modelRotorSaliencyAirGap
Information
This salient air gap model can be used for machines with uniform air gaps and for machines with rotor saliency. The air gap model is not symmetrical towards stator and rotor since it is assumed the saliency always refers to the rotor. The saliency of the air gap is represented by a main field inductance in the d- and q-axis.
For the mechanical interaction of the air gap model with the stator and the rotor is equipped with two
rotational connectors. The torques acting on both connectors have the same absolute values but different signs. The stator and the rotor reference angles,
and
are related by
where
is the electrical angle between stator and rotor.
The air gap model has two magnetic stator and two magnetic rotor ports. The magnetic potential difference and the magnetic flux of the stator and rotor are equal complex quantities, respectively, but the reference angles are different; see Concept. The d and q axis components with respect to the rotor fixed reference frame (superscript r) are determined from the stator (superscript s) and rotor (superscript r) reference quantities, by
.
The d and q axis magnetic potential difference components and flux components are related with the flux by:
See also
Magnetic.FundamentalWave.BasicMachines.Components.RotorSaliencyAirGap
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | p | Number of pole pairs | |
| Magnetic.FundamentalWave.Types.SalientInductance | L0 | Salient inductance of a single unchorded coil w.r.t. the fundamental wave | |
| Magnetic.FundamentalWave.Types.SalientReluctance | R_m | Reluctance of the air gap model |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| Interfaces.PositiveMagneticPort | port_sp | Positive complex magnetic stator port | |
| Interfaces.NegativeMagneticPort | port_sn | Negative complex magnetic stator port | |
| Interfaces.PositiveMagneticPort | port_rp | Positive complex magnetic rotor port | |
| Interfaces.NegativeMagneticPort | port_rn | Negative complex magnetic rotor port | |
| Modelica.Mechanics.Rotational.Interfaces.Flange_a | flange_a | Flange of the rotor | |
| Modelica.Mechanics.Rotational.Interfaces.Flange_a | support | Support at which the reaction torque is acting |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.ComplexMagneticPotentialDifference | V_ms | Complex magnetic potential difference of stator w.r.t. stator fixed frame | |
| SI.ComplexMagneticPotentialDifference | V_msr | V_ms*Modelica.ComplexMath.fromPolar(1, gammar) | Complex magnetic potential difference of stator w.r.t. rotor fixed frame |
| SI.ComplexMagneticPotentialDifference | V_mr | Complex magnetic potential difference of rotor w.r.t. rotor fixed frame | |
| SI.ComplexMagneticPotentialDifference | V_mrr | V_mr*Modelica.ComplexMath.fromPolar(1, gammar) | Complex magnetic potential difference of rotor w.r.t. rotor fixed frame |
| SI.ComplexMagneticFlux | Phi_s | Complex magnetic flux of stator w.r.t. stator fixed frame | |
| SI.ComplexMagneticFlux | Phi_sr | Phi_s*Modelica.ComplexMath.fromPolar(1, gammar) | Complex magnetic flux of stator w.r.t. rotor fixed frame |
| SI.ComplexMagneticFlux | Phi_r | Complex magnetic flux of rotor w.r.t. rotor fixed frame | |
| SI.ComplexMagneticFlux | Phi_rr | Phi_r*Modelica.ComplexMath.fromPolar(1, gammar) | Complex magnetic flux of rotor w.r.t. rotor fixed frame |
| SI.Torque | tauElectrical | Electrical torque | |
| SI.Angle | gamma | p*(flange_a.phi - support.phi) | Electrical angle between rotor and stator |
| SI.Angle | gammas | port_sp.reference.gamma | Angle electrical quantities in stator fixed frame |
| SI.Angle | gammar | port_rp.reference.gamma | Angle electrical quantities in rotor fixed frame |