Page 99 - Power Quality in Electrical Systems
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82   Chapter Six

        nonlinear load. The capacitors of the filter also provide reactive power
        at the fundamental frequency (60 Hz) for power factor correction. The
        filter is usually made up of one or more sections, as shown in Figure
        6.10 [6.5]. The single-tuned RLC filter for each harmonic frequency
        is the most common.
          The impedance Z of the single-tuned section shown in Figure 6.11a
        is given by:
                                             2 X )
                                Z 5 R 1 j(X L    c
        where:
                                     X 5 vL
                                      L
                                           1
                                     X 5
                                      C
                                          vC
            20

            10
          Amps  0

           −10

           −20
              0.0    0.2     0.4    0.6     0.8    1.0
                              Time (sec)


         100%
          90%
          80%                     I THD  = 8.60%
          70%                         = 148.2 A
                                  I RMS
          60%                     I Fund  = 115.4 A
          50%
          40%
          30%
          20%
          10%
           0%
               1  3  5  7  9  11 13 15 17 19 21 23 25
                           Harmonic number
                                 (a)
        Figure 6.9  Input waveforms to a 100-hp ASD, from [6.4]. (a)
        Without an input line reactor, the line current THD   80.6 per-
        cent; (b) with a 3-percent line reactor, the line current THD
        37.7 percent.
        [© 1999, IEEE, reprinted with permission]
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