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A fast and accurate physics-based model for the NOx emissions of Diesel engines

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  • Asprion, Jonas
  • Chinellato, Oscar
  • Guzzella, Lino

Abstract

To date, models for the nitrogen-oxide emissions of Diesel engines are either of empirical or phenomenological nature. The former are fast and quantitatively accurate in the identified region, but lack the generality and extrapolation capability of the latter. The model presented in this work combines the advantages of both model types and thus complies with typical requirements of computationally intensive fields such as dynamic optimisation and model-based control. This unique aggregation of features is achieved by extracting the most relevant physical phenomena and extending them by physically motivated empirical elements. Exploiting the assumptions made and using a setpoint-relative formulation leads to a simple model structure, comprising one map and 10 scalar parameters only. Execution speed is roughly 500 times faster than real-time and throughout the entire engine operating-range, also during transient operation, relative errors are below 10% even for the largest allowable, simultaneous variation of all inputs. Apart from engine speed and injected fuel-mass, the model requires the cylinder-charge, its composition, and the start of combustion with the corresponding pressure and temperature as inputs. The latter can either be obtained from measured in-cylinder pressure signals, or may be calculated from quantities provided by a model for the air path of the engine.

Suggested Citation

  • Asprion, Jonas & Chinellato, Oscar & Guzzella, Lino, 2013. "A fast and accurate physics-based model for the NOx emissions of Diesel engines," Applied Energy, Elsevier, vol. 103(C), pages 221-233.
    • Handle: RePEc:eee:appene:v:103:y:2013:i:c:p:221-233
    DOI: 10.1016/j.apenergy.2012.09.038
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    References listed on IDEAS

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    1. Aithal, S.M., 2010. "Modeling of NOx formation in diesel engines using finite-rate chemical kinetics," Applied Energy, Elsevier, vol. 87(7), pages 2256-2265, July.
    2. Aithal, S.M. & Upadhyay, D., 2012. "Feasibility study of the potential use of chemistry based emission predictions for real-time control of modern diesel engines," Applied Energy, Elsevier, vol. 91(1), pages 475-482.
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    Cited by:

    1. Stefano d’Ambrosio & Cosimo Di Dio & Roberto Finesso, 2023. "Model-Based Calibration and Control of Tailpipe Nitrogen Oxide Emissions in a Light-Duty Diesel Engine and Its Assessment through Model-In-The-Loop," Energies, MDPI, vol. 16(24), pages 1-29, December.
    2. Tauzia, Xavier & Maiboom, Alain & Karaky, Hassan, 2017. "Semi-physical models to assess the influence of CI engine calibration parameters on NOx and soot emissions," Applied Energy, Elsevier, vol. 208(C), pages 1505-1518.
    3. Rahmani, R. & Rahnejat, H. & Fitzsimons, B. & Dowson, D., 2017. "The effect of cylinder liner operating temperature on frictional loss and engine emissions in piston ring conjunction," Applied Energy, Elsevier, vol. 191(C), pages 568-581.
    4. Rafael R. Maes & Geert Potters & Erik Fransen & Rowan Van Schaeren & Silvia Lenaerts, 2022. "Influence of Adding Low Concentration of Oxygenates in Mineral Diesel Oil and Biodiesel on the Concentration of NO, NO 2 and Particulate Matter in the Exhaust Gas of a One-Cylinder Diesel Generator," IJERPH, MDPI, vol. 19(13), pages 1-18, June.
    5. Liu, Yintong & Li, Liguang & Ye, Junyu & Wu, Zhijun & Deng, Jun, 2015. "Numerical simulation study on correlation between ion current signal and NOX emissions in controlled auto-ignition engine," Applied Energy, Elsevier, vol. 156(C), pages 776-782.
    6. Bo Liu & Fuwu Yan & Jie Hu & Richard Fiifi Turkson & Feng Lin, 2016. "Modeling and Multi-Objective Optimization of NO x Conversion Efficiency and NH 3 Slip for a Diesel Engine," Sustainability, MDPI, vol. 8(5), pages 1-13, May.
    7. Molina, S. & Guardiola, C. & Martín, J. & García-Sarmiento, D., 2014. "Development of a control-oriented model to optimise fuel consumption and NOX emissions in a DI Diesel engine," Applied Energy, Elsevier, vol. 119(C), pages 405-416.
    8. Roberto Finesso & Gilles Hardy & Claudio Maino & Omar Marello & Ezio Spessa, 2017. "A New Control-Oriented Semi-Empirical Approach to Predict Engine-Out NOx Emissions in a Euro VI 3.0 L Diesel Engine," Energies, MDPI, vol. 10(12), pages 1-26, November.
    9. d’Ambrosio, Stefano & Finesso, Roberto & Fu, Lezhong & Mittica, Antonio & Spessa, Ezio, 2014. "A control-oriented real-time semi-empirical model for the prediction of NOx emissions in diesel engines," Applied Energy, Elsevier, vol. 130(C), pages 265-279.
    10. Seungha Lee & Youngbok Lee & Gyujin Kim & Kyoungdoug Min, 2017. "Development of a Real-Time Virtual Nitric Oxide Sensor for Light-Duty Diesel Engines," Energies, MDPI, vol. 10(3), pages 1-21, March.
    11. Roberto Finesso & Gilles Hardy & Alessandro Mancarella & Omar Marello & Antonio Mittica & Ezio Spessa, 2019. "Real-Time Simulation of Torque and Nitrogen Oxide Emissions in an 11.0 L Heavy-Duty Diesel Engine for Model-Based Combustion Control," Energies, MDPI, vol. 12(3), pages 1-32, January.

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