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346                        CONCEPTUAL DESIGN OF HORIZONTAL-AXIS TURBINES


          Table 6.6 Comparison of Loads on Shaft and Nacelle for Three-bladed and Rigid-hub Two-
          bladed Machines
                           Deterministic loading arising from wind  Stochastic loading
                           shear and/or yaw misalignment, in terms of
                           blade root out-of-plane bending moment
                           amplitude, M o
          Location of moment Three-bladed  Rigid-hub two-bladed  % increase for rigid-hub
            loading        machine       machine               two-bladed machine
                                                               compared with three-
                                                               bladed machine
          Shaft bending    1.5 M o       2 M o                 22%
            moment
          amplitude
          Nacelle nodding  1.5 M o       M o (1 þ cos 2ł)      22%
            moment
          Nacelle yaw      Zero          M o sin 2ł            22%
            moment



          6.5.5 Noise constraint on rotational speed

          As noted in Section 6.5.3, there may be significant cost benefits to be gained from a
          two-bladed design with increased rotational speeds, because, in addition to the
          blade saving, the cost of the whole of the drive train is reduced because of the
          reduced torque. However, as noted in Section 6.4.2, it is normal to restrict tip speed
          to about 65 m/s in order to limit aerodynamic noise emission. At 62.8 m/s, the tip
          speed of the baseline machine discussed in Section 6.5.3 is within this limit, but the
          tip speed of option (b) of 74 m/s would be less likely to be acceptable, except at
          remote sites or offshore. This subject is considered further in Section 6.9.


          6.5.6 Visual appearance

          Although the assessment of visual appearance is essentially subjective, there is an
          emerging consensus that three-bladed machines are more restful to look at than
          two-bladed ones. One possible reason for this is that the apparent ‘bulk’ of a three-
          bladed machine changes only slightly over time, whereas a two-bladed machine
          appears to contract down to a one-dimensional line element, when the rotor is
          vertical, twice per revolution. A secondary factor is that two-bladed machines
          generally rotate faster, which an observer can also find more disturbing.


          6.5.7 Single-bladed turbines

          Apart from the saving in rotor cost itself, the single-bladed turbine concept is an
          attractive one because of the reduction in drive train cost realizable through
          increased rotational speed (Section 6.5.2). An obvious disadvantage is the resulting
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