Page 772 - Industrial Power Engineering and Applications Handbook
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Power capacitors: behaviour, switching and improvement of  power factor  23/729

          Switching overvoltages
          Harmonic effects and inductive interferences and
          Excessive charging currents.

        These aspects are discussed briefly  below.

        23.5.1  Switching overvoltages (surges)
        This  phenomenon  is  generally  associated  with  an  HT
        system. We have discussed in Section 17.7 the subject of
        switching  surges  as  related  to  an  inductive circuit.
        Switching phenomenon in a capacitive circuit is equally
        important, and a little more complex. It therefore requires
        more  careful  handling  of  this  device.  Although  the
        switching  behaviour  of  a  capacitor  circuit  is  almost  a
        replica of an inductive switching, its current leading the
        applied voltage by 90" results in more complex behaviour
        than an inductive circuit during a switching operation.                            C1
          The phasor displacement between the voltage and the   (a) Grounded star  (b) Ungrounded star  (c) Delta connection
        current in an inductive circuit, particularly an induction
                                                       Figure 23.3  Configurations and grounding methods of capacitor
        motor  or a  transformer,  is  much  less  than  90" during   banks
        normal  operation. At  a  p.f.  of  0.65, for  instance,  the
        currcnt will lag the voltage by 49" and at a p.f. of 0.9 by
        25".  During  the  most  severe conditions,  such  as  on  a
        fault, at near a p.f. of 0. I, the current will lag the voltage
        by 84" and at a p.f. of 0.3 by 72". In capacitor switching,
        in addition to 90" phasor displacement between the applied
        voltage and the current, under all conditions of switching                       1
        there will  also appear an overvoltage across the parting
        contacts, depending upon  the  grounding  method of  the                         7 c1
        capacitor units, their configuration and the applied voltage.
        All such overvoltages must be limited within the impulse
        withstand  level  of  the  capacitors,  as  noted  in  Section
        26.32. We have analysed thete aspects for the following
        capacitor configurations:
                                                            Rand X,  are voltage damping impedances
          Grounded star (a widely adopted practice in LT systems)
          Ungrounded  star                                  Figure 23.4  A single capacitor switching
          Delta connections and
          Parallel switching of capacitor units.
                                                       when the arc ceases again and the contacts try to interrupt,
        (i)  Grounded star capacitor units             they  will be subjected to a TRV of  3 P.u., the capacitor
                                                       unit still retaining the charge. Refer to point bb"  on the
        See  the  arrangement  shown  in  Figure  23.3(a)  and  its   voltage wave. It is possible that the contacts are not able
        equivalent  single-phase  circuit  in  Figure  23.4. We  are   to travel sufficiently apart to build up the required dielectric
        discussing  the  phenomenon  of  switching  overvoltages   strength, and the arc may strike again. At the next current
        associated with an HT system. An LT system, although   zero (point c'  on the current wave), when the contacts
        not immune to over-voltages, causes no restriking between   have travelled by another one half  of a cycle, they will
        the parting contacts of the interrupting device as a result   be subjected to four times the system voltage CC"  on the
        of  inadequate transient recovery voltage (TRV; Section   voltage  wave,  considering  that the  capacitor  unit  may
         17.6.2) and generates no switching surges.    still  be  retaining  its  charge.  The  arc  may  now  be
          Consider the opening of a switch on one pole (Section   extinguished as a result of self-attenuation, as the contacts
        19.7) at the instant of  contact interruption, say at point   will have travelled sufficiently  far apart to withstand the
        11'  on the current  wave  (Figure 23.5). The current  will   TRV and interrupt the circuit. The process may be repeated
        lead the voltagc by 90" and the parting contacts will be   if  the dielectric strength or the travel  of  the contacts is
        subjected to a full system voltage of I p.u. Refer to point   not sufficient to withstand a TRV of four times the rated
        'a'  on  the  voltage  wave. In  addition, the  contacts  will   voltage. It will continue to do so until the process attenuates
        also be subjected to the trapped charge of  1 p.u. within   on its own due to circuit parameters Land C, the decreasing
        the capacitor unit, which it will retain for a while. If the   capacitor charge and adequate travel of the moving contact
        contacts fail to interrupt at  point a', the arc will  strike   of the interrupting device and extinguish the arc to finally
        again  (re-ignition of  the  arc plasma,  Section  19.4). By   interrupt  the  circuit.  Field  experiments  have  revealed
        the  next  current  zero  (point  h'  on  the  current  wave),   that  overvoltages due to such repeated restrikes during
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