Optimization of general losses of the energy of the frequency-regulated pumping aggregate for start-braking regimes

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V.O.Volkov, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0003-1262-3988, Dnipro University of Technology, Dnipro, Ukrainе, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


Purpose. Analytical calculation and optimization of the total energy losses for a frequency-regulated centrifugal pumping aggregate during start-braking regimes.

Methodology. Variational calculi, mathematical interpolation and computer simulation were used.

Findings. Analytical dependencies are obtained that allow calculating and optimizing the total energy losses of the frequency-regulated centrifugal pump set in the start-braking regimes. The quasi-optimal form of tachograms and the optimal values ​​of the acceleration and deceleration time of this aggregate are defined, at which the minimization of its total energy losses in the start-braking regimes is ensured. Solutions for calculating energy consumption, as well as hydraulic, electromechanical and energy processes for the centrifugal pumping aggregate are implemented.

Originality. For the first time, analytical dependencies were obtained for calculating the total energy losses of a frequency-regulated pump aggregate in the start-braking regimes. A “U”-shape type of the dependences of the total energy losses of a given aggregate on the duration of its acceleration and deceleration time for different velocity trajectories is established. A quasi-optimal trajectory of velocity variation is proposed in the form of a temporal function of the hyperbolic sine with a variable value of the coefficient in its argument, at which the total losses of the pump aggregate in the start-braking regimes are minimal. A comparison is made of the total energy losses of the pump set for a quasi-optimal velocity trajectory with known other trajectories for different duration time of the start-braking regimes, which made it possible to estimate the energy saving achieved thereby.

Practical value. Introduction of the obtained results allows reducing to the minimum possible values the unproductive energy losses for the centrifugal pump aggregate in the start-braking regimes.


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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.


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