WOLFRAM SYSTEM MODELER

IMC_DOL

Induction machine with squirrel cage started directly on line (DOL)

Diagram

Wolfram Language

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

Information

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

This example compares a time transient and a quasi-static model of a polyphase induction machine. At start time tOn a transient and a quasi-static polyphase voltage source are connected to an induction machine. The machine starts from standstill, accelerating inertias against load torque quadratic dependent on speed, finally reaching nominal speed.

Simulate for 1 second and plot (versus time):

  • currentRMSsensor.I|currentSensorQS.abs_i[1]: (equivalent) RMS stator current
  • imc|imcQS.wMechanical: machine speed
  • imc|imcQS.tauElectrical: machine torque

Parameters (9)

m

Value: 3

Type: Integer

Description: Number of phases

VsNominal

Value: 100

Type: Voltage (V)

Description: Nominal RMS voltage per phase

fNominal

Value: imc.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: 0.5

Type: Inertia (kg⋅m²)

Description: Load inertia

p

Value: 2

Type: Integer

Description: Number of pole pairs

imcData

Value:

Type: IM_SquirrelCageData

Description: Induction machine data

Outputs (2)

Itr

Default Value: currentQuasiRMSSensor.I

Type: Current (A)

Description: Transient RMS current

Iqs

Default Value: currentQuasiRMSSensorQS.I

Type: Current (A)

Description: QS RMS current

Components (27)

voltageSourceQS

Type: VoltageSource

Description: Constant polyphase AC voltage

starQS

Type: Star

Description: Star connection

groundQS

Type: Ground

Description: Electrical ground

powerSensorQS

Type: PowerSensor

Description: Power sensor

currentQuasiRMSSensorQS

Type: CurrentQuasiRMSSensor

Description: Continuous quasi current RMS sensor for polyphase system

idealCloserQS

Type: IdealClosingSwitch

Description: Polyphase ideal closer

booleanStepQS

Type: BooleanStep[m]

Description: Generate step signal of type Boolean

ground

Type: Ground

Description: Ground node

star

Type: Star

Description: Star-connection

cosineVoltage

Type: CosineVoltage

Description: Polyphase cosine voltage source

idealCloser

Type: IdealClosingSwitch

Description: Polyphase ideal closer

booleanStep

Type: BooleanStep[m]

Description: Generate step signal of type Boolean

currentQuasiRMSSensor

Type: CurrentQuasiRMSSensor

Description: Continuous quasi current RMS sensor for polyphase system

terminalBox

Type: MultiTerminalBox

Description: Terminal box Y/D-connection

imc

Type: IM_SquirrelCage

Description: Induction machine with squirrel cage

loadInertia

Type: Inertia

Description: 1D-rotational component with inertia

quadraticLoadTorque

Type: QuadraticSpeedDependentTorque

Description: Quadratic dependency of torque versus speed

powerSensor

Type: PowerSensor

Description: Polyphase instantaneous power sensor

loadInertiaQS

Type: Inertia

Description: 1D-rotational component with inertia

quadraticLoadTorqueQS

Type: QuadraticSpeedDependentTorque

Description: Quadratic dependency of torque versus speed

imcData

Type: IM_SquirrelCageData

Description: Induction machine data

imcQS

Type: IM_SquirrelCage

Description: Induction machine with squirrel cage

groundMachineQS

Type: Ground

Description: Electrical ground

starMachineQS

Type: Star

Description: Star connection

terminalBoxQS

Type: MultiTerminalBox

Description: Terminal box Y/D-connection

starMachine

Type: Star

Description: Star-connection

groundMachine

Type: Ground

Description: Ground node