Modelling and experimental studies on a proportional valve using an innovative dynamic flow-rate measurement in fluid power systems

Abstract

A numerical model of a servoactuator and of a four-port proportional direction control valve has been developed. Mechanical and hydraulic elements have been simulated in the LMS Amesim® environment. The complete model has been validated on the basis of the experimental time histories of the actuator velocity and of the flow-rate controlled by the proportional valve. The validation data have been acquired on a fluid power system used to test electro-hydraulic servovalves according to ISO 10770-1 standard. The measurement of the instantaneous flow-rate through the valve has been performed with an innovative high-dynamics flowmeter, recently developed for high-pressure liquid flows. Furthermore, the model predicted static characteristic of the proportional valve has been compared with a corresponding experimentally derived curve and an analysis of the cause-and-effect relationships has been carried out for the valve static performance. Measured data on valve leakages have also been presented in order to complete the steady-state characterization of the tested valve. The developed model of the hydraulic system has been then applied to realize the Bode diagram of the proportional valve, which is expressed in terms of instantaneous flow-rate as a function of the sinusoidal driving command, as well as the Bode diagram of the subsystem made up of the proportional valve and of the linear actuator. The latter Bode graph is plotted in terms of piston velocity as a function of the sinusoidal driving command provided to the valve. The comparison between the two Bode diagrams has confirmed the accuracy of the ISO procedure, which is based on the assumption of negligible delay introduced by the dynamic response of the servo-actuator and by the oil compressibility. A reliable and cost-saving methodology, which uses the innovative flowmeter instead of the low inertia servo-actuator, is proposed as an alternative to the ISO standard for testing the dynamic response of proportional valves.

Keywords

Proportional valve instantaneous flowmeter high-pressure liquid flows servovalve dynamic performance leakages fluid power systems

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References

Yokota

Kim

Nakano

. An unsteady flow rate measurement method utilizing dynamic characteristics between pressure and flow rate along a pipeline (a method using pressures at two separated points). JSME Int J 1992; 35: 591–597.

Brereton

Schock

Rahi

MAA

. An indirect pressure-gradient technique for measuring instantaneous flow rates in unsteady duct flows. Exp Fluids 2006; 40: 238–244.

Ozawa A, Gao B and Sanada K. Estimation of fluid transients in a pipe using kalman filter based on optimized finite element model. In: SICE annual conference, Taipei, Taiwan 18–21 August, 2010.

Sanada

. Using a Kalman filter to estimate unsteady flow. Int J Automat Technol 2012; 6: 440–444.

Kashima A, Lee PJ and Nokes R. Accuracy of instantaneous flow rate estimation using pressure measurements. In: 17th Australasian fluid mechanics conference, Auckland, New Zealand, 5–9 December 2010.

Kashima

Lee

Mohamed Salah

et al.

Experimental verification of the kinetic differential pressure method for flow measurements. J Hydraul Res 2013; 51: 634–644.

Johnston

Pan

Kudzma

et al.

Use of pipeline wave propagation model for measuring unsteady flow rate. J Fluids Eng 2014; 136: 031203.

Brereton

Schock

Belford

. An indirect technique for determining instantaneous flow rate from centerline velocity in unsteady duct flows. Flow Measure Instrument 2008; 19: 9–15.

Edge

Johnston

. The ‘Secondary Source’ method for the measurement of pump pressure ripple characteristics part 1: description of method. Proc IMechE, Part A: J Power and Energy 1990; 204: 33–40.

10.

Garcia-Vilchez

Gamez-Montero

Codina

et al.

Computational fluid dynamics and particle image velocimetry assisted design tools for a new generation of trochoidal gear pumps. Adv Mech Eng 2015; 7: 1–14.

11.

Watton

Xue

. Identification of fluid power component behaviour using dynamic flowrate measurement. Proc IMechE, Part C: J Mechanical Engineering Science 1995; 209: 179–191.

12.

Wei

Qiu

. Dynamic characteristic of large flow rating electro-hydraulic proportional cartridge valve. Chin J Mech Eng 2008; 21: 57–62.

13.

Dong

Zhang

et al.

Research on a novel flow rate inferential measurement method and its application in hydraulic elevators. Proc IMechE Part C: J Mechanical Engineering Science 2017; 231: 372–386.

14.

Murrenhoff

. Trends in valve development. O + P Ölhydraulik und Pneumatik 2003; 46: 1–36.

15.

Burrows

Martin

. Measuring the oscillating flow from an electro-hydraulic servo-valve using an indirect method. Proc Inst Mech Eng 1974; 188: 519–526.

16.

Weston

Lalor

. Determination of the dynamic flow characteristics of an electro-hydraulic servo-valve using a laser velocimeter. J Phys D 1979; 12.

