WOLFRAM SYSTEM MODELER

SMEE_Generator_Polyphase

Electrical excited polyphase synchronous machine operating as generator

Diagram

Wolfram Language

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

Information

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

Electrical excited synchronous machine as generator

Two electrically excited synchronous generators are connected to grids and driven with constant speed. Since speed is slightly smaller than synchronous speed corresponding to mains frequency, rotor angle is very slowly increased. Two equivalent machines with different numbers of phases are compared and their equal behavior is demonstrated.

Simulate for 30 seconds and plot (versus rotorAngleM3.rotorDisplacementAngle):

  • 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 (17)

m

Value: 5

Type: Integer

Description: Number of stator phases

VsNominal

Value: 100

Type: Voltage (V)

Description: Nominal RMS voltage per phase

fsNominal

Value: smeeData.fsNominal

Type: Frequency (Hz)

Description: Nominal frequency

w

Value: Modelica.Units.Conversions.from_rpm(1499)

Type: AngularVelocity (rad/s)

Description: Nominal speed

Ie

Value: 19

Type: Current (A)

Description: Excitation current

Ie0

Value: 10

Type: Current (A)

Description: Initial excitation current

gamma0

Value: 0

Type: Angle (rad)

Description: Initial rotor displacement angle

p

Value: 2

Type: Integer

Description: Number of pole pairs

Rs

Value: 0.03

Type: Resistance (Ω)

Description: Warm stator resistance per phase

Lssigma

Value: 0.1 / (2 * Modelica.Constants.pi * fsNominal)

Type: Inductance (H)

Description: Stator stray inductance per phase

Lmd

Value: 1.5 / (2 * Modelica.Constants.pi * fsNominal)

Type: Inductance (H)

Description: Main field inductance in d-axis

Lmq

Value: 1.5 / (2 * Modelica.Constants.pi * fsNominal)

Type: Inductance (H)

Description: Main field inductance in q-axis

Lrsigmad

Value: 0.05 / (2 * Modelica.Constants.pi * fsNominal)

Type: Inductance (H)

Description: Damper stray inductance (equivalent three-phase winding) d-axis

Lrsigmaq

Value: Lrsigmad

Type: Inductance (H)

Description: Damper stray inductance (equivalent three-phase winding) q-axis

Rrd

Value: 0.04

Type: Resistance (Ω)

Description: Warm damper resistance (equivalent three-phase winding) d-axis

Rrq

Value: Rrd

Type: Resistance (Ω)

Description: Warm damper resistance (equivalent three-phase winding) q-axis

smeeData

Value:

Type: SynchronousMachineData

Description: Synchronous machine data

Components (26)

star3

Type: Star

Description: Star-connection

ground3

Type: Ground

Description: Ground node

sineVoltage3

Type: SineVoltage

Description: Polyphase sine voltage source

electricalPowerSensorM

Type: PowerSensor

Description: Polyphase instantaneous power sensor

electricalPowerSensor3

Type: ElectricalPowerSensor

Description: Instantaneous power from space phasors

terminalBoxM

Type: TerminalBox

Description: Terminal box Y/D-connection

terminalBox3

Type: TerminalBox

Description: Terminal box Y/D-connection

smeeM

Type: SM_ElectricalExcited

Description: Electrical excited synchronous machine with optional damper cage

smee3

Type: SM_ElectricalExcited

Description: Electrical excited synchronous machine with optional damper cage

groundRM

Type: Ground

Description: Ground node

groundR3

Type: Ground

Description: Ground node

rampCurrentM

Type: RampCurrent

Description: Ramp current source

rampCurrent3

Type: RampCurrent

Description: Ramp current source

rotorAngle3

Type: RotorDisplacementAngle

Description: Rotor lagging angle

mechanicalPowerSensorM

Type: MechanicalPowerSensor

Description: Mechanical power = torque x speed

mechanicalPowerSensor3

Type: MechanicalPowerSensor

Description: Mechanical power = torque x speed

constantSpeedM

Type: ConstantSpeed

Description: Constant speed, not dependent on torque

constantSpeed3

Type: ConstantSpeed

Description: Constant speed, not dependent on torque

smeeData

Type: SynchronousMachineData

Description: Synchronous machine data

currentRMSsensorM

Type: CurrentQuasiRMSSensor

Description: Continuous quasi current RMS sensor for polyphase system

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

starM

Type: Star

Description: Star-connection

groundM

Type: Ground

Description: Ground node

sineVoltageM

Type: SineVoltage

Description: Polyphase sine voltage source