modelIMC_withLosses

Induction machine with squirrel cage and losses
Diagram of IMC_withLossesOpen the diagram
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Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

Description

This example is intended to complare simulation and measurement results of a squirrel cage induction machine.

Nominal machine data

Machine parameters are taken from a standard 18.5 kW 400 V 50 Hz motor, simulation results are compared with measurements.

See: Anton Haumer, Christian Kral, Hansjörg Kapeller, Thomas Bäuml, Johannes V. Gragger The AdvancedMachines Library: Loss Models for Electric Machines Modelica 2009, 7th International Modelica Conference


Nominal stator current 32.85 A
Power factor 0.898
Speed 1462.5 rpm
Electrical input 20,443.95 W
Stator copper losses 770.13 W
Stator core losses 410.00 W
Rotor copper losses 481.60 W
Stray load losses 102.22 W
Friction losses 180.00 W
Mechanical output 18,500.00 W
Efficiency 90.49 %
Nominal torque 120.79 Nm

Machine parameter

In the simulation model the following machine parameters are used:

Stator resistance per phase 0.56 Ω
Temperature coefficient copper
Reference temperature 20 °C
Operation temperature 90 °C
Stator leakage reactance at 50 Hz 1.52 Ω
Main field reactance at 50 Hz 66.40 Ω
Rotor leakage reactance at 50 Hz 2.31 Ω
Rotor resistance per phase 0.42 Ω
Temperature coefficient aluminium
Reference temperature 20 °C
Operation temperature 90 °C
Effective number of stator turns 270.1

Plot the following variable(s)

  • I_sim and I_meas against Pm: simulated and measured RMS current against mechanical power
  • w_sim and w_meas against Pm: simulated and measured speed against mechanical power
  • pfs_sim and pfs_meas against Pm: simulated and measured power factor against mechanical power
  • loss_sim/code> and loss_meas against Pm: simulated and measured total loss against mechanical power
  • eff_sim/code> and eff_meas against Pm: simulated and measured efficiency against mechanical power

Parameters

TypeNameDefaultDescription
Integerm3Number of phases
ParameterRecords.IMC_withLossesimcDataInduction machine parameters

Components

TypeNameDefaultDescription
Modelica.Units.SI.PowerPselectricalPowerSensor.apparentPower.reStator active power
Modelica.Units.SI.ReactivePowerQselectricalPowerSensor.apparentPower.imStator reactive power
Modelica.Units.SI.ApparentPowerSssqrt(Ps^2 + Qs^2)Stator apparent power
Modelica.Units.SI.PowerPmpowerSensor.powerMechanical output power
Modelica.Units.SI.PowerPs_simsqrt(3)*imcData.VsNominal*I_sim*pfs_simSimulated stator power
Modelica.Units.SI.PowerPs_meassqrt(3)*imcData.VsNominal*I_meas*pfs_measSimulated stator power
Modelica.Units.SI.Powerloss_simPs_sim - PmSimulated total losses
Modelica.Units.SI.Powerloss_measPs_meas - PmMeasured total losses
Modelica.Units.SI.CurrentI_simcurrentRMSSensor.ISimulated current
Modelica.Units.SI.CurrentI_meascombiTable1Ds.y[1]Measured current
Modelica.Units.SI.AngularVelocityw_simimc.wMechanicalSimulated speed
Modelica.Units.SI.AngularVelocityw_meascombiTable1Ds.y[2]Measured speed
Realpfs_simif noEvent(Ss > Modelica.Constants.small) then Ps/Ss else 0Simulated power factor
Realpfs_meascombiTable1Ds.y[3]Measured power factor
Realeff_simif noEvent(abs(Ps) > Modelica.Constants.small) then Pm/Ps else 0Simulated efficiency
Realeff_meascombiTable1Ds.y[4]Measured efficiency
Modelica.Magnetic.QuasiStatic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCageimc
Modelica.Magnetic.QuasiStatic.FundamentalWave.Utilities.MultiTerminalBoxterminalBox
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.PowerSensorelectricalPowerSensor
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentQuasiRMSSensorcurrentRMSSensor
Modelica.Electrical.QuasiStatic.Polyphase.Sources.VoltageSourcesineVoltage
Modelica.Electrical.QuasiStatic.Polyphase.Basic.Starstar
Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Groundground
Modelica.Mechanics.Rotational.Sensors.PowerSensorpowerSensor
Modelica.Mechanics.Rotational.Components.InertialoadInertia
Modelica.Mechanics.Rotational.Sources.Torquetorque
Modelica.Blocks.Math.Gaingain
Modelica.Blocks.Continuous.PIPI
Modelica.Blocks.Math.Feedbackfeedback
Modelica.Blocks.Sources.Rampramp
Modelica.Blocks.Tables.CombiTable1DscombiTable1Ds