A Scalable Modeling Approach for the Simulation and Design Optimization of Automotive Turbochargers

Canova, Marcello; Naddeo, Massimo; Liu, Yuxing; Zhou, Junqiang; Wang, Yue-Yun

doi:10.4271/2015-01-1288

Cited by 15 publications

(9 citation statements)

References 14 publications

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“…By substituting equation (7) and c pa = kR=(k À 1) into equation (17), C 2 is obtained as 18can be modified as…”

Section: No Cross Flow Takes Place Throughout the Compres-mentioning

confidence: 99%

“…For instance, Wahlstrom and Eriksson 6 replaced the inverse proportional function with an ellipse function. Canova et al 7 proposed a relationship between the JK model empirical coefficients and compressor geometry parameters, such as rotor diameter, Trim, and area/radius (A/R) ratio. Apart from c-based models, a neural network approach 8 was also investigated, which was later shown by Paul and Kolmanovsky 9 to be not very effective in predicting mass flow rate.…”

Section: Introductionmentioning

confidence: 99%

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A physics-based zero-dimensional model for the mass flow rate of a turbocharger compressor with uniform/distorted inlet condition

Song

Zhao

Sun

et al. 2018

International Journal of Engine Research

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Turbocharger compressor, when fitted to a vehicle, usually operates with a curved inlet pipe which leads to distorted inlet flow field, hence deteriorating compressor flow capability. During the measurement of compressor performance, turbocharger-engine matching and controller design, the inlet flow field is, however, assumed to be uniform, which deviates from the real-world conditions. Consequently, the overall system performance could be compromised if the inlet distortion effect is ignored. To address this issue, in this article, a turbomachinery physics-based zero-dimensional model was proposed for the mass flow rate of a compressor with distorted inlet flow field due to 90° and 180° bent inlet pipe. The non-uniform flow is approximated as two-zone flow field, similar to parallel compressors, with the total pressure deviation between two zones modeled as a function of the flow velocity and pipe geometry. For each flow zone, the corresponding mass flow rate is estimated by approximating each sub-compressor as an adiabatic nozzle, where the fluid is driven by external work delivered by a compressor wheel governed by Euler’s turbomachinery equation. By including turbomachinery physics and compressor geometry information into the modeling, the model achieves high fidelity in compressor map interpretation and extrapolation, which is validated in experiments and the three-dimensional computational fluid dynamic simulation.

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“…By substituting equation (7) and c pa = kR=(k À 1) into equation (17), C 2 is obtained as 18can be modified as…”

Section: No Cross Flow Takes Place Throughout the Compres-mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A physics-based zero-dimensional model for the mass flow rate of a turbocharger compressor with uniform/distorted inlet condition

Song

Zhao

Sun

et al. 2018

International Journal of Engine Research

View full text Add to dashboard Cite

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“…Canova developed a Δ P c,loss model using a semi-empirical correlation with respect to the blade Mach number and the Trim of the compressor. 7 However, this approach required a large compressor data set for parameter identification. Simpler control-oriented models 1,2,9,21,22 use a first-order dynamic to represent the compressor power.…”

Section: Introductionmentioning

confidence: 99%

“…Canova et.al. 7 proposed another correlation between η t and the expansion ratio (ER), with coefficients being a function of the TC geometry parameters and rotational speed, among others. Unfortunately, this approach required a large data set for identification, and the application for VGT systems was not discussed.…”

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:

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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.

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“…The under-fitting phenomenon may occur if the structure is too simple and the quantity of nodes is too less; on the other hand, although the prediction capability of the neural network may improve to some extent by increasing its structural complexity and the number of nodes, its generalization ability may degrade, i.e., over-fitting phenomenon may occur; • Curve fitting method (empirical, semi-empirical, or mean value models). This method is widely used for predicting the working characteristics of compressors, mainly owing to its simpler and much more compact model structure than their theoretical counterparts, as well as their satisfactory predictive and extrapolation ability [3,6,[16][17][18][19][20][26][27][28][29]. The curve fitting method can be further divided into two sub-categories: Some studies directly fit the relationship between the rotational speed, mass flow rate, pressure ratio, and isentropic efficiency with appropriate functions; while some researchers utilize suitable functions to fit the relationship between Because the ultimate purpose of this paper is to find a compressor model that is most suitable for the modeling of marine two-stroke diesel engine used for the marine engineering simulator, which has a relatively high requirement on both simulation speed and predictive accuracy, so only the empirical models developed with the curve fitting method are compared and analyzed in this paper owing to their simplicity, superior time-efficiency, and satisfactory predictive ability.…”

mentioning

confidence: 99%

Applicable and Comparative Research of Compressor Mass Flow Rate and Isentropic Efficiency Empirical Models to Marine Large-Scale Compressor

Shen

Zhang

et al. 2019

Energies

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A compressor is an indispensable component of marine large two-stroke diesel engines. For this type of engine, the compressor mass flow rate and isentropic efficiency empirical models are preferred for both the working cycle dynamic simulation research and the design and testing of control and diagnostics algorithms due to their compact and simple structures, and satisfactory prediction accuracy. Due to absence of comprehensive applicable and comparative research on compressor mass flow rate and isentropic efficiency empirical models for large-scale marine compressors in the literature, two marine compressors with different size, flow rate range, and speed range were selected as research objects in this paper, and a relevant study was conducted to compare and analyze the prediction ability of several classical models, and some recently proposed compressor mass flow rate and isentropic efficiency empirical models. The range of this comparative study includes the prediction accuracy in the design operating area and the extrapolation ability in off-design operating areas. Based on the obtained research results, several guidelines are summarized, which can be followed when developing compressor mathematical models, especially for marine applications. In addition, several research interests are discussed and presented, which can be further studied in the future.

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A Scalable Modeling Approach for the Simulation and Design Optimization of Automotive Turbochargers

Cited by 15 publications

References 14 publications

A physics-based zero-dimensional model for the mass flow rate of a turbocharger compressor with uniform/distorted inlet condition

A physics-based zero-dimensional model for the mass flow rate of a turbocharger compressor with uniform/distorted inlet condition

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

Applicable and Comparative Research of Compressor Mass Flow Rate and Isentropic Efficiency Empirical Models to Marine Large-Scale Compressor

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