modelRotorSaliencyAirGap

Air gap model with rotor saliency

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 difference between the stator and the rotor angle, , is required for the transformation of the magnetic stator quantities to the rotor side.

The air gap model has two magnetic stator and two magnetic rotor ports. The magnetic potential difference and the magnetic flux of the stator (superscript s) are transformed to the rotor fixed reference frame (superscript r). The effective reluctances of the main field with respect to the d- and q-axis are considered then in the balance equations

  

according to the following figure.

Fig: Magnetic equivalent circuit of the air gap model

See also

SinglePhaseWinding, SymmetricPolyphaseWinding, SymmetricPolyphaseCageWinding SaliencyCageWinding

Parameters

TypeNameDefaultDescription
IntegerpNumber of pole pairs
Magnetic.FundamentalWave.Types.SalientInductanceL0Salient inductance of a single unchorded coil w.r.t. the fundamental wave
Magnetic.FundamentalWave.Types.SalientReluctanceR_mReluctance of the air gap model

Connectors

TypeNameDefaultDescription
Interfaces.PositiveMagneticPortport_spPositive complex magnetic stator port
Interfaces.NegativeMagneticPortport_snNegative complex magnetic stator port
Interfaces.PositiveMagneticPortport_rpPositive complex magnetic rotor port
Interfaces.NegativeMagneticPortport_rnNegative complex magnetic rotor port
Modelica.Mechanics.Rotational.Interfaces.Flange_aflange_aFlange of the rotor
Modelica.Mechanics.Rotational.Interfaces.Flange_asupportSupport at which the reaction torque is acting

Components

TypeNameDefaultDescription
SI.ComplexMagneticPotentialDifferenceV_mssComplex magnetic potential difference of stator w.r.t. stator fixed frame
SI.ComplexMagneticPotentialDifferenceV_msrComplex magnetic potential difference of stator w.r.t. rotor fixed frame
SI.ComplexMagneticPotentialDifferenceV_mrrComplex magnetic potential difference of rotor w.r.t. rotor fixed frame
SI.ComplexMagneticFluxPhi_ssComplex magnetic flux of stator w.r.t. stator fixed frame
SI.ComplexMagneticFluxPhi_srComplex magnetic flux of stator w.r.t. rotor fixed frame
SI.ComplexMagneticFluxPhi_rrComplex magnetic flux of rotor w.r.t. rotor fixed frame
SI.TorquetauElectricalElectrical torque
SI.AnglegammaElectrical angle between rotor and stator
ComplexrotatorEquivalent vector representation of orientation