Modelica.Magnetic.FundamentalWave.Examples.BasicMachines

Information

Package Content

Name	Description
AIMC_DOL	Direct on line start of asynchronous induction machine with squirrel cage
AIMC_DOL_MultiPhase	Direct on line start of multi phase asynchronous induction machine with squirrel cage
AIMS_Start	Starting of asynchronous induction machine with slip rings
AIMS_Start_MultiPhase	Starting of multi phase asynchronous induction machine with slip rings
SMPM_Inverter	Starting of permanent magnet synchronous machine with inverter
SMPM_Inverter_MultiPhase	Starting of multi phase permanent magnet synchronous machine with inverter
SMEE_Generator	Electrical excited synchronous machine operating as generator
SMEE_Generator_MultiPhase	Electrical excited multi phase synchronous machine operating as generator
SMR_Inverter	Starting of synchronous reluctance machine with inverter
SMR_Inverter_MultiPhase	Starting of multi phase synchronous reluctance machine with inverter

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_DOL

Information

Direct on line (DOL) starting of an asynchronous induction machine with squirrel cage

At start time tStart three phase voltage is supplied to the asynchronous induction machine with squirrel cage. The machine starts from standstill, accelerating inertias against load torque quadratic dependent on speed, finally reaching nominal speed.

Simulate for 1.5 seconds and plot (versus time):

• currentRMSsensorM|E.I: equivalent RMS stator current
• aimcM|E.wMechanical: machine speed
• aimcM|E.tauElectrical: machine torque

Parameters

Name	Description
VsNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
tOn	Start time of machine [s]
T_Load	Nominal load torque [N.m]
w_Load	Nominal load speed [rad/s]
J_Load	Load inertia [kg.m2]
p	Number of pole pairs
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_DOL_MultiPhase

Information

Direct on line (DOL) starting of an asynchronous induction machine with squirrel cage

At start time tStart voltages are supplied to the multi phase asynchronous induction machines with squirrel cage. The machines starts from standstill, accelerating inertias against load torque quadratic dependent on speed, 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 multi phase current phasor are equal

Parameters

Name	Description
m	Number of stator phases
VsNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
tOn	Start time of machine [s]
T_Load	Nominal load torque [N.m]
w_Load	Nominal load speed [rad/s]
J_Load	Load inertia [kg.m2]
p	Number of pole pairs
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMS_Start

Information

Starting of an asynchronous induction machine with slipring rotor resistance starting

At start time tOn three phase voltage is supplied to the asynchronous 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):

• currentRMSsensorM|E.I: equivalent RMS stator current
• aimsM/E.wMechanical: machine speed
• aimsM|E.tauElectrical: machine torque

Parameters

Name	Description
VsNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
tOn	Start time of machine [s]
RStart	Starting resistance [Ohm]
tRheostat	Time of shortening the rheostat [s]
T_Load	Nominal load torque [N.m]
w_Load	Nominal load speed [rad/s]
J_Load	Load inertia [kg.m2]
aimsData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMS_Start_MultiPhase

Information

Starting of an asynchronous induction machine with slipring rotor resistance starting

At start time tOn voltages are supplied to the asynchronous 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 multi phase current phasor are equal

Parameters

Name	Description
m	Number of stator phases
mr	Number of rotor phases
VsNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
tOn	Start time of machine [s]
RStart	Starting resistance [Ohm]
tRheostat	Time of shortening the rheostat [s]
T_Load	Nominal load torque [N.m]
w_Load	Nominal load speed [rad/s]
J_Load	Load inertia [kg.m2]
aimsData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMPM_Inverter

Information

Permanent magnet synchronous induction machine fed by an ideal inverter

An ideal frequency inverter is modeled by using a VfController and a three-phase SignalVoltage. Frequency is raised by a ramp, causing the permanent magnet synchronous induction machine to start, and accelerate the inertias.

At time tStep a load step is applied. Simulate for 1.5 seconds and plot (versus time):

• currentRMSsensorM|E.I: equivalent RMS stator current
• smpmM|E.wMechanical: machine speed
• smpmM|E.tauElectrical: machine torque
• rotorAnglepmsmM|E.rotorDisplacementAngle: rotor displacement angle

Parameters

Name	Description
VsNominal	Nominal RMS voltage per phase [V]
fsNominal	Nominal frequency [Hz]
fKnee	Knee frequency of V/f curve [Hz]
tRamp	Frequency ramp [s]
T_Load	Nominal load torque [N.m]
tStep	Time of load torque step [s]
J_Load	Load inertia [kg.m2]
smpmData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMPM_Inverter_MultiPhase

Information

Permanent magnet synchronous induction machine fed by an ideal inverter

An ideal frequency inverter is modeled by using VfControllers and SignalVoltagess. Frequency is raised by a ramp, causing the permanent magnet synchronous induction machines to start, and accelerate the inertias. Two equivalent machines with different numbers of phases are compared and their equal behavior is demonstrated.

