Application of Complete Factorial Experiment to Optimize Parameters of Frequency-Controlled Asynchronous Motor in Order To Improve Its Energy Indicators

Abstract

Resolving the problems of optimal design of frequency-controlled asynchronous motors remains a relevant issue to the present time. Among the existing methods of optimizing the parameters of the asynchronous machines equivalent circuit to increase their energy indicators, a significant place is occupied by a graphical method using regression equations, obtained by a complete factorial experiment. As the objective functions in the problem, presented in this article, the values of the efficiency and power factor of a frequency-controlled asynchronous motor are accepted. The factors are the parameters of the equivalent circuit. A complete factorial experiment of the type 24 was performed using the model of the asynchronous motor performance data, made by the author, taking into account the higher harmonics of the supply voltage obtained as a result of harmonic analysis of the pulsed supply voltage. The regression equations relating the efficiency and power factor to the parameters of the three-phase asynchronous motor equivalent circuit have been optimized to eliminate insignificant coefficients. The problem of optimizing the resistances and inductive reactances of the motor to obtain maximum energy indicators under current and total losses limitation was solved graphically in a two-dimensional factor space. The results of the study allows drawing a conclusion about the applicability of the method of complete factorial experiment to the solution of the optimization problem for an asynchronous motor, fed by a frequency converter with the pulse width modulation.