Model of a three phase synchronous induction machine
with reluctance rotor and damper cage.
Resistance and stray inductance of stator is modeled directly in
stator phases, then using space phasor transformation. Resistance
and stray inductance of rotor's squirrel cage is modeled in two
axis of the rotor-fixed coordinate system. Both together connected
via a rotor-fixed AirGap model. The machine models take
the following loss effects into account:
Whether a damper cage is present or not, can be selected with
Boolean parameter useDamperCage (default = true).
Default values for machine's parameters (a realistic
example) are:
number of pole pairs p | 2 | |
stator's moment of inertia | 0.29 | kg.m2 |
rotor's moment of inertia | 0.29 | kg.m2 |
nominal frequency fNominal | 50 | Hz |
nominal voltage per phase | 100 | V RMS |
nominal current per phase | 50 | A RMS |
nominal torque | 46 | Nm |
nominal speed | 1500 | rpm |
nominal mechanical output | 7.23 | kW |
efficiency | 96.98 | % |
power factor | 0.497 | |
stator resistance | 0.03 | Ohm per phase at reference temperature |
reference temperature TsRef | 20 | °C |
temperature coefficient alpha20s | 0 | 1/K |
rotor resistance in d-axis | 0.04 | Ohm at reference temperature |
rotor resistance in q-axis | same as d-axis | |
reference temperature TrRef | 20 | °C |
temperature coefficient alpha20r | 0 | 1/K |
stator reactance Xsd in d-axis | 3 | Ohm per phase |
stator reactance Xsq in q-axis | 1 | Ohm |
stator stray reactance Xss | 0.1 | Ohm per phase |
rotor stray reactance in d-axis Xrds | 0.05 | Ohm per phase |
rotor stray reactance in q-axis Xrqs | same as d-axis | |
stator operational temperature TsOperational | 20 | °C |
damper operational temperature TrOperational | 20 | °C |
These values give the following inductances: | ||
stator stray inductance per phase | Xss/(2*pi*fNominal) | |
rotor stray inductance in d-axis | Xrds/(2*pi*fNominal) | |
rotor stray inductance in q-axis | Xrqs/(2*pi*fNominal) | |
main field inductance per phase in d-axis | (Xsd-Xss)/(2*pi*fNominal) | |
main field inductance per phase in q-axis | (Xsq-Xss)/(2*pi*fNominal) |