Model of the induction machine including saturation

This work proposes a model for induction machines in natural coordinates “abc”, developed considering the nonlinear characteristics of saturation. Traditionally, the models for the induction machine including this effect make use of linear transformations. However, the nonlinearity of saturation does not allow the use of these transformations, giving invalid results. Flux linkage in each phase leads to the saturation coefficient and this to the magnetic permeance. Hence, the saturation coefficient produces a new inductance in natural coordinates that considers the nonlinearity of saturation. The machine behavior is computed using a state variable model in natural coordinates described in the space vector frame. The results obtained by the proposed model give a better harmonic representation than the “dq0”models obtained by neglecting the magnetic hysteresis effect. A comparison between the proposed representation and the traditional one shows the advantages of the former.