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15/482  Industrial Power Engineering and Applications  Handbook
        n                T                             Sensitivity
                     T   I                             This is the ability of  the scheme to detect the weakest
                tit
        Y                                              internal fault.
                                                       Stability
                                                       This can be defined by the most severe external fault at
                                                       which the scheme will remain inoperative. It should also
                                                       remain inoperative in healthy conditions. That is it should
                                                       be immune to the momentary voltage or current transients
                                            Relay      and normal harmonic contents in the circulating current.
                                                       Series LC-filter circuits are generally provided with the
                                                       relay  coil to  suppress  the  harmonics and to detect the
                                                       fault current more precisely.

                                                       Use of stabilizing  resistance
                                                       It is possible that the voltage Vf, may become sufficiently
                                                       high  to cause a  spill  current on  a through-fault  higher
                                                       than the relay pick-up current, I,[. To ensure that no spill
                                                       current higher than the relay setting, Is,, will flow through
                                                       the  relay  circuit  under  a  through-fault  condition,  the
                                                       impedance of the relay circuit is raised substantially. It
                                                       can  be  obtained  by  using  a  stabilizing  resistance,  R,,,
                        (a) Power circuit              such  that  the  differential  circuit  will  act  like  a  high-
                                                       impedance path  for this  spill current, compared to the
                                                       very  low magnetizing  impedance  of  the  saturated CT.
               L,                                      This resistance is shown in Figure 15.26(b). It will allow
                                                       a  current  of  less than  the relay  pickup  current,  Is,. To
                                                       fulfil  this  condition,  the  impedance of  the  differential
                                                       circuit must be a minimum to ensure



                                                         The normal practice is to choose R,, based on the setting
                                                       voltage required. In the above equation, Vft is the minimum
                                                       voltage  required  across the relay  branch  (R, + Rst) for
                                                       pushing  a  current  equal  to I,, to ensure  that  the  relay
                                                       stays  immune  on  a  through-fault.  During  an  internal-
                                                       fault, the fault current is much more than I,,, and hence
                                                       it is easy to detect. The equation also implies that R,,  is
                                                       chosen high to limit the relay current during a through-
                                                       fault (assuming that one of the CTs is fully saturated) to
                                                       less than its pickup current. Solving the above equation
                                                       for R,,,
                                          short circuited

                                                         Since  the  additional  resistance  will  stabilize  the
                                                       protective scheme during a maximum through-fault condi-
                                                       tion without raising the relay setting, Is,, it is appropriately
                                                       termed the stabilizing resistance. Figure 15.27 shows an
                                                       arrangement  in  a  relay  circuit  and  for the  purpose  of
                                                       illustration,  it  is  shown  separately  in  various  control
               L2
                                                       circuits (Figures  15.24, 15.25(b) and Figure 25.26(b)).
                Vn = & (RCT + RO                         As standard practice, this resistance is supplied with
                I,,  = Fault level of the equipment under protection   the relay by the relay manufacturer. It is of variable type,
                                                       to suit system conditions and the actual fault level. The
                        (b) Control scheme
        Figure 15.26  Power circuit and control scheme during a very   *This  is  relay-specific.  The  manufacturer  may  specify  VA
        severe external fault condition                corresponding to its rated current of  1 A or 5 A or setting current I??
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