Time and electric energy losses minimization in speed control of induction motors

The paper presents a method for solving the problem of the simultaneous time and electric energy losses minimization during the frequency speed control of induction motors with the electromagnetic transients. To solve this vector optimization problem, the optimization index in the form of linear combination of the scalar indexes is assumed and the Pontryagin maximum principle is used. Examples of solution for two cases of optimal frequency starting of two induction motors are presented.