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MapleSim Hydraulics Library from Modelon

DCV_4_3_B  Directional Control Valve with first-order spool dynamics, a spool with 4 ports, and 3 stable positions; when in the middle position, ports A, B and T are connected, and port P is closed

The DCV_4_3_B component describes a directional control valve with first-order spool dynamics, a spool with 4 ports, and 3 stable positions. When it is in the middle position, ports A, B and T are connected and port P is closed.

The laminar/turbulent flow through the valve is modeled as flow through orifices without cavitation. The commanded opening of the valve is input at commandA or commandB, respectively.

The parameter qnom gives the nominal flow rate of the fully opened flow path at the pressure drop Δpnom.

Amax=qnom12ρk2Δpnom 

dmax=2Amaxπ

For example, the maximum diameter for the flow path from P to B is given by dmaxPB:

AmaxPB=qnomPB12ρk2Δpnom 

AmaxPB=qnomPB12ρk2Δpnom 

dmaxPB=2AmaxPBπ

There is leakage flow modeled when the respective flow path is nominally closed. The position of the spool is modeled as a first-order system.

Input signals: commandA and commandB.

When commandA=true and commandB=false, the left square of the valve icon describes the flow paths.

When commandA=false and commandB=true, the right square of the valve icon describes the flow paths.

Otherwise, the middle square describes the flow paths.

Intermediate positions and the respective connections are modeled and shown below. (See DCV_4_3_X for general information on valve diagrams.)

Figure Flow paths in the valve as a function of spool position. 1 means completely open, 0 means completely closed.

Command signals

Flow paths and diameter of metering orifice

commandA=true and commandB=false

Flow from P  B, A  T. Flow diameter from P  B: dmax_P_B+dleak. Flow diameter from A  T: dmax_A_T+dleak. Flow diameter from P  A: dleak. Flow diameter from B  T: dleak. Flow diameter from A  B: dleak.

commandA=false and commandB=false

Flow from B  T, A  B. Flow diameter from P  B: dleak. Flow diameter from A  T: dleak. Flow diameter from P  A: dleak. Flow diameter from B  T: dmax_B_T+dleak. Flow diameter from A  B: dmax_A_B+dleak

commandA=false and commandB=true

Flow from P  A, B  T. Flow diameter from P  B: dleak. Flow diameter from A  T: dleak. Flow diameter from P  A: dmax_P_A+dleak. Flow diameter from B  T: dmax_B_T+dleak. Flow diameter from A  B: dleak.

 

When the pump pressure and the flow rate are high, the unbalanced forces and flow forces acting on the spool are higher than the force generated by the solenoid and the valve is partially closed. The effect can be modeled by the parameters P_max and coeff_P. Specify the maximum hydraulic power in W (where the valve is still completely open) and use coeff_P to adjust the model to the manufacturer's data. When the specified hydraulic power is exceeded, a warning is printed in the log window (Mode Simulation / Simulation / Show Log).

The movement of the spool is described by a first-order system. This is appropriate for valves that are directly actuated by a spool. The times to shift from the neutral position to an end position (τopening) may be different than the time to shift to the neutral position (τclosing).

Use the modifier(s)

VolumeA(port_A(p(start=1e5,fixed=true)))

and/or

VolumeB(port_A(p(start=1e5,fixed=true)))

and/or

VolumeP(port_A(p(start=1e5,fixed=true)))

and/or

VolumeT(port_A(p(start=1e5,fixed=true)))

to set the initial condition(s) for the pressure of the lumped volume(s) Pa.

Events

There is a new boolean reduceEvents (selected by default) in the Parameters  Advanced section under the Properties tab ( ). Selecting reduceEvents lets the model use noEvents(expr) to generate fewer events for boolean expressions that should not generate events. In some cases the solver might reduce the stepsize too much and generate a lot of steps. If this happens, try clearing reduceEvents.

