Page 635 - Industrial Power Engineering and Applications Handbook
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        illustrated  in Figure  18.13, and transfers  a substantial
        amount of the first peak  of  the incidence surge on the
        primary  side to the  secondary side. The surge voltage
        transfer can be expressed by
               c
         v  -A.                                (8.7a)
          IC - c, + c,   VI  .P
        where                                          f,  = Ips
        V,,  = voltage of surge transference
        Cp = lumped capacitance between the primary and secon-      -  1  1
             dary windings                                                            I,
         C,  = lumped capacitance of the lower voltage side.
             These values are provided by the transformer manu-   V,  - Surge on the primary side
             facturer.                                 fit, - Surge transference on the secondary side
         V,  = Prospective voltage surge that may appear on the   C, - Lumped capacitance between the primary and the secondary
             primary side. If an arrester is provided on the primary   windings
             side, this voltage is limited to the residual voltage   C,  - Lumped capacitance of the lower voltage side
             of  the  arrester  (Vre5). In  both  cases, consider the   C’  - Protective capacitance
             higher voltage such as during an FOW. In fact, the   C  - Capacitance of cable and equipment connected on the lower
             lumped capacitances will provide the arriving surge   voltage side
             with a short-circuit path to the ground and help to
                                                       Figure 18.1 3  A transformer as a capacitor voltage divider, drawn
             dampen transference to the secondary to some extent.   for one phase
             But these  effects  are  not  being  considered to  be
             more conservative.
         p  = a factor to account for the power frequency voltage
             already existing when the surge occurs. IEC 6007 1 -   (b)  For a switching  surge, p  = 1.0 in both the above
             2 has suggested a few typical figures as noted below:   cases.

         (a)  For a lightning surge and FOW :          A  lightning  surge  and  an  FOW  have  more  influence
            For Y/A or A/Y transformers, p  = 1.15     compared to a switching surge due to the former’s higher
            For Y/Y or &A  transformers, p  = 1.07     surge frequencies, f,.
                                                         Margins can be added to account for the severity of
                                                       the surges, depending upon the type of installation and
                                                       its criticality.
                                                         For high transformation ratios when V,lV2 is high, Cp
                                                       >> C, and the incidence surges tend to transfer the whole
                                                       of  their severity to the secondary  side. Cp/(Cp + C,)  is
                                                       the  ratio  of  transference  when  the  secondary  is  open
                                                       circuited. Transference is highest when it is open circuited.
                                                       This  ratio  will  generally  lie  between  0 and  0.4  (IEC
                                                       60071-2), but the exact figure must be obtained from the
                                                       manu-facturer,  when designing the protection  scheme.
                                                       In service, there are a number of load points connected
                                                       to it, influencing the electrostatic value in the denominator.
                                                       If ‘C‘ is the capacitance of the cables and the equipment
                                                       connected on the lower voltage side of the transformer,
                                                       the transferred surge will be reduced to
                                                        v-      CP     vt  .P                (18.7b)
                                                         IC - c, + c, + c
                                                         The front  of  the transferred  surge will,  however, be
                                                       less steep and dampened than on the primary side due to
                                                       capacitive dampening. But sometimes this may also exceed
                                                        the  BIL,  particularly  of  the  tertiary  (if  provided)  and
                                                        also the  secondary windings of the transformer, as well
                                                        as the cable and the terminal  equipment connected  on
                                                        the lower voltage side. This is especially the case when
                  L.V.      H.V.                        the primary  side voltage  is  very high  compared to the
                                                        secondary. Protection of the secondary windings, in all
         Figure 18.12  Distribution of winding inductances and leakage   probability, will be sufficient for all the cables and terminal
         capacitances  in a transformer shown for one winding   equipment connected on the secondary side.
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