Among the electric machines used in industrial system presently one can highlight the induction motors, not only for its large number but also due to the increasing capacity of such machines. Motors, converter and control circuits can be combined under varied ways highlighting the necessity of an adequate modelling for the system as a whole. Based on information from literature the simplified model of induction machine as a load in a power system permits the study of its behavior with sufficient accuracy. Starting from this concept simplified models of induction motor were developed in this work, for apllication in the control studies. The models showed are fifth, forth, thirth and second order ones. In order to follow completly the desing of control parameters, the Transfer Function are very important. The Transfer Functions when applied to the models developed using state variable formulation permit through the digital simulation obtain information of all the output- input pairs wich are necessary for the design. The calculation of the Tranfer Function is done based on two methods, one using variable tranformation and the other one maintaining the state variable formulation. Transfer Function obtained by the two above mentioned methods, are used to analize the control of a motor- converter system. This control method is applied to the rotor or stator of the machine.