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