Coax Cylinders End Faces - MapleSim Help

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Coax Cylinders End Faces

Leakage flux between the end planes of a inner solid cylinder and a coaxial outer hollow cylinder

Modelica Standard Library

	Description
	The Coax Cylinders End Faces component models the leakage flux between the end-planes of a solid inner cylinder and a coaxial outer hollow cylinder.

	Equations
	$G_{m} = 2 μ_{0} (r_{0} + \frac{1}{2} l_{g}) {\begin{array}{c} \log (1 + 2 \frac{t}{l_{g}}) & t \leq r_{0} \\ \log (1 + 2 \frac{r_{0}}{l_{g}}) & otherwise \end{array}$ $R_{m} = \frac{1}{G_{m}}$ $Φ = Φ_{p} = - Φ_{n}$ $V_{m} = V_{m_{p}} - V_{m_{n}} = R_{m} Φ$

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
$R_{m}$	$H^{−1}$	Magnetic reluctance	R_m
$G_{m}$	$H$	Magnetic permeance	G_m

Connections

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

Parameters

General Parameters

Name	Default	Units	Description	Modelica ID
$r_{0}$	$0.01$	$m$	Radius of inner solid cylinder	r_0
$r_{1}$	$0.017$	$m$	Inner radius of outer hollow cylinder	r_1
$r_{2}$	$0.02$	$m$	Outer radius of outer hollow cylinder	r_2

Constant Parameters

Name	Default	Units	Description	Modelica ID
$l_{g}$	$r_{1} - r_{0}$	$m$	Radial gap length between both cylinders	l_g
$t$	$r_{2} - r_{1}$	$m$	Radial thickness of outer hollow cylinder	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

Magnetic Leakage

Magnetic Library

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