WOLFRAM SYSTEM MODELER

IMC_withLosses

Test example: InductionMachineSquirrelCage with losses

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Electrical.Machines.Examples.InductionMachines.IMC_withLosses"]
Out[1]:=

Information

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

  • Simulate for 5 seconds: The machine is started at nominal speed, flux is build up in the machine.
  • Continue the simulation for additional 5 seconds: Subsequently a load ramp is applied.
  • Compare by plotting versus Pmech:
Current I_sim I_meas
Speed w_sim w_meas
Power factor pf_sim pf_meas
Efficiency eff_sim eff_meas

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 (1)

aimcData

Value:

Type: IM_SquirrelCageData

Description: Induction machine data

Outputs (13)

Pmech

Default Value: powerSensor.power

Type: Power (W)

Description: Mechanical output

Ps_sim

Default Value: sqrt(3) * VNominal * I_sim * pf_sim

Type: Power (W)

Description: Simulated stator power

Ps_meas

Default Value: sqrt(3) * VNominal * I_meas * pf_meas

Type: Power (W)

Description: Simulated stator power

loss_sim

Default Value: Ps_sim - Pmech

Type: Power (W)

Description: Simulated total losses

loss_meas

Default Value: Ps_meas - Pmech

Type: Power (W)

Description: Measured total losses

I_sim

Default Value: currentQuasiRMSSensor.I

Type: Current (A)

Description: Simulated current

I_meas

Default Value: combiTable1Ds.y[1]

Type: Current (A)

Description: Measured current

w_sim

Default Value: aimc.wMechanical

Type: AngularVelocity (rad/s)

Description: Simulated speed

w_meas

Default Value: combiTable1Ds.y[2]

Type: AngularVelocity (rad/s)

Description: Measured speed

pf_sim

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

Type: Real

Description: Simulated power factor

pf_meas

Default Value: combiTable1Ds.y[3]

Type: Real

Description: Measured power factor

eff_sim

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

Type: Real

Description: Simulated efficiency

eff_meas

Default Value: combiTable1Ds.y[4]

Type: Real

Description: Measured efficiency

Components (16)

aimc

Type: IM_SquirrelCage

Description: Induction machine with squirrel cage rotor

terminalBox

Type: TerminalBox

Description: Terminal box Y/D-connection

electricalPowerSensor

Type: ElectricalPowerSensor

Description: Instantaneous power from space phasors

currentQuasiRMSSensor

Type: CurrentQuasiRMSSensor

Description: Length of space phasor -> RMS current

sineVoltage

Type: SineVoltage

Description: Polyphase sine voltage source

star

Type: Star

Description: Star-connection

ground

Type: Ground

Description: Ground node

powerSensor

Type: PowerSensor

Description: Ideal sensor to measure the power between two flanges (= flange_a.tau*der(flange_a.phi))

loadInertia

Type: Inertia

Description: 1D-rotational component with inertia

torque

Type: Torque

Description: Input signal acting as external torque on a flange

gain

Type: Gain

Description: Output the product of a gain value with the input signal

PI

Type: PI

Description: Proportional-Integral controller

feedback

Type: Feedback

Description: Output difference between commanded and feedback input

ramp

Type: Ramp

Description: Generate ramp signal

combiTable1Ds

Type: CombiTable1Ds

Description: Table look-up in one dimension (matrix/file) with one input and n outputs

aimcData

Type: IM_SquirrelCageData

Description: Induction machine data