WOLFRAM SYSTEM MODELER

IMS_Start_Polyphase

Starting of polyphase induction machine with slip rings

Diagram

Wolfram Language

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

Information

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

At start time tOn voltages are supplied to the induction machines with sliprings. The two machine start 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. 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 torque
  • aimsM|M3.wMechanical: machine speed
  • feedback.y: zero since difference of three-phase current phasor and scaled polyphase current phasor are equal

Parameters (11)

m

Value: 5

Type: Integer

Description: Number of stator phases

mr

Value: 5

Type: Integer

Description: Number of rotor phases

VsNominal

Value: 100

Type: Voltage (V)

Description: Nominal RMS voltage per phase

fNominal

Value: aimsData.fsNominal

Type: Frequency (Hz)

Description: Nominal frequency

tOn

Value: 0.1

Type: Time (s)

Description: Start time of machine

RStart

Value: 0.16 / aimsData.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

aimsData

Value:

Type: IM_SlipRingData

Description: Induction machine data

Components (25)

terminalBoxM

Type: TerminalBox

Description: Terminal box Y/D-connection

terminalBox3

Type: TerminalBox

Description: Terminal box Y/D-connection

aimsM

Type: IM_SlipRing

Description: Induction machine with slip ring rotor

aims3

Type: IM_SlipRing

Description: Induction machine with slip ring rotor

rheostatM

Type: SwitchedRheostat

Description: Rheostat which is shortened after a given time

rheostat3

Type: SwitchedRheostat

Description: Rheostat which is shortened after a given time

loadInertiaM

Type: Inertia

Description: 1D-rotational component with inertia

loadInertia3

Type: Inertia

Description: 1D-rotational component with inertia

quadraticLoadTorqueM

Type: QuadraticSpeedDependentTorque

Description: Quadratic dependency of torque versus speed

quadraticLoadTorque3

Type: QuadraticSpeedDependentTorque

Description: Quadratic dependency of torque versus speed

aimsData

Type: IM_SlipRingData

Description: Induction machine data

groundM

Type: Ground

Description: Ground node

starM

Type: Star

Description: Star-connection

sineVoltageM

Type: SineVoltage

Description: Polyphase sine voltage source

idealCloserM

Type: IdealClosingSwitch

Description: Polyphase ideal closer

booleanStepM

Type: BooleanStep[m]

Description: Generate step signal of type Boolean

currentRMSsensorM

Type: CurrentQuasiRMSSensor

Description: Continuous quasi current RMS sensor for polyphase system

ground3

Type: Ground

Description: Ground node

star3

Type: Star

Description: Star-connection

sineVoltage3

Type: SineVoltage

Description: Polyphase sine voltage source

idealCloser3

Type: IdealClosingSwitch

Description: Polyphase ideal closer

booleanStep3

Type: BooleanStep[m3]

Description: Generate step signal of type Boolean

currentRMSsensor3

Type: CurrentQuasiRMSSensor

Description: Length of space phasor -> RMS current

gain

Type: Gain

Description: Output the product of a gain value with the input signal

feedback

Type: Feedback

Description: Output difference between commanded and feedback input