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Research Papers

Turbocharger Map Reduction for Control-Oriented Modeling

[+] Author and Article Information
Karla Stricker, Lyle Kocher, Ed Koeberlein

Cummins, Inc.,
Box 3005,
Columbus, IN 47202

D. G. Van Alstine

Caterpillar,
100 North East Adams Street,
Peoria, IL 61629

Gregory M. Shaver

School of Mechanical Engineering,
Purdue University,
585 Purdue Mall,
West Lafayette, IN 47907

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 30, 2011; final manuscript received May 18, 2012; published online April 4, 2014. Assoc. Editor: Marco P. Schoen.

J. Dyn. Sys., Meas., Control 136(4), 041008 (Apr 04, 2014) (13 pages) Paper No: DS-11-1095; doi: 10.1115/1.4026532 History: Received March 30, 2011; Revised May 18, 2012

Models of the gas exchange process in modern diesel engines typically use manufacturer-provided maps to describe mass flows through, and efficiencies of, the turbine and compressor based on pressure ratios across the turbine and compressor, as well as the turbocharger shaft speed, and in the case of variable-geometry turbochargers, the nozzle position. These look-up maps require multiple interpolations to produce the necessary information for turbocharger performance, and are undesirable when modeling for estimation and control. There have been several previous efforts to reduce dependence on maps with general success, yet many of these approaches remain complex and are not easily integrated into engine control systems. The focus of this paper is the reduction of turbomachinery maps to analytical functions that are amenable to estimator and control design, and have been validated against manufacturer-provided turbomachinery data.

