I. Introduction
Across-the line starting of high-voltage induction motors (IM) is accompanied by inrush currents up to 6–7 times higher than rated current. Such high currents cause voltage dips more than the permissible value. To a partial solution of these problems are widely used soft starters on the base of the thyristor voltage converters (TVC). However, the use of such soft starters leads to problems with overheating of the machine windings, especially in high-inertial electric drives. According to some sources [1], [2] rotor winding temperature may rise to 600 °C. Severe thermal stresses in the rotor of the IM can cause destruction of the rotor elements and lead to motor failure [3], [4]. The above-mentioned circumstances indicate that, despite the fact that the induction motor rotor winding is not isolated, and in this case there are no problems with the acceleration of the insulation thermal resource expenditure, problems associated with the estimation of the thermal condition of the induction motor rotor in start-up modes are relevant. In particular, it is of interest to obtain simple methods for an approximate estimate of the rotor winding heating at startup modes because it does not always present the sufficient amount of information for a detailed simulation.