Page 303 - Power Electronics Handbook
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Inverter circuits   293











                                   fa)





                                                                           'L
                                                      t2           tg -----f-


                       (b)
                       Figure 13.8 Collector current waveform in transistor TR,  for the inverter of  Figure  13.7:
                       (a) with non-saturating transformer; (b) with saturating transformer


                        it further into the off state, whilst the base current to TR2 starts to increase,
                        turning it on.  The circuit will  therefore  rapidly  flip over  into the  state
                        where TR1 is fully off and TR2 is saturated. The next half cycle will now
                        commence, which ends at time t2 when the collector current through TR2
                        reaches a value where it can no longer be supported by its base current.
                         The peak collector current which the transistor can support, equal to the
                       sum of  the  load  current  and  the  transformer-magnetising current,  is
                       determined by its common emitter gain hFE and the magnitude of  the base
                       current t,. This is given by equation (I 3.2).

                         k(pk)  = hFEzB                                           (13.2)
                         The value of  the transformer magnetising current ZmG  depends on the
                       supply voltage VB, the inductance of the transformer primary winding LPm
                        and the on time of  the transistor tc, as in equation (13.3).

                                                                                  (13.3)

                         Therefore from equations (13.1), (13.2) and (13.3) the on time tc, which
                       determines the frequency of  the inverter, is given by equation (13.4).

                                                                                  (13.4)
                         This  equation  shows  the  major  limitation  of  this  inverter  circuit  in
                       certain applications, since the frequency vanes with the magnitude of  the
                       load current, being lowest at light loads. This variation in frequency would
                       affect  the  efficiency  of  the  circuit  and  also  that  of  any  filtering  and
                       decoupling components which may be used.
                         To overcome the problem of  frequency variation with load the linear
                       transformer in Figure 13.7 can be replaced by a saturable transformer, the
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