Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.InductionMachines

Induction machines examples

Information

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

Package Content

Name	Description
ComparisonPolyphase	Compare polyphase machines with three-phase machines
IMC_DOL	Direct on line (DOL) start of induction machine with squirrel cage
IMC_YD	Induction machine with squirrel cage starting Y-D
IMC_Transformer	Induction machine with squirrel cage starting with transformer
IMC_Inverter	Induction machine with squirrel cage and inverter
IMC_Conveyor	Induction machine with squirrel cage and inverter driving a conveyor
IMC_Steinmetz	Induction machine with squirrel cage and Steinmetz-connection
IMC_withLosses	Induction machine with squirrel cage and losses
IMC_Initialize	Steady-state initialization of induction machine with squirrel cage
IMS_Start	Starting of induction machine with slip rings

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

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

Information

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

Modelica.Magnetic.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]
aimcData	Induction machine data

Modelica.Magnetic.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
aimcData	Induction machine data

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_Inverter

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 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	Induction machine data

Modelica.Magnetic.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.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	Induction machine data

Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.InductionMachines.IMC_Steinmetz

Induction machine with squirrel cage and Steinmetz-connection

Information

At start time tStart single-phase voltage is supplied to the 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	Induction machine data

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

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	Induction machine data

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

Steady-state initialization of induction machine with squirrel cage

Information

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 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	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]
aimcData	Induction machine data

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

Starting of induction machine with slip rings

Information

At start time tOn three-phase voltage is supplied to the 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	Induction machine data

Automatically generated Thu Oct 1 16:07:50 2020.