Hollow Cylinder Circumferential Flux - MapleSim Help

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Home : Support : Online Help : MapleSim : MapleSim Component Library : Magnetic : QuasiStatic : Flux Tubes : Shapes : Fixed Shape : Hollow Cylinder Circumferential Flux

Hollow Cylinder Circumferential Flux

Maplesoft.Magnetic.QuasiStatic.FluxTubes.Shapes.FixedShape.HollowCylinderCircumferentialFlux

Modelica Standard Library

	Description
	The Hollow Cylinder Circumferential Flux component models a flux tube consisting of a hollow cylinder with circumferential flux flow.

	Equations
	$A = π (- r_{i}^{2} + r_{o}^{2})$ $B = \frac{Φ}{A}$ $G_{m} = μ_{0} μ_{r} \frac{A}{ℓ}$ $H = \frac{B}{μ_{0} μ_{r}}$ $R_{m} = \frac{1}{G_{m}}$ $Φ = Φ_{p} = - Φ_{n}$ $V_{m} = V_{m_{p}} - V_{m_{n}} = R_{m} Φ$ $μ_{r} = μ_{r, const}$

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
$ℓ$	$0.01$	$m$	Axial length (in direction of flux)	l
$r_{i}$	$0$	$m$	Inner radius of hollow cylinder (zero for cylinder)	r_i
$r_{o}$	$0.01$	$m$	Outer radius of (hollow) cylinder	r_o
$α$	$\frac{π}{2}$	$rad$	Angle of cylinder section	angle
$μ_{r, const}$	$1$	$1$	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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