Hollow Cylinder Circumferential Flux - MapleSim Help

Home : Support : Online Help : MapleSim : MapleSim Component Library : Magnetic : Shapes : Fixed Shape : Hollow Cylinder Circumferential Flux

Hollow Cylinder Circumferential Flux

Hollow cylinder with circumferential flux; fixed shape; linear or non-linear material characteristics

 Description The Hollow Cylinder Circumferential Flux component models a flux tube consisting of a hollow cylinder with circumferential flux flow. If the boolean parameter Nonlinear Permeability is true, the component uses a material parameter to specify the Soft Magnetic Material. A record of that class, with the appropriate name, must exist in the model, either at the same or higher level. The Use default material boolean parameter, when true, sets the name of the material parameter to SoftMaterial1, which corresponds to the default name assigned to a record of the appropriate class.  To use a different name, uncheck the box and enter the name in the parameter that appears.
 Equations $A=l\left({r}_{o}-{r}_{i}\right)$ $B=\frac{\mathrm{\Phi }}{A}$ ${G}_{m}={\mathrm{\mu }}_{0}{\mathrm{\mu }}_{r}\frac{A}{\frac{{r}_{o}+{r}_{i}}{2}\alpha }$ $H=\frac{B}{{\mathrm{\mu }}_{0}{\mathrm{\mu }}_{r}}$ ${R}_{m}=\frac{1}{{G}_{m}}$ $\mathrm{\Phi }={\mathrm{\Phi }}_{p}=-{\mathrm{\Phi }}_{n}$ ${V}_{m}={V}_{{m}_{p}}-{V}_{{m}_{n}}={R}_{m}\mathrm{\Phi }$ ${\mathrm{\mu }}_{r}=\left\{\begin{array}{cc}{\mathrm{\mu }}_{{r}_{\mathrm{approx}}}\left(B,\mathrm{material}\right)& \mathrm{Nonlinear Permeability}\\ {\mathrm{\mu }}_{{r}_{\mathrm{const}}}& \mathrm{otherwise}\end{array}$

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 ${R}_{m}$ ${H}^{-1}$ Magnetic reluctance R_m ${G}_{m}$ $H$ Magnetic permeance G_m $B$ $T$ Magnetic flux density B $A$ ${m}^{2}$ Cross-sectional area penetrated by magnetic flux A $H$ $\frac{A}{m}$ Magnetic field strength H ${\mathrm{\mu }}_{r}$ $1$ Relative magnetic permeability mu_r

Connections

 Name Description Modelica ID ${\mathrm{port}}_{p}$ Positive magnetic port port_p ${\mathrm{port}}_{n}$ Negative magnetic port port_n

Parameters

 Name Default Units Description Modelica ID $\ell$ $0.02$ $m$ Width (orthogonal to flux direction) l ${r}_{i}$ $0.01$ $m$ Inner radius of hollow cylinder r_i ${r}_{o}$ $0.02$ $m$ Outer radius of hollow cylinder r_o $\alpha$ $\frac{\mathrm{\pi }}{2}$ $\mathrm{rad}$ Angle of cylinder section alpha Nonlinear Permeability $\mathrm{true}$ True (checked) means ${\mathrm{\mu }}_{r}$ is non-linear, otherwise it is constant nonLinearPermeability Use default material $\mathrm{true}$ True (checked) uses softMaterial1 as the name for the material parameter useDefaultMaterial ${\mathrm{\mu }}_{r,\mathrm{const}}$ $1$ $1$ Constant relative permeability; used if Nonlinear Permeability is false mu_rConst $\mathrm{material}$ Soft Magnetic Material; used if Nonlinear Permeability is true material

 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.