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WOLFRAM SYSTEM MODELER

IM_SquirrelCage

Induction 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

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)

	IMC_Characteristics Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Characteristic curves of Induction machine with squirrel cage
	IMC_DOL Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage started directly on line (DOL)
	IMC_YD Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage starting Y-D
	IMC_Transformer Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage starting with transformer
	IMC_Conveyor Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage and inverter driving a conveyor
	IMC_withLosses Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Induction machine with squirrel cage and losses
	IMC_Initialize Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines Steady-state initialization of induction machine with squirrel cage