WOLFRAM SYSTEMMODELER

PartialGenericHysteresisTellinen

Partial Tellinen hysteresis model

Wolfram Language

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SystemModel["Modelica.Magnetic.FluxTubes.Interfaces.PartialGenericHysteresisTellinen"]
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Information

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

A reluctance with the Tellinen hysteresis model. The major hysteresis loop is defined by the hyperbolic tangent function.

The Tellinen Hysteresis Model

The Tellinen hysteresis model is a simple model to describe the magnetic hysteresis behavior of ferromagnetic materials. It only uses the rising (hystR) and falling (hystF) branch of the major hysteresis loop and their derivatives der(hystR) and der(hystF). See Fig. 1 and the following equations for a short description of the Tellinen hysteresis model.

diffHyst = hystF - hystR;
dhR = hystF - b;
dhF = b - hystR;

if the magnetic field intensity increases (der(h)>0)

der(b) = dhR/diffHyst * der(hystR);

if the magnetic field intensity decreases (der(h)<0)

der(b) = dhF/diffHyst * der(hystF);

Fig. 1: Description of the Tellinen hysteresis model.

Parameters (8)

l

Value: 0.1

Type: Length (m)

Description: Length in direction of flux

A

Value: 1e-4

Type: Area (m²)

Description: Area of cross section

V

Value: A * l

Type: Volume (m³)

Description: Volume of FluxTube

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

includeEddyCurrents

Value: false

Type: Boolean

Description: =true, if eddy current losses are enabled

sigma

Value: 10e6

Type: Conductivity (S/m)

Description: Conductivity of core material

d

Value: 0.5e-3

Type: Length (m)

Description: Thickness of lamination

Outputs (8)

H

Type: MagneticFieldStrength (A/m)

Description: Magnetic field strength

Hstat

Type: MagneticFieldStrength (A/m)

Description: Static (ferromagnetic) portion of the magnetic field strength

Heddy

Type: MagneticFieldStrength (A/m)

Description: Dynamic (eddy currents) portion of the magnetic field strength

B

Type: MagneticFluxDensity (T)

Description: Magnetic flux density

MagRel

Type: Real

Description: Relative magnetization at initialization (-1..1)

LossPowerStat

Type: Power (W)

Description: Ferromagnetic (static) hysteresis losses

LossPowerEddy

Type: Power (W)

Description: Eddy current losses (dynamic hysteresis losses)

asc

Type: Boolean

Description: True when der(Hstat)>0

Connectors (3)

port_p

Type: PositiveMagneticPort

Description: Positive magnetic port

port_n

Type: NegativeMagneticPort

Description: Negative magnetic port

heatPort

Type: HeatPort_a

Extended by (5)

GenericHystTellinenPermanentMagnet

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets

Permanent magnet based on the Tellinen hysteresis model

GenericHystTellinenTable

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets

Generic flux tube with ferromagnetic hysteresis based on the Tellinen model and table data

GenericHystTellinenEverett

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets

Generic flux tube with ferromagnetic hysteresis based on the Tellinen model and the Everett function [Ya89])

GenericHystTellinenHard

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets

Generic flux tube with hard magnetic hysteresis based on the Tellinen model and simple tanh()-functions

GenericHystTellinenSoft

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets

Generic flux tube with soft magnetic hysteresis based on the Tellinen model and simple tanh()-functions