 

Variables

Connections

Parameters

Variables

Name

Value

Units

Description

Modelica ID

p_Asummary

spool_43.p_A

Pa

Pressure at port A

summary_pA

p_Bsummary

spool_43.p_B

Pa

Pressure at port B

summary_pB

p_Psummary

spool_43.p_P

Pa

Pressure at port P

summary_pP

p_Tsummary

spool_43.p_T

Pa

Pressure at port T

summary_pT

ΔpPAsummary

[1]

Pa

Pressure drop

summary_dp_PA

ΔpPBsummary

[2]

Pa

Pressure drop

summary_dp_PB

ΔpATsummary

[3]

Pa

Pressure drop

summary_dp_AT

ΔpBTsummary

[4]

Pa

Pressure drop

summary_dp_BT

VA

 

 

 

VolumeA

VB

 

 

 

VolumeB

VP

 

 

 

VolumeP

coil

 

 

 

coil

spool_43

 

 

 

spool_4_3

VT

 

 

 

VolumeT

q_PAsummary

spool_43.mor_PA.q

m3s

Flow rate flowing port_P to port_A

summary_qPA

q_PBsummary

spool_43.mor_PB.q

m3s

Flow rate flowing port_P to port_B

summary_qPB

q_ATsummary

spool_43.mor_AT.q

m3s

Flow rate flowing port_A to port_T

summary_qAT

q_BTsummary

spool_43.mor_BT.q

m3s

Flow rate flowing port_B to port_T

summary_qBT

[1] spool_43.port_P.pspool_43.port_A.p

[2] spool_43.port_P.pspool_43.port_B.p

[3] spool_43.port_A.pspool_43.port_T.p

[4] spool_43.port_B.pspool_43.port_T.p

Connections

Name

Description

Modelica ID

portA

Port A, one of valve connections to actuator or motor

port_A

portB

Port B, one of valve connections to actuator or motor

port_B

portP

Port P, where oil enters the component from the pump

port_P

portT

Port T, where oil flows to the tank

port_T

commandB

Command signal for valve

commandB

commandA

Command signal for valve

commandA

oil

 

oil

Parameters

General Parameters

Name

Default

Units

Description

Modelica ID

use volume A

true

 

If true, a volume is present at port_A

useVolumeA

use volume B

true

 

If true, a volume is present at port_B

useVolumeB

use volume P

true

 

If true, a volume is present at port_P

useVolumeP

use volume T

true

 

If true, a volume is present at port_T

useVolumeT

VA

10-6

m3

Geometric volume at port A

volumeA

VB

10-6

m3

Geometric volume at port B

volumeB

VP

10-6

m3

Geometric volume at port P

volumeP

VT

10-6

m3

Geometric volume at port T

volumeT

ΔTsystem

0

K

Temperature offset from system temperature

dT_system

Advanced Parameters

Name

Default

Units

Description

Modelica ID

reduce events

true

 

If true, reduce event generation

reduceEvents

Dynamic Parameters

Name

Default

Units

Description

Modelica ID

τopening

0.03

s

Switching time to open valve 95 %

tau_opening

τclosing

0.02

s

Switching time to close valve 95 %

tau_closing

Flow Parameters

Name

Default

Units

Description

Modelica ID

Δpnom

7.·105

Pa

Pressure drop at nominal flow rate qnom

dpnom

qnomPA

0.00158

m3s

Nominal flow rate from P -> A

qnom_P_A

qnomPB

qnomPA

m3s

Nominal flow rate from P -> B

qnom_P_B

qnomAT

qnomPA

m3s

Nominal flow rate from A -> T

qnom_A_T

qnomBT

qnomPA

m3s

Nominal flow rate from B -> T

qnom_B_T

qnomAB

qnomPA

m3s

Nominal flow rate from A -> B

qnom_A_B

Pmax

1.26·105

W

Max. hydraulic power

P_max

coeffP

10

 

Influence of hydraulic power on flow rate

coeff_P

k1

10

 

Laminar part of orifice model

k1

k2

2

 

Turbulent part of orifice model, k2=1Cd2

k2

Spool Geometry Parameters

Name

Default

Units

Description

Modelica ID

dleak

1.67·10-5

m

Diameter of equivalent orifice to model leakage of closed valve

dleak

See Also

DirectionalControl

MapleSim Hydraulics Library from Modelon Overview

 


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