17.

ISO 10770-1: 1995. Hydraulic fluid power – electrically modulated hydraulic control valves – part 1: test methods for four way directional flow control valves.

18.

ISO 5783: 1995. Hydraulic fluid power – code for identification of valve mounting surfaces and cartridge valve cavities.

19.

ISO 1219-1:2012. Fluid power systems and components – graphical symbols and circuit diagrams – part 1: graphical symbols for conventional use and data-processing applications.

20.

Rundo M. On the dynamics of pressure relief valves with external pilot for ice lubrication. In: Proceedings of the ASME international mechanical engineering congress and exposition (IMECE), Montreal, Canada, 14–20 November 2014.

21.

Ferrari

Pizzo

. Optimization of an algorithm for the measurement of unsteady flow-rates in high-pressure pipelines and application of a newly designed flowmeter to volumetric pump analysis. ASME Trans J Eng Gas Turbines Power 2015; 138: 031604.

22.

Catania

Ferrari

. Development and assessment of a new operating principle for the measurement of unsteady flow rates in high-pressure pipelines. Flow Measure Instrument 2009; 20: 230–240.

23.

Tortone L. Sviluppo del controllo di un banco prova per servovalvole elettroidrauliche. MSc Thesis, Politecnico di Torino, Italy, 2014 (in Italian).

24.

Zhu

Jin

. Analysis and modeling of a proportional directional valve with nonlinear solenoid. J Braz Soc Mech Sci Eng 2016; 38: 507–514.

25.

Ferrari

Paolicelli

Pizzo

. The new-generation of solenoid injectors equipped with pressure-balanced pilot valves for energy saving and dynamic response improvement. Appl Energ 2015; 151: 367–376.

26.

Catania

Ferrari

Manno

. Development and application of a complete multijet common-rail injection-system mathematical model for hydrodynamic analysis and diagnostics. ASME Trans J Eng Gas Turbines Power 2008; 130: 062809.

27.

Catania

Ferrari

. Advanced mathematical modeling of electronic unit-injector systems for heavy-duty diesel engine application. SAE Int J CommVehic 2009; 1: 134–151.

28.

Borghi

Milani

Paoluzzi

. Influence of notch shape and number of notches on the metering characteristics of hydraulic spool valves. Int J Fluid Power 2005; 6: 5–18.

29.

Šimic

Debevec

Herakovič

. Modelling of hydraulic spool-valves with specially designed metering edges. J Mech Eng 2014; 60: 77–83.

30.

Amirante

Distaso

Tamburrano

. Sliding spool design for reducing the actuation forces in direct operated proportional directional valves: experimental validation. Energ Convers Manage 2016; 119: 399–410.

31.

Eryilmaz

Wilson

. Unified modeling and analysis of a proportional valve. J Franklin Inst 2006; 343: 48–68.

32.

Jia W and Zhu D. Analysis and experimental study of median-nonlinear flow characteristics in hydraulic proportional valve. In: International conference on logistics engineering, management and computer science, Shenyang, China, 26–28 June 2015.

33.

Ogata

. Modern control engineering 20105th ed. New Jersey, USA: Prentice Hall.

34.

Lisowski

Filo

Rajda

. Pressure compensation using flow forces in a multi-section proportional directional control valve. Energy Conversion and Management 2015; 103: 1052–1064.

35.

Amirante

Catalano

Poloni

et al.

Fluid-dynamic design optimization of hydraulic proportional directional valves. Eng Optim 2014; 46: 1295–1314.

36.

Šimic

Herakovič

. Reduction of the flow forces in a small hydraulic seat valve as alternative approach to improve the valve characteristics. Energy Convers Manage 2015; 89: 708–718.

37.

Altare G, Rundo M and Olivetti M. 3D Dynamic simulation of a flow force compensated pressure relief valve. In: Proceedings of the ASME international mechanical engineering congress and exposition (IMECE), Phoenix, USA, November 11–17, 2016.

38.

Finesso

Rundo

. Numerical and experimental investigation on a conical poppet relief valve with flow force compensation. Int J Fluid Power 2017; 18: 1–12.

39.

Merritt

. Hydraulic control systems, New York, USA: John Wiley & Sons, 1967.

40.

Valdés

Miana

Núñez

et al.

Reduced order model for estimation of fluid flow and flow forces in hydraulic proportional valves. Energy Convers Manage 2008; 49: 1517–1529.

41.

Lisowski

Czy ż ycki

Rajda

. Three dimensional CFD analysis and experimental test of flow force acting on the spool of solenoid operated directional control valve. Energy Convers Manage 2013; 70: 220–229.