Page 778 - Industrial Power Engineering and Applications Handbook
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Power capacitors: behaviour, switching and improvement of  power factor 231735
        4  Use  of  filter circuits  in  the  power  lines  at  suitable   to  block  its  entry  into  the  system  through  its  neutral
           locations, to drain  the excessive harmonic quantities   from another system. For other frequencies, particularly
          of the system into the filter circuits.      at power frequency, it will  offer a very  low  impedance
                                                       and permit them to flow into the system. The filter circuit
                                                       may now be designed for a notch frequency of
        Filter  circuits
        A filter circuit is a combination  of  capacitor and series
                                                                              1
        reactance, tuned to a particulrv harmonic frequency (series   fh  = 2n. JLC          (23.6)
        resonance), to offer it the least impedance at that frequency
        and hence, filter it out. Say, for the fifth harmonic, Xc5 =
        XLS.                                           At this frequency, the filter circuit will offer a very high
                                                       impedance and block the entry of that harmonic to flow
          Since,fh, = 5  .f                            into the circuit through its neutral. For other frequencies,
                                                       it will provide a very low impedance and permit them to
        ..           =27r.Sf-L                         flow into the circuit. Thus for any value offh the product
            2n-5f.C                                    of  LC  can  be  determined,  and  hence  the  blocking
                  x,                                   circuit can be designed. To achieve a narrow  bandwidth
        or           = 5X,-                            of  attenuation,  at  near ,fh.  the  blocking  circuit  may  be
                   S                                   designed separately for each major harmonic frequency
                                                       Cf,). To  ensure  a  high  Xch, it  is  advisable  to  keep  the
        01'       X, = 5'   ' X,                       value  of  L  low  and hence  limit  the  inflow  of  charging
                                                       currents.
        Generalizing,  X, = N;  . X, for the N,,th ordinal number   Application  of  such  circuits  is  also  provided  in  the
        of the harmonic disorder.                      form of  a  line trap,  which  is a  blocking  circuit and is
          A capacitor is susceptible to variations in the system   used at each end of the line to which the carrier relaying
        voltage, frequency and operating temperature. Failure of   is connected as discussed later. A bypass or filter circuit
        capacitor elements may also cause a variation in capacitive   is also provided to drain the power frequency component
        values  in  the  three  phases  of  the  filter  circuit.  Under   of the current when present in the communication network.
        these conditions,  it  is possible  that a filter  circuit  may   One end is connected to the main line through a coupling
        fall out of tune during normal service and cause excessive   capacitor or CVT and the  other to the ground  through
        currents in  one or more phases due to sub-synchronous   the  PLCC  (Power  Line  Carrier  Communication), as
        or ferro-resonance effects with the impedance of the main   illustrated  in  Figure  23.9(b).  Leading  manufacturers
        system. If we consider the reactance of the detuned circuit   combine  the  coupling  equipment  and  PLCC  coupling
        as X, (considering it  to be capacitive after detuning, as   device into one unit for ease of application and installation.
        X, will  rise  when  C of  the  capacitor units  decreases),
        which may fall in phase opposition to the system reactance
        X, (considering it to be inductive), as shown in Figure
        23.15(b) then  it will  lead  to such a situation and cause   Use of  tertiav (auxiliary) winding
        excessive  harmonic  currents through  the  filter circuit,   When a  power transformer is y/)'  or y/y connected
        due to its low effective impedance, 2, since   and  is  feeding  a  system on  which  harmonics  are  not
                                                       desirable, it is generally provided with a tertiary winding.
        Z  = R,, + XL -Xc(R,,  is the resistance of the main system)   A  tertiary  winding,  which  is  also  called  an  auxiliary
                                                       winding,  is  an  additional winding connected in  A. and
          = very  low                                  sandwiched between the main primary and the secondary
                                                       windings of the transformer. It thus has the same magnetic
          It is therefore recommended that a small resistance of   circuit. This winding provides a closed path for the third
        a low I?. R loss be introduced  into the filter circuits as   harmonic quantities to circulate and prevents them from
        shown in Figure 23.15(a) to limit such an excessive flow   appearing on the load  side. It may  also be  used  for the
        of  currents  through  them.  Knowledge  of  the  system   purpose of metering, indication and protection of ground
        parameters (resistance and reactance) is also essential to   fault currents.
        design an  appropriate filter  circuit to  avoid  a  possible   Other than the system harmonics, electrical interferences
        resonance in the first instance. If this occurs the resistance   are also caused by line disturbances, which may be caused
        thus introduced will  limit the excessive flow of current.   by lightning, switching, sparking or a fault. As discussed
          5  Another  remedial  measure  is  the  use  of  blocking   in  Chapter  17, line  disturbances  occur  at  very  high
        circuits by providing a high-impedance path in the ground   frequencies  but  some  may  coincide  with  the  audio
        circuit  when  a  phase-to-ground  circuit  is  used  for  the   frequency of  telephone lines. and cause disturbance in
        com-munication network, to block the entry of the third   the  audio  quality  of  the  telephone  system.  AI1  these
        harmonic quantities into the system from other systems.   disturbances are referred to as inductive interferences.
                                                        We provide more details on inductive interferences in
        Blocking  circuits                             the box below, to make the subject of electrical interference
        These are parallel  resonant L-C circuits, and are tuned to   more informative. We  also provide a passing  reference
        offer a high impedance to a particular harmonic frequency   to communication  systems being adopted worldwide.
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