Determination of the optimal slip value for minimizing electrical losses in an induction motor

Purpose. The aim of the work is to conduct theoretical research and develop a methodology for determining the optimal operating slip value to minimize electrical losses under varying load conditions on the induction motor rotor shaft. Methodology. The research was conducted using the fundamentals of mathematical modeling theory for a generalized AC electrical machine, classical optimization methods, the basics of automated control theory, loss minimization techniques in induction motor drives, and methods for the interpolation and approximation of calculated data. Findings. A methodology has been developed for determining the optimal operating slip value to minimize electrical losses under varying rotor shaft load conditions in a quasi-steady-state mode of induction motor operation. A universal objective function for minimizing electrical losses in the induction motor as a function of slip frequency has been obtained. In the process of solving the optimization problem using classical single-variable optimization methods, an expression for the optimal slip frequency was derived, as well as the relationships between current magnitudes and the parameters of the induction motor stator