Page 801 - Industrial Power Engineering and Applications Handbook
P. 801

Power capacitors: behaviour, switching and improvement of  power factor  23/757
                                                     devices  such  as the switch  or the  contactor  will  generally
                                                     have a  making  capacity  of  nearly  eight  times  (peak value
                                                     fi x 8) its normal rating. (See the note below.) These data
                                                     are provided by the component manufacturers. Let us therefore
                                                     assume that  /;
                                                                 is to be restricted up to  & x 125 x 8,  Le.
                               t  0.413 pH           may  be  obtained  from  the  manufacturers'  catalogues).
                                                     & x 1000 A (the actual value may be more than this, which
                                                     Therefore, in the above case,
        415 V                  1                             415'  x2x5x9x12Ox5-~
          I                      9 x 120pH                L=
                                                               3 x 6 x 6 x 2 x 1000'   3  pH
                                                                   0.4
                                                           = 43.06 - - pH
                                                                    3
                                                     or    42.93 pH
                                                     If we  are able to provide  an  inductance  of  this  value  with
      415 V                                          each capacitor  bank  of  60 kVAr the  problem  of  excessive
             -
            $                                        inrush transient current can be overcome and the component
                                                     ratings as chosen above will be sufficient to switch a parallel
                                                     circuit.
                     (a) Equivalent A
                                                     Step 4: Reactive power of the series inductance
                                                     However small, the reactive kVAr of  series inductance may
                                                     be, it would offset as much of the capacitive kVAr. It would be
                                                     worth while therefore to keep this aspect in mind to ensure
                                                     that  the capacitive  kVAr  chosen  to  improve the  p.f.  of  the
                                                     system to a certain  level is not over-adjusted.  Otherwise a
            415 V                                    higher capacitive kVAr would become necessary to achieve
              I                                      the same level of p.f. as was envisaged initially. In the above
                                                     case,
                                                                      1:  .x,
                                                      Inductive kVAr = 3 x - reactance in Wphase]
                                                                               =
                                                                           [X,
                                                                      1000
                                                     where      /,  = the capacitive current  I,
                   (b) Normal connection A                       = 83.5A
                                                     and       x, = 2n x 50 x 42.93 x   Wphase
                                      L   0.413pH
                                                                 = 0.0135 n
                                                                      (83.5)'~ 0.0135
                                                     :.  Inductive kVAr = 3 x
                                                                          1000
                                                                 = 0.28
                                         J
                                                     which is even less than 0.5% of the capacitor kVAr per bank
                                          9 x 120
                                                     and may be ignored.
      i                                              Note
                                                     1  For large LT or HT banks compensating large installations,
       -1             3     4     5            6       transmission or distribution networks, the value of series
                                                       reactance  may  become  large.  In  which  case,  the
      Steps
                                                       significance of the above phenomenon will appear to be
                   (c) Equivalent switching circuit    more meaningful. It is, however, seen that in view of the
                                                       line impedances (which have been ignored in the above
            Figure 23.27  Equivalent switching circuits   estimate) the actual reactance may not normally be required
                                                       by more than 0.5% to 1 Yo of the total installed kVAr. Using
                                                       a series  reactance  equal to 0.2% of  the  kVAr  rating to
                                                       control the inrush currents is quite prevalent.
            +
     or [y L) = 415'  x  2 x 5 x 9 x 120 x 5         2  In HT systems, where  a series  reactor is already being
                                                       used, to suppress the system harmonics this would also
                         3x6~6~1;~
                                                       serve to limit the switching inrush currents and no separate
                                                       reactor would be necessary.
                               -Ep~
     or  L=  415*  ~2~5~9~12OX5                      3  Since a series reactor is of a relatively small value, it may
               3x6x6xI&'          3                    not be able to withstand  the system fault conditions.  In
       In this case we  have considered  the switching  device to   that case, it is advisable to connect it on the neutral side
     be rated for 125Afor each bank. In an LTsystem the switching   of the star-connected  bank rather than on the line side.
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