Page 410 - Power Electronics Handbook
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Electrical machine control   399

                   Due to the high efficiency at all speeds, variable-frequency control is
                 suitable for motors of  all sizes requiring infinite speed variation coupled
                 with high performance. Frequency control can be accomplished statically
                 by inverters or cycloconverters, as described in Chapters 10 and 13.
                   In Chapter  13 various forms of  inverter voltage-control systems were
                 discussed,  and  Figure  14.50  shows  the  motor  voltage  and  current  for
                 quasi-square  wave  control.  The  stalled  current  corresponds  to  that
                 discussed in Chapter 13, but when the motor is running, the back e.m.f.
                 distorts  this  current  waveform so  that  it  is  now  difficult to  determine
                 equations for the ratings of  the inverter design.
                   Figure  14.51  shows  the  output  voltage  and  current  waveforms  for  a
                pulse-width modulated  inverter output voltage-control system, in which
                the current is seen to be relatively sinusoidal. Since the motor inductance is
                 low  a  higher  chopping frequency should be used  to reduce further the
                high-frequency  component  in  the  current.  This  is evident  from  Figure
                 14.52, which also shows the current distortion caused by motor back e.m.f.



























                Figure 14.51 Motor-stalled waveforms for a bridge inverter using pulse-width modulation with
                a sine wave.  fT = 555 Hz, fs = 20 Hz; (i) voltage; (ii) current

                 (3) Induced current control
                 In the previous sections the value of S,,,  was controlled by varyingfi.  From
                equation  (14.8) it  is  seen  that  the  same effect can  be  accomplished by
                changing the rotor resistance R2. Note, however, that S,  varies directly as
                 R2 but inversely as fi  so that Figure 14.48 also represents the characteristics
                for variable  rotor  resistance control.  There is one important  difference
                between this method of  speed control and that using variable frequency,
                since in this instance the stator field speed is constant so that at low speeds
                the slip energy is dissipated in the rotor resistance and the efficiency is low.
                  It is necessary to consider again the principle involved in the transfer of
                energy between stator and rotor. If  the rotating field gives power P to the
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