At time tStep a load step is applied. 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 multi phase current phasor are equal

Parameters

Name	Description
m	Number of stator phases
VsNominal	Nominal RMS voltage per phase [V]
fsNominal	Nominal frequency [Hz]
fKnee	Knee frequency of V/f curve [Hz]
tRamp	Frequency ramp [s]
T_Load	Nominal load torque [N.m]
tStep	Time of load torque step [s]
J_Load	Load inertia [kg.m2]
smpmData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMEE_Generator

Information

Electrical excited synchronous induction machine as generator

An electrically excited synchronous generator is 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 rotorAngleM.rotorDisplacementAngle):

• speedM|E.tauElectrical: machine torque
• mechanicalPowerSensorM|E.P: mechanical power

Parameters

Name	Description
VsNominal	Nominal RMS voltage per phase [V]
fsNominal	Nominal frequency [Hz]
w	Nominal speed [rad/s]
Ie	Excitation current [A]
Ie0	Initial excitation current [A]
gamma0	Initial rotor displacement angle [rad]
p	Number of pole pairs
Rs	Warm stator resistance per phase [Ohm]
Lssigma	Stator stray inductance per phase [H]
Lmd	Main field inductance in d-axis [H]
Lmq	Main field inductance in q-axis [H]
Lrsigmad	Damper stray inductance (equivalent three phase winding) d-axis [H]
Lrsigmaq	Damper stray inductance (equivalent three phase winding) q-axis [H]
Rrd	Warm damper resistance (equivalent three phase winding) d-axis [Ohm]
Rrq	Warm damper resistance (equivalent three phase winding) q-axis [Ohm]
smeeData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMEE_Generator_MultiPhase

Information

Electrical excited synchronous induction 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 multi phase current phasor are equal

Parameters

Name	Description
m	Number of stator phases
VsNominal	Nominal RMS voltage per phase [V]
fsNominal	Nominal frequency [Hz]
w	Nominal speed [rad/s]
Ie	Excitation current [A]
Ie0	Initial excitation current [A]
gamma0	Initial rotor displacement angle [rad]
p	Number of pole pairs
Rs	Warm stator resistance per phase [Ohm]
Lssigma	Stator stray inductance per phase [H]
Lmd	Main field inductance in d-axis [H]
Lmq	Main field inductance in q-axis [H]
Lrsigmad	Damper stray inductance (equivalent three phase winding) d-axis [H]
Lrsigmaq	Damper stray inductance (equivalent three phase winding) q-axis [H]
Rrd	Warm damper resistance (equivalent three phase winding) d-axis [Ohm]
Rrq	Warm damper resistance (equivalent three phase winding) q-axis [Ohm]
smeeData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMR_Inverter

Information

Synchronous induction machine with reluctance rotor fed by an ideal inverter

An ideal frequency inverter is modeled by using a VfController and a three-phase SignalVoltage. Frequency is raised by a ramp, causing the reluctance machine to start, and accelerating inertias. At time tStep a load step is applied.

Simulate for 1.5 seconds and plot (versus time):

• currentRMSsensorM|E.I: equivalent RMS stator current
• smrM|E.wMechanical: machine speed
• smrM|E.tauElectrical: machine torque
• rotorAngleM|R.rotorDisplacementAngle: rotor displacement angle

Parameters

Name	Description
VsNominal	Nominal RMS voltage per phase [V]
fsNominal	Nominal frequency [Hz]
fKnee	Knee frequency of V/f curve [Hz]
tRamp	Frequency ramp [s]
T_Load	Nominal load torque [N.m]
tStep	Time of load torque step [s]
J_Load	Load inertia [kg.m2]
smrData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMR_Inverter_MultiPhase

Information

Synchronous induction machine with reluctance rotor fed by an ideal inverter

Ideal frequency inverters are modeled by using a VfController and phase SignalVoltages. Frequency is raised by a ramp, causing the reluctance machine to start, and accelerating inertias. At time tStep a load step is applied. 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 multi phase current phasor are equal

Parameters

Name	Description
m	Number of stator phases
VsNominal	Nominal RMS voltage per phase [V]
fsNominal	Nominal frequency [Hz]
fKnee	Knee frequency of V/f curve [Hz]
tRamp	Frequency ramp [s]
T_Load	Nominal load torque [N.m]
tStep	Time of load torque step [s]
J_Load	Load inertia [kg.m2]
smrData