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

Name	Description
`CoaxCylindersEndFaces`	Leakage flux between the end planes of a inner solid cylinder and a coaxial outer hollow cylinder
`EighthOfHollowSphere`	Leakage flux through one edge and the opposite plane of an eighth of a hollow sphere
`EighthOfSphere`	Leakage flux through one edge and the opposite plane of an eighth of a sphere
`HalfCylinder`	Leakage flux through the edges of a half cylinder
`HalfHollowCylinder`	Leakage flux in circumferential direction through a half hollow cylinder
`QuarterCylinder`	Leakage flux from one edge to the opposite plane through a quarter cylinder
`QuarterHollowCylinder`	Leakage flux in circumferential direction through a quarter hollow cylinder
`QuarterHollowSphere`	Leakage flux through the edges of a quarter hollow sphere
`QuarterSphere`	Leakage 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

Type	Name	Default	Description
`Length`	`l`	`0.1`	Axial length orthogonal to flux (=2pir for cylindrical pole and r>>distance between edge and plane)

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Length`	`l`	`0.1`	Axial length orthogonal to flux (=2pir for cylindrical pole and r>>r_i)
`Real`	`ratio`		Constant ratio t/r_i

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Length`	`l`	`0.1`	Axial length orthogonal to flux (=2pir for cylindrical pole and r>>distance between edges)

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Length`	`l`	`0.1`	Axial length orthogonal to flux (=2pir for cylindrical pole and r>>r_i)
`Real`	`ratio`		Constant ratio t/r_i

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Radius`	`r`	`0.005`	Radius of quarter sphere

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Length`	`t`		Thickness of spherical shell

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Radius`	`r`	`0.01`	Radius of eighth of sphere

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Length`	`t`		Thickness of spherical shell

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative 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

Type	Name	Default	Description
`Radius`	`r_0`	`0.01`	Radius of inner solid cylinder
`Radius`	`r_1`	`0.017`	Inner radius of outer hollow cylinder
`Radius`	`r_2`	`0.02`	Outer radius of outer hollow cylinder
`final` `Distance`	`l_g`	`r_1 - r_0`	Radial gap length between both cylinders
`final` `Length`	`t`	`r_2 - r_1`	Radial thickness of outer hollow cylinder

Connectors

Type	Name	Description
`PositiveMagneticPort`	`port_p`	Positive quasi-static magnetic port
`NegativeMagneticPort`	`port_n`	Negative quasi-static magnetic port

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

Information

Package Contents

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

Information

Parameters

Connectors

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

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

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

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

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

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

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

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

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

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