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TECHNICAL PAPERS

Mathematical Modeling of a Two Spool Flow Control Servovalve Using a Pressure Control Pilot

[+] Author and Article Information
Randall T. Anderson, Perry Y. Li

Department of Mechanical Engineering, University of Minnesota, 111 Church St. SE, Minneapolis, MN 55455

J. Dyn. Sys., Meas., Control 124(3), 420-427 (Jul 23, 2002) (8 pages) doi:10.1115/1.1485287 History: Received February 01, 2001; Online July 23, 2002
Copyright © 2002 by ASME
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References

Anderson,  Wayne R., 1983, “Two Member Boost Stage Valve for a Hydraulic Control,” Tech. Rep. 4537220, US Patent.
Sauer-Danfoss Inc., Product Description: KVF97 Flow Control Servovalve, 1997, BLN-95-9061-1.
Merritt, Herbert E., 1967, Hydraulic Control Systems, Wiley, New York.
Wang, D., Dolid, R., Donath, M., and Albright, J., 1988, “Development and Verification of a Two-Stage Flow Control Servovalve Model,” Proceedings of the ASME Winter Annual Meeting, 1995, Vol. FPST-Vol. 2, pp. 121–129.
Anderson, Wayne R., 1988, Controlling Electrohydraulic Systems, Marcel Dekker, NY.
Li,  Perry Y., 2001, “Dynamic Redesign of a Flow Control Servovalve Using a Pressure Control Pilot,” Proceedings of the ASME. Dynamic Systems and Control Division, IMECE New York, NY, Vol. IMECE2001-DSC-24563; (published in this issue) ASME J. Dyn. Syst., Meas., Control, 124(3), pp. 428–434.
Tsai,  S. T., Akers,  A., and Lin,  S. J., 1991, “Modeling and Dynamic Evaluation of a Two-Stage Two-Spool Servovalve Used for Pressure Control,” ASME J. Dyn. Syst., Meas., Control, 113, Dec., pp. 709–713.
Lin, S-C. J., and Akers, A., 1990, “Modeling and Analysis of the Dynamics of a Flow Control Servovalve That Uses a Two-Spool Configuration,” Proceedings of the ASME-Winter Annual Meeting, Vol. 90-WA/FPST-3.
Sauer-Danfoss Inc., Product Description: MCV116 Pressure Control Pilot Valve, 1999, BLN-95-9033-1.
R. J. Roark and W. C. Young, Formulae for Stress and Strain, Fifth edition, McGraw Hill, New York.
Krishnaswamy,  Kailash, and Li,  Perry Y., 2002, “On Using Unstable Electrohydraulic Valves for Control,” pp. 3615–3619, ASME J. Dyn. Syst., Meas., Control, 124, Mar., pp. 183–190. (also, Proceedings of 2000 American Control Conference).

Figures

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Schematic of the two spool flow control valve using a pressure control pilot
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Signal flow and subsystem interconnection diagram of the valve
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Free body diagram of the armature-flapper
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Schematic of the experimental setup
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Steady-state response. Top: flow Qa versus input current; bottom: flow Qa versus load pressures PL at various currents i.
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Step responses. Input steps are square waves with peaks of ±10 mA, ±20 mA, and ±30 mA.
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Frequency responses measured at 20 mA D.C. input superimposed by ±3 mA sinusoid. Top: magnitude plot, bottom: phase.
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Armature magnetic circuit. R1,R2 represent the variable air-gaps; Ra,Rb represent the fixed air-gaps. N⋅i and M0 are the MMF’s due to the input current and the permanent magnet, respectively.
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Free body diagram for spool A
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Flow paths when spools are displaced from null positions

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