WOLFRAM SYSTEM MODELER
IM_SquirrelCageInduction machine with squirrel cage |
 |
Diagram
Wolfram Language
In[1]:=
SystemModel["Modelica.Magnetic.QuasiStatic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage"]
Out[1]:=
Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Resistances and stray inductances of the machine refer to an m-phase stator. The symmetry of the stator, rotor and supply are assumed. 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
See also
IM_SlipRing, Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SlipRing, Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage,
Parameters (23)
| m |
Value: 3 Type: Integer Description: Number of stator phases |
|---|---|
| Jr |
Value: Type: Inertia (kg⋅m²) Description: Rotor inertia |
| useSupport |
Value: false Type: Boolean Description: Enable / disable (=fixed stator) support |
| Js |
Value: Type: Inertia (kg⋅m²) Description: Stator inertia |
| useThermalPort |
Value: false Type: Boolean Description: Enable / disable (=fixed temperatures) thermal port |
| p |
Value: Type: Integer Description: Number of pole pairs (Integer) |
| fsNominal |
Value: Type: Frequency (Hz) Description: Nominal frequency |
| TsOperational |
Value: Type: Temperature (K) Description: Operational temperature of stator resistance |
| Rs |
Value: Type: Resistance (Ω) Description: Stator resistance per phase at TRef |
| TsRef |
Value: Type: Temperature (K) Description: Reference temperature of stator resistance |
| alpha20s |
Value: Type: LinearTemperatureCoefficient20 (1/K) Description: Temperature coefficient of stator resistance at 20 degC |
| effectiveStatorTurns |
Value: 1 Type: Real Description: Effective number of stator turns |
| Lssigma |
Value: Type: Inductance (H) Description: Stator stray inductance per phase |
| L0 |
Value: Type: SalientInductance Description: Salient inductance of an unchorded coil |
| frictionParameters |
Value: Type: FrictionParameters Description: Friction loss parameter record |
| statorCoreParameters |
Value: Type: CoreParameters Description: Stator core loss parameter record; all parameters refer to stator side |
| strayLoadParameters |
Value: Type: StrayLoadParameters Description: Stray load loss parameter record |
| Lm |
Value: Type: Inductance (H) Description: Stator main field inductance per phase |
| Lrsigma |
Value: Type: Inductance (H) Description: Rotor leakage inductance of equivalent m phase winding w.r.t. stator side |
| Rr |
Value: Type: Resistance (Ω) Description: Rotor resistance of equivalent m phase winding w.r.t. stator side |
| TrRef |
Value: Type: Temperature (K) Description: Reference temperature of rotor resistance |
| alpha20r |
Value: Type: LinearTemperatureCoefficient20 (1/K) Description: Temperature coefficient of rotor resistance at 20 degC |
| TrOperational |
Value: Type: Temperature (K) Description: Operational temperature of rotor resistance |
Outputs (11)
| gammas |
Default Value: airGap.gammas Type: Angle (rad) Description: Angle of stator reference frame |
|---|---|
| gammar |
Default Value: airGap.gammar Type: Angle (rad) Description: Angle of stator reference frame |
| gamma |
Default Value: airGap.gamma Type: Angle (rad) Description: Electrical angle between stator and rotor |
| phiMechanical |
Default Value: flange.phi - internalSupport.phi Type: Angle (rad) Description: Mechanical angle of rotor against stator |
| wMechanical |
Default Value: der(phiMechanical) Type: AngularVelocity (rad/s) Description: Mechanical angular velocity of rotor against stator |
| tauElectrical |
Default Value: inertiaRotor.flange_a.tau Type: Torque (N⋅m) Description: Electromagnetic torque |
| tauShaft |
Default Value: -flange.tau Type: Torque (N⋅m) Description: Shaft torque |
| powerBalance |
Type: PowerBalanceIMC Description: Power balance |
| vs |
Default Value: plug_sp.pin.v - plug_sn.pin.v Type: ComplexVoltage[m] Description: Complex stator voltage |
| is |
Default Value: plug_sp.pin.i Type: ComplexCurrent[m] Description: Complex stator current |
| ir |
Default Value: rotorCage.i Type: ComplexCurrent[m] Description: Rotor current |
Connectors (7)
 |
flange |
Type: Flange_a Description: Shaft |
|---|---|---|
|
support |
Type: Flange_a Description: Support at which the reaction torque is acting |
 |
plug_sp |
Type: PositivePlug Description: Positive plug of stator |
 |
plug_sn |
Type: NegativePlug Description: Negative plug of stator |
 |
thermalPort |
Type: ThermalPortIMC Description: Thermal port of induction machines |
|
internalThermalPort |
Type: ThermalPortIMC Description: Thermal port of induction machine with squirrel cage |
 |
internalSupport |
Type: Support Description: Support/housing flange of a one-dimensional rotational shaft |
Components (19)
| L0 |
Type: SalientInductance Description: Salient inductance of an unchorded coil |
|
|---|---|---|
 |
frictionParameters |
Type: FrictionParameters Description: Friction loss parameter record |
 |
statorCoreParameters |
Type: CoreParameters Description: Stator core loss parameter record; all parameters refer to stator side |
 |
strayLoadParameters |
Type: StrayLoadParameters Description: Stray load loss parameter record |
 |
powerBalance |
Type: PowerBalanceIMC Description: Power balance |
 |
vs |
Type: ComplexVoltage[m] Description: Complex stator voltage |
 |
is |
Type: ComplexCurrent[m] Description: Complex stator current |
 |
inertiaRotor |
Type: Inertia Description: 1D-rotational component with inertia |
|
inertiaStator |
Type: Inertia Description: 1D-rotational component with inertia |
 |
fixed |
Type: Fixed Description: Flange fixed in housing at a given angle |
 |
stator |
Type: SymmetricPolyphaseWinding Description: Symmetric stator winding including resistances, zero and stray inductances and core losses |
 |
thermalAmbient |
Type: ThermalAmbientIMC Description: Thermal ambient for induction machine with squirrel cage |
 |
groundS |
Type: Ground Description: Ground of stator magnetic circuit |
 |
airGap |
Type: RotorSaliencyAirGap Description: Air gap model with rotor saliency |
|
groundR |
Type: Ground Description: Ground of rotor magnetic circuit |
 |
strayLoad |
Type: StrayLoad Description: Model of stray load losses dependent on current and speed |
 |
friction |
Type: Friction Description: Model of angular velocity dependent friction losses |
|
ir |
Type: ComplexCurrent[m] Description: Rotor current |
 |
rotorCage |
Type: SymmetricPolyphaseCageWinding Description: Symmetric rotor cage winding including resistances and stray inductances |
Used in Examples (7)
 |
Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Characteristic curves of Induction machine with squirrel cage |
 |
Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage started directly on line (DOL) |
 |
Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage starting Y-D |
 |
Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage starting with transformer |
 |
Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage and inverter driving a conveyor |
 |
Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage and losses |
 |
Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Steady-state initialization of induction machine with squirrel cage |