WOLFRAM SYSTEMMODELER

Transformer3PhaseYyWithHysteresis

Three phase transfomer in Yy configuration

Diagram

Wolfram Language

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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

Connectors (9)

heatPort

Type: HeatPort_a

Description:

p_A

Type: PositivePin

Description: Positive Pin of primary Winding

p_B

Type: PositivePin

Description: Positive Pin of primary Winding

p_C

Type: PositivePin

Description: Positive Pin of primary Winding

p_a

Type: PositivePin

Description: Positive Pin of primary Winding

p_b

Type: PositivePin

Description: Positive Pin of primary Winding

p_c

Type: PositivePin

Description: Positive Pin of primary Winding

pn

Type: NegativePin

Description: Star point of secondary windings

pN

Type: NegativePin

Description: Star point of primary windings

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

N_p

Value: 10

Type: Integer

Description: Primary turns

l_p

Value: 1.2 * 2 * (a + b)

Type: Length (m)

Description: Mean primary turn length

d_p

Value: 0.5e-3

Type: Length (m)

Description: Wire diameter of primary turns

rho_p

Value: 1.678e-8

Type: Resistivity (Ω·m)

Description: Resistivity of primary winding (at 20degC)

alpha_p

Value: 0

Type: LinearTemperatureCoefficient (¹/K)

Description: Temperature coefficient of primary turns

N_s

Value: 10

Type: Integer

Description: Secondary turns

l_s

Value: l_p

Type: Length (m)

Description: Mean secondary turn length

d_s

Value: d_p

Type: Length (m)

Description: Wire diameter of secondary turns

rho_s

Value: rho_p

Type: Resistivity (Ω·m)

Description: Resistivity of secondary winding (at 20degC)

alpha_s

Value: alpha_p

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

IprimStart

Value: {0, 0, 0}

Type: ElectricCurrent[3] (A)

Description: Initial current of primary Windings

IprimFixed

Value: {false, false, false}

Type: Boolean[3]

Description: Fixed

IsecStart

Value: {0, 0, 0}

Type: ElectricCurrent[3] (A)

Description: Initial current of secondary Windings

IsecFixed

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: Tickness of lamination

L_lp

Value: 10e-3

Type: Length (m)

Description: Length of leakage of primary Winding

A_lp

Value: 10e-6

Type: Area (m²)

Description: Cross section of leakage of primary Winding

mu_relp

Value: 1

Type: Real

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

L_ls

Value: 10e-3

Type: Length (m)

Description: Cross section of leakage of secondary Winding

A_ls

Value: 10e-6

Type: Area (m²)

Description: Length of leakage of secondary Winding

mu_rels

Value: 1

Type: Real

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

Components (19)

Temp

Type: PrescribedTemperature

Description:

mat

Type: BaseData

Description: Core Material

CoreA

Type: GenericHystTellinenEverett

Description:

CoreB

Type: GenericHystTellinenEverett

Description:

CoreC

Type: GenericHystTellinenEverett

Description:

ground

Type: Ground

Description:

WA

Type: ElectroMagneticConverterWithLeakageInductance

Description:

WB

Type: ElectroMagneticConverterWithLeakageInductance

Description:

WC

Type: ElectroMagneticConverterWithLeakageInductance

Description:

Wa

Type: ElectroMagneticConverterWithLeakageInductance

Description:

Wb

Type: ElectroMagneticConverterWithLeakageInductance

Description:

Wc

Type: ElectroMagneticConverterWithLeakageInductance

Description:

RA

Type: Resistor

Description:

Ra

Type: Resistor

Description:

RB

Type: Resistor

Description:

Rb

Type: Resistor

Description:

Rc

Type: Resistor

Description:

RC

Type: Resistor

Description:

Leakage

Type: Cuboid

Description:

Used in Examples (1)

ThreePhaseTransformerWithRectifier

3 Phase transformer (including hysteresis effect) with rectifier