WOLFRAM SYSTEMMODELER

IMC_withLosses

Induction machine with squirrel cage and losses

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_withLosses"]
Out[1]:=

Information

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

  • Simulate for 10 seconds: The machine is started at nominal speed, subsequently a load ramp is applied.
  • Compare by plotting versus PmechQS:
Current I_simQS I_measQS
Speed w_simQS w_measQS
Power factor pf_simQS pf_measQS
Efficiency eff_simQS eff_measQS

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

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

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

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

Parameters (12)

PNominal

Value: 18500

Type: Power (W)

Description: Nominal output

VNominal

Value: 400

Type: Voltage (V)

Description: Nominal RMS voltage

INominal

Value: 32.85

Type: Current (A)

Description: Nominal RMS current

pfNominal

Value: 0.898

Type: Real

Description: Nominal power factor

PsNominal

Value: sqrt(3) * VNominal * INominal * pfNominal

Type: Power (W)

Description: Nominal stator power

lossNominal

Value: PsNominal - PNominal

Type: Power (W)

Description: Nominal losses

etaNominal

Value: 0.9049

Type: Real

Description: Nominal efficiency

fNominal

Value: 50

Type: Frequency (Hz)

Description: Nominal frequency

wNominal

Value: from_rpm(1462.5)

Type: AngularVelocity (rad/s)

Description: Nominal speed

TNominal

Value: PNominal / wNominal

Type: Torque (N·m)

Description: Nominal torque

TempNominal

Value: from_degC(90)

Type: Temperature (K)

Description: Nominal temperature

imcData

Value:

Type: AIM_SquirrelCageData

Outputs (13)

PmechQS

Default Value: powerSensorQS.power

Type: Power (W)

Description: Mechanical output

Ps_simQS

Default Value: sqrt(3) * VNominal * I_simQS * pf_simQS

Type: Power (W)

Description: Simulated stator power

Ps_measQS

Default Value: sqrt(3) * VNominal * I_measQS * pf_measQS

Type: Power (W)

Description: Simulated stator power

loss_simQS

Default Value: Ps_simQS - PmechQS

Type: Power (W)

Description: Simulated total losses

loss_measQS

Default Value: Ps_measQS - PmechQS

Type: Power (W)

Description: Measured total losses

I_simQS

Default Value: currentQuasiRMSSensorQS.I

Type: Current (A)

Description: Simulated current

I_measQS

Default Value: combiTable1DsQS.y[1]

Type: Current (A)

Description: Measured current

w_simQS

Default Value: imcQS.wMechanical

Type: AngularVelocity (rad/s)

Description: Simulated speed

w_measQS

Default Value: combiTable1DsQS.y[2]

Type: AngularVelocity (rad/s)

Description: Measured speed

pf_simQS

Default Value: if noEvent(SelQS > Modelica.Constants.small) then PelQS / SelQS else 0

Type: Real

Description: Simulated power factor

pf_measQS

Default Value: combiTable1DsQS.y[3]

Type: Real

Description: Measured power factor

eff_simQS

Default Value: if noEvent(abs(PelQS) > Modelica.Constants.small) then PmechQS / PelQS else 0

Type: Real

Description: Simulated efficiency

eff_measQS

Default Value: combiTable1DsQS.y[4]

Type: Real

Description: Measured efficiency

Components (16)

imcQS

Type: IM_SquirrelCage

terminalBoxQS

Type: MultiTerminalBox

electricalPowerSensorQS

Type: PowerSensor

currentQuasiRMSSensorQS

Type: CurrentQuasiRMSSensor

sineVoltageQS

Type: VoltageSource

starQS

Type: Star

groundQS

Type: Ground

powerSensorQS

Type: PowerSensor

loadInertiaQS

Type: Inertia

torqueQS

Type: Torque

gainQS

Type: Gain

PIQS

Type: PI

feedbackQS

Type: Feedback

rampQS

Type: Ramp

combiTable1DsQS

Type: CombiTable1Ds

imcData

Type: AIM_SquirrelCageData