# MODELING DYNAMICS LOADING MODES WORK OF THE HYDRO-PUMP STATION WITH THE ELECTRIC DRIVE FROM POWER SUPPLY OF THE WIND ELECTRIC INSTALLATION WITH THE SYNCHRONOUS GENERATOR

• P. Vasko Institute of Renewable Energy of the National Academy of Sciences of Ukraine, 02094, 20А Hnata Khotkevycha St., Kyiv, Ukraine. http://orcid.org/0000-0001-8807-7173
• S. Pazych Institute of Renewable Energy, NAS of Ukraine 02094, st. Hnata Khotkevycha 20А , Kyiv, Ukraine http://orcid.org/0000-0002-6310-9842
Keywords: wind turbine, hydraulic pump, dynamics, inertia, flow, synchronous generator, stochasticity.

### Abstract

Hydro-pumped hydropower stations have been used in areas remote from the distribution grids. The experience of operating such stations demonstrates a significant impact of wind speed ripples on their performance. In the framework of this study, a mathematical model of the dynamics of water flow change by a multi-unit hydro-pump station with electric drive from asynchronous motors with a short-circuited rotor winding with power from a wind electric installation with a synchronous generator with a stochastic component of wind speed change was developed. The study of dynamic processes is carried out at a 10-minute interval of averaging wind speed, which is a standardized value for estimating the power of a wind electric installation for disturbance of wind flow. The model is a system of nonlinear differential equations describing the interaction of two inertial components of a single aero-electro-hydro-dynamic system. The first inertial component includes a wind turbine and a synchronous generator, and the second - an induction motor and a hydraulic pump. The interaction of one inertial component with another is effected through the electrical connection between the generator and the motor through the transmission line together with the transformer substations. The parameters of mechanical rotational motion of inertial components were determined using the assumption of quasi-stationarity of electromagnetic processes in the stator and rotor circuits of the generator and the motor. The calculation of their electromagnetic moments was carried out using equivalent alternate electrical circuits of the equipment, taking into account the variable speed and an arbitrary number of hydro units in the station. The results of calculations of the dynamics of the supply of a 1 MW hydro-pump station of 5 hydropower units with a synchronous pole generator of the same power at a wind speed less than the nominal value equal to and greater than the nominal value are presented. They provide an opportunity to evaluate the dynamic properties of the process of converting wind kinetic energy into the potential energy of water stored in a pool battery. The results obtained today are becoming increasingly important in view of the need to integrate significant wind power capacity into electricity systems. Ref. 26, tab. 3, fig. 8.

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### Author Biographies

P. Vasko, Institute of Renewable Energy of the National Academy of Sciences of Ukraine, 02094, 20А Hnata Khotkevycha St., Kyiv, Ukraine.

Author information:  Doctor of Technical  Sciences majoring in «Renewable Energy  Transformation», Head of Hydropower Department of the Institute of Renewable Energy NAS of Ukraine.
Education: National Technical University of Ukraine «Kyiv Polytechnic Institute».
Research area: alternative energy, energy saving, conversion of renewable energy types and installations based on them, small hydropower
Publications: 247.

S. Pazych, Institute of Renewable Energy, NAS of Ukraine 02094, st. Hnata Khotkevycha 20А , Kyiv, Ukraine

Author information: postgraduate, junior researcher of Hydropower Engineering Department, Institute of Renewable Energy NAS of Ukraine.
Education: National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute». Specialty «Non-traditional and renewable energy sources».
Publications: 12

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