modelTransformer1PhaseWithHysteresis

Single-phase transformer with ferromagnetic core and hysteresis

Extends from Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Information

Simple model of a single-phase transformer with a primary and a secondary winding and a magnetic core. The core is modeled with GenericHystTellinenEverett flux tube elements. Thus, this element considers static and dynamic hysteresis.

Fig. 1: Sketch of the modelled transformer with magnetic core, primary and secondary winding

Parameters

TypeNameDefaultDescription
Electrical › Primary winding
IntegerN110Primary turns
SI.LengthL11.2*2*(a + b)Mean primary turn length
SI.Lengthd10.5e-3Wire diameter of primary turns
SI.Resistivityrho11.678e-8Resistivity of primary winding (at 20degC)
SI.LinearTemperatureCoefficientalpha10Temperature coefficient of primary turns
Electrical › Secondary winding
IntegerN210Secondary turns
SI.LengthL2L1Mean secondary turn length
SI.Lengthd2d1Wire diameter of secondary turns
SI.Resistivityrho2rho1Resistivity of secondary winding (at 20degC)
SI.LinearTemperatureCoefficientalpha2alpha1Temperature coefficient of secondary turns
Core › Geometry
SI.Lengthl140e-3Mean Length l1 of core
SI.Lengthl260e-3Mean Length l2 of core
SI.Lengtha15e-3Height of core
SI.Lengthb10e-3Width of core
Core › Material
FluxTubes.Material.HysteresisEverettParameter.BaseDatamatFluxTubes.Material.HysteresisEverettParameter.BaseData()Parameter set of ferromagnetic Hysteresis
Core › Initialization
RealMagRelStart0Initial magnetization of Core (-1..1)
BooleanMagRelFixedfalseFixed
SI.MagneticFieldStrengthHStart0Initial magnetic field strength of Core
BooleanHFixedfalseFixed
SI.ElectricCurrentI1Start0Initial primary current through winding
BooleanI1FixedfalseFixed
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
BooleanEddyCurrentsfalseEnable eddy currents
SI.Conductivitysigmamat.sigmaConductivity of core material
SI.Lengtht0.5e-3Thickness of lamination
Leakage
SI.LengthL_l110e-3Length of leakage of primary Winding
SI.AreaA_l110e-6Cross section of leakage of primary Winding
Realmu_rel11Constant relative permeability of primary leakage (>0 required)
SI.LengthL_l210e-3Length of leakage of secondary Winding
SI.AreaA_l210e-6Cross section of leakage of secondary Winding
Realmu_rel21Constant relative permeability of secondary leakage (>0 required)

Connectors

TypeNameDefaultDescription
Modelica.Electrical.Analog.Interfaces.NegativePinn1Negative pin of primary winding
Modelica.Electrical.Analog.Interfaces.PositivePinp1Positive pin of primary winding
Modelica.Electrical.Analog.Interfaces.NegativePinn2Negative pin of secondary winding
Modelica.Electrical.Analog.Interfaces.PositivePinp2Positive pin of secondary winding
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_aheatPort (from ConditionalHeatPort)

Components

TypeNameDefaultDescription
Modelica.Thermal.HeatTransfer.Sources.PrescribedTemperaturetempSource
SI.Voltagev1Primary voltage drop
SI.Voltagev2Secondary voltage drop
SI.ResistanceR1Primary resistance of Winding
SI.ResistanceR2Secondary resistance of Winding
SI.Currenti1Primary current
SI.Currenti2Secondary current
SI.MagneticFluxDensityBMagnetic Flux Density of Core
SI.MagneticFieldStrengthHstatFerromagnetic portion of magnetic field strength
SI.MagneticFieldStrengthHeddyEddy current portion of magnetic field strength
SI.MagneticFieldStrengthHTotal magnetic field strength of core
SI.PowerLossPowerWindingWinding losses
SI.PowerLossPowerStatFerromagnetic hysteresis losses
SI.PowerLossPowerEddyEddy current losses
SI.PowerLossPower (from ConditionalHeatPort)Loss power leaving component via HeatPort
SI.TemperatureT_heatPort (from ConditionalHeatPort)Temperature of HeatPort
Shapes.HysteresisAndMagnets.GenericHystTellinenEverettcore