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Prediction of In-Cylinder Pressure for Light-Duty Diesel Engines
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 2, 2019 by SAE International in United States
This content contains downloadable datasetsAnnotation ability available
In recent years, emission regulations have been getting increasingly strict. In the development of engines that comply with these regulations, in-cylinder pressure plays a fundamental role, as it is necessary to analyze combustion characteristics and control combustion-related parameters. The analysis of in-cylinder pressure data enables the modelling of exhaust emissions in which characteristic temperature can be derived from the in-cylinder pressure, and the pressure can be used for other investigations, such as optimizing efficiency and emissions through controlling combustion.
Therefore, a piezoelectric pressure sensor to measure in-cylinder pressure is an essential element in the engine research field. However, it is difficult to practice the installation of this pressure sensor on all engines and on-road vehicles owing to cost issues. Therefore, there have been several studies aiming to estimate the in-cylinder pressure using only the data available from the Engine Control Unit (ECU) without an additional pressure sensor.
An in-cylinder pressure prediction model for conventional light-duty diesel engines had been established by authors and described in this paper. First, the pressure during the compression stroke was estimated using a variable polytropic index. Next, the Wiebe function was applied to describe pressure during pilot and main combustion. This prediction of the in-cylinder pressure was established for real-time estimation.
The complete pressure prediction model consists of subordinate models, where physical phenomena are simplified for the real-time application of the model. The accuracy of the submodels has a direct influence on the error in the parent model the pressure prediction. Therefore, sensitivity analysis was conducted in this study to verify the effect of the submodels, including the polytropic index model, ignition delay model, heat loss model and combustion duration model, on the entire pressure prediction model. This study will contribute to establishing a more accurate pressure prediction through sensitivity analysis and will be useful to many studies that require in-cylinder pressure information.
CitationLee, Y., Lee, S., Han, K., and Min, K., "Prediction of In-Cylinder Pressure for Light-Duty Diesel Engines," SAE Technical Paper 2019-01-0943, 2019, https://doi.org/10.4271/2019-01-0943.
Data Sets - Support Documents
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- Leung, D.Y., Luo, Y., and Chan, T.-L., “Optimization of Exhaust Emissions of a Diesel Engine Fuelled with Biodiesel,” Energy & fuels 20(3):1015-1023, 2006, doi:10.1021/ef050383s.
- Yao, M., Zhang, Q., Liu, H., Zheng, Z.-Q. et al., “Diesel Engine Combustion Control: Medium or Heavy EGR?” SAE Technical Paper 2010-01-1125, 2010, doi:10.4271/2010-01-1125.
- Yu, S., Choi, H., Cho, S., Han, K. et al., “Development of Engine Control Using the in-Cylinder Pressure Signal in a High Speed Direct Injection Diesel Engine,” International Journal of Automotive Technology 14(2):175-182, 2013, doi:10.1007/s12239-013-0019-x.
- Lee, S., Choi, H., and Min, K., “Reduction of Engine Emissions Via a Real-Time Engine Combustion Control with an Egr Rate Estimation Model,” International Journal Of Automotive Technology 18(4):571-578, 2017, doi:10.1007/s12239-017-0057-x.
- 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(3):284, 2017, doi:10.3390/en10030284.
- d’Ambrosio, S., Finesso, R., Fu, L., Mittica, A. et al., “A Control-Oriented Real-Time Semi-Empirical Model for the Prediction of NOx Emissions in Diesel Engines,” Applied Energy 130:265-279, 2014, doi:10.1016/j.apenergy.2014.05.046.
- Finesso, R., Misul, D., and Spessa, E., “Development and Validation of a Semi-Empirical Model for the Estimation of Particulate Matter in Diesel Engines,” Energy Conversion and Management 84:374-389, 2014, doi:10.1016/j.enconman.2014.04.053.
- Docquier, N. and Candel, S., “Combustion Control and Sensors: A Review,” Progress in Energy and Combustion Science 28(2):107-150, 2002, doi:10.1016/S0360-1285(01)00009-0.
- Bengtsson, J., Strandh, P., Johansson, R., Tunestål, P. et al., “Closed-Loop Combustion Control of Homogeneous Charge Compression Ignition (HCCI) Engine Dynamics,” International Journal of Adaptive Control and Signal Processing 18(2):167-179, 2004, doi:10.1002/acs.788.
- Hellström, E., Stefanopoulou, A., and Jiang, L., "A Linear Least-Squares Algorithm for Double-Wiebe Functions Applied to Spark-Assisted Compression Ignition." Journal of Engineering for Gas Turbines and Power 136(9):091514, 2014, doi:10.1115/1.4027277.
