Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines

Synchronous machine examples

Information

Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).

Package Content

Name	Description
SMPM_OpenCircuit	Test example: PermanentMagnetSynchronousMachine with inverter
SMPM_Mains	Permanent magnet synchronous machine operated at mains with step torque load
SMPM_CurrentSource	Test example: PermanentMagnetSynchronousMachine fed by current source
SMPM_MTPA	Test example: PermanentMagnetSynchronousMachine, investigating maximum torque per Amps
SMEE_Generator	Electrical excited synchronous machine operating as generator
SMR_CurrentSource	Test example: Synchronous reluctance machine fed by current source

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.SMPM_OpenCircuit

Test example: PermanentMagnetSynchronousMachine with inverter

Information

This example compares a time transient and a quasi static model of a permanent magnet synchronous machine. The machines are operated at constant mechanical angular velocity.

Simulate for 0.1 second and plot (versus time):

• potentialSenor.phi|potentialSensorQS.abs_y[1]: potential of terminal

Note

The resistors connected to the terminals of the windings of the quasi static machine model are necessary to numerically stabilize the simulation.

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

Parameters

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.SMPM_Mains

Permanent magnet synchronous machine operated at mains with step torque load

Information

This example compares a time transient and a quasi static model of a permanent magnet synchronous machine. The machines start with zero load and synchronous speed. At time tStep the machines are loaded with nominal torque.

Simulate for 1 second and plot (versus time):

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

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

Parameters

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.SMPM_CurrentSource

Test example: PermanentMagnetSynchronousMachine fed by current source

Information

This example compares a time transient and a quasi static model of a permanent magnet synchronous machine. The machines are fed by a current source. The current components are oriented at the magnetic field orientation and transformed to the stator fixed reference frame. This way the machines are operated at constant torque. The machines start to accelerate from standstill.

Simulate for 2 seconds and plot (versus time):

• smpm|smpmQS.wMechanical: machine speed
• smpm|smpmQS.tauElectrical: machine torque

Note

The resistors connected to the terminals of the windings of the quasi static machine model are necessary to numerically stabilize the simulation.

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

Parameters

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.SMPM_MTPA

Test example: PermanentMagnetSynchronousMachine, investigating maximum torque per Amps

Information

This example investigates the maximum torque per amps (MTPA) of a quasi static permanent magnet synchronous machine. The machines is operated at constant speed. The current magnitude is kept constant and the current angle is rotated from 0 to 360 degrees with the simulation period of one second.

In this simulation the angle is the following angles are calculated:

• phi_v = angle of voltage phasor
• phi_i = angle of current phasor
• phiphi_v - phi_i = angle between voltage and current phasor
• theta = rotor displacement angle
• epsilon = phi - theta = current angle

Simulate for 1 second and plot (versus angle epsilon):

• smpmQS.tauElectrical: machine torque
• smpmQS.abs_vs[1]: machine phase voltage magnitude
• phi: phase angle between voltage and current phasor

Note

The resistors connected to the terminals of the windings of the quasi static machine model are necessary to numerically stabilize the simulation.

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

Parameters

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.SMEE_Generator

Electrical excited synchronous machine operating as generator

Information

This example compares a time transient and a quasi static model of a electrically excited synchronous machine. The electrically excited synchronous generators are connected to the grid and driven with constant speed. Since speed is slightly smaller than synchronous speed corresponding to mains frequency, rotor angle is very slowly increased. This allows to see several characteristics dependent on rotor angle.

Simulate for 30 seconds and plot versus rotorAngle|rotorAngleQS.rotorDisplacementAngle:

• smpm|smpmQS.tauElectrical: machine torque

Since the rotor slip is very low the transient and quasi static electro magnetic torque are practically equal.

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

Parameters

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines.SMR_CurrentSource

Test example: Synchronous reluctance machine fed by current source

Information

This example compares a time transient and a quasi static model of a synchronous reluctance machine. The machines are fed by a current source. The current components are oriented at the magnetic field orientation and transformed to the stator fixed reference frame. This way the machines are operated at constant torque. The machines start to accelerate from standstill.

Simulate for 2 seconds and plot (versus time):

• smpm|smpmQS.wMechanical: machine speed
• smpm|smpmQS.tauElectrical: machine torque

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

Parameters