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Switchgear and controlgear assemblies 13/357
        where suffixes  1 and 2 refer to the original and the new   those by asymmetry, i.e. Id,  as dynamic. The cumulative
        base values respectively.                      effect of this is electrodynamic and is quite significant.
                                                       It requires adequate care while designing a current-canying
                        I,  .       rated current      or supporting system. Switching devices and other current-
         Fault current I,,  =   ].e.
                              short-circuit unit impedance   carrying components and their mounting structures, such
                                               (13.5)   as the busbar systems in a PCC, MCC or a bus duct etc.
                                                       must withstand such stresses during a short-circuit. It is
        and fault MVA  =  baseMVA  etc.        (13.6)   therefore  of  vital  importance  to  take  account  of  this
                          ~
                          LP                           asymmetry and to determine  this to form an  important
                                                       design parameter for switching devices and all current-
        Fault levels of HT systems                     carrying systems.
                                                         The peak value of a fault current will depend upon the
        We  illustrate  a  typical  powerhouse  generation  and   content of the d.c. component. The d.c. component will
        transmission system layout in Figure 13.21, and reproduce   depend upon the p.f. of the faulty circuit and the instant
        in  Table  13.10 the  typical  fault  levels  of  different   at which the short-circuit commences on the current wave.
        transmission  and  distribution  networks  in  practice  for   (Refer  to  Figure  13.27,  illustrating  the  variation  in
        different voltage systems.                     asymmetry with the p.f. of the faulty circuit.  For ease of
          We also provide a brief reference to a protective scheme,   application, it is represented as a certain multiple of the
        usually adopted in a large power-generating station as in   r.m.s.  value of the symmetrical fault current Isc.)
        Section  16.8.2.                                 The  content  of  asymmetry  may  decay  quickly  and
                                                       may  exist  in  the  system  for just  three  or  four  cycles
        6 Duration of fault                            from  the commencement  of  the fault, depending  upon
        We have mentioned two systems, 1 second and 3 second.   the time constant, z,  of the circuit. The time constant, 7,
        A choice of any of them would depend upon the location   is  the  measurement  of  the  rate  of  decay  of  the  d.c.
        and the application  of  the equipment  and criticality  of   component, and is the ratio of the system reactance, L,
        the installation.  Generally  speaking, it is only the one-   to  the  system  resistance  R, i.e.  L/R. A large  L/R  will
        second system that is in practice. The three-second system   indicate a high time constant  and a slow rate of  decay
        may  sometimes be  used  for  low  fault  level  networks,   and  vice-versa,  as  illustrated  in  Figure  13.22.  The
        where a. I,,,  would fall within the capability  of the   asymmetry  is  therefore  measured  by  the  peak  of  the
        available interrupting devices and at reasonable cost.   first major loop of the fault current (which may occur in
                                                       any of  the phases,  as it has occurred in phase Y in the
        7 Rated momentary peak value of the fault current   oscillogram  shown  in  Figure  13.23). The  subsequent
                                                       loops  will  be  smaller  and  less  severe  and  thus  the
        A fault current  on  a power  system  is  normally  asym-   significance of  the first loop. This is referred to as the
        metrical  as  discussed  next,  and  is  composed  of  a   momentary  peak  value  of  the  short-circuit  current  for
        symmetrical a.c. component ISC(r,m,s,) and an asymmetrical   the  most  severe fault conditions,  such as at extremely
        sub-transient d.c. component Id,  (Figure 14.5). The forces   low p.f.s (RlX, being very low) when the recovery voltage
        arising out of Zsc  are referred to as electromagnetic and   may be the maximum and the fault current the highest.
                                                       These  values  are  given  in Table  13.11 in  the  form  of
                                                       likely multiplying factors for different symmetrical r.m.s.
        Table 13.10  Typical fault levels for an integrated transmission   values of  fault currents, Zsc,  according to IEC 60439-1
        and distribution network
                                                       for LT and IEC 60694 for HT systems and are drawn in
                                                       Figure  13.22.  These  values  are  almost  the  same  as
        Nominal   Highest     Symmetrical   Minimum    provided  by ANSI-C-37120C as well as in Table 28.1.
        system    system voltage   interrupting   momentary
        voltage               current    current peak for   The  exact  values  of  this  factor  may  be  estimated  by
                              rating (r.m.s.)  dynamic rating   creating  a  short-circuit  condition  and  obtaining  an
        kV(r.m.s.)   kV  (r.m.s.)   kA Is,   kA(PW     oscillogram. For details refer to Figure  13.23.
                                        ~
        765       800         40         IO0           Notes
                                                          ~~
        400       420         40         100              The rated momentary peak value of the fault current, lM, will
        220       245         3 1.5140   791100           relate to the dynamic rating of an equipment. It is also known
                                                          as  the  making current of a  switching  device and defines its
        132                   2513 1     62.5177.5        capability to make on fault.
         33                   25         62.5             The peak value of  the asymmetry is considered to determine
                                                          the  electrodynamic stresses to design  the mechanical system
         15/24kV*   -         -*-        -*-              and the supporting structure for the current-canying components.
         11        12         40         IO0              A breaker will not trip instantly when a fault occurs, but only
          6.6      7.2        40         100              after a few cycles, depending upon the actuating time of  the
          3.3      3.6        40         100             protective relays and the breaker’s own operating time. It will
          0.415    0.44       43/50      90.01105        therefore generally trip only during the  transient state of the
                                                         fault. The breaking capacity of an  interrupting device, unlike
        *Since this  represents the  generator  voltage, therefore the  fault   its making capacity, is therefore defined by  the peak value of
        level will be governed by the generator and the generator transformer   the  transient  state  fault  current,  Le.  by  Is,  (Table  13.9).
        as indicated in Table  13.8.                     Conventionally it is termed the r.m.s. value of the fault current.
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