modelHollowCylinderRadialFlux
Extends from BaseClasses.FixedShape (Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics), Modelica.Magnetic.FluxTubes.Icons.HollowCylinderRadialFlux (Icon for cylinder with radial flux).
Information
Please refer to the enclosing sub-package FixedShape for a description of all elements of this package and to [Ro41] for derivation and/or coefficients of the equation for permeance G_m.
For hollow cylindric flux tubes with a radial magnetic flux, the flux density is a function of the radius. For that reason, the characteristic mu_r(B) is evaluated for the flux density at the flux tube's mean radius.
For those flux tube sections of a magnetic device that have a nonlinear material characteristic mu_r(B) and a large aspect ratio of outer to inner radius r_o/r_i, the section can be split up in a series connection of several hollow cylindric flux tubes with radial flux. This allows for more realistic modelling of the dependence of flux density on the radius compared to modelling with just one flux tube element.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Material | |||
| Boolean | nonLinearPermeability (from FixedShape) | true | = true, if non-linear rel. permeability is used, otherwise constant rel. permeability |
| SI.RelativePermeability | mu_rConst (from FixedShape) | 1 | Constant relative permeability; used if nonLinearPermeability = false |
| FluxTubes.Material.SoftMagnetic.BaseData | material (from FixedShape) | Material.SoftMagnetic.BaseData() | Ferromagnetic material characteristics; used if nonLinearPermeability = true |
| Fixed geometry | |||
| SI.Length | l | 0.01 | Width (orthogonal to flux direction) |
| SI.Radius | r_i | 0.01 | Inner radius of hollow cylinder |
| SI.Radius | r_o | 0.02 | Outer radius of hollow cylinder |
| SI.Angle | alpha | 2*pi | Central angle |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| FluxTubes.Interfaces.PositiveMagneticPort | port_p (from TwoPortElementary) | Positive magnetic port | |
| FluxTubes.Interfaces.NegativeMagneticPort | port_n (from TwoPortElementary) | Negative magnetic port |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.MagneticPotentialDifference | V_m (from TwoPortExtended) | Magnetic potential difference of ports | |
| SI.MagneticFlux | Phi (from TwoPortExtended) | Magnetic flux from port_p to port_n | |
| SI.Reluctance | R_m (from FixedShape) | Magnetic reluctance | |
| SI.Permeance | G_m (from FixedShape) | Magnetic permeance | |
| SI.MagneticFluxDensity | B (from FixedShape) | Magnetic flux density | |
| SI.CrossSection | A (from FixedShape) | Cross-sectional area penetrated by magnetic flux | |
| SI.MagneticFieldStrength | H (from FixedShape) | Magnetic field strength | |
| SI.RelativePermeability | mu_r (from FixedShape) | Relative magnetic permeability |