modelTransformer3PhaseYyWithHysteresis

Three-phase transformer in Yy configuration

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 three-phase transformer with primary and a secondary windings and a magnetic E-I shaped core. The core is modeled with GenericHystTellinenEverett flux tube elements. Thus, this model considers static and dynamic hysteresis as well as initial flux.

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()Core Material
Core › Initialization
Real[3]MagRelStart{0, 0, 0}Initial magnetization of Core (-1..1)
Boolean[3]MagRelFixed{false, false, false}Fixed
SI.MagneticFieldStrength[3]HStart{0, 0, 0}Initial magnetic field strength of Core
Boolean[3]HFixed{false, false, false}Fixed
SI.ElectricCurrent[3]I1Start{0, 0, 0}Initial current of primary Windings
Boolean[3]I1Fixed{false, false, false}Fixed
SI.ElectricCurrent[3]I2Start{0, 0, 0}Initial current of secondary Windings
Boolean[3]I2Fixed{false, false, false}Fixed
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-3Cross section of leakage of secondary Winding
SI.AreaA_l210e-6Length of leakage of secondary Winding
Realmu_rel21Constant relative permeability of secondary leakage (>0 required)

Connectors

TypeNameDefaultDescription
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_aheatPort (from ConditionalHeatPort)
Modelica.Electrical.Analog.Interfaces.PositivePinp1Primary winding 1
Modelica.Electrical.Analog.Interfaces.PositivePinp2Primary winding 2
Modelica.Electrical.Analog.Interfaces.PositivePinp3Primary winding 3
Modelica.Electrical.Analog.Interfaces.NegativePinn1Secondary winding 1
Modelica.Electrical.Analog.Interfaces.NegativePinn2Secondary winding 2
Modelica.Electrical.Analog.Interfaces.NegativePinn3Secondary winding 3
Modelica.Electrical.Analog.Interfaces.NegativePinstarPoint2Star point of secondary windings
Modelica.Electrical.Analog.Interfaces.NegativePinstarPoint1Star point of primary windings

Components

TypeNameDefaultDescription
Modelica.Thermal.HeatTransfer.Sources.PrescribedTemperatureTemp
SI.Voltage[3]v1Voltage drop of primary winding 1-3
SI.Voltage[3]v2Voltage drop of secondary winding 1-3
SI.Resistance[3]R1Resistance of primary winding 1-3
SI.Resistance[3]R2Resistance of secondary winding 1-3
SI.Current[3]i1Current in primary winding 1-3
SI.Current[3]i2Current in secondary winding 1-3
SI.MagneticFluxDensity[3]BMagnetic Flux Density in core portions 1-3
SI.MagneticFlux[3]PhiMagnetic Flux through core portions 1-3
SI.MagneticFieldStrength[3]HstatFerromagnetic portion of magnetic field strength
SI.MagneticFieldStrength[3]HeddyEddy current portion of magnetic field strength
SI.MagneticFieldStrength[3]HTotal 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.GenericHystTellinenEverettcore1
Shapes.HysteresisAndMagnets.GenericHystTellinenEverettcore2
Shapes.HysteresisAndMagnets.GenericHystTellinenEverettcore3
Basic.Groundground
Basic.ElectroMagneticConverterWithLeakageInductancewinding11
Basic.ElectroMagneticConverterWithLeakageInductancewinding12
Basic.ElectroMagneticConverterWithLeakageInductancewinding13
Basic.ElectroMagneticConverterWithLeakageInductancewinding21
Basic.ElectroMagneticConverterWithLeakageInductancewinding22
Basic.ElectroMagneticConverterWithLeakageInductancewinding23
Modelica.Electrical.Analog.Basic.Resistorresistor11
Modelica.Electrical.Analog.Basic.Resistorresistor21
Modelica.Electrical.Analog.Basic.Resistorresistor12
Modelica.Electrical.Analog.Basic.Resistorresistor22
Modelica.Electrical.Analog.Basic.Resistorresistor23
Modelica.Electrical.Analog.Basic.Resistorresistor13
Shapes.FixedShape.Cuboidleakage