The paper presents the mathematical models, the equivalent electrical schemes with the rotor winding referred to the stator one, the simplified mathematical models with their limits of application and physical interpretations concerning the performances obtained in the vector control of the induction motor. The general mathematical models can be simplified for slow transient processes, in this case the results obtained can be correlated with elements of the steady state, and the physical interpretations will be more adequate. It is to remark that the transformer e.m.f. can be neglected only in the synchronous reference system.

Keywords: Induction motor, Mathematical model, Equivalent schemes, Vector control.