WOLFRAM SYSTEMMODELER

IM_SlipRing

Induction machine with slip ring rotor

Diagram

Wolfram Language

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SystemModel["Modelica.Magnetic.QuasiStatic.FundamentalWave.BasicMachines.InductionMachines.IM_SlipRing"]
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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Resistances and stray inductances of the machine always refer to either stator or rotor. The symmetry of the stator, rotor and supply are assumed. The number of stator and rotor phases may be different. 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 rotor winding resistances
  • friction losses
  • stator and rotor core losses (only eddy current losses, no hysteresis losses)
  • stray load losses

See also

IM_SquirrelCage, Magnetic.FundamentalWave.BasicMachines.AsynchronousInductionMachines.AIM_SlipRing, Magnetic.FundamentalWave.BasicMachines.AsynchronousInductionMachines.AIM_SquirrelCage,

Parameters (27)

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 per phase w.r.t. rotor side

Rr

Value:

Type: Resistance (Ω)

Description: Rotor resistance per phase w.r.t. rotor 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

useTurnsRatio

Value:

Type: Boolean

Description: Use TurnsRatio or calculate from locked-rotor voltage?

TurnsRatio

Value:

Type: Real

Description: Effective number of stator turns / effective number of rotor turns

VsNominal

Value:

Type: Voltage (V)

Description: Nominal stator voltage per phase

VrLockedRotor

Value:

Type: Voltage (V)

Description: Locked rotor voltage per phase

rotorCoreParameters

Value:

Type: CoreParameters

Description: Rotor core loss parameter record, all quantities refer to rotor side

Outputs (12)

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: PowerBalanceAIMS

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

vr

Default Value: plug_rp.pin.v - plug_rn.pin.v

Type: ComplexVoltage[mr]

Description: Complex rotor voltage

ir

Default Value: plug_rp.pin.i

Type: ComplexCurrent[mr]

Description: Complex rotor current

Connectors (9)

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: ThermalPortAIMS

Description: Thermal port of induction machines

internalThermalPort

Type: ThermalPortAIMS

internalSupport

Type: Support

plug_rn

Type: NegativePlug

Description: Negative plug of rotor

plug_rp

Type: PositivePlug

Description: Positive plug of rotor

Components (21)

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: PowerBalanceAIMS

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: SymmetricMultiPhaseWinding

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

thermalAmbient

Type: ThermalAmbientAIMS

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

rotorCoreParameters

Type: CoreParameters

Description: Rotor core loss parameter record, all quantities refer to rotor side

vr

Type: ComplexVoltage[mr]

Description: Complex rotor voltage

ir

Type: ComplexCurrent[mr]

Description: Complex rotor current

rotor

Type: SymmetricMultiPhaseWinding

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

Used in Examples (2)

IMS_Characteristics

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines

Characteristic curves of induction machine with slip rings

IMS_Start

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines

Starting of induction machine with slip rings