 Cuboid Parallel Flux - MapleSim Help

Cuboid Parallel Flux

Cuboid with flux in direction of motion, e.g., air gap with rectangular cross-section; constant permeability  Description The Cuboid Parallel Flux Reluctance Force (or Cuboid Parallel Flux) component models the generation of a reluctance force in an air-gap with a rectangular cross-section. The movement of the flange corresponds to the length of the air-gap.  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 $a$ $0.01$ $m$ Width of rectangular cross-section a $b$ $0.01$ $m$ Height of rectangular cross-section b 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.