Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines

Induction machine examples

Information

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

Package Content

Name	Description
IMC_Characteristics	Characteristic curves of Induction machine with squirrel cage
IMC_DOL	Induction machine with squirrel cage started directly on line (DOL)
IMC_YD	Induction machine with squirrel cage starting Y-D
IMC_Transformer	Induction machine with squirrel cage starting with transformer
IMC_Conveyor	Induction machine with squirrel cage and inverter driving a conveyor
IMC_withLosses	Induction machine with squirrel cage and losses
IMC_Initialize	Steady-state initialization of induction machine with squirrel cage
IMS_Characteristics	Characteristic curves of induction machine with slip rings
IMS_Start	Starting of induction machine with slip rings

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_Characteristics

Characteristic curves of Induction machine with squirrel cage

Information

This examples allows the investigation of characteristic curves of quasi-static polyphase induction machines with squirrel cage rotor as a function of rotor speed.

Simulate for 1 second and plot (versus imcQS.wMechanical or perUnitSpeed):

currentSensorQS.abs_i[1]: (equivalent) RMS stator current
imcQS.tauElectrical: machine torque
imcQS.powerBalance.powerStator: stator power
imcQS.powerBalance.powerMechanical: mechanical power

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

Parameters

Name	Description
m	Number of phases
VsNominal	Nominal RMS voltage per phase [V]
fNominal	Nominal frequency [Hz]
w_Load	Nominal load speed [rad/s]
p	Number of pole pairs
imcData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_DOL

Induction machine with squirrel cage started directly on line (DOL)

Information

This example compares a time transient and a quasi-static model of a polyphase induction machine. At start time tOn a transient and a quasi-static polyphase voltage source are connected to an induction machine. The machine starts from standstill, accelerating inertias against load torque quadratic dependent on speed, finally reaching nominal speed.

Simulate for 1 second and plot (versus time):

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

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

Parameters

Name	Description
m	Number of 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
imcData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_YD

Induction machine with squirrel cage starting Y-D

Information

At start time tStart three-phase voltage is supplied to the 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]
imcData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_Transformer

Induction machine with squirrel cage starting with transformer

Information

At start time tStart1 three-phase voltage is supplied to the 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	Transformer data
imcData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_Conveyor

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|currentQuasiRMSSensorQS.I: stator current RMS
imc|imcQS.wMechanical: machine speed
imc|imcQS.tauElectrical: machine torque

Default machine parameters are used.

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]
wNominal	Nominal speed [rad/s]
TLoad	Nominal load torque [N.m]
JLoad	Load's moment of inertia [kg.m2]
r	Transmission radius [m]
imcData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_withLosses

Induction machine with squirrel cage and losses

Information

Simulate for 10 seconds: The machine is started at nominal speed, subsequently a load ramp is applied.
Compare by plotting versus PmechQS:

Current	I_simQS	I_measQS
Speed	w_simQS	w_measQS
Power factor	pf_simQS	pf_measQS
Efficiency	eff_simQS	eff_measQS

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
PNominal	Nominal output [W]
VNominal	Nominal RMS voltage [V]
INominal	Nominal RMS current [A]
pfNominal	Nominal power factor
PsNominal	Nominal stator power [W]
lossNominal	Nominal losses [W]
etaNominal	Nominal efficiency
fNominal	Nominal frequency [Hz]
wNominal	Nominal speed [rad/s]
TNominal	Nominal torque [N.m]
TempNominal	Nominal temperature [K]
imcData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_Initialize

Steady-state initialization of induction machine with squirrel cage

Information

Test example: Steady-State Initialization of an induction machine with squirrel cage
The 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 of model IM_SquirrelCage are used.

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]
wSync	Synchronous speed [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]
imcData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMS_Characteristics

Characteristic curves of induction machine with slip rings

Information

This examples allows the investigation of characteristic curves of quasi-static polyphase induction machines with slip ring rotor as a function of rotor speed.

Simulate for 1 second and plot (versus imsQS.wMechanical or perUnitSpeed):

currentSensorQS.abs_i[1]: (equivalent) RMS stator current
imsQS.tauElectrical: machine torque
imscQS.powerBalance.powerStator: stator power
imsQS.powerBalance.powerMechanical: mechanical power

Default machine parameters are used. The rotor resistance may be varied to demonstrate the impact on the characteristic curves

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]
Rr	Starting resistance [Ohm]
p	Number of pole pairs
w_Load	Nominal load speed [rad/s]
imsData	Induction machine data

Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMS_Start

Starting of induction machine with slip rings

Information

This example compares a time transient and a quasi-static model of a polyphase induction machine. At start time tOn a transient and a quasi-static polyphase voltage source are connected to 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):

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

Default machine parameters are used.

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]
imsData	Induction machine data

Automatically generated Thu Oct 1 16:07:51 2020.