WOLFRAM SYSTEM MODELER
IMC_DOL_PolyphaseDirect on line start of polyphase induction machine with squirrel cage |
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Diagram
Wolfram Language
In[1]:=
SystemModel["Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.InductionMachines.ComparisonPolyphase.IMC_DOL_Polyphase"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
At start time tStart voltages are supplied to the polyphase induction machines with squirrel cage. The machines starts from standstill, accelerating inertias against load torque quadratic dependent on speed, finally reaching nominal speed. Two equivalent machines with different numbers of phases are compared and their equal behavior is demonstrated.
Simulate for 1.5 seconds and plot (versus time):
aimcM|M3.tauElectrical: machine torqueaimsM/M3.wMechanical: machine speedfeedback.y: zero since difference of three-phase current phasor and scaled polyphase current phasor are equal
Parameters (9)
| m |
Value: 5 Type: Integer Description: Number of stator phases |
|---|---|
| VsNominal |
Value: 100 Type: Voltage (V) Description: Nominal RMS voltage per phase |
| fNominal |
Value: aimcData.fsNominal Type: Frequency (Hz) Description: Nominal frequency |
| tOn |
Value: 0.1 Type: Time (s) Description: Start time of machine |
| T_Load |
Value: 161.4 Type: Torque (N⋅m) Description: Nominal load torque |
| w_Load |
Value: 1440.45 * 2 * Modelica.Constants.pi / 60 Type: AngularVelocity (rad/s) Description: Nominal load speed |
| J_Load |
Value: 0.29 Type: Inertia (kg⋅m²) Description: Load inertia |
| p |
Value: 2 Type: Integer Description: Number of pole pairs |
| aimcData |
Value: Type: IM_SquirrelCageData Description: Induction machine data |
Components (23)
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groundM |
Type: Ground Description: Ground node |
|---|---|---|
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starM |
Type: Star Description: Star-connection |
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sineVoltageM |
Type: SineVoltage Description: Polyphase sine voltage source |
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idealCloserM |
Type: IdealClosingSwitch Description: Polyphase ideal closer |
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booleanStepM |
Type: BooleanStep[m] Description: Generate step signal of type Boolean |
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currentRMSsensorM |
Type: CurrentQuasiRMSSensor Description: Continuous quasi current RMS sensor for polyphase system |
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terminalBoxM |
Type: TerminalBox Description: Terminal box Y/D-connection |
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aimcM |
Type: IM_SquirrelCage Description: Induction machine with squirrel cage |
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loadInertiaM |
Type: Inertia Description: 1D-rotational component with inertia |
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quadraticLoadTorqueM |
Type: QuadraticSpeedDependentTorque Description: Quadratic dependency of torque versus speed |
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aimcData |
Type: IM_SquirrelCageData Description: Induction machine data |
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ground3 |
Type: Ground Description: Ground node |
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star3 |
Type: Star Description: Star-connection |
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sineVoltage3 |
Type: SineVoltage Description: Polyphase sine voltage source |
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idealCloser3 |
Type: IdealClosingSwitch Description: Polyphase ideal closer |
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booleanStep3 |
Type: BooleanStep[m3] Description: Generate step signal of type Boolean |
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currentRMSsensor3 |
Type: CurrentQuasiRMSSensor Description: Length of space phasor -> RMS current |
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terminalBox3 |
Type: TerminalBox Description: Terminal box Y/D-connection |
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aimc3 |
Type: IM_SquirrelCage Description: Induction machine with squirrel cage |
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loadInertia3 |
Type: Inertia Description: 1D-rotational component with inertia |
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quadraticLoadTorque3 |
Type: QuadraticSpeedDependentTorque Description: Quadratic dependency of torque versus speed |
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gain |
Type: Gain Description: Output the product of a gain value with the input signal |
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feedback |
Type: Feedback Description: Output difference between commanded and feedback input |