RotorSaliencyAirGap

Air gap model with rotor saliency

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

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, SymmetricMultiPhaseWinding, SymmetricMultiPhaseCageWinding SaliencyCageWinding

Parameters (3)

p

Value:

Type: Integer

Description: Number of pole pairs

L0

Value:

Type: SalientInductance

Description: Salient inductance of a single unchorded coil w.r.t. the fundamental wave

R_m

Value:

Type: SalientReluctance

Description: Reluctance of the air gap model

Connectors (6)

port_sp

Type: PositiveMagneticPort

Description: Positive complex magnetic stator port

port_sn

Type: NegativeMagneticPort

Description: Negative complex magnetic stator port

port_rp

Type: PositiveMagneticPort

Description: Positive complex magnetic rotor port

port_rn

Type: NegativeMagneticPort

Description: Negative complex magnetic rotor port

flange_a

Type: Flange_a

Description: Flange of the rotor

support

Type: Flange_a

Description: Support at which the reaction torque is acting

Components (9)

L0

Type: SalientInductance

Description: Salient inductance of a single unchorded coil w.r.t. the fundamental wave

R_m

Type: SalientReluctance

Description: Reluctance of the air gap model

V_mss

Type: ComplexMagneticPotentialDifference

Description: Complex magnetic potential difference of stator w.r.t. stator fixed frame

V_msr

Type: ComplexMagneticPotentialDifference

Description: Complex magnetic potential difference of stator w.r.t. rotor fixed frame

V_mrr

Type: ComplexMagneticPotentialDifference

Description: Complex magnetic potential difference of rotor w.r.t. rotor fixed frame

Phi_ss

Type: ComplexMagneticFlux

Description: Complex magnetic flux of stator w.r.t. stator fixed frame

Phi_sr

Type: ComplexMagneticFlux

Description: Complex magnetic flux of stator w.r.t. rotor fixed frame

Phi_rr

Type: ComplexMagneticFlux

Description: Complex magnetic flux of rotor w.r.t. rotor fixed frame

rotator

Type: Complex

Description: Equivalent vector representation of orientation

Used in Components (1)

PartialBasicInductionMachine

Modelica.Magnetic.FundamentalWave.Interfaces

Partial model for induction machine