Combustion Modeling of a Direct Injection Diesel Engine Using Double Wiebe Functions: Application to HiL Real-Time Simulations

Saad, Charbel; Maroteaux, Fadila; Millet, Jean-Baptiste; Aubertin, Fabrice

doi:10.4271/2011-24-0143

Cited by 4 publications

(3 citation statements)

References 12 publications

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“…Some earlier models using two Wiebe functions were reviewed in Ghojel. 26 The classical format of double Wiebe functions is shown in equation (49) and used in more recent publications [97][98][99][100] to model both premixed and diffusion phases, respectively.…”

Section: Applicationsmentioning

confidence: 99%

Review of engine control-oriented combustion models

Tang

Zhu

Men

2021

International Journal of Engine Research

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As requirements for continuously improving internal combustion engine fuel economy with satisfactory emissions, model-based control strategies are often used to optimize the combustion process. To apply advanced control techniques for closed-loop engine combustion control, control-oriented engine combustion models are necessary and they are physics-based, accurate enough for model-based control, computationally low cost, and capable of real-time simulations. In addition, control-oriented combustion model with adequate fidelity may need to adapt to physical system and environment changes over time to maintain model-based control performance, such as model-reference (guided) control, where the control-oriented combustion model runs in real-time to generate an error signal between physical system and reference-model output for feedback control. This paper provides a review of existing control-oriented engine combustion models, along with their associated applications. Three main groups of control-oriented combustion models are reviewed from simple to sophisticated physics-based dynamic models, including mean-value, Wiebe function-based, and reaction-based models. The fundamental principle of each model group is reviewed briefly and its applications are also addressed. At the macro level, a control-oriented engine model can be used for crank angle-based and/or cycle-based control. As the engine control hardware performance continuous improving with reduced cost, model-reference (guided) combustion control shall become reality since now it is feasible to run a physics-based control-oriented engine combustion model inside an engine control module. On the other hand, each model group, even for the simple mean-value model, has its own applicable scenarios.

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Section: Applicationsmentioning

confidence: 99%

Review of engine control-oriented combustion models

Tang

Zhu

Men

2021

International Journal of Engine Research

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“…Shapiro and VanGerpen 6 presented a two-zone combustion model for internal combustion engines based on the second-law of thermodynamics. Loganathan et al 7 and Saad et al 8 proposed a two-zone combustion model for diesel engines, and Borg and Alkidas 9 developed a two-zone model for SI engines to study engine performance. Note that in two-zone models, the gas mixture are separated into burned (reaction) and unburned zones, assuming that the flame front is a thin boundary layer separating the two zones.…”

Section: Introductionmentioning

confidence: 99%

“…Rakopoulos and colleagues 2,10 proposed a multi-zone combustion model for engine transient performance and NOx (nitric-oxide) formation of a syngas SI engine. However, the MFB rate of these discussed two- and multi-zone models 5–14 is generated by an empirical Wiebe function that needs to be calibrated as a function of engine speed, load, and exhaust-gas-recirculation (EGR) for each engine operating condition.…”

Section: Introductionmentioning

confidence: 99%

A two-zone reaction-based combustion model for a spark-ignition engine

Zhu

Men

2019

International Journal of Engine Research

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This article presents a control-oriented two-zone reaction-based zero-dimensional model to accurately describe the combustion process of a spark-ignited engine for real-time simulations, and the developed model will be used for model-based control design and validation. A two-zone modeling approach is adopted, where the combustion chamber is divided into the burned (reaction) and unburned (pre-mixed) zones. The mixture thermodynamic properties and individual chemical species in two zones are taken into account in the modeling process. Instead of using the conventional pre-determined Wiebe-based combustion model, a two-step chemical reaction model is utilized to predict the combustion process along with important thermodynamic parameters such as the mass-fraction-burned, in-cylinder pressure, temperatures, and individual species mass changes in both zones. Sensitivities of model parameters are analyzed during the model calibration process. As a result, one set of calibration parameters is used to predict combustion characteristics over all engine operating conditions studied in this article, which is the major advantage of the proposed method. Also, the proposed modeling approach is capable of modeling the combustion process under different air-to-fuel ratios, ignition timings, and exhaust-gas-recirculation rates for real-time simulations. As the by-product of the model, engine knock can also be predicted based on the Arrhenius integral in the unburned zone, which is valuable for model-based knock control. The proposed combustion model is intensively validated using the experimental data with a peak relative prediction error of 6.2% for the in-cylinder pressure.

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