WOLFRAM SYSTEM MODELER

# PartialGenericHysteresisTellinen

Partial Tellinen hysteresis model # Wolfram Language

In:= `SystemModel["Modelica.Magnetic.FluxTubes.Interfaces.PartialGenericHysteresisTellinen"]`
Out:= # 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 Value: 1e-4 Type: Area (m²) Description: Area of cross section Value: A * l Type: Volume (m³) Description: Volume of FluxTube Value: false Type: Boolean Description: =true, if HeatPort is enabled Value: 293.15 Type: Temperature (K) Description: Fixed device temperature if useHeatPort = false Value: false Type: Boolean Description: =true, if eddy current losses are enabled Value: 10e6 Type: Conductivity (S/m) Description: Conductivity of core material Value: 0.5e-3 Type: Length (m) Description: Thickness of lamination

# Outputs (8)

H Type: MagneticFieldStrength (A/m) Description: Magnetic field strength Type: MagneticFieldStrength (A/m) Description: Static (ferromagnetic) portion of the magnetic field strength Type: MagneticFieldStrength (A/m) Description: Dynamic (eddy currents) portion of the magnetic field strength Type: MagneticFluxDensity (T) Description: Magnetic flux density Type: Real Description: Relative magnetization at initialization (-1..1) Type: Power (W) Description: Ferromagnetic (static) hysteresis losses Type: Power (W) Description: Eddy current losses (dynamic hysteresis losses) Type: Boolean Description: True when der(Hstat)>0

# Connectors (3)

port_p port_n Type: PositiveMagneticPort Description: Positive magnetic port Type: NegativeMagneticPort Description: Negative magnetic port 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