Page 880 - Industrial Power Engineering and Applications Handbook
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261832  Industrial Power Engineering and Applications Handbook
         across the capacitor  units  in phases  that have a higher   (established by  the capacitor manufacturers)
         voltage. A partial or total failure of a capacitor unit in a   where
         large capacitor bank will also cause an unbalance and an   V,, = unbalance  voltage across the open delta. This is
         overvoltage across the healthy units connected in parallel.   for grounded systems. For isolated systems it will
         Such  a  situation  is  not  desirable,  and  unless  detected   be three times this (Section  15.4.3).
         promptly, may result in a cascade failure of more units.
         It can be detected by the following methods for an alarm,
         indication or trip of the entire bank:
                                                         N  = number of units failed
                                                        N, = number of  units in series per group per phase
         (i)  Voltage unbalance                         N2 = number of  units in parallel  per group per phase.
         This method is applicable to single-star or delta-connected
         capacitor banks. Unbalance can be detected through the   A neutral displacement relay (NDR) with a suitable setting
         use of  an  RVT  (residual  voltage transformer)  (Section   may be used across the open delta for unbalance protection.
         15.4.3). See Figure 26.4. The theory of operation is that
         any unhalance, of the system or the capacitor bank, will   Example 26.2
         shift the neutral and reflect as the residual voltage across   Referring to Example 25.2,
         the open delta and can be used for the protective scheme.
         The unbalance voltage across the open delta in the event   V,,  = 44 kV
                                                        NJ = 4
         of failure of a unit in any series group can be expressed   N2  = 8
         by
                                                       Then the  unbalance  voltage  for  a  grounded  system,  on  a
                                                       failure of any one unit (assuming the capacitor units to have
                      ' vph
         vu =                                  (26.1)   external type fuses),  according to equation  (26.1)
              3N2. Ni  - 3N. N, + 2N
                                                        vu =      1 x 44 x  1000
                                                            3X4X8-3X1X4+2Xl
                                                          - 44 000
                                                          -  86
                                                          = 511.6 V
                                                                                   21
                                                                        d              d
                                                          c5






                                                                     VJ             VT

                                                                   \d
                    Ungrounded                                  Surge
                   capacitor banks   I                          arrester
                      Tertiary winding i
                                     ,
                                                                               Surge
                                       transformer (RVT)  " L
                                     I                                         arrester
                         To  the relay and   ~
                         control panel to
                         monitor discharge 1
                         conditions                                                         1
                      To the neutral





                                       Residual voltage
                                                         (a) One bank   (b) Two banks   (c) Three banks
         Figure 26.4  Detecting an unbalance in a capacitor bank
         through a voltage unbalance method              Figure 26.5  The use of  RVTs with large capacitor banks
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