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# FourThreeWayProportionalValve

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# FourThreeWayProportionalValve

## Library

Iconic Diagrams\Hydraulics\Valves\Basic Valves

## Use

Domains: Continuous. Size: 1-D. Kind: Iconic Diagrams (Hydraulics).

## Description

This model describes a 4/3-way proportional control valve with second order spool dynamics.

The spool position is indicated by the variable sp:

 sp = -1 Flow from p to b and a to t -1 < sp < 0 Partial flow from p to b and a to t sp = 0 No flow 0 < sp < 1 Partial flow from p to a and b to t sp = 1 Flow from p to a and b to t

The flow through the valves is described as laminar/turbulent flow through an orifice. A detailed description of the flow equations can be found in the description of the model TwoTwoWayDirectionalValve.

In the neutral spool position (sp = 0) all valves are closed. A positive overlap indicates that the spool must travel a certain distance before the valves open. A negative overlap indicates that the valves are already open in the neutral position. A 4/3-way directional control valve with negative overlap could therefore also be indicated by the figure below.

The overlap is indicated by the parameter overlap, which is given as a fraction of the spool position. Note that overlap is only active in the neutral position. For the spool position equal to 1 or -1 the valves are completely open or completely closed.

The spool position sp is a function of the input signal spoolpos:

sp = SO(f,d,discrete(spoolpos))

where SO is a second order transfer function to model the spool dynamics. The function is characterized by the bandwidth (f) and damping (d). The valve input position spoolpos should be limited to the range between -1 and 1.

## Implementation

The 4/3-way proportional control valve is implemented with various spool centre configurations. The configurations are shown in the picture below:

When you drag and drop a model in the editor, you will be asked which implementation you want to choose. During modeling you can easily change the spool center configuration:

 1 Select the valve model.
 2 Click the right mouse button to open the right mouse menu.
 3 Click Edit Implementation and choose another implementation

## Interface

 Ports Description pp, pt, pa, pb, All terminals of the valve. Causality fixed volume flow out pp fixed volume flow out pt fixed volume flow out pa fixed volume flow out pb Inputs spoolpos position of the spool valve: 0 =closed, 1 = open 0 <= spoolpos <= 1 Parameters rho GLeak Amax Cd overlap f d Mass density of the fluid [kg/m3]. Conductance of the laminar leakage flows [m3/s.Pa], GLeak >= 0. Maximum spool valve areas when the valves are open [m2], Amax > 0. Discharge coefficient [], Cd > 0. The valve overlaps in closed position [], -1 < overlap < 1. Bandwidth of the spool dynamics [Hz], f > 0. Damping of the spool dynamics [], d > 0