Purpose. Obtaining the frequency-regulated asynchronous engine (FRAE) with the pumping load of the calculated analytical dependences for the major electromagnetic energy losses of the engine and determining the optimal values of its acceleration and deceleration time for minimizing the loss concerned, as well as checking the feasibility of their optimal values of time in hydraulic systems. Methodology. The methods of mathematical analysis and determinants of theories of similarity and of hydraulic shock, of computer simulation were used. Findings. Analytic dependencies for the calculation of the MEEL for the FRAE loaded with a centrifugal pump (CP) are obtained, with respect to the start-braking regimes for various existing types of the velocity variation. As a result of solving the optimization problem, analytical dependencies are obtained that ensure the calculation of the minimum possible (optimal) values of the MEEL of this engine in the start-braking regimes with the indicated different types of speed variation and allow calculating the optimum time for acceleration and deceleration of the engine corresponding to them. An engineering technique is proposed and with its help based on the permissible value of the hydraulic shock in the hydraulic system, a check on the feasibility of the optimum acceleration and deceleration time for the FRAE loaded with a CP in the start-braking regimes with the mentioned speed trajectories is carried out. Originality. For the first time, analytical dependencies have been obtained that allow one to quantify the minimum possible MEEL in the start-braking regimes with a pumping and fan load, and also to determine the optimum acceleration and deceleration time values corresponding to these energy losses for linear, parabolic and quasi-optimal velocity trajectories. For the first time, a method has been developed for calculating the maximum value of a hydraulic shock in a hydraulic system when using a centrifugal pump with FRAE. Practical value. The introduction of the obtained results allows reducing unproductive losses of electric energy in the start-braking regimes of the FRAE, and also increasing the operational reliability of the hydraulic systems with a CP equipped with a frequency- regulated asynchronous engine.

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