Semenenko Ye., Medianyk V., Burak S., Khaminich О., Halchenko Z. Study of the possibility of solving the coupling equation for the Sabinin-Yuriev model in an analytical form
- Details
- Parent Category: Geo-Technical Mechanics, 2024
- Category: Geo-Technical Mechanics, 2024, Issue 171
Geoteh. meh. 2024, 171, 74-85
https://doi.org/10.15407/geotm2024.171.074
STUDY OF THE POSSIBILITY OF SOLVING THE COUPLING EQUATION FOR THE SABININ-YURIEV MODEL IN AN ANALYTICAL FORM
1Semenenko Ye. 
2Medianyk V.
2Burak S.
3Khaminich О.
1Halchenko Z.
1M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine
2Dnipro University of Technology
3Oles Honchar Dnipro National University
UDC UDC [620.9:622.012.2:371.61].001.24:622.012
Language: English
Abstract. The effectiveness of converting industrial sites (IS) of coal industry enterprises (CIE) into wind power plants is determined not only by the justification of the rotor diameter, the distribution of the blade angle of rotation and the chord length, but also by choosing a certain blade cross-sectional profile, the aerodynamic properties of which are preferable in these conditions. The results of the study of the dependencies of the aerodynamic characteristics of more than 50 most well-known airfoils on the trigonometric functions of the angle of attack allowed us to propose new approximation dependencies. These dependencies simplify the assessment of the prospects of using different types of profiles for wind turbine rotors (WTR) with a horizontal axis of rotation in the conditions of the IS of CIE. This allowed us to develop an analytical method for solving the coupling equation in the Sabinin-Yuriev mathematical model of the process of interaction of air flow with the rotor of a wind turbine with a horizontal axis of rotation. This equation relates the parameters of the wind flow, rotor rotation conditions, aerodynamic and geometric qualities of the rotor, and the values of inductive velocities introduced into the air flow by the rotor of a wind turbine with a horizontal axis of rotation. As a result of this improvement of the Sabinin-Yuriev model, an analytical solution to the coupling equation was obtained for the first time, which allows avoiding iterative algorithms in calculating the inductive velocities introduced into the air flow by the rotor of a wind turbine at given wind flow parameters, rotor rotation conditions, aerodynamic and geometric parameters of the rotor. The proposed formulas, for the first time, allow us to create algorithms for calculating the characteristics of WTR with a horizontal axis of rotation without the use of iterative procedures associated with the numerical solution of the coupling equation and simplify the solution of problems of optimizing the parameters of the WTR with a horizontal axis of rotation, thereby ensuring their maximum adaptation to the conditions of the IS CIE.
Keywords: wind turbine with a horizontal axis of rotation, wind energy utilization factor, Sabinin-Yuriev model, rotor speed, angle of attack.
REFERENCES
1. Chemeris, І.F., Oksen, Yu.I. and Bokij, B.V. (2006), “Use of the energy potential of the mine ventilating jet”, Geo-technical mechanics, vol. 67, рр. 359 – 370.
2. Pivnyak, G.G., Shkrabets, F., Noiberher, N. and Tsyplenkov, D. (2015), Osnovy vitroenerhetyky [Basics of wind energy], NMU, Dnepropetrovsk, Ukraine.
3. Drukovanyi, М.F. and Yanovych, V.P. (2016), Alternatyvni dzherela enerhii [Alternative energy sources], Vinnytsia National Agrarian University, Vinnytsia, Ukraine.
4. Pivnyak, G.G. and Shkrabets, F.P. (2013), Alternatyvna enerhetyka v Ukraini [Alternative energy in Ukraine], National Mining University, Dnepropetrovsk, Ukraine.
5. Tarasov, S.V., Shkrabets, F.P., Zadontsev, V.A. and Otchich, S.V. (2014), Vetroenergetika. Informatsionno-analiticheskiy obzor po alternativnoy energetike [Wind Energy. Information and analytical review on alternative energy sector], in Dzenzerskoho, V.А. and Pivnyak, G.G. (ed.), National Mining University, Dnepropetrovsk, Ukraine.
6. Dzenzerskyi, V.А., Tarasov, S.V. and Kostyukov, I.Yu. (2011), Vetroustanovki maloy moschnosti [Small wind turbines], Scientific Opinion, Kiev, Ukraine.
7. Abramovskii, Ye.R. and Lychagin, N.N. (2014), Problemyoptimizatsiiparametrovvenrovykhdvigatelei [The mathematical modeling and optimal design of wind engine of different capacities and purposes], Science and Education, Dnipropetrovsk, Ukraine.
