.Modelica.Electrical.Machines.BasicMachines.SynchronousMachines.SM_ElectricalExcited .Modelica.Electrical.Machines.BasicMachines.SynchronousMachines.SM_ElectricalExcitedModel of a three-phase electrical excited synchronous 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) |