Coax Cylinders End Faces - MapleSim Help

Coax Cylinders End Faces

Maplesoft.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.CoaxCylindersEndFaces

 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 ${G}_{m}=2{\mathrm{\mu }}_{0}\left({r}_{0}+\frac{1}{2}{l}_{g}\right)\left\{\begin{array}{cc}\mathrm{log}\left(1+2\frac{t}{{l}_{g}}\right)& t\le {r}_{0}\\ \mathrm{log}\left(1+2\frac{{r}_{0}}{{l}_{g}}\right)& \mathrm{otherwise}\end{array}$ ${R}_{m}=\frac{1}{{G}_{m}}$ $\mathrm{\Phi }={\mathrm{\Phi }}_{p}=-{\mathrm{\Phi }}_{n}$ ${V}_{m}={V}_{{m}_{p}}-{V}_{{m}_{n}}={R}_{m}\mathrm{\Phi }$

Variables

 Name Units Description Modelica ID ${V}_{m}$ $A$ Magnetic potential difference between both ports V_m $\mathrm{\Phi }$ $\mathrm{Wb}$ 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 ${\mathrm{port}}_{p}$ Positive magnetic port port_p ${\mathrm{port}}_{n}$ 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.