WOLFRAM SYSTEM MODELER

# SaturatingInductor

Simple model of an inductor with saturation # Wolfram Language

In:= `SystemModel["Modelica.Electrical.Analog.Basic.SaturatingInductor"]`
Out:= # Information

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

This model approximates the behaviour of an inductor with the influence of saturation, i.e., the value of the inductance depends on the current flowing through the inductor (Fig. 1). The inductance decreases as current increases. Note, that hysteresis is not taken into account.

The approximation of the flux linkage is based on the `atan` function with an additional linear term, as shown in Fig. 2:

```Psi = Linf*i + (Lzer - Linf)*Ipar*atan(i/Ipar)
L = Psi/i = Linf + (Lzer - Linf)*atan(i/Ipar)/(i/Ipar)
```

This approximation is with good performance and easy to adjust to a given characteristic with only four parameters (Tab. 1).

Tab. 1: Characteristic parameters of the saturating inductor model
Variable Description
`Inom`. Nominal current
`Lnom` Nominal inductance at nominal current
`Lzer` Inductance near current = 0; `Lzer` has to be greater than `Lnom`
`Linf` Inductance at large currents; `Linf` has to be less than `Lnom`

The parameter `Ipar` is calculated internally from the relationship:

```Lnom = Linf + (Lzer - Linf)*atan(Inom/Ipar)/(Inom/Ipar)
```  The flux slope in Fig. 2 is equal to `Lzer` for small currents. The limit of the flux slope is `Linf` as the current `i` approaches infinity. The nominal flux is indicated by the product of the nominal inductance `Lnom` and the nominal current `Inom`.

# Parameters (4)

Inom Value: Type: Current (A) Description: Nominal current Value: Type: Inductance (H) Description: Nominal inductance at Nominal current Value: Type: Inductance (H) Description: Inductance near current=0 Value: Type: Inductance (H) Description: Inductance at large currents

# Connectors (2)

p n Type: PositivePin Description: Positive electrical pin Type: NegativePin Description: Negative electrical pin

# Used in Examples (1) ShowSaturatingInductor Modelica.Electrical.Analog.Examples Simple demo to show behaviour of SaturatingInductor component

# Used in Components (1) SaturatingInductor Modelica.Electrical.MultiPhase.Basic Simple model of inductors with saturation

# Revisions

Main Author:
Anton Haumer
Technical Consulting & Electrical Engineering
D-93049 Regensburg
Germany
email: a.haumer@haumer.at
Release Notes:
Jul 23, 2019: Improved by Anton Haumer
May 27, 2004: Implemented by Anton Haumer