Nonlinear modeling based harmonic analysis of the interior Permanent Magnet Synchronous Machines

In this paper, an analytical nonlinear model basing on winding function theory is presented, which takes into account of magnetic field harmonics together with non-sinusoidal winding distribution of the interior permanent magnet synchronous machines (IPMSMs). The voltage, current and inductance vector expression are deduced in detail. And then, the relationship between the fundamental model and the improved nonlinear counterpart is demonstrated, which gives a clear physical picture for the nonlinear phenomenon in the d-axis and q-axis representation of motor. All parameters in the nonlinear model can be calculated with the basic electromagnetic parameters of the motors. This paper provide an effective tool for analysis of nonlinear characteristics of IPMSMs, which can be used in such field as vibration and acoustic noise analysis, torque ripple suppression, etc.