Purpose. Finding energy-saving speed trajectories in the acceleration and braking modes for a range of supernormal speeds of a short-circuited frequency-regulated asynchronous engine in the acceleration and deceleration regimes as well as examining the total energy losses of this engine in these modes by the example of machine and traction drives. Methodology. Methods of variational calculus, Runge - Kutta, mathematical interpolation and computer modeling are used. Findings. Analytic dependencies are obtained for calculating the total energy losses for a frequency-regulated asynchronous engine (FRAE) under conditions of acceleration and deceleration in the range of its super-nominal velocities. A quantitative estimation of these energy losses for a given engine in this speed range is made with respect to the constant and traction loads for the proposed energy-saving and known (linear and parabolic) velocity trajectories. Electromechanical and energy transitional processes in the range of super-nominal speeds for acceleration and deceleration regimes with the traction load were investigated. Originality. For the first time, an energy-saving (called "quasi-optimal") trajectory of speed variation at supernormal FRAE speeds is proposed, which allows minimizing the general main engine energy losses in the acceleration and braking modes with constant and traction loads. For the first time, a quantitative estimate of the minimum possible common main losses of this engine in the modes of acceleration and braking in the range of super-nominal velocities for the proposed energy saving velocity trajectory and a comparison of these losses to linear and parabolic tachograms. Practical value. The use of the obtained results allows reducing unproductive losses of energy in the modes of acceleration and braking of the FRAE at super-nominal speeds with constant and traction loads.

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