Page 790 - Industrial Power Engineering and Applications Handbook
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                                                                    HT, 132 kV (typical)

         This  provision  will  also  account  for any  diminishing   132/11 kV
          variation in C, as may be caused by ambient temperature,
         production tolerances or failure of a few capacitor elements
          or even of a few units during operation.
           The p.f. correction system would thus become inductive
          for most of  the current harmonics produced  by  power
          electronic circuits and would not magnify the harmonic
          effects or cause disturbance to a communication system
          if  existing  in  the  vicinity  (see  Figure  23.14). A  filter
          circuit can be tuned to the lowest (say the fifth) harmonic
          produced  by  an  electronic circuit. This  is  because  LT
          capacitors are normally connected in delta and hence do
          not allow the third harmonic to enter the circuit while the
          HT capacitors are connected in star, but their neutral is
          left floating and hence it does not allow the third harmonic
          to enter the circuit. In  non-linear or unbalanced  loads,
          however, the third harmonic may still exist. For a closer
          compensation,  uni-frequency  filters  can  be  used  to
          compensate individual harmonic contents by tuning the   Filter circuits to compensate the harmonics
          circuit to different  harmonics,  as illustrated in  Figures   R = Resistance to limit the fault level
          23.15(a) and@). For moreexact compensation, thecontents
          and amplitudes of the harmonic quantities present in the
          system can be measured with the help of an oscilloscope   Figure 23.1 5(a) Compensation of  harmonics by
                                                           tuning each capacitor circuit at different  harmonics
          or  a  harmonic  analyser  before  deciding  on  the  most
          appropriate filter circuit/circuits. Theoretically, a filter is
          required for each harmonic, but in practice, filters adjusted
          for one or two lower frequencies are adequate to suppress
          all higher harmonics to a large extent and save on cost.    t  X,  (Filter reactance)
            Refer  to  Table  23.1,  which  shows  the  average
          cumulative effect of all the harmonics that may be present
          in a power system. If we can provide a series reactor of
          6% of the total kVAr of the capacitor banks connected
          on the system, most of the harmonics present in the system
          can be suppressed. With this reactance, the system would        -R
          be tuned to below the fifth harmonic (at 204 Hz) for a 50
          Hz system as derived below.

                         ,!:,HT,   132r (typical)                     t X,  (System reactance)


                                   T~,
                         132/11 kV  Q                                 If X,  = X,   then Z= R
                         (typical)                                      Figure 23.15(b)



                                                          If  X,  is the  6% series reactance  of  the  value  of  the
                                                        shunt capacitors installed, then
                                                               XL  = 0.06 Xc
                                                                     0.06
                                                        or    2nfL = -
                                                                    2 xfc
                       &  .Ic1 fc2                      where    L = inductance of the series reactor in henry
                                                                    and
                                       G-
                                                                C = capacitance of the shunt capacitors in farad
                          L, and L,  are reactors
                                                                      0.06
          Figure 23.14  Compensation of  harmonic currents by the use   or   LC=  -
          of  reactors in the capacitor circuits                    (2nf)’
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