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Eddy Current

Eddy current in a conductive magnetic flux tube

Modelica Standard Library

	Description
	The Eddy Current component models an eddy current in an electrically conductive magnetic tube. The changing magnetic flux induces eddy currents in the material, which generate a magnetic voltage across the component. The magnetic voltage depends on the geometry and the electrical resistivity. The default resistivity is that of iron at 20C.

	Equations
	$Φ = Φ_{p} = - Φ_{n}$ $V_{m} = V_{m_{p}} - V_{m_{n}} = \frac{1}{R} \overset{&period;}{Φ}$ $LossPower = V_{m} \overset{&period;}{Φ}$

Variables

Name	Units	Description	Modelica ID
$V_{m}$	$A$	Magnetic potential difference between both ports	V_m
$Φ$	$Wb$	Magnetic flux from port_p to port_n	Phi
$LossPower$	$W$	Loss power leaving component via HeatPort	LossPower
$T_{heatPort}$	$K$	Temperature of HeatPort	T_heatPort

Connections

Name	Description	Modelica ID
${port}_{p}$	Positive magnetic port	port_p
${port}_{n}$	Negative magnetic port	port_n
$heatPort$	Optional heat port	heatPort

Parameters

General Parameters

Name	Default	Units	Description	Modelica ID
$A$	$1$	$m^{2}$	Cross sectional area of eddy current path	A
$l$	$1$	$m$	Average length of eddy current path	l
$ρ$	$9.8 \cdot 10^{−8}$	$Ω m$	Resistivity of flux tube material (default: Iron at 20degC)	rho
Use Heat Port	$false$		True (checked) means heat port is enabled	useHeatPort

Constant Parameters

Name	Default	Units	Description	Modelica ID
$R$	$\frac{ρ l}{A}$	$Ω$	Electrical resistance of eddy current path	R
$T$	$273.15$	$K$	Fixed device temperature if Use Heat Port is false	T

	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

Basic Magnetic Components

Magnetic Library

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