Page 139 - Power Quality in Electrical Systems
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Methods for Correction of Power-Quality Problems  121



                                                         +   +
              a

                                                         –
        Source
                                                             Load
              b
              c                                          +

                                                         –   –

        Figure 8.10 A 12-pulse rectifier supplied by a three-winding transformer with
        delta and wye secondary windings.


          A common application of transformers is the input to a 12-pulse rec-
        tifier, as shown in Figure 8.10. The transformer has a wye and delta sec-
        ondary to supply each of the rectifier bridges. The 30-degree phase shift
        between the two secondary voltages serves to cancel the fifth and sev-
        enth harmonics of the primary current. Another use of transformers is
        to cancel harmonics, as shown in Figure 8.11. The two secondary wind-
        ings are zig-zag to provide 30 degrees of phase shift between secondary
        line-to neutral voltages for the two sets of equal-power loads. The same
        effect can be achieved with wye-delta secondary windings with half the
        loads operating at 120 V and half at 277 V, single-phase. A third example








                                                           Load
                                                           No. 1
              a
                                     +15°

        Source

              b
                                     –15°
              c
                                                           Load
                                                           No. 2



        Figure 8.11 Harmonic cancellations for two equal loads using a transformer
        with  15-degree zig-zag secondary windings.
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