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MapleSim Hydraulics Library from Modelon

Variable Motor  Variable displacement motor with leakage

The Variable Motor component describes a motor with variable displacement and losses.

Implementation

See component Id Var Mot. The delivered flow rate at the outlet port of this model may be different because of flow into volumes and internal and external leakage.

Mechanical efficiency

This model includes a component for constant mechanical loss, set by the parameter mechanicalEfficiencyCoefficient.

Assumptions

Constant mechanical loss.

 

Equations

Variables

Connections

Parameters

Equations

T=T0oil+ΔTsystem

q=mflowAρoilpAabs,T,vair=vgasoil,psat=psat

w=tφa

Δp=pAlimitedpBlimited

pAabs=pA+patmoil

pAlimited=maxpA,pvapouroilpatmoil

pBabs=pB+patmoil

pBlimited=maxpB,pvapouroilpatmoil

Variables

Name

Value

Units

Description

Modelica ID

Δp

 

Pa

Pressure drop

dp

pAlimited

 

Pa

Limited gauge pressure

pA_limited

pBlimited

 

Pa

Limited gauge pressure

pB_limited

pAabs

 

Pa

Absolute pressure

pA_abs

pBabs

 

Pa

Absolute pressure

pB_abs

q

 

m3s

Flow rate at connector A

q

w

 

rads

Angular velocity of pump shaft

w

T

 

K

Local temperature

T

pAsummary

pA

Pa

Pressure at port A

summary_pA

pBsummary

pB

Pa

Pressure at port B

summary_pB

Δpsummary

Δp

Pa

Pressure drop

summary_dp

qsummary

q

m3s

Flow rate flowing into port_A

summary_q

Pmechsummary

[1]

W

Mechanical Rotational Power

summary_MP

Phydsummary

Δpq

W

Hydraulic Power

summary_HP

psat

[2]

Pa

Gas saturation pressure

p_sat

VA

 

 

 

VolumeA

VB

 

 

 

VolumeB

Ta

 

 

 

Ta

Ta1

 

 

 

Ta1

LamnS

 

 

 

LamnS

energyLoss

 

 

 

energyLoss

fixedTemperature

 

 

 

fixedTemperature

fixed

 

 

 

fixed

IvM

 

 

 

IvM

Rotor

 

 

 

Rotor

[1] ϕ.aτa+ϕ.bτb

[2] oil.gasSaturationPressureT,oil.vgas

Connections

Name

Description

Modelica ID

portA

Port A, where oil flows into the component (0<q, pB<pA means 0<&Delta;p)

port_A

portB

Port B, where oil leaves the component (q<0, pB<pA means 0<&Delta;p)

port_B

flangea

 

flange_a

flangeb

 

flange_b

oil

 

oil

commandSignal

Input signal commands relative displacement volume

commandSignal

Parameters

General Parameters

Name

Default

Units

Description

Modelica ID

&Delta;Tsystem

0

K

Temperature offset from system temperature

dT_system

external leakage

true

 

If true, a small amount of oil leaks to the tank components

externalLeakage

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

Gext

10-13

m3sPa

Conductance of external leakage

Gext

Gint

5.·10-12

m3sPa

Conductance of the internal motor leakage

Gint

Dmotor

10-4

m3

Displacement per revolution

Dmotor

J

0.01

kgm2

Moment of inertia

J

td

710

 

Friction coefficient

td

εmechcoeff

1

 

Constant for mechanical efficiency

mechanicalEfficiencyCoefficient

Oil Parameters

Name

Default

Units

Description

Modelica ID

VA

10-6

m3

Geometric volume at port A

volumeA

VB

10-6

m3

Geometric volume at port B

volumeB

See Also

Id Var Mot

Pumps

MapleSim Hydraulics Library from Modelon Overview

 


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