on Ignition |
Citation
Kim, K. and Ghandhi, J., "A Simple Model of Cyclic Variation," SAE Technical Paper 2012-32-0003, 2012, https://doi.org/10.4271/2012-32-0003.Also In
References
- Karim, G.A. “An Examination of the Nature of the Random Cyclic Pressure Variations in a Spark-Ignition Engine,” Journal of the Institute of Petroleum 53 519 112 120 1967 0020-3068
- Barton, R.K. Lestz, S.S. Meyer, W.E. “An Empirical Model for Correlating Cycle-by-Cycle Cylinder Gas Motion and Combustion Variations of a Spark Ignition Engine,” SAE Technical Paper 710163 1971 10.4271/710163
- Soltau, J.P. Eng, B. “Cylinder Pressure Variations in Petrol Engines,” Proceedings of the Institution of Mechanical Engineers: Automobile Division 14 1 99 117 1960 10.1243/PIME_AUTO_1960_000_014_02
- Heywood, J.B. “Internal Combustion Engine Fundamentals,” McGraw-Hill 0-07-100499-8 1988
- Ozdor, N. Dulger, M. Sher, E. “Cyclic Variability in Spark Ignition Engines A Literature Survey,” SAE Technical Paper 940987 1994 10.4271/940987
- Young, M.B. “Cyclic Dispersion in the Homogeneous-Charge Spark-Ignition Engine-A Literature Survey,” SAE Technical Paper 810020 1981 10.4271/810020
- Winsor, R.E. Patterson, D.J. “Mixture Turbulence - A Key to Cyclic Combustion Variation,” SAE Technical Paper 730086 1973 10.4271/730086
- Stevens, S.P. Shayler, P.J. Ma, T.H. “The Impact of Combustion Phasing on Cycle-by-Cycle Performance of a Spark Ignition Engine,” SAE Technical Paper 950687 1995 10.4271/950687
- Grünefeld, G. Beushausen, V. Andresen, P. Hentschel, W. “A Major Origin of Cyclic Energy Conversion Variations in SI Engines: Cycle-by-Cycle Variations of the Equivalence Ratio and Residual Gas of the Initial Charge,” SAE Technical Paper 941880 1994 10.4271/941880
- Johansson, B. Neij, H. Aid,n, M. Juhlin, G. “Investigations of the Influence of Mixture Preparation on Cyclic Variations in a SI-Engine, Using Laser Induced Fluorescence,” SAE Technical Paper 950108 1995 10.4271/950108
- Kalghatgi, G.T. “Spark Ignition, Early Flame Development and Cyclic Variation in I.C. Engines,” SAE Technical Paper 870163 1987 10.4271/870163
- Stone, C.R. Brown, A.G. Beckwith, P. “Cycle-by-Cycle Variations in Spark Ignition Engine Combustion - Part II: Modelling of Flame Kernel Displacements as a Cause of Cycle-by-Cycle Variations,” SAE Technical Paper 960613 1996 10.4271/960613
- Hall, M.J. “The Influence of Fluid Motion on Flame Kernel Development and Cyclic Variation in a Spark Ignition Engine,” SAE Technical Paper 890991 1989 10.4271/890991
- Shen, H. Hinze, P.C. Heywood, J.B. “A Study of Cycle-to-Cycle Variations in SI Engines Using a Modified Quasi-Dimensional Model,” SAE Technical Paper 961187 1996 10.4271/961187
- Matthews, R.D. Sarwar, M.G. Hall, M.J. Filipe, D.J. et al. “Predictions of Cyclic Variability in an SI Engine and Comparisons with Experimental Data,” SAE Technical Paper 912345 1991 10.4271/912345
- Brown, A.G. Stone, C.R. Beckwith, P. “Cycle-by-Cycle Variations in Spark Ignition Engine Combustion - Part I: Flame Speed and Combustion Measurements and a Simplified Turbulent Combustion Model,” SAE Technical Paper 960612 1996 10.4271/960612
- Etheridge, J. Mosbach, S. Kraft, M. Wu, H. et al. “Modelling cycle to cycle variations in an SI engine with detailed chemical kinetics,” Combustion and Flame 158 1 179 188 2011 10.1016/j.combustflame.2010.08.006
- Dai, W. Trigui, N. Lu, Y. “Modeling of Cyclic Variations in Spark-Ignition Engines,” SAE Technical Paper 2000-01-2036 2000 10.4271/2000-01-2036
- Martin, J.K. Plee, S.L. Remboski, D.J. “Burn Modes and Prior-Cycle Effects on Cyclic Variations in Lean-Burn Spark-Ignition Engine Combustion,” SAE Technical Paper 880201 1988 10.4271/880201
- Chakravarthy, K. Wagner, R. Daw, S. “On the Use of Thermodynamic Modeling for Predicting Cycle-to-Cycle Variations in a SI Engine under Lean Conditions,” SAE Technical Paper 2005-01-3802 2005 10.4271/2005-01-3802
- Gogan, A. Sundén, B. Lehtiniemi, H. Mauss, F. “Stochastic Model for the Investigation of the Influence of Turbulent Mixing on Engine Knock,” SAE Technical Paper 2004-01-2999 2004 10.4271/2004-01-2999
- Tunér, M. Karlsson, M. Mauss, F. “Studying HCCI Combustion and its Cyclic Variations Versus Heat Transfer, Mixing and Discretization using a PDF Based Approach,” SAE Technical Paper 2009-01-0667 2009 10.4271/2009-01-0667
- Kim, K. Ghandhi, J. “Preliminary Results from a Simplified Approach to Modeling the Distribution of Engine Knock,” SAE Technical Paper 2012-32-0004 2012 10.4271/2012-32-0004