Nonlinear Modeling of Interior Permanent Magnet Synchronous Motors Considering Magnetic Field Harmonics and Non-Sinusoidal Winding Distribution

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 IPMSM. Especially, the harmonic expression of the current under natural coordinate system and d-q axis coordinate system using the theory of symmetrical components method in detail. Based on which, the profound relationships between related nonlinear factors and harmonic order was disclosed.