Abstract
A mathematical model of an isolated blade of a horizontal axis wind turbine generator is presented to describe coupled motions of flap, lag and torsion of the blade. An energy approach is employed to derive Lagrange's equation of motion. The blade is considered as a pretwisted beam of variable cross section to calculate kinetic, dissipation and strain energy. Quasi-steady blade-element strip theory is applied to compute the aerodynamic force which accounts for boundary layer shear winds and wind speed reduction due to tower shadow. The resulting equations, which have time-dependent coefficients, are numerically solved to show steady-state response and stability of the blade. Wind tunnel tests were conducted using a l/25 scale model to ascertain theoretical predictions. Comparisons indicate a fairly good agreement between them.
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