Extreme-scale wind turbines (rated powers greater than 10 MW) with large rotor diameters and conventional upwind designs must resist extreme downwind and gravity loads. This can lead to significant structural design challenges and high blade masses that can impede the reduction of levelized cost of wind energy. Herein, the theoretical basis for downwind load alignment is developed. This alignment can be addressed with active downwind coning to reduce/eliminate flapwise bending loads by balancing the transverse components of thrust, centrifugal, and gravitational force.Equations are developed herein that estimates the optimal coning angle that reduces flapwise loads by a specified amount. This analysis is then applied to a 13.2-MW scale with 100-m-level wind turbine blades, where it is found that a load alignment coning schedule can substantially reduce the root flapwise bending moments. This moment reduction in this example can allow the rotor mass to be decreased significantly when compared with a conventional upwind three-bladed rotor while maintaining structural performance and annual energy output.
KEYWORDSdownwind turbines, morphing hinge, load-aligned, precone, prealigned
| EXTREME-SCALE, LOAD-ALIGNED WIND TURBINESWind turbine size (rotor diameter and hub height) is a primary factor determining a wind turbine's energy production. Larger turbines have larger swept areas and reach higher into the atmosphere, accessing stronger, and more consistent winds due to reduced effect of the boundary layer, which can increase their net power. 1 This has led many to view extreme-scale wind turbines (rated power exceeding 10 MW) as an effective way to lower levelized cost of energy (LCOE). For example, the European UpWind project predicted that 20 MW (252-m rotor diameter) wind turbines might be possible for off shore conditions. 2 General Electric 3 has released plans to build a 12-MW off-shore wind turbine with a rotor Nomenclature: F , Force acting on the blade; m, Mass; M, Root flapwise bending moment; P, Generator power; r, Coordinate in the radial direction from the center of rotation; R, Tip radius; R h , Hub radius; s, Coordinate from the blade root in the direction of the blade tip; S, Blade length; t, Coordinate from the blade root in the transverse direction; U∞, Free stream wind velocity; x, Coordinate from the center of rotation in the free stream wind direction; y, Coordinate from the center of rotation in the direction defined by ey = ez × ex; z, Coordinate from the center of rotation in the vertical direction; β, Coning angle; β 0 , Coning angle resulting an average root flapwise bending moment of zero; β2/3, Coning angle which reduces average root flapwise bending moment to 2/3 of original; λ, Tip speed ratio; τ, Shaft tilt angle; ψ, Azimuth angle (ψ = 0°when the blade points up); ω, Rotational rate of the rotor; () C , Component from centrifugal force; ()c, Conventional value (from simulation); ()G, Component from gravity; ()T, Component from thrust; []′, Distributed along the span of the bladeNovelty s...