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Global Optimization of a Two-Pulse Fuel Injection Strategy for a Diesel Engine Using Interpolation and a Gradient-Based Method
Technical Paper
2007-01-0248
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
A global optimization method has been developed for an engine simulation code and utilized in the search of optimal fuel injection strategies. This method uses a Lagrange interpolation function which interpolates engine output data generated at the vertices and the intermediate points of the input parameters. This interpolation function is then used to find a global minimum over the entire parameter set, which in turn becomes the starting point of a CFD-based optimization. The CFD optimization is based on a steepest descent method with an adaptive cost function, where the line searches are performed with a fast-converging backtracking algorithm. The adaptive cost function is based on the penalty method, where the penalty coefficient is increased after every line search. The parameter space is normalized and, thus, the optimization occurs over the unit cube in higher-dimensional space.
The application of this optimization method is demonstrated for a non-road version of the Sulzer S20 DI diesel engine equipped with a common rail injection system. Optimizations have been performed for a two fuel pulse injection strategy, where the optimization parameters include the start of the injections and the injection durations. It has been demonstrated that this optimization method is computationally efficient and has a big potential for finding optimal engine operating conditions which reduce emissions while maintaining a low fuel consumption.
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Tanner, F. and Srinivasan, S., "Global Optimization of a Two-Pulse Fuel Injection Strategy for a Diesel Engine Using Interpolation and a Gradient-Based Method," SAE Technical Paper 2007-01-0248, 2007, https://doi.org/10.4271/2007-01-0248.Also In
References
- Haupt, R. L. Haupt, S. E. Practical Genetic Algorithms John Wiley and Sons Inc. New York 1998
- Senecal, P. Reitz, R. “Optimization of Diesel Engine Emissions and Fuel Efficiency Using Genetic Algorithms and Computational Fluid Dynamics,” Tenth International Multidimensional Engine Modeling Meeting Detroit, MI March 2000
- Senecal, P. Reitz, R. “Simultaneous Reduction of Engine Emissions and Fuel Consumption Using Genetic Algorithms and Multi-Dimensional Spray and Combustion Modeling,” SAE Paper 2000-01-1890 2000
- Senecal, P. Montgomery, D. Reitz, R. “Diesel Engine Optimization Using Multi-Dimensional Modeling and Genetic Algorithms Applied to a Medium Speed, High Load Operating Condition,” Proc. Fall Technical Conference of the ASME ICE Division, 99-ICE-244 2000
- Wickman, D. Senecal, P. Reitz, R. “Diesel Engine Combustion Chamber Geometry Optimization Using Genetic Algorithms and Multi-Dimensional Spray and Combustion Modeling,” SAE Paper 2001-01-0547 2001
- Bergin, M. J. Hessel, R. P. Reitz, R. D. “Optimization of a Large Diesel Engine via Spin Spray Combustion,” SAE Paper 2005-01-0916 2005
- Kim, M. Liechty, M. P. Reitz, R. D. “Application of Micro-Genetic Algorithms for the Optimization of Injection Strategies in a Heavy-Duty Diesel Engine,” SAE Paper 2005-01-0219 2005
- Liu, Y. Reitz, R. D. “Optimizing HSDI Diesel Combustion and Emissions Using Multiple Injection Strategies,” SAE Paper 2005-01-0212 2005
- Tanner, F. Srinivasan, S. “Gradient-Based Optimization of a Multi-Orifice Asynchronous Injection System in a Diesel Engine Using an Adaptive Cost Function,” SAE Paper 2006-01-1551 2006
- Srinivasan, S. Macek, J. Polacek, M. Tanner, F.X. “Computational Optimization of Split Injection and EGR in a Diesel Engine Using an Adaptive Gradient-Based Algorithm,” SAE Paper 2006-01-0059 2006
- United States Environmental Protection Agency “Control of Emissions of Air Pollution From Nonroad Diesel Engines,” Federal Register 63 205 56967 57023 October 23 1998
- Heath, M. T. Scientific Computing: An Introductory Survey McGraw-Hill, Inc. New York 2nd 2002
- Dennis, J. Schnabel, R. B. Numerical Methods for Unconstrained Optimization and Nonlinear Equations Prentice Hall Englewood Cliffs, N.J. 1983
- Amsden, A. A. “KIVA-3: A KIVA Program with Block-Structured Mesh for Complex Geometries,” Los Alamos National Laboratory March 1993
- Han, Z. Y. Reitz, R. D. “Turbulence Modeling of Internal Combustion Engines Using RNG k-ε Models,” Combust. Sci. and Tech. 106 267 295 1995
- Tanner, F.X. “A Cascade Atomization and Drop Breakup Model for the Simulation of High-Pressure Liquid Jets,” SAE Paper 2003-01-1044 2003
- Tanner, F.X. “Development and Validation of a Cascade Atomization and Drop Breakup Model for High-Velocity Dense Sprays,” Atomization and Sprays 14 3 211 242 2004
- Tanner, F.X. “Validation of an Auto-Ignition Model Based on a Transport Equation of a Characteristic Ignition Progress Variable,” Proc. 15th ILASS-Americas Annual Conference Madison, Wisconsin 98 102 May 2002
- Abraham, J. Bracco, F. V. Reitz, R. D. “Comparisons of Computed and Measured Premixed Charge Engine Combustion,” Combustion and Flame 60 309 322 1985
- Kong, S.-C. Reitz, R. D. “Multidimensional Modeling of Diesel Ignition and Combustion Using a Multistep Kinetics Model,” Journal of Engineering for Gas Turbines and Power 115 781 789 1993
- Flowers, W. L. Manson, R. K. Kruger, C. H. “Kinetics of the Reaction of Nitric Oxide with Hydrogen,” Fifteenth Symposium (International) on Combustion/The Combustion Institute 823 832 1975
- Bradley, J. N. Craggs, P. “Reaction of Hydrogen with Nitric Oxide at High Temperature,” Fifteenth Symposium (International) on Combustion/The Combustion Institute 833 842 1975
- Duxbury, J. Pratt, N. H. “A Shock Tube Study of NO Kinetics in the Presence of H 2 and Fuel-N,” Fifteenth Symposium (International) on Combustion/The Combustion Institute 843 855 1975
- Monat, J. P. Hanson, R. K. Kruger, C. H. “Shock Tube Treatment of the Rate Coefficient for the Reaction N 2 + O → NO + N ,” Seventeenth Symposium (International) on Combustion/The Combustion Institute 543 552 1979
- Heywood, J. B. Internal Combustion Engine Fundamentals McGraw-Hill New York 1988
- Hiroyasu, H. Kadota, T. “Models for Combustion and Formation of Nitric Oxide and Soot in Direct Injection Diesel Engines,” SAE Paper 760129 1976
- Nagle, J. Strickland-Constable, R. “Oxidation of Carbon between 1000-2000 C,” Proc. Fifth Carbon Conference 1 Pergammon Press 154 1962
- Chan, M. Das, S. Reitz, R. D. “Modeling Multiple Injection and EGR Effects on Diesel Engine Emissions,” SAE Paper 972864 1997
- Stebler, H. Luft- und brennstoffseitige Massnahmen zur internen NOx-Reduktion von schnellaufenden direkteingespritzten Diesel Motoren Swiss Federal Institute of Technology (ETH) 1998