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WOLFRAM SYSTEM MODELER

IMS_Start

Starting of induction machine with slip rings

Diagram

Wolfram Language

In[1]:=

SystemModel["Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMS_Start"]

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 induction machine with sliprings. The machine starts from standstill, accelerating inertias against load torque quadratic dependent on speed, using a starting resistance. At time tRheostat external rotor resistance is shortened, finally reaching nominal speed.

Simulate for 1.5 seconds and plot (versus time):

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

Default machine parameters are used.

Parameters (11)

m	Value: 3 Type: Integer Description: Number of stator phases
mr	Value: 3 Type: Integer Description: Number of rotor phases
VsNominal	Value: 100 Type: Voltage (V) Description: Nominal RMS voltage per phase
fNominal	Value: ims.fsNominal Type: Frequency (Hz) Description: Nominal frequency
tOn	Value: 0.1 Type: Time (s) Description: Start time of machine
RStart	Value: 0.16 / imsData.turnsRatio ^ 2 Type: Resistance (Ω) Description: Starting resistance
tRheostat	Value: 1.0 Type: Time (s) Description: Time of shortening the rheostat
T_Load	Value: 161.4 Type: Torque (N⋅m) Description: Nominal load torque
w_Load	Value: Modelica.Units.Conversions.from_rpm(1440.45) Type: AngularVelocity (rad/s) Description: Nominal load speed
J_Load	Value: 0.29 Type: Inertia (kg⋅m²) Description: Load inertia
imsData	Value: Type: IM_SlipRingData 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

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 (29)

	ground	Type: Ground Description: Ground node
	star	Type: Star Description: Star-connection
	sineVoltage	Type: SineVoltage Description: Polyphase sine 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
	terminalBoxM	Type: MultiTerminalBox Description: Terminal box Y/D-connection
	terminalBoxQS	Type: MultiTerminalBox Description: Terminal box Y/D-connection
	ims	Type: IM_SlipRing Description: Induction machine with slip ring rotor
	imsQS	Type: IM_SlipRing Description: Induction machine with slip ring rotor
	rheostatM	Type: SwitchedRheostat Description: Rheostat which is shortened after a given time
	rheostatQS	Type: SwitchedRheostat Description: Rheostat which is shortened after a given time
	loadInertia	Type: Inertia Description: 1D-rotational component with inertia
	loadInertiaQS	Type: Inertia Description: 1D-rotational component with inertia
	quadraticLoadTorque	Type: QuadraticSpeedDependentTorque Description: Quadratic dependency of torque versus speed
	quadraticLoadTorqueQS	Type: QuadraticSpeedDependentTorque Description: Quadratic dependency of torque versus speed
	imsData	Type: IM_SlipRingData Description: Induction machine data
	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
	powerSensor	Type: PowerSensor Description: Polyphase instantaneous power sensor
	starMachineQS	Type: Star Description: Star connection
	groundMachineQS	Type: Ground Description: Electrical ground
	starMachine	Type: Star Description: Star-connection
	groundMachine	Type: Ground Description: Ground node