Advanced Mapping Techniques for Radial Compressor for Use in Real-Time Engine Models

Dowell, Peter G.; Akehurst, Sam

doi:10.4271/2010-01-1227

Cited by 8 publications

(7 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They ensure to smooth the data map while preserving the monotonicity. In fact, it benefits from the flexibility offered by cubic spline as well as keeping the monotonicity guaranteed by the classical linear interpolation [1]. The interpolation itself keeps the model as close as possible to the supplier's data points.…”

Section: Extrapolationmentioning

confidence: 96%

“…The most popular way to tackle this, surely relies on the Jensen and Kristensen empirical mean value model published in 1991 [6] and [1]. It can be widely found in literature [12] and is used in many commercial codes.…”

Section: Figure 1 Turbocharger Side Schemementioning

confidence: 99%

“…The compressor and turbine flow rate are usually read from the data maps {Qcomp, Pic, ω t } and {Qturb, Pit, ω t } in order to calculate the turbocharger rotational speed. In the case where frictions are disregarded [7], it is given by: (1) where ω t is the turbocharger rotational speed, I is the polar moment of inertia, C comp and C turb are respectively the compressor and the turbine torque:…”

Section: Motivationsmentioning

confidence: 99%

See 2 more Smart Citations

Physical-Based Algorithms for Interpolation and Extrapolation of Turbocharger Data Maps

Hadef

Colin

Chamaillard

et al. 2012

SAE Int. J. Engines

View full text Add to dashboard Cite

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/extrapolation method based on the idea of integrating more physics into the widespread Jensen and Kristensen's method [6]. It essentially relies on the turbo machinery equation analysis performed by Martin during his PhD thesis [9, 10, 11] and the interpolation and extrapolation strategies that he proposed. In most cases the new strategies presented in this paper rely on improvements of the models he proposed. However the major issue here is to associate to each model a robust algorithm to obtain the fully extrapolated data maps from the raw manufacturer's data.The major outcomes of the study are: -new models for compression ratio and turbine flow rate extrapolations androbust and easy to implement algorithms for interpolation and extrapolation to low rotational speeds. These address single stage turbocharging configurations with fixed geometry turbines (in the case of variable geometry turbines, taking each position as a different fixed geometry turbine allow to use the same algorithms).

show abstract

Section: Extrapolationmentioning

confidence: 96%

Section: Figure 1 Turbocharger Side Schemementioning

confidence: 99%

Section: Motivationsmentioning

confidence: 99%

See 1 more Smart Citation

Physical-Based Algorithms for Interpolation and Extrapolation of Turbocharger Data Maps

Hadef

Colin

Chamaillard

et al. 2012

SAE Int. J. Engines

View full text Add to dashboard Cite

show abstract

“…Based on Jensen's proposal, other authors took advantage of the same flow to load coefficient relation but introducing modifications that improve the extrapolation accuracy at high compressor speed. Dowell and Akehurst 19 proposed adjusting equation 4for each iso-speed line, eliminating the dependence of the compressor speed and simplifying the equation, becoming equation 5c is =…”

Section: Jensen-based Modelsmentioning

confidence: 99%

A zonal approach for estimating pressure ratio at compressor extreme off-design conditions

Galindo

Garcia

García-Cuevas

et al. 2018

International Journal of Engine Research

View full text Add to dashboard Cite

Zero-dimensional/one-dimensional computational fluid dynamics codes are used to simulate the performance of complete internal combustion engines. In such codes, the operation of a turbocharger compressor is usually addressed employing its performance map. However, simulation of engine transients may drive the compressor to work at operating conditions outside the region provided by the manufacturer map. Therefore, a method is required to extrapolate the performance map to extended off-design conditions. This work examines several extrapolating methods at the different off-design regions, namely, low-pressure ratio zone, low-speed zone and high-speed zone. The accuracy of the methods is assessed with the aid of compressor extreme off-design measurements. In this way, the best method is selected for each region and the manufacturer map is used in design conditions, resulting in a zonal extrapolating approach aiming to preserve accuracy. The transitions between extrapolated zones are corrected, avoiding discontinuities and instabilities.

show abstract

“…For better estimation over a wider PR range, Oskar and Eriksson 12 proposed an elliptic function-based piece-wise model. Dowell et al 14 combined the spline and parametric fitting in compressor mass flow rate modeling, which was, however, lack of physical interpretations. Other investigations include modifications to the JK model, such as by ''influencing'' the fitting process through physics, 15 by modifying the dimensionless parameter F, 16 or by increasing the order of model coefficients through fits based on speed lines (iso-speed).…”

Section: Introductionmentioning

confidence: 99%

A physics-based turbocharger model for automotive diesel engine control applications

Song

Upadhyay

Xie

2018

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

Control-oriented models of turbocharger processes such as the compressor mass flow rate, the compressor power, and the variable geometry turbine power are presented. In a departure from approaches that rely on ad hoc empirical relationships and/or supplier provided performance maps, models based on turbomachinery physics and known geometries are attempted. The compressor power model is developed using Euler’s equations of turbomachinery, where the gas velocity exiting the rotor is estimated from an empirically identified correlation for the ratio between the radial and tangential components of the gas velocity. The compressor mass flow rate is modeled based on mass conservation, by approximating the compressor as an adiabatic converging-diverging nozzle with compressible fluid driven by external work input from the compressor wheel. The variable geometry turbine power is developed with Euler’s equations, where the turbine exit swirl and the gas acceleration in the vaneless space are neglected. The gas flow direction into the turbine rotor is assumed to align with the orientation of the variable geometry turbine vane. The gas exit velocity is calculated, similar to the compressor, based on an empirical model for the ratio between the turbine rotor inlet and exit velocities. A power loss model is also proposed that allows proper accounting of power transfer between the turbine and compressor. Model validation against experimental data is presented.

show abstract

Advanced Mapping Techniques for Radial Compressor for Use in Real-Time Engine Models

Cited by 8 publications

References 11 publications

Physical-Based Algorithms for Interpolation and Extrapolation of Turbocharger Data Maps

Physical-Based Algorithms for Interpolation and Extrapolation of Turbocharger Data Maps

A zonal approach for estimating pressure ratio at compressor extreme off-design conditions

A physics-based turbocharger model for automotive diesel engine control applications

Contact Info

Product

Resources

About