Modelica.Magnetic.FundamentalWave.Examples.BasicMachines

Examples of machines of the FundamentalWave library

Information

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

Package Content

Name	Description
AIMC_DOL	Direct on line (DOL) start of asynchronous induction machine with squirrel cage
AIMC_DOL_MultiPhase	Direct on line start of multi phase asynchronous induction machine with squirrel cage
AIMC_YD	Asynchronous induction machine with squirrel cage starting Y-D
AIMC_Transformer	Asynchronous induction machine with squirrel cage starting with transformer
AIMC_Inverter	Asynchronous induction machine with squirrel cage and inverter
AIMC_Conveyor	Asynchronous induction machine with squirrel cage and inverter driving a conveyor
AIMC_Steinmetz	Asynchronous induction machine with squirrel cage and Steinmetz-connection
AIMC_withLosses	Asynchronous induction machine with squirrel cage and losses
AIMC_Initialize	Steady-state initialization of 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
SMPM_CurrentSource	Test example: PermanentMagnetSynchronousInductionMachine fed by current source
SMPM_VoltageSource	Test example: PermanentMagnetSynchronousInductionMachine fed by FOC
SMPM_Braking	Test example: PermanentMagnetSynchronousInductionMachine acting as brake
SMEE_DOL	ElectricalExcitedSynchronousInductionMachine starting direct on line
SMEE_Generator_MultiPhase	Electrical excited multi phase synchronous machine operating as generator
SMEE_Generator	Electrical excited synchronous machine operating as generator
SMEE_LoadDump	Test example: ElectricalExcitedSynchronousInductionMachine with voltage controller
SMEE_Rectifier	Test example: ElectricalExcitedSynchronousInductionMachine with rectifier
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

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

Information

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

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

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

Direct on line start of multi phase asynchronous induction machine with squirrel cage

Information

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

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

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.AIMC_YD

Asynchronous induction machine with squirrel cage starting Y-D

Information

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

Simulate for 2.5 seconds and plot (versus time):

currentQuasiRMSSensor.I: stator current RMS
aimc.wMechanical: motor's speed
aimc.tauElectrical: motor's torque

Default machine parameters are used.

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

Parameters

Name	Description
VNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
tStart1	Start time [s]
tStart2	Start time from Y to D [s]
TLoad	Nominal load torque [N.m]
wLoad	Nominal load speed [rad/s]
JLoad	Load's moment of inertia [kg.m2]
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_Transformer

Asynchronous induction machine with squirrel cage starting with transformer

Information

At start time tStart1 three phase voltage is supplied to the asynchronous induction machine with squirrel cage via the transformer; the machine starts from standstill, accelerating inertias against load torque quadratic dependent on speed; at start time tStart2 the machine is fed directly from the voltage source, finally reaching nominal speed.

Simulate for 2.5 seconds and plot (versus time):

currentQuasiRMSSensor.I: stator current RMS
aimc.wMechanical: motor's speed
aimc.tauElectrical: motor's torque

Default machine parameters are used.

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

Parameters

Name	Description
VNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
tStart1	Start time [s]
tStart2	Start time of bypass transformer [s]
TLoad	Nominal load torque [N.m]
wLoad	Nominal load speed [rad/s]
JLoad	Load's moment of inertia [kg.m2]
transformerData
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_Inverter

Asynchronous induction machine with squirrel cage and inverter

Information

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

Simulate for 1.5 seconds and plot (versus time):

currentQuasiRMSSensor.I: stator current RMS
aimc.wMechanical: motor's speed
aimc.tauElectrical: motor's torque

Default machine parameters are used.

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

Parameters

Name	Description
VNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
f	Maximum operational frequency [Hz]
tRamp	Frequency ramp [s]
TLoad	Nominal load torque [N.m]
tStep	Time of load torque step [s]
JLoad	Load's moment of inertia [kg.m2]
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_Conveyor

Asynchronous induction machine with squirrel cage and inverter driving a conveyor

Information

An ideal frequency inverter is modeled by using a VfController and a three-phase SignalVoltage. Frequency is driven by a load cycle of acceleration, constant speed, deceleration and standstill. The mechanical load is a constant torque like a conveyor (with regularization around zero speed).

Simulate for 20 seconds and plot (versus time):

currentQuasiRMSSensor.I: stator current RMS
aimc.wMechanical: motor's speed
aimc.tauElectrical: motor's torque

Default machine parameters are used.

