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Research Articles

Comprehensive Nonlinear Modeling of a Pilot Operated Relief Valve

[+] Author and Article Information
Osama Gad

Mechanical Engineering Department,
College of Engineering and Petroleum,
Kuwait University,
P.O. Box 5969,
Safat, Kuwait
e-mail: osama.gad@ku.edu.kw

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 7, 2011; final manuscript received April 28, 2012; published online October 30, 2012. Assoc. Editor: Rama K. Yedavalli.

J. Dyn. Sys., Meas., Control 135(1), 011011 (Oct 30, 2012) (7 pages) Paper No: DS-11-1379; doi: 10.1115/1.4006883 History: Received December 07, 2011; Revised April 28, 2012

This paper is directed toward a comprehensive nonlinear modeling and simulation of the performance of a class of a pilot operated relief valves. A mathematical model is deduced to predict the performance of the valve in the steady state and transient modes of operations. The developed model takes into consideration most nonlinearities of the valve and is studied within the MATLAB-SIMULINK environment. The validity of the proposed model is assessed experimentally in the steady state and transient modes of operations. The detailed modeling has resulted in a good agreement between simulation and experimental results. During the simulation studied, it was found that, nonlinearity occurs due to three factors: the pressure changes cause nonlinear velocity changes of the flow rate, the throttling area of the valve restriction usually changes nonlinearly, and the discharge coefficient of the throttling area of the valve restriction does not remain constant. In the transient mode of operation, the simulation studied identified some critical parameters which have a significant effect on the transient response of the valve. Most of the model’s parameters can be evaluated readily by direct measurement of the valve components dimensions thought the Coulomb friction factor and bulk modulus are tuned to match the model to the measurements.

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References

Figures

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Fig. 1

Pilot operated relief valve

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Fig. 2

Schematic diagram of the studied relief valve

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Fig. 3

Opening area of the main piston element

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Fig. 4

Pilot stage throttling area

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Fig. 5

The hydraulic circuit of the test stand

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Fig. 6

Experimental results of the transient response of the DCV displacement

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Fig. 7

Measured and simulated results of the steady state characteristics of the relief valve at different precompression of the poppet spring

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Fig. 8

Measured and simulated results of the transient response of the valve when the precompression of the poppet spring is equal to zero

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Fig. 9

Measured and simulated results of the transient response of the valve when the precompression of the poppet spring is equal to 2 mm

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Fig. 10

Measured and simulated results of the transient response of the valve when the precompression of the poppet spring is equal to 3.5 mm

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Fig. 11

Measured and simulated results of the transient response of the valve when the poppet spring is totally compressed on the poppet element

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