Model of a three phase electrical excited synchronous
induction machine with damper cage.
Resistance and stray inductance of stator is modeled directly in
stator phases, then using space phasor transformation and a
rotor-fixed AirGap model. Resistance and stray inductance
of rotor's squirrel cage is modeled in two axis of the rotor-fixed
coordinate system. Electrical excitation is modelled by converting
excitation current and voltage to d-axis space phasors. 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 |
no-load excitation current @ nominal voltage and frequency |
10 | A DC |
warm excitation resistance | 2.5 | Ohm |
nominal current per phase | 100 | A RMS |
nominal apparent power | -30000 | VA |
power factor | -1.0 | ind./cap. |
nominal excitation current | 19 | A |
efficiency w/o excitation | 97.1 | % |
nominal torque | -196.7 | Nm |
nominal speed | 1500 | rpm |
nominal rotor angle | -57.23 | degree |
stator resistance | 0.03 | Ohm per phase at reference temperature |
reference temperature TsRef | 20 | °C |
temperature coefficient alpha20s | 0 | 1/K |
stator reactance Xd | 1.6 | Ohm per phase in d-axis |
giving Kc | 0.625 | |
stator reactance Xq | 1.6 | Ohm per phase in q-axis |
stator stray reactance Xss | 0.1 | Ohm per phase |
damper resistance in d-axis | 0.04 | Ohm at reference temperature |
damper resistance in q-axis | same as d-axis | |
reference temperature TrRef | 20 | °C |
temperature coefficient alpha20r | 0 | 1/K |
damper stray reactance in d-axis XDds | 0.05 | Ohm |
damper stray reactance in q-axis XDqs | same as d-axis | |
excitation resistance | 2.5 | Ohm at reference temperature |
reference temperature TeRef | 20 | °C |
temperature coefficient alpha20e | 0 | 1/K |
excitation stray inductance | 2.5 | % of total excitation inductance |
stator operational temperature TsOperational | 20 | °C |
damper operational temperature TrOperational | 20 | °C |
excitation operational temperature TeOperational | 20 | °C |
These values give the following inductances: | ||
main field inductance in d-axis | (Xd - Xss)/(2*pi*fNominal) | |
main field inductance in q-axis | (Xq - Xss)/(2*pi*fNominal) | |
stator stray inductance per phase | Xss/(2*pi*fNominal) | |
damper stray inductance in d-axis | XDds/(2*pi*fNominal) | |
damper stray inductance in q-axis | XDqs/(2*pi*fNominal) |