Hollow Cylinder Axial Flux - MapleSim Help

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Hollow Cylinder Axial Flux

(Hollow) cylinder with axial flux; constant permeability

 Description The Hollow Cylinder Axial Flux Reluctance Force (or Hollow Cylinder Axial Flux) component models the generation of a reluctance force from a flux tube consisting of a hollow cylinder with axial flux flow.
 Equations $B=\frac{\mathrm{\Phi }}{A}$ ${F}_{m}=\frac{1}{2}{V}_{m}^{2}\frac{{\mathrm{dG}}_{m}}{\mathrm{dx}}$ ${G}_{m}={\mathrm{\mu }}_{0}{\mathrm{\mu }}_{r}\frac{A}{\ell }$ ${R}_{m}=\frac{1}{{G}_{m}}$ $\mathrm{\Phi }={\mathrm{\Phi }}_{p}=-{\mathrm{\Phi }}_{n}$ ${V}_{m}={V}_{{m}_{p}}-{V}_{{m}_{n}}={R}_{m}\mathrm{\Phi }$ $\frac{{\mathrm{dG}}_{m}}{\mathrm{dx}}=-{\mathrm{\mu }}_{0}{\mathrm{\mu }}_{r}\frac{A}{{\ell }^{2}}\frac{d\ell }{\mathrm{dx}}$ ${f}_{\mathrm{flange}}=-{F}_{m}$

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 ${F}_{m}$ $N$ 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 $\frac{{\mathrm{dG}}_{m}}{\mathrm{dx}}$ $\frac{H}{m}$ Derivative of permeance with respect to armature position dGmBydx $\ell$ $m$ Axial length (in direction of flux) l $B$ $T$ Homogeneous flux density B

Connections

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

Parameters

 Name Default Units Description Modelica ID ${\mathrm{\mu }}_{r}$ $1$ $1$ Relative magnetic permeability mu_r $\frac{d\ell }{\mathrm{dx}}$ $1$ $1$ Derivative of flux tube's varying dimension with respect to armature position; set to +1 or -1 dl/dx ${r}_{i}$ $0$ $m$ Inner radius of (hollow) cylinder r_i ${r}_{o}$ $0.01$ $m$ Outer radius of (hollow) cylinder r_o Use Support $\mathrm{false}$ 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.