Cuboid Parallel Flux - MapleSim Help

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Cuboid Parallel Flux

Cuboid with flux in direction of motion, e.g., air gap with rectangular cross-section; constant permeability

Modelica Standard Library

	Description
	The Cuboid Parallel Flux Reluctance Force (or Cuboid Parallel Flux) component models the generation of a reluctance force in an air-gap with a rectangular cross-section. The movement of the flange corresponds to the length of the air-gap.

	Equations
	$B = \frac{Φ}{A}$ $F_{m} = \frac{1}{2} V_{m}^{2} \frac{{dG}_{m}}{dx}$ $G_{m} = μ_{0} μ_{r} \frac{A}{ℓ}$ $R_{m} = \frac{1}{G_{m}}$ $Φ = Φ_{p} = - Φ_{n}$ $V_{m} = V_{m_{p}} - V_{m_{n}} = R_{m} Φ$ $\frac{{dG}_{m}}{dx} = - μ_{0} μ_{r} \frac{A}{ℓ^{2}} \frac{d ℓ}{dx}$ $f_{flange} = - F_{m}$

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
$F_{m}$	$N$	Reluctance force	F_m
$s$	$m$	Distance between flange and support	s
$R_{m}$	$H^{−1}$	Magnetic reluctance	R_m
$G_{m}$	$H$	Magnetic permeance	G_m
$\frac{{dG}_{m}}{dx}$	$\frac{H}{m}$	Derivative of permeance with respect to armature position	dGmBydx
$ℓ$	$m$	Axial length (in direction of flux)	l
$B$	$T$	Homogeneous flux density	B

Connections

Name	Description	Modelica ID
${port}_{p}$	Positive magnetic port	port_p
${port}_{n}$	Negative magnetic port	port_n
$flange$	Generated reluctance force at armature position	flange
$support$	Conditional Support Flange	support

Parameters

Name	Default	Units	Description	Modelica ID
$μ_{r}$	$1$	$1$	Relative magnetic permeability	mu_r
$\frac{d ℓ}{dx}$	$1$	$1$	Derivative of flux tube's varying dimension with respect to armature position; set to +1 or -1	dl/dx
$a$	$0.01$	$m$	Width of rectangular cross-section	a
$b$	$0.01$	$m$	Height of rectangular cross-section	b
Use Support	$false$		True (checked) enables the support flange	useSupport

	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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