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Double Phase Asynchronous Machine


The double phase asynchronous machine is modelled as a Norton equivalent which has a direct interface with the network component. The machine electrical parameters must be specified with real parameters (SI). The control of the machine can only be done externally through the mechanical speed or the mechanical torque. 

The double phase asynchronous machine does not participate in the load flow.

Mask and Parameters

The mask of the machine has three tabs: 

  • Electrical Parameters: General parameters of the machine
  • Mechanical Data: Mechanical parameters of the machine
  • Saturation Tab: Parameters of the saturation curve 

In the Saturation tab, the user must specify the points of the saturation curve if this is taken into account. In the case of the independent saturation of axes d and q, the two tables represent the positive part of the curve (the negative part is deduced by symmetry) and the number of points of these curves can be different. In the case of total saturation, only the d axis table is used.

Note: The first of each saturation curve must not be zero and corresponds to the linear inductance of the machine in the case of independent saturation.

Electrical Parameters tab

NameDescriptionUnit
Base powerNominal powerkVA
Base voltageNominal voltage (line to line)kV
FrequencyNominal frequencyHz
Number of polesNumber of poles-
RqsMain winding resistanceOhm
RdsAuxiliary winding resistanceOhm
LlqsMain winding leakage inductanceH
LldsAuxiliary winding leakage inductanceH
Lmdd-axis mutual inductanceH
Lmqq-axis mutual inductance H
RqrRotor cage resistance, main windingOhm
RdrRotor cage resistance, auxiliary windingOhm
LlqrRotor cage leakage inductance, main windingH
LldrRotor cage leakage inductance, auxiliary windingH
Initial slipInitial slip-
Nds/NqsTurn ratio between auxiliary and main windings-

Mechanical Data tab

NameDescriptionUnit
Moment of inertia JMoment of inertiakgm2
Friction KdFriction coefficientNm.s
Mechanical torqueUser select if the mechanical torque characteristic is internal or external-
TmecTorque points of the mechanical torque versus speedNm
WmecSpeed points of the mechanical torque versus speedrad/s

Saturation tab

NameDescriptionUnit
Saturation EnableUser can disable or enable independent or total saturation-
d-axis saturation curve pointsNumber of d-axis saturation curve points-
Imdd-axis magnetizing current points of saturation curve.A
Fluxmdd-axis magnetizing flux points of saturation curve.Wb
q-axis saturation curve pointsNumber of q-axis saturation curve points-
Imqq-axis magnetizing current points of saturation curveA
Fluxmqq-axis magnetizing flux points of saturation curve.Wb

Ports, Inputs, Outputs and Signals Available for Monitoring

Ports

NameDescription
M+Stator main winding input connector of the machine. It supports single-phase connection.
MStator main winding output connector of the machine. It supports single-phase connection.
A+Stator auxiliary winding input connector of the machine. It supports single-phase connection.
AStator auxiliary winding output connector of the machine. It supports single-phase connection.

Inputs

NameDescriptionUnit

Torque or speed signal if the control is external

Nm or rad/s

Outputs

None

Sensors

Name

Description

Unit

Fluxdr1

d-axis rotor flux, auxiliary winding

V.s

Fluxds

d-axis stator flux, auxiliary winding

V.s

Fluxm

Mutual magnetization flux

V.s

Fluxmd

d-axis mutual magnetization flux, auxiliary winding

V.s

Fluxmq

q-axis mutual magnetization flux, main wnding

V.s

Fluxqr1

q-axis rotor flux, main winding

V.s

Fluxqs

d-axis stator flux, main winding

V.s

Iar1

Phase A rotor current 

A

Ibr1

Phase B rotor current

A

Idr1

d-axis rotor current, auxiliary winding

A

Ids

d-axis stator current, auxiliary winding

A

Im

Magnetization current

A

Imd

d-axis magnetization current

A

Imq

q-axis magnetization current

A

Iqr1

q-axis rotor current, main winding 

A

Iqs

q-axis stator current, main winding

A

Ps

Active power

W

Slip

slip


ThetaRElectrical angle of the rotor rad

Tmec

Mechanical torque

Nm

Tmec_i

Load torque

Nm

Wm

Mechanical speed

rad/s

Wr

Electrical speed 

rad/s

Wrpm

Mechanical speed

rpm

Additional Information & Model Equations

The equations below describe the 2-phase single cage asynchronous machine in the dq frame of reference and where all the parameters and variables are reported on the stator side.
The equations of the electrical system are given by:

Where,

The electromagnetic torque and the dynamic equation are described as follows:

Limitations

This model does not account for iron losses.

References

Analysis of Electric Machinery and Drive Systems, 2nd edition, Paul C. Krause, Oleg Wasynczuk, Scott D. Sudhoff.

See Also

OPAL-RT TECHNOLOGIES, Inc. | 1751, rue Richardson, bureau 1060 | Montréal, Québec Canada H3K 1G6 | opal-rt.com | +1 514-935-2323
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