Page 632 - Industrial Power Engineering and Applications Handbook
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Surge arresters:  application and selection  181597
          which  such  levels  can  be  quickly  established,  except   E-.
          experience. The project engineer is the best judge of  the
          most appropriate level of BIL, depending upon the surge            I Junction (E + E’)
          protection scheme. Below we briefly discuss the effect
          of  surge reflections  and transferences  on the  safety of
          equipment to arrive at the right  choice of  BIL and the
          surge protection criteria.

          18.5.1  Reflection of the travelling waves
          The behaviour of’ a transient wave at a junction of  two
          conductors, such as at junction Jin Figure 18.8, is similar         Surge impedance -
          to that of water, when it passes through one large-diameter   -Surge   impedance
          pipe to another of a smaller diameter. Some of the water   VSl)         (ZSi
          will  flow ahead and the remainder will backflow  at the   E  = Incident wave
         junction. Similarly, a transient wave will  also reflect in   E’  = Reflected wave
          part  or in  full at a junction between two conductors of   E”  = Refracted wave
          different  surge  impedances,  depending upon  the  surge
          impedance of the circuit ahead of the junction. This would   Figure 18.9  Illustration of the reflection of a TRV at a junction
          give rise to two types of waves, i.e.
                                                        and the voltage of the refracted wave
           Refracted wave: a wave that is transmitted beyond the
           junction.                                    E”  = E + E‘
          0  Reflected wave: a wave that is repelled at the joint.          )
                                                           =E+E-( z,,   - z,,
          See Figure  18.9                                          zsz  + zsi
           To analyse this phenomenon refer to Figure  18.8,
                                                                                              (I 8.4)
          If  Z,,  = surge impedance of the incoming circuit
             Z,,   = surge impedance of the outgoing circuit (Figure   If the outgoing circuit is inductive (Figure 18.8(b)) as in
                  18.8(a))                              a motor, transformer or an inductor coil, with an inductance
              E = voltage of the incident wave (incoming wave)   L then
              E’  = voltage of the reflected wave.
             E”  = voltage of  the refracted (transmitted) wave.                              (1 8.5)
          then  the voltage of the reflected wave
                                                        and if it is capacitive (Figure 18.8(c))  with a capacitance
          E’  = E, zs2  - zsi                   (I 8.3)   C then
                 ZS? + zsi
                                                                                              ( 18.6)

                                                          This can also be derived for a combined R, L  and C
               Junction                                 circuit to obtain more accurate data. Generally. the figure
           Y-7                                          obtained through equation (18.4) is simpler, quicker and
                                                        provides almost correct information for the purpose  of
                                                        surge  analysis,  and  is  used  more  in  practice.  Where,
                                                        however, more accurate data are necessary, such as for
                                                        academic interest, then the morc rclcvant formulac may
                                                        be used.
                      E 3
                                                          Surge  impedance  thus  plays  a  significant  role  in
                  (a)                                   determining the  magnitude  of  the  reflected  wave  that
                                                        matters  so much  in  adding to thc TRVc. (Also refer to
                                                        graphs of Figure  17.7 corroborating this analysis.)
                                                          When the circuit is open at the junction  then
                                                          zs2  =
                                                          E‘  = E, Le. the travelling wave will  reflect  in  full.
                                                          The voltage at the junction
                                                          =E+E‘
             Figure 18.8  Different parameters of  switching circuits   =2E
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