Cuboid Orthogonal Flux - MapleSim Help

Cuboid Orthogonal Flux

Cuboid with flux orthogonal to direction of motion; constant permeability

 Description The Cuboid Orthogonal Flux Reluctance Force (or Cuboid Orthogonal Flux) component models a cuboid with flux orthogonal to the direction of motion.
 Equations $A=a\ell$ $B=\frac{\mathrm{\Phi }}{A}$ ${F}_{m}=\frac{1}{2}{V}_{m}^{2}\frac{{\mathrm{dG}}_{m}}{\mathrm{dx}}$ ${G}_{m}={\mathrm{\mu }}_{0}{\mathrm{\mu }}_{r}\frac{A}{b}$ ${R}_{m}=\frac{1}{{G}_{m}}$ $\mathrm{\Phi }={\mathrm{\Phi }}_{p}=-{\mathrm{\Phi }}_{n}$ ${V}_{m}={V}_{{m}_{p}}-{V}_{{m}_{n}}={R}_{m}\mathrm{\Phi }$ $\frac{{\mathrm{dG}}_{m}}{\mathrm{dx}}={\mathrm{\mu }}_{0}{\mathrm{\mu }}_{r}\frac{a}{b}\frac{d\ell }{\mathrm{dx}}$ ${f}_{\mathrm{flange}}=-{F}_{m}$

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 $\ell$ $m$ Length in direction of motion (orthogonal to 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 Use Support $\mathrm{false}$ = true, if support flange enabled, otherwise implicitly grounded useSupport ${\mathrm{\mu }}_{r}$ $1$ $1$ 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 (in flux direction) b

 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.