%0 Journal Article %T Sensorless position estimation of Permanent-Magnet Synchronous Motors using a saturation model %A Al Kassem Jebai %A Francois Malrait %A Philippe Martin %A Pierre Rouchon %J Mathematics %D 2012 %I arXiv %X Sensorless control of Permanent-Magnet Synchronous Motors (PMSM) at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency signal and use the rotor saliency, both geometric and magnetic-saturation induced. This paper proposes a clear and original analysis based on second-order averaging of how to recover the position information from signal injection; this analysis blends well with a general model of magnetic saturation. It also proposes a simple parametric model of the saturated PMSM, based on an energy function which simply encompasses saturation and cross-saturation effects. Experimental results on a surface-mounted PMSM and an interior magnet PMSM illustrate the relevance of the approach. %U http://arxiv.org/abs/1207.5743v1