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research-article

A REDUCED COMPLEXITY MODEL FOR THE COMPRESSOR POWER OF AN AUTOMOTIVE TURBOCHARGER

[+] Author and Article Information
Tao Zeng

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824
zengtao2@msu.edu

Devesh Upadhyay

Ford Motor Company, Dearborn, MI 48124
dupadhya@ford.com

Guoming George Zhu

ASME Fellow, Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824
zhug@egr.msu.edu

1Corresponding author.

ASME doi:10.1115/1.4039285 History: Received October 11, 2016; Revised January 17, 2018

Abstract

Control-oriented models for automotive turbocharger compressors typically describe the compressor power assuming an isentropic thermodynamic process with fixed isentropic and mechanical efficiencies for power transmission between the turbine and compressor. Although these simplifications make the control-oriented model tractable, they also introduce additional errors due to un-modeled dynamics. This is especially true for map-based approaches since the manufacture-provided maps tend to be sparse and often incomplete at the operational boundaries, especially at operational conditions with low mass flow rate and low speed. Extrapolation scheme is often used when the compressor is operated outside the mapped regions, which introduces additional errors. Furthermore, the manufacture-provided compressor maps, based on steady-flow bench tests, could be quite different from these under pulsating engine flow. In this paper, a physics-based model of compressor power is developed using Euler equations for turbo-machinery, where the mass flow rate and compressor rotational speed are used as model inputs. Two new coefficients, speed and power coefficients, are defined. As a result, this makes it possible to directly estimate the compressor power over the entire compressor operational range based on a single analytic relationship. The proposed modeling approach is validated against test data from standard turbocharger flow bench tests, standard supercharger tests, steady-state and certain transient engine dynamometer tests. Model validation results show that the proposed model has acceptable accuracy for model-based control design and also reduces the dimension of the parameter space typically needed to model compressor dynamics.

Copyright (c) 2018 by ASME
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