Model of a three phase asynchronous induction machine
with squirrel 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 stator-fixed AirGap model. The machine models take
the following loss effects into account:
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 | 100 | A RMS |
nominal torque | 161.4 | Nm |
nominal speed | 1440.45 | rpm |
nominal mechanical output | 24.346 | kW |
efficiency | 92.7 | % |
power factor | 0.875 | |
stator resistance | 0.03 | Ohm per phase at reference temperature |
reference temperature TsRef | 20 | °C |
temperature coefficient alpha20s | 0 | 1/K |
rotor resistance | 0.04 | Ohm at reference temperature |
reference temperature TrRef | 20 | °C |
temperature coefficient alpha20r | 0 | 1/K |
stator reactance Xs | 3 | Ohm per phase |
rotor reactance Xr | 3 | Ohm |
total stray coefficient sigma | 0.0667 | |
stator operational temperature TsOperational | 20 | °C |
rotor operational temperature TrOperational | 20 | °C |
These values give the following inductances: | ||
stator stray inductance per phase | Xs * (1 - sqrt(1-sigma))/(2*pi*fNominal) | |
rotor stray inductance | Xr * (1 - sqrt(1-sigma))/(2*pi*fNominal) | |
main field inductance per phase | sqrt(Xs*Xr * (1-sigma))/(2*pi*fNominal) |