modelSMEE_Generator_Polyphase

Electrical excited polyphase synchronous machine operating as generator

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

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

TypeNameDefaultDescription
Integerm33Number of stator phases of three-phase system
Integerm5Number of stator phases
SI.VoltageVsNominal100Nominal RMS voltage per phase
SI.FrequencyfsNominalsmeeData.fsNominalNominal frequency
SI.AngularVelocitywModelica.Units.Conversions.from_rpm(1499)Nominal speed
SI.CurrentIe19Excitation current
SI.CurrentIe010Initial excitation current
SI.Anglegamma00Initial rotor displacement angle
Integerp2Number of pole pairs
SI.ResistanceRs0.03Warm stator resistance per phase
SI.InductanceLssigma0.1/(2*Modelica.Constants.pi*fsNominal)Stator stray inductance per phase
SI.InductanceLmd1.5/(2*Modelica.Constants.pi*fsNominal)Main field inductance in d-axis
SI.InductanceLmq1.5/(2*Modelica.Constants.pi*fsNominal)Main field inductance in q-axis
SI.InductanceLrsigmad0.05/(2*Modelica.Constants.pi*fsNominal)Damper stray inductance (equivalent three-phase winding) d-axis
SI.InductanceLrsigmaqLrsigmadDamper stray inductance (equivalent three-phase winding) q-axis
SI.ResistanceRrd0.04Warm damper resistance (equivalent three-phase winding) d-axis
SI.ResistanceRrqRrdWarm damper resistance (equivalent three-phase winding) q-axis
Modelica.Electrical.Machines.Utilities.SynchronousMachineDatasmeeDataSynchronous machine data

Components

TypeNameDefaultDescription
Modelica.Electrical.Polyphase.Basic.Starstar3
Modelica.Electrical.Analog.Basic.Groundground3
Modelica.Electrical.Polyphase.Sources.SineVoltagesineVoltage3
Modelica.Electrical.Polyphase.Sensors.PowerSensorelectricalPowerSensorM
Modelica.Electrical.Machines.Sensors.ElectricalPowerSensorelectricalPowerSensor3
Modelica.Electrical.Machines.Utilities.TerminalBoxterminalBoxM
Modelica.Electrical.Machines.Utilities.TerminalBoxterminalBox3
Magnetic.FundamentalWave.BasicMachines.SynchronousMachines.SM_ElectricalExcitedsmeeM
Magnetic.FundamentalWave.BasicMachines.SynchronousMachines.SM_ElectricalExcitedsmee3
Modelica.Electrical.Analog.Basic.GroundgroundRM
Modelica.Electrical.Analog.Basic.GroundgroundR3
Modelica.Electrical.Analog.Sources.RampCurrentrampCurrentM
Modelica.Electrical.Analog.Sources.RampCurrentrampCurrent3
Modelica.Electrical.Machines.Sensors.RotorDisplacementAnglerotorAngle3
Modelica.Electrical.Machines.Sensors.MechanicalPowerSensormechanicalPowerSensorM
Modelica.Electrical.Machines.Sensors.MechanicalPowerSensormechanicalPowerSensor3
Modelica.Mechanics.Rotational.Sources.ConstantSpeedconstantSpeedM
Modelica.Mechanics.Rotational.Sources.ConstantSpeedconstantSpeed3
Modelica.Electrical.Polyphase.Sensors.CurrentQuasiRMSSensorcurrentRMSsensorM
Modelica.Electrical.Machines.Sensors.CurrentQuasiRMSSensorcurrentRMSsensor3
Modelica.Blocks.Math.Gaingain
Modelica.Blocks.Math.Feedbackfeedback
Modelica.Electrical.Polyphase.Basic.StarstarM
Modelica.Electrical.Analog.Basic.GroundgroundM
Modelica.Electrical.Polyphase.Sources.SineVoltagesineVoltageM