WOLFRAM SYSTEMMODELER

Transformer1PhaseWithHysteresis

Single Phase transformer with ferromagnetic core and hysteresis

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Magnetic.FluxTubes.Examples.Hysteresis.Components.Transformer1PhaseWithHysteresis"]
Out[1]:=

Information

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

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 (32)

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: Parameter set of ferromagnetic Hysteresis

MagRelStart

Value: 0

Type: Real

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

MagRelFixed

Value: false

Type: Boolean

Description: Fixed

HStart

Value: 0

Type: MagneticFieldStrength (A/m)

Description: Initial magnetic field strength of Core

HFixed

Value: false

Type: Boolean

Description: Fixed

I1Start

Value: 0

Type: ElectricCurrent (A)

Description: Initial primary current through winding

I1Fixed

Value: false

Type: Boolean

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: Length of leakage of secondary Winding

A_l2

Value: 10e-6

Type: Area (m²)

Description: Cross section of leakage of secondary Winding

mu_rel2

Value: 1

Type: Real

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

Outputs (13)

v1

Type: Voltage (V)

Description: Primary voltage drop

v2

Type: Voltage (V)

Description: secondary voltage drop

R1

Type: Resistance (Ω)

Description: Primary resistance of Winding

R2

Type: Resistance (Ω)

Description: Secondary resistance of Winding

i1

Type: Current (A)

Description: Primary current

i2

Type: Current (A)

Description: Secondary current

B

Type: MagneticFluxDensity (T)

Description: Magnetic Flux Density of Core

Hstat

Type: MagneticFieldStrength (A/m)

Description: Ferromagnetic portion of magnetic field strength

Heddy

Type: MagneticFieldStrength (A/m)

Description: Eddy current portion of magnetic field strength

H

Type: MagneticFieldStrength (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 (5)

heatPort

Type: HeatPort_a

n1

Type: NegativePin

Description: Negative pin of primary winding

p1

Type: PositivePin

Description: Positive pin of primary winding

n2

Type: NegativePin

Description: Negative pin of secondary winding

p2

Type: PositivePin

Description: Positive pin of secondary winding

Components (8)

tempSource

Type: PrescribedTemperature

mat

Type: BaseData

Description: Parameter set of ferromagnetic Hysteresis

ground

Type: Ground

winding1

Type: ElectroMagneticConverterWithLeakageInductance

winding2

Type: ElectroMagneticConverterWithLeakageInductance

resistor1

Type: Resistor

resistor2

Type: Resistor

core

Type: GenericHystTellinenEverett

Used in Examples (1)

SinglePhaseTransformerWithHysteresis2

Modelica.Magnetic.FluxTubes.Examples.Hysteresis