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Research Papers

# Modeling and Simulation of the Steady-State and Transient Performance of a Three-Way Pressure Reducing Valve

[+] Author and Article Information

Mechanical Engineering Department,
College of Engineering and Petroleum,
Kuwait University,
Safat 5969, Kuwait

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received June 2, 2014; final manuscript received December 7, 2015; published online January 12, 2016. Assoc. Editor: Ryozo Nagamune.

J. Dyn. Sys., Meas., Control 138(3), 031001 (Jan 12, 2016) (10 pages) Paper No: DS-14-1234; doi: 10.1115/1.4032221 History: Received June 02, 2014; Revised December 07, 2015

## Abstract

This paper deals with modeling and simulation of a class of three-way pressure reducing valves. The study aims to point out the peculiarities of function and operation of this class of valves in the steady-state and transient modes of operation. A comprehensive nonlinear mathematical model is deduced in order to predict the performance of the studied valve in both modes. The proposed model takes into consideration most nonlinearities of the studied valve. A computer simulation, based on the proposed model, is performed to predict the steady-state and transient performance. During the simulation study, it was found that nonlinearity occurs due to the following factors: the transient change in the valve operating pressures and the change in the throttling areas of the valve restrictions and their discharge coefficients. The transient change in the valve operating pressures causes nonlinear velocity changes of the fluid flow passing through the throttling areas of the valve restrictions. These throttling areas usually have nonlinear mathematical formulas. The discharge coefficients of these throttling areas are assumed constant independent of the flow rates, Reynolds number, and dimensions of these areas. However, these parameters affect the discharge coefficient in a complicated manner. The validity of the proposed model is assessed experimentally in the steady-state and transient modes of operation. The results show good agreement between simulation and experiment in both modes. The study shows that the geometry of the throttling orifice, which connects the upstream port to the downstream port, plays an important role in the studied valve steady-state and transient performance. This result implies the need for further investigation of the effect of the dimensions of the throttling orifices on the steady-state and transient performance of hydraulic control valves.

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## References

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## Figures

Fig. 7

Measured and simulated results of the Pr(Pc) characteristics of the studied valve at different values of the spring presetting

Fig. 8

Measured and simulated results of the Qr(Pr) characteristics of the studied valve at different values of the spring presetting

Fig. 9

Measured and simulated results of the Qt (Pr) characteristics of the studied valve at different values of the spring presetting

Fig. 6

Experimental results of the transient response of the DCV throttling opening area av(xv)

Fig. 5

Hydraulic circuit of the test stand

Fig. 4

Second throttling opening area a2(x)

Fig. 3

Control piston motion

Fig. 2

Schematic diagram of the studied three-way pressure reducing valve

Fig. 1

Three-way pressure reducing valve

Fig. 10

Measured and simulated results of the transient response of the studied valve for approximately one turn setting of the spring at different positions of the first loading orifice

Fig. 11

Measured and simulated results of the transient response of the studied valve for approximately two turns setting of the spring at different positions of the first loading orifice

Fig. 12

Measured and simulated results of the transient response of the studied valve for approximately four turns setting of the spring at different positions of the first loading orifice

## Errata

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