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

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