modelEddyCurrent

Constant loss model under sinusoidal magnetic conditions

Extends from Interfaces.TwoPort (Elementary partial two port for textual programming), Modelica.Thermal.HeatTransfer.Interfaces.PartialElementaryConditionalHeatPort (Partial model to include a conditional HeatPort in order to dissipate losses, used for textual modeling, i.e., for elementary models).

Information

The eddy current loss model with respect to fundamental wave effects is designed in accordance to FluxTubes.Basic.EddyCurrent and FundamentalWave.Components.EddyCurrent.

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Fig. 1: equivalent models of eddy current losses

Due to the nature of eddy current losses, which can be represented by symmetric conductors in an equivalent electric circuit (Fig. 1), the respective number of phases has to be taken into account. Assume that the conductances of the equivalent circuit are , the conductance for the eddy current loss model is determined by

  

where is the number of turns of the symmetric electromagnetic coupling.

For such an phase system the relationship between the voltage and current space phasors and the magnetic flux and magnetic potential difference phasor is

  ,
  ,

where and are the phase voltages and currents, respectively.

The dissipated loss power

  

can be determined for the space phasor relationship of the voltage and current space phasor.

See also

FluxTubes.Basic.EddyCurrent

Parameters

TypeNameDefaultDescription
ComplexjComplex(0, 1)
SI.ConductanceGEquivalent symmetric loss conductance
BooleanuseHeatPort (from PartialElementaryConditionalHeatPort)false= true, if heatPort is enabled
SI.TemperatureT (from PartialElementaryConditionalHeatPort)293.15Fixed device temperature if useHeatPort = false

Connectors

TypeNameDefaultDescription
FundamentalWave.Interfaces.PositiveMagneticPortport_p (from TwoPortElementary)Positive quasi-static magnetic port of fundamental wave machines
FundamentalWave.Interfaces.NegativeMagneticPortport_n (from TwoPortElementary)Negative quasi-static magnetic port of fundamental wave machines
HeatTransfer.Interfaces.HeatPort_aheatPort (from PartialElementaryConditionalHeatPort)Optional port to which dissipated losses are transported in form of heat

Components

TypeNameDefaultDescription
SI.AngularVelocityomega (from TwoPortElementary)der(port_p.reference.gamma)Reference angular velocity (= der(port_p.reference.gamma))
SI.ComplexMagneticPotentialDifferenceV_m (from TwoPortExtended)port_p.V_m - port_n.V_mComplex magnetic potential difference
SI.MagneticPotentialDifferenceabs_V_m (from TwoPortExtended)Modelica.ComplexMath.abs(V_m)Magnitude of complex magnetic potential difference
SI.Anglearg_V_m (from TwoPortExtended)Modelica.ComplexMath.arg(V_m)Argument of complex magnetic potential difference
SI.ComplexMagneticFluxPhi (from TwoPortExtended)port_p.PhiComplex magnetic flux
SI.MagneticFluxabs_Phi (from TwoPortExtended)Modelica.ComplexMath.abs(Phi)Magnitude of complex magnetic flux
SI.Anglearg_Phi (from TwoPortExtended)Modelica.ComplexMath.arg(Phi)Argument of complex magnetic flux
SI.PowerlossPower (from PartialElementaryConditionalHeatPort)Loss power leaving component via heatPort (> 0, if heat is flowing out of component)
SI.TemperatureTheatPort (from PartialElementaryConditionalHeatPort)Temperature of heatPort