Saturating Inductor - MapleSim Help

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Saturating Inductor

Simple model of an inductor with saturation

Modelica Standard Library

	Description
	This model approximates the behavior of an inductor with the influence of saturation, that is, the value of the inductance depends on the current flowing through the inductor. The inductance decreases as current increases.

	Equations
	$Ψ = L_{act} i$ $i = i_{p} = - i_{n}$ $v = v_{p} - v_{n} = \overset{&period;}{Ψ}$ $(L_{act} - L_{\infty}) \frac{i}{I_{par}} = (L_{0} - L_{\infty}) atan (\frac{i}{I_{par}})$

Variables

Name	Units	Description	Modelica ID
$v$	$V$	Voltage drop across the inductor	v
$v_{x}$	$V$	Voltage at pin $x$ , $x \in \{n, p\}$	x.v
$i$	$A$	Current flowing from pin p to pin n	i
$i_{x}$	$A$	Current into pin $x$ , $x \in \{n, p\}$	x.i
$I_{par}$	$A$	Constant current solved during initialization	Ipar
$L_{act}$	$H$	Actual inductance	Lact
$Ψ$	$Wb$	Magnetic flux	Psi

Connections

Name	Description	Modelica ID
$p$	Positive pin	p
$n$	Negative pin	n

Parameters

Name	Default	Units	Description	Modelica ID
$I_{nom}$	$1$	$A$	Nominal current	Inom
$L_{nom}$	$1$	$H$	Nominal inductance at Nominal current	Lnom
$L_{0}$	$2 L_{nom}$	$H$	Inductance near current=0	Lzer
$L_{\infty}$	$\frac{1}{2} L_{nom}$	$H$	Inductance at large currents	Linf

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

Analog Components

Electrical Library

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