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High Resolution Global NOx Sub-Model for Embedded System Application with Low Calibration Effort
Technical Paper
2020-01-0246
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
The starting point of the present work is a global model of NOx formation for stoichiometric and lean combustion of hydrocarbons developed on the basis of a single non-linear algebraic equation. The latter is the exact solution of a system of differential equations describing the main kinetic reaction schemes of NOx formation, because it’s been analytically derived. The NOx sub-model incorporates the well-established thermal (extended Zeldovich) and the N2O reaction paths, which are considered to be the most relevant NOx production paths under certain operating conditions in arbitrary engine application. Furthermore, the NOx sub-model proposed here relies on well-established and adopted mechanisms like the GRI-Mech 3.0 [25] and consequently requires no parameter adjustment.
The single equation NOx sub-model has been developed by the authors in a previous study [14] and shown satisfactory results when validated against test bench data of two different engines operated under stoichiometric and lean burn combustion conditions respectively. Therefore, there is a strong evidence, that its implementation on embedded systems for "in-situ" and "in memory" analysis of engine process data, or even its application as a virtual sensor, is of great importance. Unfortunately, the previous developed NOx sub-model requires a few seconds running time per engine cycle. This long running time makes the model though less attractive for a real-time application. In the current study the main goal is to drastically reduce the computational times without compromising robustness and accuracy. The requirements for the time resolution on a dSpace Microautobox (MAB) is set to at least 1 kHz, meaning running times of the NOx sub-model of 1 ms per engine cycle, while its accuracy needs to be ensured at the levels of the detailed NOx sub-model as validated in [14].
The computationally most expensive steps have been identified and concern on the one hand the chemical equilibrium calculations based on the minimization of the free Gibbs energy and on the other hand the iterative solution method of the non-linear algebraic equation for the determination of the actual NOx concentration. Approaches for both steps have been developed and tested on the dSpace MAB II leading to an average computational time of 20 μs per point. Main focus of the present work is on the NOx sub-model and not the associated thermodynamic sub-models needed to describe the whole process. In order to cope with any uncertainties in NOx sub-model’s input parameters (p, T and mixture composition) only one calibration factor has been introduced and hence leads to low calibration effort. The final NOx sub-model results are compared to the detailed model and show a very good agreement.
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Citation
Bikas, G., Weigand, P., Brilz, M., and Michos, K., "High Resolution Global NOx Sub-Model for Embedded System Application with Low Calibration Effort," SAE Technical Paper 2020-01-0246, 2020, https://doi.org/10.4271/2020-01-0246.Data Sets - Support Documents
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References
- Guardiola , C. , Pla , B. , Blanco-Rodriguez , D. , and Calendini , P.O. ECU-Oriented Models for NOx Prediction. Part 1: A Mean Value Engine Model for NOx Prediction Proc IMechE Part D: J Automobile Engineering I-24 2014 10.1177/0954407014550191
- Lee , S. , Lee , Y. , Kim , G. , and Min , K. Development of a Real-Time Virtual Nitric Oxide Sensor for Light-Duty Diesel Engines Energies 10 284 2017 10.3390/en10030284
- Guardiola , C. , Lopez , J. , Martin , J. , and Garcia-Sarmiento , D. Semi-Empirical In-Cylinder Pressure Based Model for NOx Prediction Oriented to Control Applications Appl Thermal Engng 31 16 3275 3286 2011
- Westlund , A. 2011
- Arsie , I. , Pianese , C. , and Rizzo , G. An Integrated System of Models for Performance and Emissions in SI Engines: Development and Identification SAE Technical Paper 2003-01-1052 2003 https://doi.org/10.4271/2003-01-1052
- Schilling , A. , Amstutz , A. , Onder , C. , and Guzzella , L. A Realtime Model for the Prediction of the NOx Emissions in DI Diesel Engines 2006 IEEE International Conference on Control Applications Munich, Germany 2006 2042 2047
- Lavoie , G.A. , Heywood , J.B. , and Keck , J.C. Experimental and Theoretical Study of Nitric Oxide Formation in Internal Combustion Engines Combustion Science and Technology 1 313 326 1970
- Dean , A.M. and Bozzelli , J.W. Combustion Chemistry of Nitrogen Gardiner , W.C. Jr. Combustion Chemistry 2nd New York Springer-Verlag 2000
- Miller , J.A. and Bowman , C.T. Mechanism and Modeling of Nitrogen Chemistry in Combustion Progress in Energy and Combustion Science 15 287 338 1989
- Glarborg , P. , Dam-Johansen , K. , Miller , J.A. , Kee , R.J. , and Coltron , M.E. Modeling the Thermal DENOx Process in Flow Reactors, Surface Effects and Nitrous Oxide Formation International Journal of Chemical Kinetics 26 421 436 1994
- Miller , R. , Davis , G. , Lavoie , G. , Newman , C. , and Gardner , T. A Super-Extended Zeldovich Mechanism for NOx Modeling and Engine Calibration SAE Technical Paper 980781 1998 https://doi.org/10.4271/980781
- Hewson , J.C. and Bollig , M. Reduced Mechanisms for NOx Emissions from Hydrocarbon Diffusion Flames Proceedings of the 26th Symposium (International) on Combustion 1996 2171 2179
- Löffler , G. , Sieber , R. , Harasek , M. , Hofbauer , H. et al. NOx Formation in Natural Gas Combustion - a New Simplified Reaction Scheme for CFD Calculations Fuel 85 513 523 2006
- Michos , K. , Bikas , G. , and Vlaskos , I. A New Global Algebraic Model for NO x Emissions Formation in Post-Flame Gases - Application to Lean Premixed Combustion Systems SAE Technical Paper 2016-01-0803 2016 2016 https://doi.org/10.4271/2016-01-0803
- Bikas , G. , Michos , K. , and Vlaskos , I. Ein Neues Globales Algebraisches Modell der NOx-Bildung für Erdgasmotoren MTZ 12 64 69 2015
- Malte , P.C. and Pratt , D.T. The Role of Energy-Releasing Kinetics in NOx Formation: Fuel Lean, Jet-Stirred CO-Air Combustion Combustion Science and Technology 9 221 231 1974
- Drake , M.C. and Blint , R.J. Calculations of NOx Formation Pathways in Propagating Laminar, High Pressure Premixed Methane/Air Flames Combustion Science and Technology 75 261 285 1991
- Bozzelli , J.W. and Dean , A.M. O + NNH: A Possible New Route for NOx Formation in Flames International Journal of Chemical Kinetics 27 1097 1109 1995
- Fenimore , C.P. Formation of Nitric Oxide in Premixed Hydrocarbon Flames Proceedings of the 13th Symposium (International) on Combustion 1971 373 380
- Fenimore , C.P. Reactions of Fuel-Nitrogen in Rich Flame Gases Combustion and Flame 26 249 256 1976
- Michos , K. and Bikas , G. 2020
- Gordon , S. and McBride , B.J. 1994
- McBride , B.J. , Gordon , S. 1996
- Bikas , G. 2018
- Smith , G.P. , Golden , D.M. , Frenklach , M. , Moriarty , N.W. , Eiteneer , B. , Goldenberg , M. , Bowman , C.T. , Hanson , R.K. , Song , S. Jr. , Gardiner , W.C. , Lissianski , V.V. , and Zhiwei , Q. http:/www.me.berkeley.edu/gri_mech
- Hanson , R.K. and Salimian , S. Gardiner , W.C. Jr. Combustion Chemistry New York Springer-Verlag 1984
- Law , C.K. Combustion Physics Cambridge Cambridge University Press 2006