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 Content

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

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterCylinder 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
lAxial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edge and plane) [m]

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterHollowCylinder 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
lAxial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i) [m]
ratioConstant ratio t/r_i

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.HalfCylinder 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
lAxial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edges) [m]

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.HalfHollowCylinder 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
lAxial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i) [m]
ratioConstant ratio t/r_i

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterSphere 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
rRadius of quarter sphere [m]

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterHollowSphere 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
tThickness of spherical shell [m]

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.EighthOfSphere 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
rRadius of eighth of sphere [m]

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.EighthOfHollowSphere 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
tThickness of spherical shell [m]

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port

Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.CoaxCylindersEndFaces 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 BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
r_0Radius of inner solid cylinder [m]
r_1Inner radius of outer hollow cylinder [m]
r_2Outer radius of outer hollow cylinder [m]

Connectors

NameDescription
port_pPositive quasi-static magnetic port
port_nNegative quasi-static magnetic port
Automatically generated Thu Oct 1 16:07:51 2020.