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                                                      2  To determine the total resistance of the ground circuit
                                                        through the human body, the following may be adopted.
                                                        R2rs = resistance between the two feet in series
                                                        RZfp = resistance between the two feet in parallel
                                                        There are many formulae to determine the above, all
                                                        leading to almost the same results. The most adopted,
                                                        assuming a  layer of  crushed rock  (gravel) over the
                                                        ground surface, is expressed by
                                                        R2fs = 6 . c\ . P.;
                                                        and total  touch resistance RZfsb through the body

                                                           RZfsb  =   ' cs  ' Ps  -k  Rb
                                                               = 6 . C, . ps + 1000        (22.10)
                                                        and  RZfp = 1.5 x C, . p,
                                                        and total  step resistance, R2fp,, through the body
                      Allowable fime (sec.) --t
                                                            R2fp, = 1.5 x C,  . p, + Rb
          Figure 22.12  Limits of  touch voltages as a function of  time
                                                                = 1.5 x c, ' p\ + 1000     (22.1 1)
                                                        where Rb = body  resistance
          compared  to  the  resistance  through  the  ground.  To
          determine the likely body current it is therefore essential   = 100OQ
          to  determine  the  average  body  resistance.  On  this
          subject many studies have been made and the following   C, =  reduction  factor  for  derating  the  nominal
          data established (Figure 22.13):                      value of surface layer resistivity, correspond-
                                                                ing to a crushed rock layer of  thickness h,
          a = resistance hand to hand = 2300 R                  and a reflection factor k
          b = resistance hand to feet = 1130 R            where
          (A leather shoe is considered as a part of the body)   P - PI
          c = resistance between the two feet =lo00 Q        k= -
                                                                 P + Ps
          It is observed  that the body's  resistance  diminishes   and
          at  higher  voltages,  above  1  kV  and  currents  more   p = ground resistivity  in Riii
          than 1 A, passing through the body, due to a puncture   p\  = crushed rock  (gravel) resistivity in Rm
          of the skin tissues. For all safety measures and ground
          design  consideration,  the  average  human  body   Note
          resistance is considered universally, as 1000 R which   To achieve a liigli contact rcsiatancr ah a measure to provide higher
          has yielded satisfactory results.           safety  to  personnel  working  in  the  power  plant  and  switchyard
                                                      areas. common practice  is to spread a layer of concrete or crushed
                                                      rocks (gravel) over the finished ground surface. In the power plant
                                                      area. a layer of concrete ( 150-300  mm, depending upon the station
                                                      voltage)  is  spread to  provide  a  resistivity  of  nearly  500 Rm  or
                                                      more.  In  the switchyard area.  a  layer  of  crushed  rocks is spread
                                                      (75-150  mm) to provide a resistivity  of  nearly  2500-3000  Rm or
                                                      more. The  value  of  C, can  be  read  from  the  h, versus  K  curves
                                                      provided  by  IEEE 80, as in Figurc 22.14.

                                                      Example 22.6
                                                      Consider a  large  sub-station  grounding  system, having  a
                                                      layer of  crushed rock, 150 mm thick at the surface, having a
                                                      resistivity of  3000 Rm and the soil resistivity of  150 Rm:
                                                      :.  k =  150 - 3000 -  2850
                                                           150 + 3000   31 50
                                          Crushed         = - 0.90
           T                              rock
                                                      :.  C,  from Figure 22.14, corresponding to a rock surface of
                                                      150 mm
                                     /-SOll
                                                        = 0.7
             Figure 22.13  Resistances of  different body parts   :.  Ground resistance between the two feet in  series
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