2012
DOI: 10.4271/2012-01-0434
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Physical-Based Algorithms for Interpolation and Extrapolation of Turbocharger Data Maps

Abstract: Data maps are easy to put in place and require very low calculation time. As a consequence they are often valued over fully physic-based models. This is particularly true when it is question of turbochargers. However, even if these maps are directly provided by the manufacturer, they usually do not cover the entire engine operating range and are poorly discretized. That's why before implementing them into any model they need to be interpolated and extrapolated.This paper introduces a new interpolation/extrapol… Show more

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Cited by 41 publications
(32 citation statements)
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“…Usually, for calculation time considerations, it relies on extrapolated manufacturer's data maps. The goal of this study is to confirm that new physics-based extrapolation algorithms (El Hadef et al, (2012)) implemented in classical zero dimension engine models (usually implemented using commercial software or in any programming language) lead to accurate results, without increasing the calibration effort. The results for two different models are presented in this paper: first, a reference simulator implemented using the commercial software LMS AMESim, then, a Matlab code designed to be embedded in a control law.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Usually, for calculation time considerations, it relies on extrapolated manufacturer's data maps. The goal of this study is to confirm that new physics-based extrapolation algorithms (El Hadef et al, (2012)) implemented in classical zero dimension engine models (usually implemented using commercial software or in any programming language) lead to accurate results, without increasing the calibration effort. The results for two different models are presented in this paper: first, a reference simulator implemented using the commercial software LMS AMESim, then, a Matlab code designed to be embedded in a control law.…”
Section: Introductionmentioning
confidence: 99%
“…These data-maps are extrapolated from manufacturer's steady state data points. An innovative physical-based extrapolation strategy has been developed and is presented in section 5 (El Hadef et al, (2012)). …”
Section: Air Path Calibrationmentioning
confidence: 99%
“…However, the optimization of turbocharging system control is very difficult, especially for turbochargers working over a wide operating range and coupled to engines with a reduced number of cylinders. The first issue to be addressed is the fact that maps provided by the turbocharger manufacturer usually do not cover the lowest rotational speeds, that become predominant in normalized driving cycles [2]. In addition, the most important limit to be taken into account is the lack of information on turbocharger unsteady flow performance, since only steady flow maps are usually available for both compressor and turbine [3].…”
Section: Introductionmentioning
confidence: 99%
“…Watson and Janota [9] and Benson [10] used a constant eff for all conditions, whilst Payri et al [11] allowed for changes in eff with red and PR, deriving a relation in which eff varies exponentially with BSR. Intermediate approaches have been proposed by El Hadef [5,12] and Martin [8], and [13]. In the former cases, a purely numerical model is developed for eff , whose coefficients are fitted polynomial functions with the PR.…”
Section: Background To Turbine Modellingmentioning
confidence: 99%
“…Simulation of typical engine duty cycles therefore still necessitates the extrapolation of the measured performance data, to model the turbine off-design. As will be seen a variety of techniques have been developed to address this problem; some physics-based [5], others numerical [6,7], and some combinations of both [8]. It seems pertinent to expect that different modelling strategies, test rig setups, data integrity and coverage of the measured data, ought to affect predicted cycle-to-cycle engine performance during a transient.…”
Section: Introductionmentioning
confidence: 99%