This example investigates the maximum torque per amps (MTPA) of a quasi static permanent magnet synchronous machine. The machines is operated at constant speed. The current magnitude is kept constant and the current angle is rotated from 0 to 360 degrees within the simulation period of one second.
In this simulation the angle is the following angles are calculated:
phiv
= angle of voltage phasorphii
= angle of current phasorphis = phiv - phii
= angle between voltage and current phasortheta
= rotor displacement angleepsilon = phis - theta
= current angleThe intention is to compare the results of the following simulation models in one plot:
The resistors connected to the terminals of the windings of the quasi static machine model are necessary to numerically stabilize the simulation.
smpm.abs_vs[1]
against epsilon
: RMS phase voltage against current anglesmpm.tauElectrical
against epsilon
: electromagnetic torque against current anglephis
against epsilon
: phase angle between voltage and current phasor against current angletheta
against epsilon
: rotor displacement angle against current angle