Leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1
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).
| Name | Description |
|---|---|
| Leakage flux from one edge to the opposite plane through a quarter cylinder | |
| Leakage flux in circumferential direction through a quarter hollow cylinder | |
| Leakage flux through the edges of a half cylinder | |
| Leakage flux in circumferential direction through a half hollow cylinder | |
| Leakage flux through the corners of a quarter sphere | |
| Leakage flux through the edges of a quarter hollow sphere | |
| Leakage flux through one edge and the opposite plane of an eighth of a sphere | |
| Leakage flux through one edge and the opposite plane of an eighth of a hollow sphere | |
| Leakage flux between the end planes of a inner solid cylinder and a coaxial outer hollow cylinder |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterCylinderLeakage flux from one edge to the opposite plane through a quarter cylinder
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| l | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edge and plane) [m] |
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| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterHollowCylinderLeakage flux in circumferential direction through a quarter hollow cylinder
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| l | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i) [m] |
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| ratio | Constant ratio t/r_i |
| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.HalfCylinderLeakage flux through the edges of a half cylinder
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| l | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edges) [m] |
![]() | |
| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.HalfHollowCylinderLeakage flux in circumferential direction through a half hollow cylinder
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| l | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i) [m] |
![]() | |
| ratio | Constant ratio t/r_i |
| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterSphereLeakage flux through the corners of a quarter sphere
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| r | Radius of quarter sphere [m] |
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| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.QuarterHollowSphereLeakage flux through the edges of a quarter hollow sphere
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| t | Thickness of spherical shell [m] |
![]() | |
| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.EighthOfSphereLeakage flux through one edge and the opposite plane of an eighth of a sphere
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| r | Radius of eighth of sphere [m] |
![]() | |
| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.EighthOfHollowSphereLeakage flux through one edge and the opposite plane of an eighth of a hollow sphere
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| t | Thickness of spherical shell [m] |
![]() | |
| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |
Modelica.Magnetic.QuasiStatic.FluxTubes.Shapes.Leakage.CoaxCylindersEndFacesLeakage flux between the end planes of a inner solid cylinder and a coaxial outer hollow cylinder
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 FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Name | Description |
|---|---|
| r_0 | Radius of inner solid cylinder [m] |
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| r_1 | Inner radius of outer hollow cylinder [m] |
| r_2 | Outer radius of outer hollow cylinder [m] |
| Name | Description |
|---|---|
| port_p | Positive quasi-static magnetic port |
| port_n | Negative quasi-static magnetic port |