A Space-Vector State Dynamic Model of the Synchronous Reluctance Motor Including Self and Cross-Saturation Effects and its Parameters Estimation

Abstract

This paper proposes a space-vector dynamic model of the Synchronous Reluctance Motor (SynRM) including both self-saturation and cross-saturation effects and selecting as state variables the stator currents. The proposed dynamic model is based on an original function between the stator flux and stator current components, and relies on 8 coefficients (fewer than other models in the scientific literature), presenting an interesting physical interpretation. Starting from this approach, both the static and dynamic inductances expressions of the model have been analytically developed, so that the reciprocity conditions for the cross-saturation is satisfied. This paper presents also a technique for the estimation of the parameters of the inductances expressions, which is based on stand-still tests without the need of locking the rotor. This technique is based on the minimization of a suitably defined error function which includes the difference between the measured and estimated currents The proposed parameter estimation technique has been tested in both numerical simulation and experimentally on a suitably developed test set-up.