Page 172 - Power Electronics Handbook
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164   Static switches
                       system almost exactly and the same equations and circuit waveforms are
                       applicable. It  produces the lowest voltage harmonics over  most  of  the
                       control range, but is restricted for use with open-star connected loads. The
                       circuit  of  Figure 8.6(b) is  also similar in  operation to the  single-phase
                       systems. Thyristors are fired in pairs, spaced 120" apart, in order to give the
                       required phase sequence output, the load current flowing from a more
                       positive to a negative phase. A typical sequence of conduction could be Bl
                       Y2 R1, Y2 R1 B2, R1 B2 Y1, B2 Y1 R2, Y1 R2 B1 and R2 B1 Y2 over a 360"
                       period.
                         The control system shown in Figure 8.6(c) uses one thyristor and a diode
                       in each line. It has no counterpart in a single-phase circuit since the diode
                       would then supply load current during a complete half cycle, although for
                       three-phase systems the diode cannot conduct unless a thyristor in a more
                       positive line has been fired. This circuit is simpler to use since only the
                       thyristors require gate pulses, the diodes conducting automatically. The
                       circuit shown in Figure 8.6(d) is the simplest, since it only uses three power
                       components, but now each device has to carry a higher current than in the
                       other  circuits, the current flowing in  the components for 2400 in  every
                       cycle, at full load. Table 8.1 summarises the device ratings for the circuits
                       shown in Figure 8.6.


                       Tabk 8.1 Device ratings for the tbree-pbsllc drepltr 0tFigw-e 8.6
                                                                                       ~
                                                                   ~      ~     ~  ___        _     _      _      ~
                       Circuit   Thyristor voltage    Thyristor 1.rn.s. current   Full control dekay
                       ndcr      (percentage  of a.c. line)   (percentage of ax. line)   angle (degrees)
                       844       141.4                40.8                  180
                       8WJ)      122.5                70.7                  150
                       8.6(c)    122.5                70.7                  210
                       8.6(d)    141.4                76.6                  210


                         Figure 8.7 gives the variation of  r.m.s. line voltage with firing angle for
                       Figure 8.6(b). It is essentially similar to the single-phase operating curves
                       but is limited to lower control angles. Another peculiarity of  three-phase
                       systems is that  the  neutral point  voltage will vary with  the conduction
                       angle, owing to imbalance in the instantaneous phase voltages, and when a
                       neutral  line  is  present  a  current  will  flow.  Figure  8.8 illustrates  the
                       waveform  of  this current for the arrangement of  Figure 8.6(b)  when  a
                       four-wire star-connected load is used. Clearly, the imbalance is the greatest
                       at delay angles of 90", which is illustrated in Figure 8.9, where the neutral
                       current is then seen to be equal to the line current.
                         The harmonics generated in three-phase circuits have shapes similar to
                       those of  single-phase circuits although, as expected, they have  a  lower
                       value and the harmonic present varies with the configuration. Figure 8.10
                       shows the plot of harmonics for the three-phase controller of Figure 8.6(b).

                       8.2.3 Control circuits
                       The essential features of  a firing circuit for phase control are shown in
                       Figure 8.11. The detector senses the zero voltage points of the input lines,
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