Package Modelica.Magnetic.FluxTubes.Shapes.LeakageLeakage flux tubes with position-independent permeance and hence no force generation; mu_r=1
Package Modelica.Magnetic.FluxTubes.Shapes.Leakage
Please have a look at UsersGuide.ReluctanceForceCalculation for an explanation of the different flux tube categories and resulting sub-packages.
The permeances of all elements of this package are calculated from their geometry. These flux tube elements are intended for modelling of leakage fields through vacuum, air and other media with a relative permeability mu_r=1. Basic.LeakageWithCoefficient accounts for leakage not by the geometry of flux tubes, but by a coupling coefficient c_usefulFlux.
All dimensions are defined as parameters. As a result, the shape of these elements will remain constant during dynamic simulation of actuators and reluctance forces will not be generated in these flux tube elements. A simple leakage flux tube with reluctance force generation is provided with the element Force.LeakageAroundPoles. In cases where the accuracy of that element is not sufficient, the leakage elements of this package can be adapted and extended so that they are able to change their shape with armature motion and to generate reluctance forces. This requires an extension of the partial model Interfaces.PartialForce, a higher variability of the variables representing the flux tube's dimensions, definition of a relationship between armature position and these dimensions and determination of the analytic derivative dG_m/dx of the flux tube's permeance G_m with respect to armature position x.
Extends from Modelica.Icons.VariantsPackage (Icon for package containing variants).
| 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.FluxTubes.Shapes.Leakage.QuarterCylinder
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Length | l | 0.1 | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edge and plane) |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.QuarterHollowCylinder
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Length | l | 0.1 | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i) |
Real | ratio | Constant ratio t/r_i |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.HalfCylinder
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Length | l | 0.1 | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>distance between edges) |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.HalfHollowCylinder
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Length | l | 0.1 | Axial length orthogonal to flux (=2*pi*r for cylindrical pole and r>>r_i) |
Real | ratio | Constant ratio t/r_i |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.QuarterSphere
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Radius | r | 0.005 | Radius of quarter sphere |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.QuarterHollowSphere
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Length | t | Thickness of spherical shell |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.EighthOfSphere
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Radius | r | 0.01 | Radius of eighth of sphere |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.EighthOfHollowSphere
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| Type | Name | Default | Description |
|---|---|---|---|
Length | t | Thickness of spherical shell |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |
Model Modelica.Magnetic.FluxTubes.Shapes.Leakage.CoaxCylindersEndFaces
Please refer to the enclosing sub-package Leakage for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).
| 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 |
| Type | Name | Description |
|---|---|---|
PositiveMagneticPort | port_p | Positive magnetic port |
NegativeMagneticPort | port_n | Negative magnetic port |