Page 419 - Power Electronics Handbook
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408   Power semiconductor circuit applications

                           Electronic excitation circuits are small, robust and have fast response
                         due to the low system lag.  If  there  is a fall in  the output voltage of  an
                         alternator, say due to the loss across the machine sub-transient reactance
                         when an induction motor is switched on, it is necessary to increase the field
                         current rapidly and therefore raise the output voltage again. This calls for a
                         field current  above the normal excitation level. Power electronic control
                         circuits are well suited to provide this field-forcing action and the ratio of
                         maximum to full-load excitation field voltage, called the forcing margin, is
                         usually three.


                         14.4 Heating and lighting
                         Heating and lighting applications are frequently considered together since
                         they both involve predominantly resistive loads. Several power electronic
                         circuits can be used, Figure 8.1 already having introduced three variants of
                         single-phase thyristor controllers, with waveforms for phase angle control.
                         If  the a.c. input supply has an r.m.s.  value of  V,,   and a peak of  vpk then
                         the power PL supplied to the load for a delay angle of a is given by equation
                         (14.12).



                                 V2
                              = 2 (n +  sin 2a - a)                                (14.12)

                           Phase  angle  control  results  in  a  lagging  power  factor  and  harmonic
                         generation, so for high current loads its use is usually not allowed by supply
                         authorities.  If  the  thermal  time  constant  of  the  load  is  relatively high
                        compared to the input a.c. period, then integral half cycle control can be
                        used to vary the power to the load, as illustrated in Figure 8.18, although
                         this  technique  cannot  be  used  with  incandescent  lamps  due  their  low
                         inertia. In this method, if the control switch is on for n half cycles in a total
                        period of  m half  cycles, then  the power supplied to  the load is given by
                        equation (14.13).

                          pL=-.-  n                                                (14.13)
                                 v:k
                                 2R   m
                           Figure 14.59(a) shows a simple circuit which can be used for phase angle
                        control  of  a  heating  load.  The capacitor  begins  to charge  through  the
                        variable resistor once the input supply passes through its zero voltage point
                        during  each  half  cycle,  and  when  this  voltage  exceeds  the  breakover
                        voltage  of  diac  D1 it  conducts  and  triggers  triac  TH1. The  delay  is
                        controlled by the charging of  C and therefore by the value of  resistor R.
                          An alternative circuit for a resistive single-phase load is shown in Figure
                        14.59(b) where  a  single thyristor  is  used  within  a  bridge  rectifier. The
                        capacitor charges through resistor R as before, but since the voltage across
                        it is d.c. only a silicon unilateral switch D1 is required, the thyristor turning
                        on when this breaks over. The range of control obtained with both the circuits
                        given in Figure  14.59 is limited, since the supply voltage has to rise to a
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