Package 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 Contents

NameDescription
CuboidFlux tube with rectangular cross-section; fixed shape; linear or non-linear material characteristics
GenericFluxTubeFlux tube with fixed cross-section and length; linear or non-linear material characteristics
HollowCylinderAxialFlux(Hollow) cylinder with axial flux; fixed shape; linear or non-linear material characteristics
HollowCylinderRadialFluxHollow cylinder with radial flux; fixed shape; linear or non-linear material characteristics

Model 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 Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

TypeNameDefaultDescription
RelativePermeabilitymu_rConst1Constant relative permeability
Lengthl0.01Length in direction of flux
CrossSectionarea1e-4Area of cross section

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model 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 Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

TypeNameDefaultDescription
RelativePermeabilitymu_rConst1Constant relative permeability
Lengthl0.01Length in direction of flux
Lengtha0.01Width of rectangular cross-section
Lengthb0.01Height of rectangular cross-section

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model 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 Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

TypeNameDefaultDescription
RelativePermeabilitymu_rConst1Constant relative permeability
Lengthl0.01Axial length (in direction of flux)
Radiusr_i0Inner radius of hollow cylinder (zero for cylinder)
Radiusr_o0.01Outer radius of (hollow) cylinder
Anglealpha2 * Modelica.Constants.piCentral angle

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model 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 Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialFixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics).

Parameters

TypeNameDefaultDescription
RelativePermeabilitymu_rConst1Constant relative permeability
Lengthl0.01Width (orthogonal to flux direction)
Radiusr_i0.01Inner radius of hollow cylinder
Radiusr_o0.02Outer radius of hollow cylinder
Anglealpha2 * Modelica.Constants.piCentral angle

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

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