Package Modelica.​Electrical.​Machines.​BasicMachines.​AsynchronousInductionMachines
Models of asynchronous induction machines

Information

This package contains models of asynchronous induction machines, based on space phasor theory:

These models use package SpacePhasors.

Extends from Modelica.​Icons.​VariantsPackage (Icon for package containing variants).

Package Contents

NameDescription
AIM_SlipRingAsynchronous induction machine with slipring rotor
AIM_SquirrelCageAsynchronous induction machine with squirrel cage rotor

Model Modelica.​Electrical.​Machines.​BasicMachines.​AsynchronousInductionMachines.​AIM_SquirrelCage
Asynchronous induction machine with squirrel cage rotor

Information

Model of a three phase asynchronous 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:

Default values for machine's parameters (a realistic example) are:

number of pole pairs p 2
stator's moment of inertia 0.29kg.m2
rotor's moment of inertia 0.29kg.m2
nominal frequency fNominal 50Hz
nominal voltage per phase 100V RMS
nominal current per phase 100A RMS
nominal torque 161.4Nm
nominal speed 1440.45rpm
nominal mechanical output 24.346kW
efficiency 92.7%
power factor 0.875
stator resistance 0.03Ohm per phase at reference temperature
reference temperature TsRef 20°C
temperature coefficient alpha20s 01/K
rotor resistance 0.04Ohm at reference temperature
reference temperature TrRef 20°C
temperature coefficient alpha20r 01/K
stator reactance Xs 3Ohm per phase
rotor reactance Xr 3Ohm
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)

Extends from Modelica.​Electrical.​Machines.​Interfaces.​PartialBasicInductionMachine (Partial model for induction machine).

Parameters

TypeNameDefaultDescription
final Integerm3Number of phases
Integerp Number of pole pairs (Integer)
FrequencyfsNominal Nominal frequency
TemperatureTsOperational Operational temperature of stator resistance
ResistanceRs Stator resistance per phase at TRef
TemperatureTsRef Reference temperature of stator resistance
LinearTemperatureCoefficient20alpha20s Temperature coefficient of stator resistance at 20 degC
InductanceLszeroLssigmaStator zero sequence inductance
InductanceLssigma Stator stray inductance per phase
InertiaJr Rotor's moment of inertia
BooleanuseSupportfalseEnable / disable (=fixed stator) support
InertiaJsJrStator's moment of inertia
BooleanuseThermalPortfalseEnable / disable (=fixed temperatures) thermal port
FrictionParametersfrictionParameters Friction loss parameter record
CoreParametersstatorCoreParameters Stator core loss parameter record; all parameters refer to stator side
StrayLoadParametersstrayLoadParameters Stray load loss parameter record
InductanceLm Stator main field inductance per phase
InductanceLrsigma Rotor stray inductance per phase (equivalent three phase winding)
ResistanceRr Rotor resistance per phase (equivalent three phase winding) at TRef
TemperatureTrRef Reference temperature of rotor resistance
LinearTemperatureCoefficient20alpha20r Temperature coefficient of rotor resistance at 20 degC
TemperatureTrOperational Operational temperature of rotor resistance

Connectors

TypeNameDescription
Flange_aflangeShaft
Flange_asupportSupport at which the reaction torque is acting
PositivePlugplug_spPositive stator plug
NegativePlugplug_snNegative stator plug
ThermalPortAIMCthermalPort 

Model Modelica.​Electrical.​Machines.​BasicMachines.​AsynchronousInductionMachines.​AIM_SlipRing
Asynchronous induction machine with slipring rotor

Information

Model of a three phase asynchronous induction machine with slipring rotor.
Resistance and stray inductance of stator and rotor are modeled directly in stator respectively rotor phases, then using space phasor transformation and a stator-fixed AirGap model. The machine models take the following loss effects into account:

Default values for machine's parameters (a realistic example) are:

number of pole pairs p 2
stator's moment of inertia 0.29kg.m2
rotor's moment of inertia 0.29kg.m2
nominal frequency fNominal 50Hz
nominal voltage per phase 100V RMS
nominal current per phase 100A RMS
nominal torque 161.4Nm
nominal speed 1440.45rpm
nominal mechanical output 24.346kW
efficiency 92.7%
power factor 0.875
stator resistance 0.03Ohm per phase at reference temperature
reference temperature TsRef 20°C
temperature coefficient alpha20s 01/K
rotor resistance 0.04Ohm per phase at reference temperature
reference temperature TrRef 20°C
temperature coefficient alpha20r 01/K
stator reactance Xs 3Ohm per phase
rotor reactance Xr 3Ohm per phase
total stray coefficient sigma 0.0667
turnsRatio 1effective ratio of stator and rotor current
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*f)

Parameter turnsRatio could be obtained from the following relationship at standstill with open rotor circuit at nominal voltage and nominal frequency,
using the locked-rotor voltage VR, no-load stator current I0 and powerfactor PF0:
turnsRatio * VR = Vs - (Rs + j Xs,sigma) I0

Extends from Modelica.​Electrical.​Machines.​Interfaces.​PartialBasicInductionMachine (Partial model for induction machine).

Parameters

TypeNameDefaultDescription
final Integerm3Number of phases
Integerp Number of pole pairs (Integer)
FrequencyfsNominal Nominal frequency
TemperatureTsOperational Operational temperature of stator resistance
ResistanceRs Stator resistance per phase at TRef
TemperatureTsRef Reference temperature of stator resistance
LinearTemperatureCoefficient20alpha20s Temperature coefficient of stator resistance at 20 degC
InductanceLszeroLssigmaStator zero sequence inductance
InductanceLssigma Stator stray inductance per phase
InertiaJr Rotor's moment of inertia
BooleanuseSupportfalseEnable / disable (=fixed stator) support
InertiaJsJrStator's moment of inertia
BooleanuseThermalPortfalseEnable / disable (=fixed temperatures) thermal port
FrictionParametersfrictionParameters Friction loss parameter record
CoreParametersstatorCoreParameters Stator core loss parameter record; all parameters refer to stator side
StrayLoadParametersstrayLoadParameters Stray load loss parameter record
InductanceLm Stator main field inductance per phase
InductanceLrsigma Rotor stray inductance per phase w.r.t. rotor side
InductanceLrzeroLrsigmaRotor zero sequence inductance w.r.t. rotor side
ResistanceRr Rotor resistance per phase at TRef w.r.t. rotor side
TemperatureTrRef Reference temperature of rotor resistance
LinearTemperatureCoefficient20alpha20r Temperature coefficient of rotor resistance at 20 degC
BooleanuseTurnsRatio Use turnsRatio or calculate from locked-rotor voltage?
RealturnsRatio Effective number of stator turns / effective number of rotor turns
VoltageVsNominal Nominal stator voltage per phase
VoltageVrLockedRotor Locked-rotor voltage per phase
TemperatureTrOperational Operational temperature of rotor resistance
CoreParametersrotorCoreParameters Rotor core loss parameter record; all parameters refer to rotor side

Connectors

TypeNameDescription
Flange_aflangeShaft
Flange_asupportSupport at which the reaction torque is acting
PositivePlugplug_spPositive stator plug
NegativePlugplug_snNegative stator plug
ThermalPortAIMSthermalPort 
PositivePlugplug_rpPositive rotor plug
NegativePlugplug_rnNegative rotor plug