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References

Heywood, J., 1988, Internal Combustion Engine Fundamentals, McGraw-Hill, New York.
Müller, M., Hendricks, E., and Sorenson, S., 1988, “Mean Value Modelling of Turbocharged Spark Ignition Engines,” SAE Paper No. 980784.
Descombes, G., Pichouron, J., Maroteaux, R., Moreno, N., and Jullien, J., 2002, “Simulation of the Performance of a Variable Geometry Turbocharger for Diesel Engine Road Propulsion,” Int. J. Appl. Thermodyn., 5(3), pp. 139–149.
Puddu, P., 2010, “Dimensionless Flow Equations for Dynamic Simulation of Turbomachine Components and Fluid Systems,” IMechE J. Power Energy, 224(3), pp. 419–431. [CrossRef]
Katrasnik, T., 2006, “Improved Model to Determine Turbine and Compressor Boundary Conditions With the Method of Characteristics,” Int. J. Mech. Sci., 48, pp. 504–516. [CrossRef]
Chauvin, J., Moulin, P., Youssef, B., and Grondin, O., 2008, “Global Airpath Control for a Turbocharged Diesel HCCI Engine,” Oil Gas Sci. Technol., 63(4), pp. 553–561. [CrossRef]
Stefanopoulou, A., Kolmanovsky, I., and Freudenberg, J., 2000, “Control of Variable Geometry Turbocharged Diesel Engines for Reduced Emissions,” IEEE Trans. Control Syst. Technol., 8(4), pp. 733–745. [CrossRef]
Kao, M., and Moskwa, J., 1995, “Turbocharged Diesel Engine Modeling for Nonlinear Engine Control and State Estimation,” ASME J. Dyn. Syst., Meas., Control, 117, pp. 20–30. [CrossRef]
Papadimitriou, I., Silvestri, J., Warner, M., and Despujols, B., 2008, “Development of Real-Time Capable Engine Plant Models for Use in HIL Systems,” SAE Paper No. 2008-01-0990.
Kolmanovsky, I., Moraal, P., van Nieuwstadt, M., and Stefanopoulou, A., 1997, “Issues in Modelling and Control of Intake Flow in Variable Geometry Turbocharged Engines,” Proceedings of the 18th IFIP conference on system modeling and optimization.
Jung, M., 2003, “Mean-Value Modelling and Robust Control of the Airpath of a Turbocharged Diesel Engine,” Ph.D thesis, University of Cambridge, Cambridge, UK.
Westin, F., 2005, “Simulation of Turbocharged SI-engines—With Focus on the Turbine,” Ph.D thesis, Royal Institute of Technology, Stockholm, Sweden.
Yang, X., and Zhu, G., 2010, “A Mixed Mean-Value Crank-Based Model of a Dual-Stage Turbocharged SI Engine for Hardware-in-the-Loop Simulation,” Proceedings of the 2010 American Control Conference.
He, Y., 2005, “Development and Validation of a 1D Model of a Turbocharged v6 Diesel Engine Operating Under Steady-State and Transient Conditions,” SAE Paper No. 2005-01-3857.
Zhuge, X. Z. M. Y. W., Zhang, Y., and He, Y., 2009, “Development of an Advanced Turbocharger Simulation Method for Cycle Simulation of Turbocharged Internal Combustion Engines,” IMechE J. Automob. Eng., 223, pp. 661–672. [CrossRef]
Morel, T., and Wahiduzzaman, S., 1996, “Modeling of Diesel Combustion and Emissions,” FISITA Proceeding XXVI International Congress, Praha, Czech Republic.
Kulkarni, A., Shaver, G., Popuri, S., Frazier, T., and Stanton, D., 2009, “Computationally Efficient Whole-Engine Model of a Cummins 2007 Turbocharged Diesel Engine,” ASME J. Eng. Gas Turbines Power, 132, p. 022803. [CrossRef]
Modiyani, R., Kocher, L., Van Alstine, D. G., Koeberlein, E., Stricker, K., Meckl, P., and Shaver, G., 2010, “Effect of Intake Valve Closure Modulation on Effective Compression Ratio and Gas Exchange in Modern, Multi-Cylinder Diesel Engines,” Int. J. Engine Res., 12(6), pp. 617–631. [CrossRef]
Serrano, J., Arnau, F., Dolz, V., Tiseira, A., and Cervelló, C., 2008, “A Model of Turbocharger Radial Turbines Appropriate to be Used in Zero- and One-Dimensional Gas Dynamic Codes for Internal Combustion Engines Modelling,” Energy Convers. Manage., 49, pp. 3729–3745. [CrossRef]
Eriksson, L., Nielsen, L., Bergström, J., Bergström, J., Pettersson, F., and Andersson, P., 2002, “Modeling of a Turbocharged SI Engine,” Annu. Rev. Control, 26, pp. 129–137. [CrossRef]
Jung, M., Ford, R., Glover, K., Collings, N., Christen, U., and Watts, M., 2002, “Parameterization and Transient Validation of a Variable Geometry Turbocharger for Mean-Value Modeling at Low and Medium Speed-Load Points,” SAE Paper No. 2002-01-2729.
Taitt, D., Garner, C., Swain, E., Bassett, M., Pearson, R., and Turner, J., 2005, “An Automotive Engine Charge-Air Intake Conditioner System: Thermodynamic Analysis of Performance Characteristics,” IMechE J. Automob. Eng., 219, pp. 389–404. [CrossRef]
Joshi, A., James, S., Meckl, P., King, G., and Jennings, K., 2007, “A Comprehensive Physics-Based Model for Medium Duty Diesel Engine With Exhaust Gas Recirculation,” Paper No. IMECE2007-42119.
