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Toroid

Maplesoft.Magnetic.QuasiStatic.FluxTubes.Shapes.FixedShape.Toroid

Modelica Standard Library

	Description
	The Toroid component models a flux tube with with a toroidal shape.

	Equations
	$A = s^{1} \frac{π}{4}$ $G_{m} = μ_{0} μ_{r} \frac{A}{r α}$ $H = \frac{B}{μ_{0} μ_{r}}$ $R_{m} = \frac{1}{G_{m}}$ $Φ = Φ_{p} = - Φ_{n}$ $V_{m} = V_{m_{p}} - V_{m_{n}} = R_{m} Φ$ $μ_{r} = μ_{r, const}$

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
$R_{m}$	$H^{−1}$	Magnetic reluctance	R_m
$G_{m}$	$H$	Magnetic permeance	G_m
$B$	$T$	Magnetic flux density	B
$A$	$m^{2}$	Cross-sectional area penetrated by magnetic flux	A
$H$	$\frac{A}{m}$	Magnetic field strength	H
$μ_{r}$	$1$	Relative magnetic permeability	mu_r

Connections

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

Parameters

Name	Default	Units	Description	Modelica ID
$r$	$0.1$	$m$	Radius of toroid (middle)	r
$d$	$0.01$	$m$	Diameter of cylindrical core	d
$α$	$\frac{π}{2}$	$rad$	Diameter of cylindrical core	alpha
$μ_{r, const}$	$1$	$1$	Constant relative permeability	mu_rConst

	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

Magnetic Library

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