Page 137 - Electrical Safety of Low Voltage Systems
P. 137

120   Chapter Seven


                                  FIGURE 7.4
                                  Fault-loop in TN-S
                                  systems.
















                             7.2 Voltage Exposure in TN-S Systems
                                  Let us conservatively assume that persons are exposed to the prospec-
                                                     1
                                  tive touch voltage V ST . The fault-loop, not involving the actual earth,
                                  is diagrammatically represented in Fig. 7.4, where the symbols have
                                  the same meaning as in Fig. 6.2.
                                     In order to obtain the prospective touch voltage to which persons
                                  will be exposed, we apply the Thevenin’s theorem between point A
                                  (i.e., point of contact with the faulted ECP) and G (i.e., the ground). We
                                  can reasonably neglect the internal impedance Z i of the transformer
                                  if the fault occurs at a sufficient distance from it. Modules of Z ph and
                                  Z PE , in fact, proportionally increase with the quantity of conductor
                                  interposed between the source and the fault, and they both become
                                  much larger than Z i .
                                     Figure 7.5 shows the Thevenin’s equivalent circuit as seen between
                                  the two aforementioned points, where
                                                    V ph Z PE      V ph
                                             V   =           =             = V          (7.1)
                                                                           ∼
                                               Th                              ST
                                                   Z   + Z     (Z /Z ) + 1
                                                     ph   PE     ph  PE
                                                            Z ph Z PE
                                                     Z   =                              (7.2)
                                                      Th            + R N
                                                           Z  + Z
                                                            ph    PE
                                  FIGURE 7.5
                                  Thevenin’s
                                  equivalent circuit
                                  between point A
                                  and point G.
   132   133   134   135   136   137   138   139   140   141   142