This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Restriction Model Independent Method for Non-Isentropic Outflow Valve Boundary Problem Resolution
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 16, 2012 by SAE International in United States
Annotation ability available
To meet the new engine regulations, increasingly sophisticated engine alternative combustion modes have been developed in order to achieve simultaneously the emission regulations and the required engine drivability. However, these new approaches require more complex, reliable and precise control systems and technologies. The 0-D model based control systems have proved to be successful in many applications, but as the complexity of the engines increases, their limitations start to affect the engine control performance. One of the 0-D modeling limitations is their inability to model mass transport time. 1-D modeling allows some of the 0-D models limitations to be overcome, which is the motivation of this work. In this paper, two quasi-steady outflow boundary models are developed: one is based on the isentropic contraction and the other on a momentum conservation approach. Both are compared with computational fluid dynamics (CFD) 3-D simulations. Then, an innovative method for solving the outflow boundary problem taking into account the entropy correction at the boundary for a 1-D unsteady gas flow modeling is presented. Its formulation allows more predictive quasi-steady models to be included in the boundary resolution scheme by solving the boundary problem independently of the restriction model. It means that a physical restriction model can be modified without needing to change the boundary resolution method. A Newton-Raphson algorithm is used with a modified Method of Characteristics (MOC) scheme to solve the boundary problem along with an extrapolation for the initialization of the scheme, which reduces the amount of iterations required and increases the solution accuracy. The unsteady behavior of the method is illustrated in an engine intake valve example where the numerical performance of the proposed method is compared with the numerical scheme presented in the literature. Finally, the proposed method for solving the unsteady state is validated using 3-D CFD simulations as a reference.
CitationCastillo, F., Witrant, E., and Dugard, L., "Restriction Model Independent Method for Non-Isentropic Outflow Valve Boundary Problem Resolution," SAE Technical Paper 2012-01-0676, 2012, https://doi.org/10.4271/2012-01-0676.
- Akihama, K., Takatori, Y., Inagaki, K., Sasaki, S. et al., “Mechanism of the Smokeless Rich Diesel Combustion by Reducing Temperature,” SAE Technical Paper 2001-01-0655, 2001, doi:10.4271/2001-01-0655.
- Alriksson, M. and Denbratt, I., “Low Temperature Combustion in a Heavy Duty Diesel Engine Using High Levels of EGR,” SAE Technical Paper 2006-01-0075, 2006, doi:10.4271/2006-01-0075.
- Ryan, T. and Matheaus, A., “Fuel Requirements for HCCI Engine Operation,” SAE Technical Paper 2003-01-1813, 2003, doi:10.4271/2003-01-1813.
- Hribernik, A., “The potential of high- and low-pressure exhaust gas recirculation,” SAE Technical Paper 2002-04-0029, 2002.
- Ammann, M., Fekete, N., Guzzella, L., and Glattfelder, A., “Model-Based Control of the VGT and EGR in a Turbocharged Common-Rail Diesel Engine: Theory and Passenger Car Implementation,” SAE Technical Paper 2003-01-0357, 2003, doi:10.4271/2003-01-0357.
- Chauvin, J., Corde, G., and Petit, N.. Constrained motion planning for the airpath of a diesel HCCI engine. Proceedings of the 45th IEEE conference on decision and control, 3589-3596, 2006.
- Wang, J.. Air fraction estimation for multiple combustion mode diesel engines with dual-loop EGR systems. Control Engine Practice 16, 1479-1468, 2008.
- Kolmanovski, I., Sun, J., and Druzhinina, M.. Charge control for direct injection spark ignition engines with EGR. Proceedings of the 45th IEEE conference on decision and control, 34-38, 2000.
- Benson, R.. The Themodynamics and Gas Dynamics in Internal-Combustion Engines, volume Volume I. Clarenton Press-Oxford, 1982.
- Winterbone, DE. and Pearson, RJ.. Theory of Engine Manifold Design: Wave Action Methods for IC Engines. Society of Automotive Engineers. Inc, 2000.
- Martin, G.. 0-D -1-D Modeling of the air path of ICE Engines for control purposes. PhD thesis, Universite d'Orleans, 2009.
- Martin, G., Brejaud, P., Higelin, P., and Charlet, A., “Pressure Ratio-Based Method for Non-Isentropic Inflow Valve Boundary Conditions Resolution,” SAE Technical Paper 2010-01-1052, 2010, doi:10.4271/2010-01-1052.