WOLFRAM SYSTEMMODELER

Transformer3PhaseYyWithHysteresis

Three phase transformer in Yy configuration

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Magnetic.FluxTubes.Examples.Hysteresis.Components.Transformer3PhaseYyWithHysteresis"]
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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

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 (34)

useHeatPort

Value: false

Type: Boolean

Description: =true, if HeatPort is enabled

T

Value: 293.15

Type: Temperature (K)

Description: Fixed device temperature if useHeatPort = false

N1

Value: 10

Type: Integer

Description: Primary turns

L1

Value: 1.2 * 2 * (a + b)

Type: Length (m)

Description: Mean primary turn length

d1

Value: 0.5e-3

Type: Length (m)

Description: Wire diameter of primary turns

rho1

Value: 1.678e-8

Type: Resistivity (Ω·m)

Description: Resistivity of primary winding (at 20degC)

alpha1

Value: 0

Type: LinearTemperatureCoefficient (¹/K)

Description: Temperature coefficient of primary turns

N2

Value: 10

Type: Integer

Description: Secondary turns

L2

Value: L1

Type: Length (m)

Description: Mean secondary turn length

d2

Value: d1

Type: Length (m)

Description: Wire diameter of secondary turns

rho2

Value: rho1

Type: Resistivity (Ω·m)

Description: Resistivity of secondary winding (at 20degC)

alpha2

Value: alpha1

Type: LinearTemperatureCoefficient (¹/K)

Description: Temperature coefficient of secondary turns

l1

Value: 40e-3

Type: Length (m)

Description: Mean length l1 of core

l2

Value: 60e-3

Type: Length (m)

Description: Mean length l2 of core

a

Value: 15e-3

Type: Length (m)

Description: Height of core

b

Value: 10e-3

Type: Length (m)

Description: Width of core

mat

Value: FluxTubes.Material.HysteresisEverettParameter.BaseData()

Type: BaseData

Description: Core Material

MagRelStart

Value: {0, 0, 0}

Type: Real[3]

Description: Initial magnetization of Core (-1..1)

MagRelFixed

Value: {false, false, false}

Type: Boolean[3]

Description: Fixed

HStart

Value: {0, 0, 0}

Type: MagneticFieldStrength[3] (A/m)

Description: Initial magnetic field strength of Core

HFixed

Value: {false, false, false}

Type: Boolean[3]

Description: Fixed

I1Start

Value: {0, 0, 0}

Type: ElectricCurrent[3] (A)

Description: Initial current of primary Windings

I1Fixed

Value: {false, false, false}

Type: Boolean[3]

Description: Fixed

I2Start

Value: {0, 0, 0}

Type: ElectricCurrent[3] (A)

Description: Initial current of secondary Windings

I2Fixed

Value: {false, false, false}

Type: Boolean[3]

Description: Fixed

EddyCurrents

Value: false

Type: Boolean

Description: Enable eddy currents

sigma

Value: mat.sigma

Type: Conductivity (S/m)

Description: Conductivity of core material

t

Value: 0.5e-3

Type: Length (m)

Description: Thickness of lamination

L_l1

Value: 10e-3

Type: Length (m)

Description: Length of leakage of primary Winding

A_l1

Value: 10e-6

Type: Area (m²)

Description: Cross section of leakage of primary Winding

mu_rel1

Value: 1

Type: Real

Description: Constant relative permeability of primary leakage (>0 required)

L_l2

Value: 10e-3

Type: Length (m)

Description: Cross section of leakage of secondary Winding

A_l2

Value: 10e-6

Type: Area (m²)

Description: Length of leakage of secondary Winding

mu_rel2

Value: 1

Type: Real

Description: Constant relative permeability of secondary leakage (>0 required)

Outputs (14)

v1

Type: Voltage[3] (V)

Description: Voltage drop of primary winding 1-3

v2

Type: Voltage[3] (V)

Description: Voltage drop of secondary winding 1-3

R1

Type: Resistance[3] (Ω)

Description: Resistance of primary winding 1-3

R2

Type: Resistance[3] (Ω)

Description: Resistance of secondary winding 1-3

i1

Type: Current[3] (A)

Description: Current in primary winding 1-3

i2

Type: Current[3] (A)

Description: Current in secondary winding 1-3

B

Type: MagneticFluxDensity[3] (T)

Description: Magnetic Flux Density in core portions 1-3

Phi

Type: MagneticFlux[3] (Wb)

Description: Magnetic Flux through core portions 1-3

Hstat

Type: MagneticFieldStrength[3] (A/m)

Description: Ferromagnetic portion of magnetic field strength

Heddy

Type: MagneticFieldStrength[3] (A/m)

Description: Eddy current portion of magnetic field strength

H

Type: MagneticFieldStrength[3] (A/m)

Description: Total magnetic field strength of core

LossPowerWinding

Type: Power (W)

Description: Winding losses

LossPowerStat

Type: Power (W)

Description: Ferromagnetic hysteresis losses

LossPowerEddy

Type: Power (W)

Description: Eddy current losses

Connectors (9)

heatPort

Type: HeatPort_a

p1

Type: PositivePin

Description: Primary winding 1

p2

Type: PositivePin

Description: Primary winding 2

p3

Type: PositivePin

Description: Primary winding 3

n1

Type: NegativePin

Description: Secondary winding 1

n2

Type: NegativePin

Description: Secondary winding 2

n3

Type: NegativePin

Description: Secondary winding 3

starPoint2

Type: NegativePin

Description: Star point of secondary windings

starPoint1

Type: NegativePin

Description: Star point of primary windings

Components (19)

Temp

Type: PrescribedTemperature

mat

Type: BaseData

Description: Core Material

core1

Type: GenericHystTellinenEverett

core2

Type: GenericHystTellinenEverett

core3

Type: GenericHystTellinenEverett

ground

Type: Ground

winding11

Type: ElectroMagneticConverterWithLeakageInductance

winding12

Type: ElectroMagneticConverterWithLeakageInductance

winding13

Type: ElectroMagneticConverterWithLeakageInductance

winding21

Type: ElectroMagneticConverterWithLeakageInductance

winding22

Type: ElectroMagneticConverterWithLeakageInductance

winding23

Type: ElectroMagneticConverterWithLeakageInductance

resistor11

Type: Resistor

resistor21

Type: Resistor

resistor12

Type: Resistor

resistor22

Type: Resistor

resistor23

Type: Resistor

resistor13

Type: Resistor

leakage

Type: Cuboid

Used in Examples (1)

ThreePhaseTransformerWithRectifier

Modelica.Magnetic.FluxTubes.Examples.Hysteresis

3 Phase transformer (including hysteresis effect) with rectifier