Jiang, L., Vanier, J., Yilmaz, H., and Stefanopoulou, A., 2009, “Parameterization and Simulation for a Turbocharged Spark Ignition Direct Injection Engine With Variable Valve Timing,” SAE Paper No. 2009-01-0680.
Jankovic, M., Jankovic, M., and Kolmanovsky, I., 2000, “Constructive Lyapunov Control Design for Turbocharged Diesel Engines,” IEEE Trans. Control Syst. Technol., 8(2), pp. 288–299. [CrossRef]
Wang, J., 2008, “Hybrid Robust Air-Path Control for Diesel Engines Operating Conventional and Low Temperature Combustion modes,” IEEE Trans. Control Syst. Technol., 16(6), pp. 1138–1151. [CrossRef]
Das, H., and Dhinagar, S., 2008, “Airpath Modelling and Control for a Turbocharged Diesel Engine,” SAE Paper No. 2008-01-0999.
Yang, M., Zheng, X., Zhang, Y., and Li, Z., 2008, “Improved Performance Prediction Model for Turbocharger Compressor,” SAE Paper No. 2008-01-1690.
Whitfield, A., and Wallace, F., 1975, “Performance Prediction for Automotive Turbocharger Compressors,” Proc. Inst. Mech. Eng., 189(12), pp. 557–565. [CrossRef]
Moraal, P., and Kolmanovsky, I., 1999, “Turbocharger Modeling for Automotive Control Applications,” SAE Paper No. 1999-01-0908.
Filipi, Z., Wang, Y., and Assanis, D., 2001, “Effect of Variable Geometry Turbine (VGT) on Diesel Engine and Vehicle System Transient Response,” SAE Paper No. 2001-01-1247.
Winkler, G., 1977, “Steady-State and Dynamic Modelling of Engine Turbomachinery Systemsv,” Ph.D thesis, University of Bath, Bath, UK.
Jenson, J., Kristensen, A., Sorenson, S., and Houbak, N., 1991, “Mean Value Modeling of a Small Turbocharged Diesel Engine,” SAE Paper No. 910070.
Sorenson, S., Hendricks, E., Magnusson, S., and Bertelsen, A., 2005, “Compact and Accurate Turbocharger Modelling for Engine Control,” SAE Paper No. 2005-01-1942.
Eriksson, L., 2007, “Modeling and Control of Turbocharged SI and DI Engines,” Oil Gas Sci. Technol., 62(4), pp. 523–538. [CrossRef]
Canova, M., Midlam-Mohler, S., Guezennec, Y., and Rizzoni, G., 2009, “Mean Value Modeling and Analysis of HCCI Diesel Engines With External Mixture Formation,” ASME J. Dyn. Syst., Meas., Control, 131, p. 011002. [CrossRef]
Martin, G., Talon, V., Higelin, P., Charlet, A., and Caillol, C., 2009, “Implementing Turbomachinery Physics into Data Map-Based Turbocharger Models,” SAE Paper No. 2009-01-0310.
Martin, G., Talon, V., Peuchant, T., Higelin, P., and Charlet, A., 2009, “Physics Based Diesel Turbocharger Model for Control Purposes,” SAE Paper No. 2009-24-0123.
Kocher, L., Koeberlein, E., Stricker, K., Van Alstine, D. G., and Shaver, G., 2011, “Control-Oriented Modeling of Diesel Engine Gas Exchange,” Proceedings of the American Control Conference.
Kocher, L., Koeberlein, E., Stricker, K., Van Alstine, D. G., and Shaver, G., 2012, “Control-Oriented Gas Exchange Model for Diesel Engines Utilizing Variable Intake Valve Actuation,” ASME J. Dyn. Syst., Meas., Control (submitted).

Figures

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Fig. 1

Variable-geometry turbocharger

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Fig. 2

Compressor mass flow maps

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Fig. 3

New non-dimensional map: zoomed

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Fig. 5

Compressor efficiency maps

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Fig. 6

Compressor efficiency

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Fig. 7

Original and non-dimensional turbine mass flow maps

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Fig. 8

Non-dimensional turbine maps with fits

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Fig. 9

Original and non-dimensional turbine efficiency maps

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Fig. 10

Non-dimensional efficiency fits for the nine VGT positions

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Fig. 11

Efficiency fits for the nine VGT positions

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Fig. 12

Logic flow comparison

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Fig. 13

Experimental engine schematic

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Fig. 14

Example air-handling sweep

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Fig. 15

Operating points on the compressor map

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Fig. 16

Operating points on the torque-speed map

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Fig. 17

Case 1 air handling sweep

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Fig. 18

Case 2 air handling sweep

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Fig. 19

Case 3 air handling sweep

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