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TEETERING                                                              347


             increased noise emission resulting from the faster rotation, but this would not be
             an issue offshore. Another consideration is the reduced yield due to increased tip
             loss. For example, a 40 m diameter machine consisting of a TR blade rotating at
             48 r.p.m., with twist distribution reoptimized to give maximum energy yield, will
             achieve the same maximum power output as the baseline design, but provide 12
             percent less energy.
               The single blade must be counterweighted to eliminate torque fluctuations and
             any whirling tendency due to centrifugal loads. Furthermore, as a rigid hub would
             expose the nacelle to very large nodding and yawing moments in comparison with
             two- or three-bladed machines, it is customary to mount the rotor on a teeter hinge,
             so that the unbalanced aerodynamic out-of-plane moment can be resisted by a
             centrifugal couple, thereby reducing the hub moment. However, the teeter motion
             of the blade is significantly greater than that of a two-bladed machine, so it is
             normal to mount the rotor downwind. Morgan (1994) reports that particular
             difficulties have been encountered in predicting teeter excursions after grid loss
             and emergency stops, leading to excessive risk of teeter stop impacts.



             6.6   Teetering

             6.6.1  Load relief benefits


             Two-bladed rotors are often mounted on a teeter hinge – with hinge axis perpendi-
             cular to the shaft axis, but not necessarily perpendicular to the longitudinal axis of
             the blades – in order to prevent differential blade root out-of-plane bending
             moments arising during operation. Instead, differential aerodynamic loads on the
             two-blades result in rotor angular acceleration about the teeter axis, with large
             teeter excursions being prevented by the restoring moment generated by centrifugal
             forces, as described in Section 5.8.8. However, when the machine is shut-down, the
             centrifugal restoring moment is absent, so differential blade loading will cause the
             rotor to teeter until it reaches the teeter end stops which need to be suitably
             buffered. Consequently the teeter hinge is unlikely to provide any amelioration of
             extreme blade root out-of-plane moments when the machine is shut-down.
               The load relief afforded by the teeter hinge benefits the main structural elements
             in the load path to the ground in varying degrees, as outlined below:

             (a) Blade. The main benefit is the elimination of the cyclic variations in out-of-plane
                bending moment due to yaw (Figure 5.10), shaft tilt, wind shear (Figure 5.11)
                and tower shadow (Figure 5.14). By contrast, there is only a small reduction in
                blade root out-of-plane bending moment due to stochastic loadings – see the
                example in Section 5.8.8, where an 11 percent reduction is quoted. Thus, teeter-
                ing results in a large overall reduction in out-of-plane fatigue loading, although
                the significance of this will be tempered by the influence of the unaltered
                edgewise gravity moment.

             (b) Low-speed shaft. Low-speed shaft design is governed by fatigue loading, which
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