IM_SquirrelCage

Induction machine with squirrel cage

Diagram

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

internalSupport

Type: Support

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

inertiaStator

Type: Inertia

fixed

Type: Fixed

stator

Type: SymmetricPolyphaseWinding

Description: Symmetric stator winding including resistances, zero and stray inductances and core losses

thermalAmbient

Type: ThermalAmbientIMC

groundS

Type: Ground

Description: Ground of stator magnetic circuit

airGap

Type: RotorSaliencyAirGap

groundR

Type: Ground

Description: Ground of rotor magnetic circuit

strayLoad

Type: StrayLoad

friction

Type: Friction

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