8.Abramovskii, Ye.R., Аvrakhov, F.І., Lychahin, М.М. and Leshchenko, І.H. (2012), Zadachi i vpravy z vitroenerhetyky [Problems and exercises in wind energy], Science and Education, Dnepropetrovsk, Ukraine.
9. Abramovskii, Ye.R., Gorodko, S.V. and Sviridov, M.V. (1987), Aerodinamika vetrodvigateley: ucheb. posobie [Aerodynamics of wind engines: tutorial. benefit], DNU, Dnepropetrovsk, Ukraine.
10. Chmielniak, T. (2008), Technologie energetyczne, Wydawnictwa Naukowa-Techniczne, Warszawa, Poland.
11. Chiras, D. (2010), Wind Power Basics, New Society Publishers, Gabriola Island, BC, Canada.
12. Ivanov, O.B., Shkrabets, F.P. and Zawilak, J. (2011), Electrical generators driven by renewable energy systems, Wroclaw University of Technology, Wroclaw, Poland.
13. Paska, J. (2005), Wytwarzanie rozproszone energii elektrycznej i ciepła, Ofiсyna Wydawnicza Politechniki Warszawskiej, Warszawa, Poland.
14. Medvedieva, O. O., Larionov, H. I. and Halchenko, Z. C. (2024). "To the selection of technology parameters for the use of renewable energy sources on man-made disturbed lands", IOP Conference Series: Earth and Environmental Science, vol. 1319(1), 012011. https://doi.org/10.1088/1755-1315/1319/1/012011
15. Woofenden, I. (2009), Wind Power for Dummies, Published by Wiley Publishing, Indianapolis, USA.
16. Burton, T., Sharpe, D., Jenkins, N. and Bossanyi, E. (2011), Wind energy. Handbook. Second Edition, John Wiley & Sons, Ltd., Chichester, New York, Weinheim, Brisbane, Singapore, Toronto. https://doi.org/10.1002/9781119992714
17 Hadnagy, I., Tar, K. and Molnar, J. (2020), "Analysis of the current state of wind power in the world, Europe and Ukraine, especially in Transcarpathia", Ukrainian Geographical Journal, vol. (1), pp. 59-70. https://doi.org/10.15407/ugz2020.01.059
18. Sinchyk, О.М., Mykhailychenko, D.A., Boyko, S.М., Horodniy, О.М. (2013), “Features of operation of the autonomous wind-power installation in the underground mine iron workings or mines”, Visnyk Of Chernihiv State Technological University. Series. Technical Sciences, no. 3 (67), pp. 224–232.
19. Кudria, S.О. (ed.) (2020), AtlasenerhetychnohopotentsialuvidnovliuvanykhdzherelenerhiiUkrainy [Atlas of energy potential of renewable energy sources in Ukraine], The Institute of Renewable energy of the National Academy of Sciences of Ukraine, Kiev, Ukraine.
20. Zabarny, G.М. and Shurchkov, А.V. (2002), Enerhetychnyi potentsial netradytsiinykh dzherel enerhii Ukrainy [Energy potential of non-conventional energy sources in Ukraine], Institute of Engineering Thermophysics, Kiev, Ukraine.
21. Коvalko, М.P. and Denysiuk, S.P. (2005), Elektrozberezhennia – priorytetnyi napriamok derzhavnoi polityky Ukrainy [Electricity saving is a priority area of Ukraine's state policy], Ukrainian Electrochemical Congress, Kiev, Ukraine.
22. Konokhov, M.M. and Tsykhmistro, S.I. (2011), “Integrated development of wind power and coal industry in Donbass“, Energosberezhenie, no. 6, pp. 20–21.
About the authors:
Semenenko Yevhen, Doctor of Technical Sciences (D.Sc), Senior Researcher, Head of Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author), ORCID 0000-0001-8707-3648
Medianyk Volodymyr, Candidate of Technical Sciences (Ph.D), Associate Professor, Associate Professor of the Department of Mining Engineering and Education, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .
Burak Serhii, Graduate Student, Dnipro University of Technology, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0009-0005-0669-161X
Khamіnіch Оleksandr, Candidate of Technical Sciences (Ph.D.), Associate Professor, Oles Honchar Dnipro National University (DNU) under the Ministry of Education and Science of Ukraine, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-2621-8206
Halchenko Zariana, Graduate Student, M.S. Poliakov Institute of Geotechnical Mechanics NAS of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-5754-3175