- Yeliana, Y., Cooney, C., Worm, J., Michalek, D. et al., “Estimation of Double-Wiebe Function Parameters Using Least Square Method for Burn Durations of Ethanol-Gasoline Blends in Spark Ignition Engine over Variable Compression Ratios and EGR Levels,” Applied Thermal Engineering 31(14):2213-2220, 2011, doi:10.1016/j.applthermaleng.2011.01.040.
- Ghojel, J., “Review of the Development and Applications of the Wiebe Function: A Tribute to the Contribution of Ivan Wiebe to Engine Research,” International Journal of Engine Research 11(4):297-312, 2010, doi:10.1243/14680874JER06510.
- Tauzia, X., Maiboom, A., Chesse, P., and Thouvenel, N., “A New Phenomenological Heat Release Model for Thermodynamical Simulation of Modern Turbocharged Heavy Duty Diesel Engines,” Applied Thermal Engineering 26(16):1851-1857, 2006, doi:10.1016/j.applthermaleng.2006.02.009.
- Grahn, M., Olsson, J.-O., and McKelvey, T., “A Diesel Engine Model for Dynamic Drive Cycle Simulations,” IFAC Proceedings 44(1):11833-11838, 2011, doi:10.3182/20110828-6-IT-1002.03541.
- Finesso, R., Spessa, E., Yang, Y., Alfieri, V. et al., “HRR and MFB50 Estimation in a Euro 6 Diesel Engine by Means of Control-Oriented Predictive Models,” SAE International Journal of Engines 8(3):1055-1068, 2015, doi:10.4271/2015-01-0879.
- Bąkowski, A., Radziszewski, L., and Milan, Ž., “Determining the Polytrophic Exponent of the Process Occurring during the Working Cycle of a Diesel,” Procedia Engineering 136:220-226, 2016, doi:10.1016/j.proeng.2016.01.201.
- Caris, D. and Nelson, E., “a new look at High Compression Engines,” SAE Technical Paper 590015, 1959, doi:10.4271/590015.
- Hardenberg, H. and Hase, F., “An Empirical Formula for Computing the Pressure Rise Delay of a Fuel from Its Cetane Number and from the Relevant Parameters of Direct-Injection Diesel Engines,” SAE Technical Paper 790493 1823-1834, 1979, doi:10.4271/790493.
- Lee, Y., Min, K., Lee, S., and Han, K., "Estimation Model of In-Cylinder Pressure for CI Engines," Energy Conversion and Management, submitted, 2018.
- Lee, Y. and Min, K., "Estimation of the Polytropic Index for Pressure Prediction," Applied Thermal Engineering, submitted, 2018.
- Heywood, J.B., Internal Combustion Engine Fundamentals First Edition. Vol. 385 (New York: Mcgraw-Hill, 1988), 670-671.
- Turns, S.R., An Introduction to Combustion Second Edition (New York: McGraw-Hill, 1996), 646-647.
- Woschni, G., “A Universally Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine,” SAE Technical Paper 670931, 1967, doi:10.4271/670931.
- LeFeuvre, T., Myers, P.S., and Uyehara, O.A., “Experimental Instantaneous Heat Fluxes in a Diesel Engine and Their Correlation,” SAE Technical Paper 690464, 1969, doi:10.4271/690464.
- Hu, S., Wang, H., Yang, C., and Wang, Y., “Burnt Fraction Sensitivity Analysis and 0-D Modelling of Common Rail Diesel Engine Using Wiebe Function,” Applied Thermal Engineering 115:170-177, 2017, doi:10.1016/j.applthermaleng.2016.12.080.
- Assanis, D.N., Filipi, Z.S., Fiveland, S.B., and Syrimis, M., “A Predictive Ignition Delay Correlation under Steady-State and Transient Operation of a Direct Injection Diesel Engine,” Journal of Engineering for Gas Turbines and Power 125(2):450-457, 2003, doi:10.1115/1.1563238.
- Alkhulaifi, K. and Hamdalla, M., “Ignition Delay Correlation for a Direct Injection Diesel Engine Fuelled with Automotive Diesel and Water Diesel Emulsion,” World Academy of Science, Engineering and Technology 58:905-917, 2011.
- Finesso, R. and Spessa, E., “Ignition Delay Prediction of Multiple Injections in Diesel Engines,” Fuel 119:170-190, 2014, doi:10.1016/j.fuel.2013.11.040.
- Park, W., Lee, J., Min, K., Yu, J. et al., “Prediction of Real-Time NO Based on the In-Cylinder Pressure in Diesel Engines,” Proceedings of the Combustion Institute 34(2):3075-3082, 2013, doi:10.1016/j.proci.2012.06.170.