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           will  exert  a countertorque,  the  magnitude of  which
           will depend upon the motor speed above synchronous.
           Such braking conditions may occur automatically in
           downhill  conveyors,  lifts  and  hoists  etc.  while
           descending with the load, i.e. operating as an induction
           motor while ascending and as an induction generator
           while descending. The generator and the braking action
           ceases at synchronous speed. For speed control below   Jr
           synchronous speed, therefore, it will  be essential to
           employ a multi-speed motor which, at a higher speed,   0
           can be switched to the lower speed winding to make
           the motor work as a generator between the high and
           the low speeds. Such a braking method, however, has   BJ
                                                        QF
           only  limited commercial  applications,  as in  a sugar   52
           centrifuge motor (Section 7.4).
              With  the  application  of  solid-state  technology,
           however, as discussed above, the potential energy of
           the loads in hoists, lifts and conveyors during descents
           can be saved and fed back to the source.
                                                           0                100%              200%
                                                                  Motoring   Speed -
                                                                                    Generating
         6.21  Induction generators                                                (Super synchronous
                                                                                   speed region)
         During  generator action,  the  slip,  and  currents  of  the   /M  - Motoring current drawn from the source
         stator and the rotor are negative. The motor draws reactive   IC   - Generating or braking current fed to the source
         power from the source for its excitation (magnetization)   Figure 6.61  Current, torque and speed characteristics of an
         since it is not a self-excited machine. However, it feeds   induction generator
         back to the supply system an active power almost equal
         in magnitude to the motor rating or slightly less or more,
         depending  upon  its  supersynchronous  speed.  As  an   G = 43 x 380 x 185 x 0.89 x 0.97 w
         induction generator, it can feed back to the supply source   (considering r~ as = 100%)
         roughly equivalent to its h.p. at the same negative slip,   = 105 kW
         say, 3-5%,  as the positive slip, at which it operates under
         normal conditions and delivers its rated h.p. As a result   and the kVAR consumed by the induction generator from the
         of  the absence of the reactive power, which is now fed   source of  supply,

                                                                       -
         by the source and the mechanical losses that are fed by   I & x 380 x  185 x 4
         the wind, the power output of an induction generator is   -
         usually more than its power consumption when working      0.97 x 1000
         as a motor (Figure 6.61).                        = 57.24 kVAr
           The power factor, however, is poor because of higher
         negative slip. The power output is expressed in the same   Corollary
         way as the motor input, i.e.                   The power output of  an induction motor, when operating as
                                                        an induction generator, is usually more than its output when
                                                        working  as a motor.  There  are no  mechanical  or  windage
         GI = J~.I,.V.COS$.K                    (6.12)   losses which  are fed  by  the mechanical power that  makes
                                                        the  motor  run as a generator, such as the potential energy
         where                                          accumulated  during downhill conveying or wind  power etc.
            GI = generator output  at the  same negative  slip as   The  power  output  is  approximately equal  to  the  effective
                for the  motor.  See also  Figure  6.61  and  the   power intake except for the lower power factor and resistive
                circle diagram of Figure 1.16, redrawn in Figure   (copper) losses, that are ignored above.
                6.62 for an induction generator          The circle diagram (Figure 1.16) reverses in this case and
             K  = factor to account for the  lower p.f.  at  higher   the magnitude of  braking torque  and  corresponding  stator
                                                        and rotor currents can be ascertained at any particular speed
                negative  slips  when  working  as an  induction   from  this  diagram  redrawn  in  Figure 6.62. A  study  of  this
                generator (say, 0.97).                  diagram will  reveal that for a motor’s normal running speed
             IG = generator rated current in A.         N, to reach the synchronous speed Ns, the motor will behave
          cos Q = generator rated p.f. which is quite high compared   as a  generator  without  output (region DIPl) and  will  draw
                to a motor, as the reactive power is now supplied   power from the main supply to meet its no-load core losses
                by the external source.                 and friction losses etc. (DIPl). This will  deliver active power
                                                        back to the main supply as soon as it exceeds its synchronous
                                                        speed. The maximum power that can be delivered is measured
         Example 6.4                                    from  the no-load line of  the  motor to the output  line  of  the
         For  a  100  kW,  380  V  induction  motor  operating  at  an   generator  (DlP2) minus the  no-load losses  (DIP,), i.e. the
         approximate  r~ of  92.2%, having  I,  as 185 A and cos @  as   downward hemisphere from the centre line or the generator
         0.89, the output as an  induction generator will  be   output line (PlP2).
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