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         the circuit parameters and produces voltage surges. Those
         arising out of switching operations are attributed to internal
         causes. In this chapter we limit our discussions to  the
         phenomenon of voltage surges, as related to internal causes
         and particularly as a result of switching. The requirement
         and the type of protection remain the same for external
         or internal causes of system disturbances.

         17.6  Definitions

         In the following text we will use a few new terms. For
         the sake of more clarity on the subject these are defined
         as follows.

         17.6.1  An impulse                                        Time (ps)-
                                                                  f,  = Virtual front time
         An impulse is an intentionally applied voltage or current   = 1.67t
         in a laboratory. It is in the form of an aperiodic and uni-   t'  = 0.3t~ = 0.5t
         directional waveform (Figure 17.2). It rises rapidly without
         appreciable oscillations  to  a  maximum  value and then   Figure 17.3  Defining a voltage or a current impulse waveform
         falls,  usually  less  rapidly,  to  zero,  with  small,  if  any,
         loops of opposite polarity (Figure 17.4). The parameters

                                                        which define a voltage or a current impulse are its polarity,
                                                        peak value, rate of rise (front time) and time to half  its
                                                        value on the tail, as noted later.
                                                         A transient of an external or internal nature, as discussed
                                                        above, is then related to one such type of  impulse,  for
                                                        laboratory testing a particular equipment or system, to
                                                        establish its suitability.

                                                       Identifying  an impulse  waveform
                                                        The  distinction  between  a  lightning  impulse  and  a
                                                        switching  impulse  may  be  made  on  the  basis  of  the
                                                        duration  of  the  wave  front  (shape),  rather  than  of  its
                                                        origin. A voltage impulse with a wave front duration of
                        Front time (ps) --t             less  than  1  ys,  up  to  some  tens  of  ps, is  generally
                       A  12/50 ps waveform             considered as a lightning impulse (Figure 17.2(a)) whereas
                   (a) Lightning impulse waveform       an impulse with a front duration of some tens of thousands
                                                        of ps is a switching impulse (Figure 17.2(b)) according
                                                        to IEC 60060-  1. The type of wave is generally designated
                                                        as tl/t2 (Figure 17.3), where

                                                        1  tl  = virtual front time of an impulse:
                                                            For  a  voltage  impulse having  a front  duration  of
                                                            less than 30 ys  (normally lightning surges)
                                                            tl = 1.67 x time taken by the impulse to rise from
                                                               30% of its peak value to 90%
                                                            For a voltage  impulse having a  front duration  of
                                                            more than 30 ys (normally switching surges)
                                                            tl = 1.05 x time taken by the impulse to rise from
                                                               0% to 95% of its peak value
                                                            For the  sake  of  laboratory  testing  and  analytical
                                                            studies,  these  surges  have  been  represented  by
               250        Front time (ps) -  2500           standard  impulse  waveforms.  According  to  IEC
                      A 250/2500 ps waveform                60060-1 a  1.2/50 ys  impulse is called a  standard
                    (b) Switching impulse waveform          lightning  impulse,  and  a  250/2500 ys  impulse  a
                                                            standard switching impulse.
                Figure 17.2  Standard impulse waveforms     For equivalent current impulses,  such as  8/20 ys
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