Package Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage
Leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1

Information

The permeances of all elements of this package are calculated from their geometry [Ro41]. These flux tube elements are intended for modelling of leakage fields through vacuum, air and other media with a relative permeability . Basic.LeakageWithCoefficient accounts for leakage not by the geometry of flux tubes, but by a coupling coefficient c_usefulFlux.

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

Package Contents

NameDescription
CoaxCylindersEndFacesLeakage flux between the end planes of a inner solid cylinder and a coaxial outer hollow cylinder
EighthOfHollowSphereLeakage flux through one edge and the opposite plane of an eighth of a hollow sphere
EighthOfSphereLeakage flux through one edge and the opposite plane of an eighth of a sphere
HalfCylinderLeakage flux through the edges of a half cylinder
HalfHollowCylinderLeakage flux in circumferential direction through a half hollow cylinder
QuarterCylinderLeakage flux from one edge to the opposite plane through a quarter cylinder
QuarterHollowCylinderLeakage flux in circumferential direction through a quarter hollow cylinder
QuarterHollowSphereLeakage flux through the edges of a quarter hollow sphere
QuarterSphereLeakage flux through the corners of a quarter sphere

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​QuarterCylinder
Leakage flux from one edge to the opposite plane through a quarter cylinder

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Lengthl0.1Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edge and plane)

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​QuarterHollowCylinder
Leakage flux in circumferential direction through a quarter hollow cylinder

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Lengthl0.1Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i)
Realratio Constant ratio t/r_i

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​HalfCylinder
Leakage flux through the edges of a half cylinder

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Lengthl0.1Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edges)

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​HalfHollowCylinder
Leakage flux in circumferential direction through a half hollow cylinder

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Lengthl0.1Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i)
Realratio Constant ratio t/r_i

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​QuarterSphere
Leakage flux through the corners of a quarter sphere

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Radiusr0.005Radius of quarter sphere

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​QuarterHollowSphere
Leakage flux through the edges of a quarter hollow sphere

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Lengtht Thickness of spherical shell

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​EighthOfSphere
Leakage flux through one edge and the opposite plane of an eighth of a sphere

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Radiusr0.01Radius of eighth of sphere

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​EighthOfHollowSphere
Leakage flux through one edge and the opposite plane of an eighth of a hollow sphere

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Lengtht Thickness of spherical shell

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Shapes.​Leakage.​CoaxCylindersEndFaces
Leakage flux between the end planes of a inner solid cylinder and a coaxial outer hollow cylinder

Information

In [Ro41] the equations for determining the reluctance are summarized. As an alternative to the geometry based data a generic leakage model is provided in this library.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
Radiusr_00.01Radius of inner solid cylinder
Radiusr_10.017Inner radius of outer hollow cylinder
Radiusr_20.02Outer radius of outer hollow cylinder
final Distancel_gr_1 - r_0Radial gap length between both cylinders
final Lengthtr_2 - r_1Radial thickness of outer hollow cylinder

Connectors

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

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