Burnt fraction sensitivity analysis and 0-D modelling of common rail diesel engine using Wiebe function

Hu, Song; Wang, Hechun; Yang, Chuanlei; Wang, Yinyan

doi:10.1016/j.applthermaleng.2016.12.080

Cited by 34 publications

(22 citation statements)

References 19 publications

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“…When using the Wiebe function to estimate the in-cylinder pressure during combustion, the SOC timing should be determined with due consideration. 21 Therefore, Figure 16(a) shows the comparison between the measured and estimated values of main SOC timing, and the estimated value was calculated using the ID model in this study. Figure 16(b) and (c) shows the prediction results of P soc and P max , respectively.…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, there have been numerous studies to estimate the in-cylinder pressure or HRR without additional pressure sensors. 12–24…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, there have been numerous studies to estimate the in-cylinder pressure or HRR without additional pressure sensors. [12][13][14][15][16][17][18][19][20][21][22][23][24] One method commonly used to estimate in-cylinder pressure or HRR is the accumulated fuel mass approach, which estimates the heat energy released in the cylinder from the fuel injection rate. [12][13][14] A strong point of this approach is that the combustion rate is instantaneously derived from fuel injection rate.…”

Section: Introductionmentioning

confidence: 99%

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Semi-empirical estimation model of in-cylinder pressure for compression ignition engines

Lee

Min

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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There have been significant efforts in recent years to comply with automotive emission regulations. To resolve the issue, researchers have strived to reduce the emissions through combustion control. The heat release rate, or in-cylinder pressure information, is necessary to model engine-out emissions, and can also be used to optimize efficiency and emissions by controlling combustion and estimating torque for torque-based engine dynamic control. Piezoelectric pressure sensors are widely used. However, because of cost and durability issues, there have been studies which estimate the in-cylinder pressure using data available only from the engine control unit to reduce engine costs. Therefore, in this study, in-cylinder pressure was predicted, without additional pressure sensors, in light-duty diesel engines. A variable polytropic exponent model was first adopted during the compression stroke, assuming a polytropic process. A Wiebe function was then applied for describing cumulative heat release rate during the combustion phase. Using the in-cylinder pressure model, it was possible to calculate combustion-related parameters which are frequently used such as ignition delay, combustion duration, peaked pressure, and MFB50 (mass fraction burned: timing when 50% of the fuel is burned) without pressure sensors. Notwithstanding the simplification of the model which is targeting real-time applications, the model can predict the in-cylinder pressure at steady-state conditions. The pressure at the end of compression stroke, at start of main combustion timing, and when it has a peaked value by the main combustion were estimated with accuracy of R2 0.996, 0.993, and 0.956, respectively, in test engine. The model was also validated against a second engine. This study can contribute to emission models that need to calculate in-cylinder temperature using pressure data, and other studies to establish engine control strategies, including optimization through combustion control and torque prediction, which can be applied to engine dynamic control.

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Section: Resultsmentioning

confidence: 99%

“…Therefore, there have been numerous studies to estimate the in-cylinder pressure or HRR without additional pressure sensors. 12–24…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Semi-empirical estimation model of in-cylinder pressure for compression ignition engines

Lee

Min

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…The accumulated fuel mass approach [18][19][20][21] is more physically consistent than the classical Wiebe function methodology [22] for heat release prediction. Highly accurate simulation results have been obtained using this model in many types of single-and multi-injection diesel engines [11][12][13]17,22].Apart from physics-based models, mathematical models are also widely used for control-oriented applications. The aim of purely mathematical models is to identify the correlations between the input and output variables, without having knowledge of the physics of the system.A first category of mathematical models includes empirical or semi-empirical approaches.…”

mentioning

confidence: 97%

“…A zero-dimensional combustion model, which is capable of simulating the heat release rate, on the basis of the accumulated fuel mass approach and the in-cylinder pressure, on the basis of a single zone thermodynamic model, was presented in [17]. The accumulated fuel mass approach [18][19][20][21] is more physically consistent than the classical Wiebe function methodology [22] for heat release prediction. Highly accurate simulation results have been obtained using this model in many types of single-and multi-injection diesel engines [11][12][13]17,22].Apart from physics-based models, mathematical models are also widely used for control-oriented applications.…”

mentioning

confidence: 99%

Comparison of Physics-Based, Semi-Empirical and Neural Network-Based Models for Model-Based Combustion Control in a 3.0 L Diesel Engine

D’Ambrosio

Finesso

et al. 2019

Energies

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A comparison of four different control-oriented models has been carried out in this paper for the simulation of the main combustion metrics in diesel engines, i.e., combustion phasing, peak firing pressure, and brake mean effective pressure. The aim of the investigation has been to understand the potential of each approach in view of their implementation in the engine control unit (ECU) for onboard combustion control applications. The four developed control-oriented models, namely the baseline physics-based model, the artificial neural network (ANN) physics-based model, the semi-empirical model, and direct ANN model, have been assessed and compared under steady-state conditions and over the Worldwide Harmonized Heavy-duty Transient Cycle (WHTC) for a Euro VI FPT F1C 3.0 L diesel engine. Moreover, a new procedure has been introduced for the selection of the input parameters. The direct ANN model has shown the best accuracy in the estimation of the combustion metrics under both steady-state/transient operating conditions, since the root mean square errors are of the order of 0.25/1.1 deg, 0.85/9.6 bar, and 0.071/0.7 bar for combustion phasing, peak firing pressure, and brake mean effective pressure, respectively. Moreover, it requires the least computational time, that is, less than 50 s when the model is run on a rapid prototyping device. Therefore, it can be considered the best candidate for model-based combustion control applications.

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Blast furnace slag or fly ash filled rigid polyurethane composite foams: A comprehensive investigation

Akkoyun

2019

J of Applied Polymer Sci

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Ground granulated blast furnace slag (BFS) and fly ash (FA) are iron-making industry and power plant byproducts, respectively. Although their use in concrete is quite common, investigation of the effects of these inorganic compounds on polymer properties is quite new, and their use as fillers in polymer foam composites has not yet been really explored. Their properties, such as high electrical resistivity, make them a good asset for use in rigid polyurethane foams that are widely used for insulation. In this study, a comprehensive investigation of the effect of BFS and FA on morphology, electrical and thermal conductivity, and rheological and mechanical properties of water-blown rigid polyurethane foams was performed. The relationship between these properties was examined. A relative enhancement of the properties is observed for filled foams, especially up to the percolation threshold. The results highlight a noticeable effect of the electrical percolation threshold on the different properties of foams.

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Burnt fraction sensitivity analysis and 0-D modelling of common rail diesel engine using Wiebe function

Cited by 34 publications

References 19 publications

Semi-empirical estimation model of in-cylinder pressure for compression ignition engines

Semi-empirical estimation model of in-cylinder pressure for compression ignition engines

Comparison of Physics-Based, Semi-Empirical and Neural Network-Based Models for Model-Based Combustion Control in a 3.0 L Diesel Engine

Blast furnace slag or fly ash filled rigid polyurethane composite foams: A comprehensive investigation

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