 Hollow Cylinder Radial Flux - MapleSim Help

Hollow cylinder with radial flux; constant permeability  Description The Hollow Cylinder Radial Flux Reluctance Force (or Hollow Cylinder Radial Flux) component models the generation of a reluctance force from a flux tube consisting of a hollow cylinder with radial flux flow.  Equations ${A}_{\mathrm{avg}}=\ell \mathrm{\pi }\left({r}_{o}+{r}_{i}\right)$ ${B}_{\mathrm{avg}}=\frac{\mathrm{\Phi }}{{A}_{\mathrm{avg}}}$ ${F}_{m}=\frac{1}{2}{V}_{m}^{2}\frac{{\mathrm{dG}}_{m}}{\mathrm{dx}}$ ${G}_{m}=2\mathrm{\pi }{\mathrm{\mu }}_{0}{\mathrm{\mu }}_{r}\frac{\ell }{\mathrm{log}\left(\frac{{r}_{o}}{{r}_{i}}\right)}$ ${R}_{m}=\frac{1}{{G}_{m}}$ $\mathrm{\Phi }={\mathrm{\Phi }}_{p}=-{\mathrm{\Phi }}_{n}$ ${V}_{m}={V}_{{m}_{p}}-{V}_{{m}_{n}}={R}_{m}\mathrm{\Phi }$ $\frac{{\mathrm{dG}}_{m}}{\mathrm{dx}}=2\mathrm{\pi }{\mathrm{\mu }}_{0}\frac{{\mathrm{\mu }}_{r}}{\mathrm{log}\left(\frac{{r}_{o}}{{r}_{i}}\right)}\frac{d\ell }{\mathrm{dx}}$ ${f}_{\mathrm{flange}}=-{F}_{m}$ 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 (orthogonal to direction of flux) l ${B}_{\mathrm{avg}}$ $T$ Average flux density (at arithmetic mean radius) B_avg 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 ${r}_{i}$ $0.01$ $m$ Inner radius of hollow cylinder r_i ${r}_{o}$ $0.015$ $m$ 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.