# The mathematical model of the system of orientation of the rotor of the wind turbine by a weathervane plane

• V. Holovko Institute of Renewable Energy, NAS of Ukraine
• V. Kokhanievych Institute of Renewable Energy, NAS of Ukraine
• M. Shykhaylov Institute of Renewable Energy, NAS of Ukraine

### Abstract

In certain criteria for the design of low-power wind
turbines should consider them on the one side as an energy
object that needs most effectively use the energy of the wind
flow, and the other side as a high risk, requiring to ensure reliable
operation of the installation during its service life.
For orientation of the rotors with plane orientation energy
losses during orientation of rotor depends on the angular speed
of orientation rotor, rotor deflection others. On the other side of
the rotor, angular velocity orientation affects the gyroscopic,
Today the mathematical models of the orientation systems
of the rotor in the direction of air flow, taking into account a
number of parameters and system performance orientation of the
rotor. It is necessary to take into account the continuous
improvement of designs of wind turbines rotor orientation,
which requires amending the already proven mathematical
models of wind turbines rotor orientation, and some assumptions
in making mathematical models can dramatically change the
picture of the physical process.
In this paper an improved mathematical model based
orientation rotor gyroscopic torque that occurs during orientation
of the rotor in the direction of air flow. This mathematical model
allows obtaining an equation for calculating the velocity of the
orientation of the rotor depending on the wind speeds, the angle
of deflection of the rotor from the direction of air flow and a
number of system design parameters orientation of the rotor,
which in turn allows to identify energy losses and gyroscopic
loads on structural elements of wind turbines in the process
orientation rotor.

### Author Biographies

V. Holovko, Institute of Renewable Energy, NAS of Ukraine

chief researcher at Institute for Renewable Energy, National Academy of Sciences of Ukraine.

Education: graduated from the Ukrainian Agricultural Academy in 1977 with the degree of "Electrification of Agriculture".

Area of researches: renewable sources of energy, wind power systems, small capacity wind units, autonomous power systems.

Publications: 145.

V. Kokhanievych, Institute of Renewable Energy, NAS of Ukraine

Research fellow at Institute for 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".

Area of researches: power systems, converting types of energy, automation and modelling processes. wind power systems, small capacity wind units, control systems and protect.

Publications: 118.

M. Shykhaylov, Institute of Renewable Energy, NAS of Ukraine

Researcher in wind department at Institute for Renewable Energy, National Academy of Sciences of Ukraine.

Education: graduated from the Kyiv Polytechnic Institute in 1979 with the speciality "Hydropneumatic and Hydraulic Drive";

Area of researches: wind power systems, small capacity wind units, control systems.

Publications: 189.

### References

1. Kudrya S.О., Pepelov O.V., Tsitsikan R.M. The current
state of development of wind power in the world // Proceedings
of the XI International Scientific Conference «Renewable energy
ХХІ century». _ Crimea, smt. Mykolayivka, 13 – 17 September
2010. – Р. 118 – 120.
2. Kudrya S.О., Kuznetsov М.P., Sakhno B.G. Experience
of using wind power plants in Ukraine // Alternative energy and
ecology. – 2011. – № 8. – Р. 50 – 53.
3. Golovko V.M., Kokhanievych V.P., Shykhailov M.O.
Rotor orientation system analysis of a low capacity wind turbine
// Renewable Energy. – 2015. – № 2. – P. 55 – 60.
4. Fateev E.M. Wind turbines. – L.: VIME, 1946. – 244 p.
5. GERMAN LLOYD: Regulations and directives, Part 1
Wind energy, Guidelines for the certification of wind energy
installations. – K. 1 – 10. – 1993 with addition 1994 (German).
6. Golovko V.M., Kokhanievych V.P., Shykhailov M.O.,
Marchenko N.V. The effect of rotor orientation system
parameters with a spring-loaded tail constructive scheme over
static characteristics of the wind turbines // Renewable Energy. –
2015. – № 3. – P. 30 – 39.
7. Mosaliev V.F. On the bending of an elastic blade with a
gyroscopic moment when the rotating head of a windmill is
oriented to the wind with a tail // Proceedings of VNIIEM. –
1970. – T. No. 34. – P. 78 – 93.
8. Cousin I.V., Korendiy V.M. Dynamics of orientation
wind wheels // Journal of Nat. Univ «Lviv Polytechnic». – 2012.
– № 730: Dynamics, strength, and design of machines and
devices. – P. 51 – 57.
9. Fedotov V.E. Research of wind turbine operation with a
wind wheel behind the tower, Ph.D. thesis, ENIN of the USSR