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 Content

NameDescription
Modelica.Electrical.Machines.BasicMachines.AsynchronousInductionMachines.AIM_SquirrelCage AIM_SquirrelCage Asynchronous induction machine with squirrel cage rotor
Modelica.Electrical.Machines.BasicMachines.AsynchronousInductionMachines.AIM_SlipRing AIM_SlipRing Asynchronous induction machine with slipring rotor

Modelica.Electrical.Machines.BasicMachines.AsynchronousInductionMachines.AIM_SquirrelCage 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 Machines.Interfaces.PartialBasicInductionMachine (Partial model for induction machine).

Parameters

NameDescription
pNumber of pole pairs (Integer)
fsNominalNominal frequency [Hz]
JrRotor's moment of inertia [kg.m2]
useSupportEnable / disable (=fixed stator) support
JsStator's moment of inertia [kg.m2]
useThermalPortEnable / disable (=fixed temperatures) thermal port
idq_ss[2]Stator space phasor current / stator fixed frame [A]
idq_sr[2]Stator space phasor current / rotor fixed frame [A]
idq_rs[2]Rotor space phasor current / stator fixed frame [A]
idq_rr[2]Rotor space phasor current / rotor fixed frame [A]
Operational temperatures
TsOperationalOperational temperature of stator resistance [K]
TrOperationalOperational temperature of rotor resistance [K]
Initialization
phiMechanicalMechanical angle of rotor against stator [rad]
wMechanicalMechanical angular velocity of rotor against stator [rad/s]
Nominal resistances and inductances
RsStator resistance per phase at TRef [Ohm]
TsRefReference temperature of stator resistance [K]
alpha20sTemperature coefficient of stator resistance at 20 degC [1/K]
LszeroStator zero sequence inductance [H]
LssigmaStator stray inductance [H]
LmStator main field inductance [H]
LrsigmaRotor stray inductance (equivalent three phase winding) [H]
RrRotor resistance (equivalent three phase winding) at TRef [Ohm]
TrRefReference temperature of rotor resistance [K]
alpha20rTemperature coefficient of rotor resistance at 20 degC [1/K]
Losses
frictionParametersFriction losses
statorCoreParametersStator core losses; all parameters refer to stator side
strayLoadParametersStray load losses

Connectors

NameDescription
flangeShaft
supportSupport at which the reaction torque is acting
plug_spPositive stator plug
plug_snNegative stator plug

Modelica.Electrical.Machines.BasicMachines.AsynchronousInductionMachines.AIM_SlipRing 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 Machines.Interfaces.PartialBasicInductionMachine (Partial model for induction machine).

Parameters

NameDescription
pNumber of pole pairs (Integer)
fsNominalNominal frequency [Hz]
JrRotor's moment of inertia [kg.m2]
useSupportEnable / disable (=fixed stator) support
JsStator's moment of inertia [kg.m2]
useThermalPortEnable / disable (=fixed temperatures) thermal port
idq_ss[2]Stator space phasor current / stator fixed frame [A]
idq_sr[2]Stator space phasor current / rotor fixed frame [A]
idq_rs[2]Rotor space phasor current / stator fixed frame [A]
idq_rr[2]Rotor space phasor current / rotor fixed frame [A]
useTurnsRatioUse turnsRatio or calculate from locked-rotor voltage?
turnsRatioEffective number of stator turns / effective number of rotor turns
VsNominalNominal stator voltage per phase [V]
VrLockedRotorLocked-rotor voltage per phase [V]
Operational temperatures
TsOperationalOperational temperature of stator resistance [K]
TrOperationalOperational temperature of rotor resistance [K]
Initialization
phiMechanicalMechanical angle of rotor against stator [rad]
wMechanicalMechanical angular velocity of rotor against stator [rad/s]
Nominal resistances and inductances
RsStator resistance per phase at TRef [Ohm]
TsRefReference temperature of stator resistance [K]
alpha20sTemperature coefficient of stator resistance at 20 degC [1/K]
LszeroStator zero sequence inductance [H]
LssigmaStator stray inductance [H]
LmStator main field inductance [H]
LrsigmaRotor stray inductance w.r.t. rotor side [H]
LrzeroRotor zero sequence inductance w.r.t. rotor side [H]
RrRotor resistance per phase at TRef w.r.t. rotor side [Ohm]
TrRefReference temperature of rotor resistance [K]
alpha20rTemperature coefficient of rotor resistance at 20 degC [1/K]
Losses
frictionParametersFriction losses
statorCoreParametersStator core losses; all parameters refer to stator side
strayLoadParametersStray load losses
rotorCoreParametersRotor core losses; all parameters refer to rotor side

Connectors

NameDescription
flangeShaft
supportSupport at which the reaction torque is acting
plug_spPositive stator plug
plug_snNegative stator plug
plug_rpPositive rotor plug
plug_rnNegative rotor plug

Automatically generated Mon Sep 23 17:20:29 2013.