Magnetically coupled circuit based magnetic vibrations modeling of PMSM

This paper presents an analytical model for the study of magnetic vibrations in a permanent magnet synchronous motor. The analytical model is based, for the magnetic aspect, on the magnetically coupled circuits approach widely used for modeling electrical machines under faults. This approach associated with the winding functions technique yields to a system of differential equations governing the machine. Its solution helps to compute the Maxwell stress on the stator core. An analytical mechanical model describing the structure displacement and the relied vibrations has also been developed. It is based on the resolution of the equation of motion with Flügge-Byrne-Lur´ye theory. A good agreement has been obtained between results issued from the developed analytical model with those issued from finite element analyses. Analytical models have the advantage to be more convenient for the diagnosis purpose because of the consequent reduction of the calculation time as compared to numerical methods.