Page 182 - Power Electronics Handbook
P. 182

174   Static switches
                                           Off -
                              Controller
                                   -On
                                                         100
                       I
                       E
                       L
                       $
                       2



                                                           0
                                    Temperature                               Proportional
                                                                              region
                                                                     Temperature
                       Figure 8.19  Control characteristics for zero-voltage switching systems: (a) burst f~ng;
                       (b) proportional control

                         The difference between burst firing and proportional control is one of
                       detail  only,  both  being  very  similar  in  principle.  Burst  firing control
                       systems have a large gain, as illustrated in Figure 8.19(a), so that the power
                       switches are either off or on. Although satisfactory for many applications
                       this high gain can in some cases lead to problems of instability, commonly
                       known  as hunting.  To overcQme this the system gain  is reduced,  as in
                       Figure 8.19(b), so  as to introduce a proportional band. Within this band
                       the  controller  is  able  to  anticipate  the  future  state  of  the  controlled
                       parameter and to adjust the duty cycle of  the thyristors accordingly. The
                       width of  the proportional  band is important;  if  it is made too large the
                       system will be sluggish and reach its final state slowly; if  it is too narrow
                       there will be large overshoots about the required setting, as in burst firing.
                         Irrespective of  the method of  control used, the mean power and r.m.s.
                       voltage are dependent on the power switch duty cycle. If  V is the r.m.s.
                       input voltage and P is the power in the load with the supply uncontrolled,
                       then the controlled voltage V, and power Pc are given by equations (8.9) and
                       (8.10) where t is the power switch conduction period, expressed in units of
                       time or number of half cycles or cycles of the input voltage waveform, and
                       T is the operating period, in the same units as f.
                              Pt
                        P,  = -                                                   (8.9)
                         v, = v [4                                                (8.10)
                               T
                                      M


                         There are many circuits that may be used to control thyristors operating
                       in a zero voltage switching mode. They all have three basic sections:
                       (i)  A power supply stage to drive all internal amplifiers and feed the gate
                           energy to the power semiconductors.
                      (ii)  A  zero  voltage-detecting stage,  which  senses  the  instant  of zero
                           supply voltage. This stage releases the power amplifiers for a short
                           duration  around this cross-over point  so  that they may trigger the
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