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

Parameters

Name	Description
VNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
wNominal	Nominal speed [rad/s]
TLoad	Nominal load torque [N.m]
JLoad	Load's moment of inertia [kg.m2]
r	Transmission radius [m]
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_Steinmetz

Asynchronous induction machine with squirrel cage and Steinmetz-connection

Information

At start time tStart single 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.

Default machine parameters are used.

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

Parameters

Name	Description
VNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
tStart1	Start time [s]
Cr	Motor's running capacitor [F]
Cs	Motor's (additional) starting capacitor [F]
wSwitch	Speed for switching off the starting capacitor [rad/s]
TLoad	Nominal load torque [N.m]
wLoad	Nominal load speed [rad/s]
JLoad	Load's moment of inertia [kg.m2]
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_withLosses

Asynchronous induction machine with squirrel cage and losses

Information

Simulate for 5 seconds: The machine is started at nominal speed, flux is build up in the machine.
Continue the simulation for additional 5 seconds: Subsequently a load ramp is applied.
Compare by plotting versus Pmech:

Current	I_sim	I_meas
Speed	w_sim	w_meas
Power factor	pf_sim	pf_meas
Efficiency	eff_sim	eff_meas

Machine parameters are taken from a standard 18.5 kW 400 V 50 Hz motor, simulation results are compared with measurements.

Nominal stator current	32.85	A
Power factor	0.898
Speed	1462.5	rpm
Electrical input	20,443.95	W
Stator copper losses	770.13	W
Stator core losses	410.00	W
Rotor copper losses	481.60	W
Stray load losses	102.22	W
Friction losses	180.00	W
Mechanical output	18,500.00	W
Efficiency	90.49	%
Nominal torque	120.79	Nm

Stator resistance per phase	0.56	Ω
Temperature coefficient	copper
Reference temperature	20	°C
Operation temperature	90	°C
Stator leakage reactance at 50 Hz	1.52	Ω
Main field reactance at 50 Hz	66.40	Ω
Rotor leakage reactance at 50 Hz	2.31	Ω
Rotor resistance per phase	0.42	Ω
Temperature coefficient	aluminium
Reference temperature	20	°C
Operation temperature	90	°C

See:
Anton Haumer, Christian Kral, Hansjörg Kapeller, Thomas Bäuml, Johannes V. Gragger
The AdvancedMachines Library: Loss Models for Electric Machines
Modelica 2009, 7^th International Modelica Conference

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

Parameters

Name	Description
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMC_Initialize

Steady-state initialization of asynchronous induction machine with squirrel cage

Information

The asynchronous induction machine with squirrel cage is initialized in steady-state at no-load; at time tStart a load torque step is applied.

Simulate for 1.5 seconds and plot (versus time):

currentQuasiRMSSensor.I: stator current RMS
aimc.wMechanical: motor's speed
aimc.tauElectrical: motor's torque

Default machine parameters are used.

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

Parameters

Name	Description
VNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
wSync	[rad/s]
tStart	Start time [s]
TLoad	Nominal load torque [N.m]
wLoad	Nominal load speed [rad/s]
JLoad	Load's moment of inertia [kg.m2]
aimcData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.AIMS_Start

Starting of asynchronous induction machine with slip rings

Information

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

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

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

Starting of multi phase asynchronous induction machine with slip rings

Information

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

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

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

Starting of permanent magnet synchronous machine with 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

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

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

Starting of multi phase permanent magnet synchronous machine with inverter

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

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

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.SMPM_CurrentSource

Test example: PermanentMagnetSynchronousInductionMachine fed by current source

Information

A synchronous induction machine with permanent magnets accelerates a quadratic speed dependent load from standstill. The rms values of d- and q-current in rotor fixed coordinate system are converted to three-phase currents, and fed to the machine. The result shows that the torque is influenced by the q-current, whereas the stator voltage is influenced by the d-current.

Default machine parameters are used.

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

Parameters

Name	Description
Idq[2]	Desired d- and q-current [A]
wNominal	Nominal speed [rad/s]
TLoad	Nominal load torque [N.m]
JLoad	Load's moment of inertia [kg.m2]
smpmData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMPM_VoltageSource

Test example: PermanentMagnetSynchronousInductionMachine fed by FOC

Information

A synchronous induction machine with permanent magnets accelerates a quadratic speed dependent load from standstill. The rms values of d- and q-current in rotor fixed coordinate system are controlled by the voltageController, and the output voltages fed to the machine. The result shows that the torque is influenced by the q-current, whereas the stator voltage is influenced by the d-current.

