WOLFRAM SYSTEM MODELER
IMC_withLossesInduction machine with squirrel cage and losses |
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Diagram
Wolfram Language
In[1]:=
SystemModel["Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_withLosses"]
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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)
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aimc |
Type: IM_SquirrelCage Description: Induction machine with squirrel cage |
|---|---|---|
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terminalBox |
Type: TerminalBox Description: Terminal box Y/D-connection |
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electricalPowerSensor |
Type: ElectricalPowerSensor Description: Instantaneous power from space phasors |
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currentQuasiRMSSensor |
Type: CurrentQuasiRMSSensor Description: Length of space phasor -> RMS current |
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sineVoltage |
Type: SineVoltage Description: Polyphase sine voltage source |
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star |
Type: Star Description: Star-connection |
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ground |
Type: Ground Description: Ground node |
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powerSensor |
Type: PowerSensor Description: Ideal sensor to measure the power between two flanges (= flange_a.tau*der(flange_a.phi)) |
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loadInertia |
Type: Inertia Description: 1D-rotational component with inertia |
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torque |
Type: Torque Description: Input signal acting as external torque on a flange |
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gain |
Type: Gain Description: Output the product of a gain value with the input signal |
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PI |
Type: PI Description: Proportional-Integral controller |
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feedback |
Type: Feedback Description: Output difference between commanded and feedback input |
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ramp |
Type: Ramp Description: Generate ramp signal |
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combiTable1Ds |
Type: CombiTable1Ds Description: Table look-up in one dimension (matrix/file) with one input and n outputs |
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aimcData |
Type: IM_SquirrelCageData Description: Induction machine data |