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Torque and Power Coefficients of a Vertical Axis Wind Turbine With Optimal Pitch Control

[+] Author Affiliations
Jim Shih-Jiun Chen, Zhi Chen, Saroj Biswas

Temple University, Philadelphia, PA

Jiun-Jih Miau, Cheng-Han Hsieh

National Cheng-Kung University (NCKU), Tainan, Taiwan

Paper No. POWER2010-27224, pp. 655-662; 8 pages
  • ASME 2010 Power Conference
  • ASME 2010 Power Conference
  • Chicago, Illinois, USA, July 13–15, 2010
  • Conference Sponsors: Power Division
  • ISBN: 978-0-7918-4935-4 | eISBN: 978-0-7918-3876-1
  • Copyright © 2010 by ASME


Vertical axis wind turbines (VAWT) have been valued in recent years for their low manufacturing cost, structural simplicity and convenience of applications in urban settings. Despite their advantages, VAWTs have several drawbacks including low power coefficient, poor self-starting ability, negative torque and the associated cyclic stress at certain azimuth angles. Using pitch control ideas, our research is aimed at solving the above problems. In this study, a small-scale Giromill VAWT using three NACA-0015 airfoils with a cord length of 0.09 m and a wind turbine radius of 0.6 m is investigated. During each rotation, the angle of attack depends on the wind velocity, angular velocity and current azimuth angle for each turbine blade. Negative torques at certain angles are attributed to the inherent unsteady aerodynamic behavior at high angles of attack. Without optimal pitch control, the Double-Multiple Streamtube (DMS) model predicts negative torques at certain azimuth angles and very low power coefficients for tip speed ratios below 2.5. The unfavorable negative torques are eliminated using an optimal pitch control strategy, which maximizes the tangential force coefficients and thus the torque coefficients by iterations of all possible relative angles of attack for various tip speed ratios. As a result, the power coefficient is significantly improved especially at low tip speed ratios in the range of zero to three (λ = 0 – 3). Blade pitch control can also solve the self-starting problem and reduce the vibration of vertical axis wind turbines.

Copyright © 2010 by ASME



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