A Stochastic Approach to Extreme Wind Speeds Conditions on a Small Axial Wind Turbine

In this paper, to model a real life wind turbine, a probabilistic approach is proposed to model the dynamics of the blade elements of a small axial wind turbine under extreme stochastic wind speeds conditions. It was found that the power and the torque probability density functions even-dough decreases at these extreme wind speeds but are not infinite. Moreover, we also fund that it is possible to stabilize the power coefficient (stabilizing the output power)above rated wind speeds by turning some control parameters. This method helps to explain the effect of turbulence on the quality and quantity of the harness power and aerodynamic torque.

Authors:

• Nkongho Ayuketang Arreyndip
• Ebobenow Joseph

Keywords:

• Probability
• Stochastic
• Probability density function
• Turbulence.

References:

[1] Boubekeur Bourhezzar, Houria Siguerdidjane, Nonlinear Controle of
Variable Speed Wind Turbines for Power Regulation, Proceedings of the
2005 IEEE Conference on Control Applications Toronto, Canada, August
28-31, 2005.
[2] Bianchi, F.D.; de Battista, H.; Mantz, R.j., Wind
Turbine Control Systems, 2007,xx, 208p., Hardcover
(http://www.springer.com/978-1-84628-492-2).
[3] Oliver Probst, Jaime Martnez, Jorge Elizondo and Oswaldo Monroy
(2011). Small Wind Turbine Technology,Wind Turbines, Dr. Ibrahim
Al-Bahadly (Ed.), ISBN: 978-953-307-221-0, InTech, Available from:
http://www.intechopen.com/books/wind-turbines/small-wind-turbine-technology
[4] C. Nichita, M.El Mokadem and B. Dakyo, Wind Turbine Simulation
Procedures, Wind Engineering Volume 30, No. 3, 2006, pp 187-200.
[5] Arnab Sarkar, Sunita Singh, Debojyoti Mitra Wind climate modeling
using Weibull and extreme value distribution , International Journal of
Engineering, Science and Technology, Vol. 3, No. 5, 2011, pp. 100-106.
[6] Janos Galambos, James Lechner, Emil Simiu Extreme value theory and
Applications,1993.