# MATHEMATICAL MODEL OF THE SYSTEM OF ORIENTATION OF THE ROTOR OF A WIND INSTALLATION AT THE ACCOUNT OF OWN ROTOR OWN SAWING

• V. Holovko Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine
• V. Kokhanievych Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine
• M. Shykhailov Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine
Keywords: wind power, wind turbine, rotor orientation due to its own windage.

### Abstract

Despite considerable experience in the design of low-power wind turbines during their operation, destruction of individual elements of the installation occurs, which can lead to the destruction of the installation as a whole. One of the important factors that leads to the destruction of elements, in particular the blades, is the gyroscopic loads that occur in the blades when the rotor is oriented in the direction of air flow. It should be noted that the designers face a certain dilemma. On the one hand, an increase in angular velocity leads to a decrease in energy losses during the orientation of the rotor, and on the other hand, to an increase in gyroscopic loads in the blades.

To date, a number of works have proposed mathematical models of rotor orientation systems in the direction of air flow due to the tail vane plane. In this case, various structural schemes of this rotor orientation system are used, such as a spring-loaded tail, a tail on an oblique hinge, and others. The rotor orientation system due to its own rotor windage is practically unexplored and requires theoretical developments and their subsequent experimental verification.

In this paper, it is proposed to develop a mathematical model of the orientation system of the rotor of a wind turbine due to its own windage of the rotor, taking into account a number of parameters and characteristics of this orientation system. The proposed mathematical model of rotor orientation made it possible to obtain equations for calculating the rotor orientation angular velocities depending on wind speeds, the angle of the rotor deviation from the air flow direction, and a number of design parameters of the rotor orientation system. The obtained angular velocity of the orientation of the rotor allows you to determine the energy loss and gyroscopic loads on the structural elements of the wind turbine during the orientation of the rotor. These equations also allow you to determine the parameters that can affect the value of the angular velocity of the orientation of the rotor, such as the distance from the axis of rotation of the nacelle to the plane of the rotor and the damping coefficient of the corresponding devices, allows you to choose a rational value of the angular velocity of orientation of the rotor, taking into account possible losses generated by the wind turbine and gyroscopic values loads in the blades and elements of the gondola. Ref. 9, fig. 1.

### Author Biographies

V. Holovko, Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine

Author information: chief researcher at Institute of Renewable Energy, National Academy of Sciences of Ukraine.
Education: graduated from the Ukrainian Agricultural Academy in 1977 with the degree of "Electrification of Agriculture".
Research area: renewable sources of energy, wind power systems, small capacity wind units, autonomous power systems.
Publications: 162

V. Kokhanievych, Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine

Author information: senior researcher at Institute of Renewable Energy, National Academy of Sciences of Ukraine.
Education: graduated from the Kyiv Polytechnic  Institute in 1979 with the specialization "Technology of Machine-Building, Metal Cutting Machines and Tools".
Research area: power systems, converting types of energy, automation and modeling processes. wind po-wer systems, small capacity wind units, control systems and protect.
Publications: 121

M. Shykhailov, Institute of Renewable Energy of NAS of Ukraine, 02094, 20A, Hnat Khotkevich Str., Kyiv, Ukraine

Author information: researcher at Institute of Renewable Energy, National Academy of Sciences of Ukraine.
Education: graduated from the Kyiv Polytechnic  Institute in 1979 with the specialty "Hydropneumatic and Hydraulic Drive".
Research area: wind power systems, small capacity wind units, control systems.
Publications: 207

### References

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Abstract views: 26
Published
2020-06-28
How to Cite
Holovko, V., Kokhanievych, V., & Shykhailov, M. (2020). MATHEMATICAL MODEL OF THE SYSTEM OF ORIENTATION OF THE ROTOR OF A WIND INSTALLATION AT THE ACCOUNT OF OWN ROTOR OWN SAWING. Vidnovluvana Energetika, (2(61), 63-69. https://doi.org/10.36296/1819-8058.2020.2(61).63-69
Section
Wind Energy