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Research Papers

A Validated Modular Model for Hydraulic Actuation in a Pushbelt Continuously Variable Transmission

[+] Author and Article Information
Stan van der Meulen

Control Systems Technology Group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlandss.h.v.d.meulen@ieee.org

Rokus van Iperen

 TMC Mechatronics, P.O. Box 700, 5600 AS Eindhoven, The Netherlandsrokus.van.iperen@tmc.nl

Bram de Jager

Control Systems Technology Group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlandsa.g.de.jager@tue.nl

Frans Veldpaus

Control Systems Technology Group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlandsf.e.veldpaus@tue.nl

Francis van der Sluis

Department of Advanced Engineering, Bosch Transmission Technology, P.O. Box 500, 5000 AM Tilburg, The Netherlandsfrancis.vandersluis@nl.bosch.com

Maarten Steinbuch

Control Systems Technology Group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlandsm.steinbuch@tue.nl

J. Dyn. Sys., Meas., Control 133(4), 041004 (Apr 06, 2011) (15 pages) doi:10.1115/1.4003207 History: Received January 04, 2010; Revised August 13, 2010; Published April 06, 2011; Online April 06, 2011

A reduction in the fuel consumption of a passenger car with a pushbelt continuously variable transmission (CVT) can be established via optimization of the hydraulic actuation system. This requires a model of the dynamic characteristics with low complexity and high accuracy, e.g., for closed-loop control design, for closed-loop simulation, and for optimization of design parameters. The hydraulic actuation system includes a large number of hydraulic components and a model of the dynamic characteristics is scarce, which is caused by the complexity, the nonlinearity, and the necessity of a large number of physical parameters that are uncertain or unknown. In this paper, a modular model for the hydraulic actuation system on the basis of first principles is constructed and validated, which is characterized by a relatively low complexity and a reasonably high accuracy. A modular approach is pursued with respect to the first principles models of the hydraulic components, i.e., a hydraulic pump, spool valves, proportional solenoid valves, channels, and hydraulic cylinders, which reduces complexity and improves transparency. The model parameters are either directly provided, directly measured, or identified. The model of the hydraulic actuation system is composed of the models of the hydraulic components and is experimentally validated by means of measurements that are obtained from a production pushbelt CVT. Several experiment types are considered. The correspondence between the measured and simulated responses is fairly good.

Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Simplified configuration of a hydraulic actuation system of a pushbelt CVT

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Figure 2

Theoretical volumetric efficiency of the hydraulic pump (solid: ppump=6.9 bar; dashed: ppump=20.7 bar; dashed-dotted: ppump=83.0 bar)

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Figure 3

Schematic overview of the cross-section of a spool valve

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Figure 4

Schematic overview of the situations of a spool valve

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Figure 5

Schematic overview of the flow through a spool valve with flow force compensation

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Figure 6

Schematic overview of the cross-section of a proportional solenoid valve

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Figure 7

Relation between solenoid current Isol and magnetic force Fmag (normalized) of a proportional solenoid valve

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Figure 8

Schematic overview of a hydraulic pulley cylinder

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Figure 9

Schematic overview of a pushbelt variator

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Figure 10

Photographs of the Mercedes-Benz WFC280 pushbelt CVT

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Figure 11

Schematic overview of the Mercedes-Benz WFC280 hydraulic actuation system

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Figure 12

Measurements of inputs of model for step response experiment with Configuration 1 (j∊{p,s}: gray, p; black, s)

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Figure 13

Validation results for step response experiment with Configuration 1 (gray: experimental result; black: simulation result)

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Figure 14

Measurements of inputs of model for sinusoidal response experiment with Configuration 1 (j∊{p,s}: gray, p; black, s)

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Figure 15

Validation results for sinusoidal response experiment with Configuration 1 (gray: experimental result; black: simulation result)

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Figure 16

Nonparametric estimate of transfer function from Isol,p,ref to pp for discrete frequency grid Ω (○: experimental result; ∗: simulation result)

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Figure 17

Measurements of inputs of model for normal operation experiment with Configuration 2 (j∊{p,s}: gray, p; black, s)

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Figure 18

Validation results for normal operation experiment with Configuration 2 (gray: experimental result; black: simulation result)

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