Compare polyphase machines with three-phase machines
Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).
Name | Description |
---|---|
SMPM_Inverter_Polyphase | Starting of polyphase permanent magnet synchronous machine with inverter |
SMEE_Generator_Polyphase | Electrical excited polyphase synchronous machine operating as generator |
SMR_Inverter_Polyphase | Starting of polyphase synchronous reluctance machine with inverter |
Starting of polyphase permanent magnet synchronous machine with inverter
An ideal frequency inverter is modeled by using VfControllers and SignalVoltagess. Frequency is raised by a ramp, causing the permanent magnet synchronous 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 torqueaimsM|M3.wMechanical
: machine speedfeedback.y
: zero since difference of three-phase current phasor and scaled polyphase current phasor are equalExtends from Modelica.Icons.Example (Icon for runnable examples).
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 | Synchronous machine data |
Electrical excited polyphase synchronous machine operating 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 torqueaimsM|M3.wMechanical
: machine speedfeedback.y
: zero since difference of three-phase current phasor and scaled polyphase current phasor are equalExtends from Modelica.Icons.Example (Icon for runnable examples).
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 | Synchronous machine data |
Starting of polyphase synchronous reluctance machine with 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 torqueaimsM|M3.wMechanical
: machine speedfeedback.y
: zero since difference of three-phase current phasor and scaled polyphase current phasor are equalExtends from Modelica.Icons.Example (Icon for runnable examples).
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 | Synchronous machine data |