modelIM_SquirrelCage
Induction machine with squirrel cage rotor
Extends from Machines.Interfaces.PartialBasicInductionMachine (Partial model for induction machine).
Information
Model of a three-phase 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:
- heat losses in the temperature dependent stator winding resistances
- heat losses in the temperature dependent cage resistances
- friction losses
- core losses (only eddy current losses, no hysteresis losses)
- stray load losses
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) |
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | m (from PartialBasicInductionMachine) | 3 | Number of phases |
| Integer | p (from PartialBasicInductionMachine) | Number of pole pairs (Integer) | |
| SI.Frequency | fsNominal (from PartialBasicInductionMachine) | Nominal frequency | |
| Boolean | useZeroSystem (from PartialBasicInductionMachine) | true | = true, if zero current is explicitely computed |
| SI.Inertia | Jr (from PartialBasicMachine) | Rotor's moment of inertia | |
| Boolean | useSupport (from PartialBasicMachine) | false | Enable / disable (=fixed stator) support |
| SI.Inertia | Js (from PartialBasicMachine) | Jr | Stator's moment of inertia |
| Boolean | useThermalPort (from PartialBasicMachine) | false | Enable / disable (=fixed temperatures) thermal port |
| Operational temperatures | |||
| SI.Temperature | TsOperational (from PartialBasicInductionMachine) | Operational temperature of stator resistance | |
| SI.Temperature | TrOperational | Operational temperature of rotor resistance | |
| Nominal resistances and inductances | |||
| SI.Resistance | Rs (from PartialBasicInductionMachine) | Stator resistance per phase at TRef | |
| SI.Temperature | TsRef (from PartialBasicInductionMachine) | Reference temperature of stator resistance | |
| Machines.Thermal.LinearTemperatureCoefficient20 | alpha20s (from PartialBasicInductionMachine) | Temperature coefficient of stator resistance at 20 degC | |
| SI.Inductance | Lszero (from PartialBasicInductionMachine) | Lssigma | Stator zero sequence inductance |
| SI.Inductance | Lssigma (from PartialBasicInductionMachine) | Stator stray inductance per phase | |
| SI.Inductance | Lm | Stator main field inductance per phase | |
| SI.Inductance | Lrsigma | Rotor stray inductance per phase (equivalent three-phase winding) | |
| SI.Resistance | Rr | Rotor resistance per phase (equivalent three-phase winding) at TRef | |
| SI.Temperature | TrRef | Reference temperature of rotor resistance | |
| Machines.Thermal.LinearTemperatureCoefficient20 | alpha20r | Temperature coefficient of rotor resistance at 20 degC | |
| Losses | |||
| Machines.Losses.FrictionParameters | frictionParameters (from PartialBasicMachine) | Friction loss parameter record | |
| Machines.Losses.CoreParameters | statorCoreParameters (from PartialBasicInductionMachine) | Stator core loss parameter record; all parameters refer to stator side | |
| Machines.Losses.StrayLoadParameters | strayLoadParameters (from PartialBasicInductionMachine) | Stray load loss parameter record | |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Mechanics.Rotational.Interfaces.Flange_a | flange (from PartialBasicMachine) | Shaft | |
| Modelica.Mechanics.Rotational.Interfaces.Flange_a | support (from PartialBasicMachine) | Support at which the reaction torque is acting | |
| Modelica.Electrical.Polyphase.Interfaces.PositivePlug | plug_sp (from PartialBasicInductionMachine) | Positive stator plug | |
| Modelica.Electrical.Polyphase.Interfaces.NegativePlug | plug_sn (from PartialBasicInductionMachine) | Negative stator plug | |
| Machines.Interfaces.InductionMachines.PartialThermalPortInductionMachines | thermalPort (from PartialBasicInductionMachine) |