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

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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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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