modelFriction

Model of angular velocity dependent friction losses

Extends from Machines.Interfaces.FlangeSupport (Shaft and support), Modelica.Thermal.HeatTransfer.Interfaces.PartialElementaryConditionalHeatPortWithoutT (Partial model to include a conditional HeatPort in order to dissipate losses, used for textual modeling, i.e., for elementary models).

Information

The friction losses are considered by the equations

  tau / tauRef = (+w / wRef) ^ power_w    for w > +wLinear
- tau / tauRef = (-w / wRef) ^ power_w    for w < -wLinear

with

tauRef * wRef = PRef

being the friction torque at the reference angular velocity wRef. The exponent power_w is approximately 1.5 for axial ventilation and approximately 2.0 for radial ventilation.

For stability reasons the friction torque tau is approximated by a linear curve

tau / tauLinear = w / wLinear

with

tauLinear = tauRef*(wLinear/wRef) ^ power_w

in the range -wLinear ≤ w ≤ wLinear with wLinear = 0.001 * wRef. The relationship of torque and angular velocity is depicted in Fig. 1

frictiontorque.png
Fig. 1: Friction loss torque versus angular velocity for power_w = 2

See also

FrictionParameters

If it is desired to neglect friction losses, set frictionParameters.PRef = 0 (this is the default).

Parameters

TypeNameDefaultDescription
FrictionParametersfrictionParametersFriction loss parameters
BooleanuseHeatPort (from PartialElementaryConditionalHeatPortWithoutT)false= true, if heatPort is enabled

Connectors

TypeNameDefaultDescription
Modelica.Mechanics.Rotational.Interfaces.Flange_aflange (from FlangeSupport)Shaft end
Modelica.Mechanics.Rotational.Interfaces.Flange_asupport (from FlangeSupport)Housing and support
HeatTransfer.Interfaces.HeatPort_aheatPort (from PartialElementaryConditionalHeatPortWithoutT)Optional port to which dissipated losses are transported in form of heat

Components

TypeNameDefaultDescription
SI.Anglephi (from FlangeSupport)Angle between shaft and support
SI.Torquetau (from FlangeSupport)Torque
SI.AngularVelocityw (from FlangeSupport)Relative angular velocity of flange and support
SI.PowerlossPower (from PartialElementaryConditionalHeatPortWithoutT)Loss power leaving component via heatPort (> 0, if heat is flowing out of component)