Coax Cylinders End Faces - MapleSim Help

Coax Cylinders End Faces

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

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

Connections

 Name Description Color ${\mathrm{port}}_{p}$ Positive magnetic port Solid orange ${\mathrm{port}}_{n}$ Negative magnetic port Open orange

Variables

 Symbol Units Description Modelica ID ${V}_{m}$ $A$ Magnetic potential across component V_m ${V}_{{m}_{x}}$ $A$ Magnetic potential at port_x.V_m ${\mathrm{Φ}}_{x}$ $\mathrm{Wb}$ Magnetic flux into ${\mathrm{port}}_{x}$, port_x.Phi $\mathrm{Φ}$ $\mathrm{Wb}$ Magnetic flux through component Phi ${R}_{m}$ ${H}^{-1}$ Magnetic reluctance Rm ${G}_{m}$ $H$ Magnetic permeance Gm ${l}_{g}$ $m$ Radial gap length between cylinders l_g $t$ $m$ Radial thickness of outer hollow cylinder t

Parameters

 Symbol 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 ${r}_{2}$ 0.020 $m$ Outer radius of outer hollow cylinder r_2

Initial Conditions

 Symbol Units Description Modelica ID ${V}_{\mathrm{m0}}$ $A$ Magnetic potential across component V_m ${\mathrm{Φ}}_{0}$ $\mathrm{Wb}$ Magnetic flux through component Phi ${R}_{\mathrm{m0}}$ ${H}^{-1}$ Magnetic reluctance Rm ${G}_{\mathrm{m0}}$ $H$ Magnetic permeance Gm