Default machine parameters are used

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

Parameters

Name	Description
Idq[2]	Desired d- and q-current [A]
wNominal	Nominal speed [rad/s]
TLoad	Nominal load torque [N.m]
JLoad	Load's moment of inertia [kg.m2]
smpmData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMPM_Braking

Test example: PermanentMagnetSynchronousInductionMachine acting as brake

Information

A synchronous induction machine with permanent magnets starts braking from nominal speed by feeding a diode bridge, which in turn feeds a braking resistor. Since induced voltage is reduced proportional to falling speed, the braking resistance is set proportional to speed to achieve constant current and torque.

Default machine parameters are used

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

Parameters

Name	Description
R	Nominal braking resistance [Ohm]
wNominal	Nominal speed [rad/s]
JLoad	Load's moment of inertia [kg.m2]
smpmData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMEE_DOL

ElectricalExcitedSynchronousInductionMachine starting direct on line

Information

An electrically excited synchronous generator is started direct on line utilizing the damper cage (and the shorted excitation winding) at 0 seconds.

At t = 0.5 seconds, the excitation voltage is raised to achieve the no-load excitation current. Note, that reactive power of the stator goes to zero.

At t = 2 second, a driving torque step is applied to the shaft (i.e. the turbine is activated). Note, that the active (and the reactive) power of the stator change. To drive at higher torque, i.e., produce more electric power, excitation has to be adapted.

Simulate for 3 seconds and plot:

smee.tauElectrical: electric torque
smee.wMechanical: mechanical speed
currentRMSSensor.I: quasi RMS stator current
irRMS: quasi RMS rotor current
smee.ie: excitation current
rotorDisplacementAngle.rotorDisplacementAngle: rotor displacement angle
electricalSensor.powerTotal: total electric real power
mechanicalSensor.power: mechanical power

Default machine parameters are used.

Note

The mains switch is closed at time = 0 in order to avoid non physical noise calculated by the rotorDisplacementAngle. This noise is caused by the interaction of the high resistance of the switch and the machine, see #2388.

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

Parameters

Name	Description
m	Number of phases
VNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
Ve	Excitation current [V]
gamma0	Initial rotor displacement angle [rad]
smeeData

Connectors

Name	Description
irRMS	Damper cage RMS current [A]

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMEE_Generator_MultiPhase

Electrical excited multi phase synchronous machine operating as generator

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

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

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.SMEE_Generator

Electrical excited synchronous machine operating as 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

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

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_LoadDump

Test example: ElectricalExcitedSynchronousInductionMachine with voltage controller

Information

An electrically excited synchronous generator is started with a speed ramp, then driven with constant speed. Voltage is controlled, the set point depends on speed. After start-up the generator is loaded, the load is rejected.

Simulate for 10 seconds and plot:

voltageQuasiRMSSensor.V
smee.tauElectrical
smee.ie

Default machine parameters are used

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

Parameters

Name	Description
wNominal	Nominal speed [rad/s]
ZNominal	Nominal load impedance [Ohm]
powerFactor	Load power factor
RLoad	Load resistance [Ohm]
LLoad	Load inductance [H]
Ve0	No load excitation voltage [V]
k	Voltage controller: gain
Ti	Voltage controller: integral time constant [s]
smeeData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMEE_Rectifier

Test example: ElectricalExcitedSynchronousInductionMachine with rectifier

Information

An electrically excited synchronous generator is driven with constant speed. Voltage is controlled, the set point depends on speed. The generator is loaded with a rectifier.

Default machine parameters are used

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

Parameters

Name	Description
wNominal	Nominal speed [rad/s]
VDC0	No-load DC voltage [V]
RLoad	Load resistance [Ohm]
Ve0	No load excitation voltage [V]
k	Voltage controller: gain
Ti	Voltage controller: integral time constant [s]
smeeData

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.SMR_Inverter

Starting of synchronous reluctance machine with 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

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

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

Starting of multi phase synchronous reluctance machine with inverter

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

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

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

Automatically generated Thu Dec 19 17:20:04 2019.