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Instrument and control transformers:  application  and selection  15/479
         15.6.6 Special-purpose current transformers,
               type 'PS'
         These are protection CTs for special applications such as
         biased  differential  protection,  restricted  ground  fault
         protection and distance protection schemes, where it is
         not possible to easily identify the class of accuracy, the
         accuracy limit factor and the rated burden of the CTs and
         where  a  full  primary  fault  current  is  required  to  be
         transformed  to  the  secondary  without  saturation,  to
         accurately monitor  the  level of  fault and/or unbalance.
         The type of application and the relay being used determine
         the  knee  point  voltage.  The  knee  point  voltage  and
         the  excitation  current of  the  CTs  now  form  the  basic
         design parameters for such CTs. They are classified as
         class  'PS'  CTs and can  be  identified by  the  following
         characteristics:
           CTR = lplI\
           Rated test winding current
         0  Nominal turn ratio (the error must not exceed k 0.25%)
           Knee point voltage (kpv) at the maximum secondary
           turns,
                                                                          u
                                                               L     2    -G
           v,  2 2v*,
                                                        f,, F2 - 2 sets of  identical class PS CTs
           where Vk = knee point voltage and            Relay - High impedance three element differential protection relay
                V,  = maximum  voltage  developed  across  the   Wp - Windings of a power equipment or section of a power system
                    relay  circuit  by  the  other  group  of  CTs   to be protected
                    during a severe most through fault.
                                                       Figure 15.22  A circulating current scheme to provide a phase
           Maximum  magnetizing  (excitation)  current  at  the   and a ground fault differential  protection
           voltage  setting  (VfJ  of  the  relay  or  at  half  the knee
           point e.m.f. to be 5 30 mA for 1 A CTs for most high-   as illustrated in Figure  15.23.
           impedance schemes. The manufacturers select a proper
           iron core to limit this to help reduce the effective relay   Applying this law to a three-phase, three wire system.
                                                          +
           current setting and improve its sensitivity. Magnetizing   iR i, + iB = 0
           characteristics, V, versus I,,,,  (V, being the CT secondary
           voltage  under  rated  conditions),  as  shown in  Figure   and to a three-phase four-wire system
           IS. 19, are provided by  the manufacturer to facilitate
           relay  setting.                              I, + iu + I, + I, = o
           Maximum resistance of the secondary winding corrected
           to  90°C  or  the  maximum  operating  temperature   When  a three-phase  four-wire system feeds non-linear
           considered.  In  fact,  it  should  be  substituted  by  the   or  single-phase loads  this  balance  is  upset  and  the
           actual operating temperature.               unbalanced current flows through the neutral. The same
             We  discuss  below  a  high-impedance  differential   relationship can be expressed as
                                                                     -
                                                                -
                                                            -
           protection scheme to provide a detailed procedure to   - IR + IY + 10 = In.
           sclect PS Class CTs.
         1 High-impedance differential protection scheme
         The scheme primarily detects an inter-turn fault, a ground
         fault or a phase  fault. It can thus  protect a bus  system
         and  windings  of  critical  machines  such  as  generators,
         transformers and reactors in addition to a ground fault.
         The differential  system is a circulating  current  system
         between the two winding terminals of the equipment or
         each section of a multi-section bus system being protected
         as illustrated in Figure  15.22. The scheme is based on
         Kirchhoff's  law, which defines that  the phasor  sum of       ....
         the currents entering a node is zero, i.e.                     I, + I,  + I,  + I,  = 0
         _   -   _   -                                  Figure 15.23  Kirchhoffs law - sum of currents entering a node
         II + I.  + 13 + I? = 0                         is zero
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