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366                        CONCEPTUAL DESIGN OF HORIZONTAL-AXIS TURBINES


          6.10.2 Direct-drive generators

          There is considerable interest in the application of generators driven directly by the
          wind-turbine rotor without a speed increasing gearbox and a number of manufac-
          turers offer such wind turbines. However, the power output of any rotating
          electrical machine may be generally described by (Laithwaite and Freris, 1980):

                                                 2
                                          P ¼ KD Ln
          where D is the rotor diameter, L is the length, n is the rotational speed, and K is a
          constant.
            Thus it may be seen that if the rotational speed is reduced then it is necessary
          either to lengthen the generator in proportion or to increase the diameter. It is
          cheaper to increase the diameter as this raises the power by the square rather than
          linearly. Thus, direct-drive generators for wind turbines tend to have rather large
          diameters but with limited length (Figure 6.20).
            Induction generators require a rather small radial distance between the surface of
          the rotor and the stator (known as the air-gap). This is necessary to ensure an
          adequate air-gap magnetic flux density as all the excitation is provided from the
          stator. In contrast, synchronous generators have excitation systems on the rotor and
          so can operate with larger air-gaps. It is difficult to manufacture large diameter
          electrical machines with small air gaps for mechanical and thermal reasons. Hence
          direct-drive wind turbines use synchronous generators (either with permanent
          magnet excitation or, more usually, with a wound rotor and electromagnets
          providing the field). The use of a synchronous generator, in turn, leads to the
          requirement for solid-state frequency conversion equipment to de-couple the gen-
          erator from the network and permit variable-speed operation.




          6.11 Drive-train Mounting Arrangement Options

          6.11.1 Low-speed shaft mounting

          The functions of the low-speed shaft are the transmission of drive torque from the
          rotor hub to the gearbox, and the transfer of all other rotor loadings to the nacelle
          structure. Traditionally the mounting of the low-speed shaft on fore and aft
          bearings has allowed these two functions to be catered for separately; the gearbox is
          hung on the rear end of the shaft projecting beyond the rear bearing and the drive
          torque is resisted by a torque arm. The front bearing is positioned as close as
          possible to the shaft/hub flange connection, in order to minimize the gravity
          moment due to the cantilevered rotor mass, which usually governs shaft fatigue
          design. The spacing between the two bearings will normally be greater than that
          between front bearing and rotor hub in order to moderate the bearing loads due to
          shaft moment (see Figure 6.15 for an illustration of a typical arrangement).
            The opposite approach is to make the gearbox an integral part of the load path
          between the low-speed shaft and tower top i.e., an ‘integrated gearbox’. The fore
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