Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.FixedShape

Flux tubes with fixed shape during simulation and linear or non-linear material characteristics

Information

This package provides different reluctance models, based on different geometric data.

Extends from Modelica.Icons.VariantsPackage (Icon for package containing variants).

Package Content

Name	Description
GenericFluxTube	Flux tube with fixed cross-section and length; linear or non-linear material characteristics
Cuboid	Flux tube with rectangular cross-section; fixed shape; linear or non-linear material characteristics
HollowCylinderAxialFlux	(Hollow) cylinder with axial flux; fixed shape; linear or non-linear material characteristics
HollowCylinderRadialFlux	Hollow cylinder with radial flux; fixed shape; linear or non-linear material characteristics

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.FixedShape.GenericFluxTube

Flux tube with fixed cross-section and length; linear or non-linear material characteristics

Information

The generic flux tube models the reluctance with constant area of cross section, and length, l the magnetic reluctance by:

,

Extends from FluxTubes.Interfaces.PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

Name	Description
mu_rConst	Constant relative permeability [1]
Fixed geometry
l	Length in direction of flux [m]
area	Area of cross section [m2]

Connectors

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.FixedShape.Cuboid

Flux tube with rectangular cross-section; fixed shape; linear or non-linear material characteristics

Information

The cuboid models the reluctance with rectangular dimensions a and b, and length, l the magnetic reluctance by:

The area of cross section is determined by:

Extends from FluxTubes.Interfaces.PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

Name	Description
mu_rConst	Constant relative permeability [1]
Fixed geometry
l	Length in direction of flux [m]
a	Width of rectangular cross-section [m]
b	Height of rectangular cross-section [m]

Connectors

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.FixedShape.HollowCylinderAxialFlux

(Hollow) cylinder with axial flux; fixed shape; linear or non-linear material characteristics

Information

The axial cylinder models is characterized by the outer diameter, , the inner diameter, , length, . The magnetic reluctance is determined by:

The area of cross section yields:

A hollow cylinder is depicted in the above figure left for . A solid cylindric flux tube an be considered by setting the inner radius, , equal to zero.

A circular sector of the area of cross section with central angle is depicted in the above figure right.

Extends from FluxTubes.Interfaces.PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

Name	Description
mu_rConst	Constant relative permeability [1]
alpha	Central angle [rad]
Fixed geometry
l	Axial length (in direction of flux) [m]
r_i	Inner radius of hollow cylinder (zero for cylinder) [m]
r_o	Outer radius of (hollow) cylinder [m]

Connectors

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.FixedShape.HollowCylinderRadialFlux

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

Information

The radial cylinder model is characterized by the outer diameter, , the inner diameter, , length, , and the angle . The magnetic reluctance is determined by:

In this model the magnetic flux and the magnetic potential difference, respectively, are radially oriented.

The above figure left shows a radial flux cylinder with . The figure on the right indicates the central angle in case a cylinder section shall be considered.

Extends from FluxTubes.Interfaces.PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

Name	Description
mu_rConst	Constant relative permeability [1]
alpha	Central angle [rad]
Fixed geometry
l	Width (orthogonal to flux direction) [m]
r_i	Inner radius of hollow cylinder [m]
r_o	Outer radius of hollow cylinder [m]

Connectors