Realization of a stochastic two-parameter model of the longitudinal component of the wind speed for wind energy problems

Keywords: wind turbine, wind, random variable, model, gust of wind, wind speed


For adequately study modes of the wind turbine must apply a qualitative dynamic model of wind speed. When working wind
turbine with changing wind speed over time plays an important role
as the primary link energy. Instantaneous wind speed has
a significant impact on the work wind turbine. the work of automatic
control systems, management Mode of operation units etc.
Modeling fluctuations of wind speed at the 10-minute interval
were carried out by two sequences of random variables. The amplitude
of the fluctuations in wind speed is modeled by a generator
of random variables distributed by the normal law. Intervals
fluctuations – for Poisson law with desired medium characteristics
numerically equal to the average of statistical significance.
The dynamic model of wind velocity fluctuations was
implemented in the software package Simulink.
To perform calculations created two data sets. Software
implementation model was carried out in two stages. In the first
phase fluctuations amplitude values calculated wind speed and
duration, and the second stage was carried out synthesis.
The proposed stochastic model of a longitudinal component
of the wind speed is realized by means of modern applications
and is not a complicated structure can be used as part of the
models of wind turbines in their design, research, and optimization
of dynamic mode parameters. Selected methods for generating
random variables most relevant to the real process of changing
wind speed. The model satisfies the accuracy of forecasting
wind speeds at 10 minutes interval.

Author Biographies

P. Vasko, Institute of Renewable Energy, NAS of Ukraine


Information about the author: doctor of technical sciences majoring in «Renewable Energy Transformation», Head of Hydropower Department of the Institute for Renewable Energy of the National Academy of Sciences of Ukraine.

Education: National Technical University of Ukraine «Kyiv Polytechnic Institute». Has a degree on electric machines and devices.

Research area: alternative energy, energy saving, conversion of renewable energy types and installations based on them, small hydropower.

Publications: 234.

ORCID: 0000-0001-8807-7173

Contacts: phone /fax +38 (044) 206-28-09 e-mail:


A. Verbovij, Institute of Renewable Energy, NAS of Ukraine


Information about the author: research fellow of Hydropower Engineering Department, Institute of Renewable Energy NAS of Ukraine

Education: National Technical University of Ukraine «Kiev Polytechnic Institute». Specialty: «Electric drive and automation of industrial plants».

Publications: 126.

ORCID: 0000-0003-2838-6032

Contacts: phone /fax: +38 (044) 206-28-09 e-mail:

S. Pazych, Institute of Renewable Energy, NAS of Ukraine


postgraduate, engineer of Hydropower Engineering Department, Institute of Renewable Energy NAS of Ukraine

Education: National Technical University of Ukraine "Kiev Polytechnic Institute”.Specialty: "Non-traditional and renewable energy sources”.

Publications: 8.


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How to Cite
Vasko, P., Verbovij, A., & Pazych, S. (2017). Realization of a stochastic two-parameter model of the longitudinal component of the wind speed for wind energy problems. Vidnovluvana Energetika, (3 (50), 54-61. Retrieved from