Rotor Saliency Air Gap - MapleSim Help
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Fundamental Wave Rotor Saliency Air Gap

Air gap model with rotor saliency

 

Description

Equations

Variables

Connections

Parameters

Modelica Standard Library

Description

The Fundamental Wave Rotor Saliency Air Gap (or Rotor Saliency Air Gap) component can be used for machines with uniform air gaps and for machines with rotor saliencies. The air gap model is not symmetrical between stator and rotor because 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 it is equipped with two rotational connectors. The torques acting on the connectors are equal but opposite. The difference between the stator and the rotor angle, γ, is required for the transformation of the magnetic stator quantities to the rotor side.

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

Equations

γ=pφaφsupp

Γ=expjγ

R^m=R^md+jR^mq=1L0d+j1L0q

Φsr=Φrr=Φ^rp=Φ^rn=ΦssΓ&conjugate0;

Φ^ss=Φ^sp=Φ^sn

V^mrr=V^mrpV^mrn

V^mss=V^mspV^msn

V^msr=V^mssΓ&conjugate0;

π2V^mrr+V^msr=R^mΦ^rr&conjugate0;

τa=τelec=τsupp=V^mssΦ^ss&conjugate0;

Variables

Name

Units

Description

Modelica ID

Vmss

1A

Complex magnetic potential difference of stator w.r.t. stator reference frame

V_mss

Vmsr

1A

Complex magnetic potential difference of stator w.r.t. rotor reference frame

V_msr

Vmrr

1A

Complex magnetic potential difference of rotor w.r.t. rotor reference frame

V_mrr

Φss

Wb

Complex magnetic flux of stator w.r.t. stator reference frame

Phi_ss

Φsr

Wb

Complex magnetic flux of stator w.r.t. rotor reference frame

Phi_sr

Φrr

Wb

Complex magnetic flux of rotor w.r.t. rotor reference frame

Phi_rr

τelec

Nm

Electrical torque

tauElectrical

γ

rad

Electrical angle between rotor and stator

gamma

Γ

 

Equivalent vector representation of orientation

rotator

Connections

Name

Description

Modelica ID

portsp

Positive complex magnetic stator port

port_sp

portsn

Negative complex magnetic stator port

port_sn

portrp

Positive complex magnetic rotor port

port_rp

portrn

Negative complex magnetic rotor port

port_rn

flangea

Flange of the rotor

flange_a

support

Support at which the reaction torque is acting

support

Parameters

Name

Default

Units

Description

Modelica ID

p

 

1

Number of pole pairs

p

L0d

 

H

Salient inductance, direct-axis component

L0d

L0q

 

H

Salient inductance, quadrature-axis component

L0q

Modelica Standard Library

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

Magnetic FundamentalWave

Magnetic FundamentalWave Basic Machine Components

Magnetic Library