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       subject to frequent restrikes, and are vulnerable to damage,
       while the actual extinction of an arc will take place only
       at  a  natural current zero, To  cope with  such situations
       the  interrupters  must  be  fast  operating.  Figure  19.27
       illustrates  the  restriking  phenomenon  of  the  parting
       contacts during current chopping that is assumed to occur
       at point ‘a,’, on the current wave. The actual current and
       voltage  waveforms  may  differ  from  assumptions,
       depending  upon  the  speed  of  the  breaker,  rate  of
       deionization,  current being  interrupted,  its p.f.  and the
       instant  at  which  the  interruption  initiates. In  addition,
       the surge impedance of the circuit being interrupted. We
       assume that the TRV may rise to 2.5 p.u. and is interrupted
       by  the immediate first current zero (i.e.  at point  ‘a’ in
       Figure 19.27) in about 0.02 part of one half of a cycle of
       a  50 Hz wave. During  this period,  if  we  consider the
       surge frequency  of  the interrupting  circuit to be of the
       order  of  13 kHz*  the  arc  may  restrike  for  nearly  2.6
       cycles or 5 times before a final interruption as determined
       below.
         Time for 0.02 part of one-half of a cycle of a normal
       frequency wave of SO Hz, during which current chopping       qsb;  T&T            -
       occurs:
                                                                      Motor
                                                                                    I,
                                                                     windings   I---- ....... *.-------!
                                                                             ~
          1
              1
                x
        = - x - 0.02 second
          2   50                                             = Load current
                                                         ir, iv, ib = Charging or restriking currents
        :.  Number of completed cycles of the TRV at the surge   C,, C,,  C,  = Interphase dielectric leakage lumped capacitances
        frequency of  13 kHz
                                                      Figure 19.28  One pole opening.
                   1   1
                         x
        = 13 x  lo3 x - x - 0.02 cycles               Restriking phenomenon  in phase ‘R’ causing charging currents
                   2  so
                                                      in phases ‘Y and ‘13’ which are still closed
        = 2.6 cycles (approximately  S  restrikes)
         By the immediate first current zero it is assumed that   first  and  faces  a  restrike  of  the  arc,  leading  to  surge
        the contacts have travelled  sufficiently apart to achieve   frequency currents, similar (balancing) currents will be
        thc  rcquircd  deionization  and  have  built  up  adequate   induced in the other two phases that are still closed, in
        dielectric  strength to withstand  at least 0.95 V,.  If  the   addition to the normal current, I,,  that these poles will
        circuit does not interrupt at the immediate current zero   still be carrying. The result will be that when these two
        at ‘a’, which is so near to the point of chopping ‘a,’, the   poles also open the charging currents at a surge frequency
        intcrruption will take place only by the next current zero   may virtually force a faster or premature current zero in
        at point ‘b’ and result in another 260 strikes by then. To   phase  B, as illustrated in  Figure  19.29. This is  termed
        study more  accurate behaviour  of  an  interrupter, with   virtual current chopping and may cause an additional TRV.
        the number of restrikes and the formation of the actual   The amplitude of this TRV, however, may not be large
        transient  voltage  waveforms  on  current  chopping,   due to a generally low surge impedance of the interrupting
        oscillograms similar to those during a short-circuit test   circuit during an  interruption.  It may achieve a level of
        may be obtained (Section  14.3.6).            only 0.6-0.7  p.u. (see Telander et al.  1986), which  may
                                                      sometimes prove fatal  for the insulation  of the terminal
                                                      equipment due to its steepness. Charging currents would
        19.7  Virtual current chopping                develop in  phase  Y also (at point  ‘y’, but  not  shown to
                                                      avoid overlapping of curves). But current chopping is not
        This  may  occur during  the  interrupting  process  of  a   possible in this phase because pointy’ will fall further away
        switching device when not all the three poles will interrupt   from a current zero, on the one hand, and the Y-phase would
        simultaneously. It is corollary to a closing phenomenon   carry a near-maximum current at this instant, on the other.
        (Section  17.7.2(ii)) when not all the three poles make at   Current chopping is a phenomenon of small currents.
        the same instant. This will  also endanger the insulation
        of the other two phases. The interphase dielectric leakage
        capacitances, as illustrated in Figure 19.28, are the cause.   19.8 Containing the severity of
          When one of the poles, say of phase R, starts opening   switching surges
        *It  is seen that  the surge frequency  during current chopping may   19.8.1  Theory of energy balancing
        rarely exceed 20 kHz and which, in the context of switching surges,
        may be  considered as low-frequency  oscillations,  easy  to handle   From the  above  we  can  deduce  that  at  the  instant  of
        and interrupt.                                current chopping the arc extinguishes for a moment and
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