modelGenericHysteresisTellinen

Partial Tellinen hysteresis model

Extends from BaseClasses.GenericHysteresis (Partial hysteresis model).

Information

A reluctance with the Tellinen hysteresis model. The major hysteresis loop is defined by the hyperbolic tangent function.

The Tellinen Hysteresis Model

The Tellinen hysteresis model is a simple model to describe the magnetic hysteresis behavior of ferromagnetic materials. It only uses the rising (hystR) and falling (hystF) branch of the major hysteresis loop and their derivatives der(hystR) and der(hystF). See Fig. 1 and the following equations for a short description of the Tellinen hysteresis model.

diffHyst = hystF - hystR;
dhR = hystF - b;
dhF = b - hystR;

if the magnetic field intensity increases (der(h)>0)

der(b) = dhR/diffHyst * der(hystR);

if the magnetic field intensity decreases (der(h)<0)

der(b) = dhF/diffHyst * der(hystF);
Fig. 1: Description of the Tellinen hysteresis model.

Parameters

TypeNameDefaultDescription
SI.VolumeV (from Generic)A*lVolume of FluxTube
Fixed geometry
SI.Lengthl (from Generic)0.1Length in direction of flux
SI.AreaA (from Generic)1e-4Area of cross section
Losses and heat › HeatPort
BooleanuseHeatPort (from ConditionalHeatPort)false= true, if HeatPort is enabled
SI.TemperatureT (from ConditionalHeatPort)293.15Fixed device temperature if useHeatPort = false
Losses and heat › Eddy currents
BooleanincludeEddyCurrents (from GenericHysteresis)false= true, if eddy current losses are enabled
SI.Conductivitysigma (from GenericHysteresis)10e6Conductivity of core material
SI.Lengthd (from GenericHysteresis)0.5e-3Thickness of lamination

Connectors

TypeNameDefaultDescription
FluxTubes.Interfaces.PositiveMagneticPortport_p (from TwoPortElementary)Positive magnetic port
FluxTubes.Interfaces.NegativeMagneticPortport_n (from TwoPortElementary)Negative magnetic port
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_aheatPort (from ConditionalHeatPort)

Components

TypeNameDefaultDescription
SI.MagneticPotentialDifferenceV_m (from TwoPortExtended)Magnetic potential difference of ports
SI.MagneticFluxPhi (from TwoPortExtended)Magnetic flux from port_p to port_n
SI.PowerLossPower (from ConditionalHeatPort)Loss power leaving component via HeatPort
SI.TemperatureT_heatPort (from ConditionalHeatPort)Temperature of HeatPort
SI.MagneticFieldStrengthH (from GenericHysteresis)Magnetic field strength
SI.MagneticFieldStrengthHstat (from GenericHysteresis)Static (ferromagnetic) portion of the magnetic field strength
SI.MagneticFieldStrengthHeddy (from GenericHysteresis)Dynamic (eddy currents) portion of the magnetic field strength
SI.MagneticFluxDensityB (from GenericHysteresis)Magnetic flux density
RealMagRel (from GenericHysteresis)Relative magnetization at initialization (-1..1)
SI.PowerLossPowerStat (from GenericHysteresis)Ferromagnetic (static) hysteresis losses
SI.PowerLossPowerEddy (from GenericHysteresis)Eddy current losses (dynamic hysteresis losses)
RealderHstat (from GenericHysteresis)der(Hstat)
BooleanascTrue when der(Hstat)>0