modelLeakageAroundPoles
Extends from BaseClasses.Force (Base class for flux tubes with reluctance force generation; constant permeability).
Information
Please refer to the description of the enclosing sub-package Force for a description of all elements of this package.
Leakage flux around a prismatic or cylindric air gap between to poles can be described with this model. Due to its constant radius of the leakage field r, the model is rather simple. Whereas in reality the leakage radius is approximately constant for air gap lengths l greater than this radius, it decreases with air gap lengths less than the leakage radius. This decrease for small air gaps is neglected here, since the influence of the leakage flux tube compared to that of the enclosed main air gap (connected in parallel) decreases for decreasing air gap length l.
Note that in [Ka08] the equation for G_m is accidentally swapped with that of a similar element.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Boolean | useSupport (from Force) | false | = true, if support flange enabled, otherwise implicitly grounded |
| SI.RelativePermeability | mu_r (from Force) | Relative magnetic permeability | |
| Integer | dlBydx (from Force) | 1 | Derivative of flux tube's varying dimension with respect to armature position; set to +1 or -1 |
| SI.Length | w | 0.1 | Width orthogonal to flux; mean circumference of flux tube in case of cylindrical poles |
| SI.Radius | r | 0.01 | Radius of leakage field |
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 | |
| Modelica.Mechanics.Translational.Interfaces.Flange_b | flange (from Force) | Generated reluctance force at armature position | |
| Modelica.Mechanics.Translational.Interfaces.Support | support (from Force) | Support/housing of component |
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.Force | F_m (from Force) | Reluctance force | |
| SI.Length | s (from Force) | flange.s - s_support | Distance between flange and support |
| SI.Reluctance | R_m (from Force) | Magnetic reluctance | |
| SI.Permeance | G_m (from Force) | Magnetic permeance | |
| SI.Permeability | dGmBydx (from Force) | Derivative of permeance with respect to armature position | |
| SI.Length | l | s | Axial length (in direction of flux) |