The development and simulation of the dynamic model of a permanent magnet synchronous machine
in rotor reference is discussed in this paper. The system model is developed without prebuilt blocks
using PSIM software. The results are analysed by varying initial phase of the three-phase voltage source from 0deg
to 360 deg. Also the effects on output parameters when fluxlink between stator and rotor is reduces are also discussed.
Ever since the price of high field strength materials particularly neodymium-iron-boron (NdFeB) magnets have
decreased in international market, Permanent magnet synchronous motors (PMSM) with the sinusoidal back EMF gained
importance because of their high speed, high power density and high efficiency. These properties of PMSM are suitable
in special high performance applications, such as; robotics, aerospace, wind turbines, electric ship propulsion
systems and hybrid vehicles.
Permanent Magnet Synchronous Motor Model
Using Park's d-q model, the PMSM machines are usually modelled in rotor reference frame.
While modelling the equations the following assumptions are made.
Saturation is neglected.
The induced EMF is sinusoidal.
Eddy currents and hysteresis losses are negligible.
There are no field current dynamics.
There is no cage on the rotor.
Figure1: Motor Axis
The stator d, q equations (using Mathjax)
With the above assumptions, the stator d, q equations of the PMSM in the rotor reference frame are-