Page 291 - Power Electronics Handbook
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The step-up chopper   28 I
                   transistor TR1. Comparison of  this circuit with the step-down chopper of
                   Figure 12.l(a) shows that the main difference is that the positions of  the
                   main switch (transistor)  and the diode have been interchanged, and the
                   inductor is connected to the supply end rather than to the load end.
                     The step-up chopper works by  storing energy in the series inductor L1
                   during the period that the transistor is on and transferring this to the load
                   when the transistor is off. Because the load energy is supplied as a series of
                   pulses,  a  capacitor  C  is  usually  added  to  give  some  smoothing.  The
                   operation  of  the  chopper  can  be followed  by  reference  to  the  circuit
                   waveforms of  Figure 12.21. When the power transistor is on load current
                   builds up in L1, reaching a peak of  zs(pk) after time fc, as shown in Figure
                   12.21(b). The voltage across the transistor is low during this period and has
                   been  assumed  to  be  zero  in  Figure  12.21(d). The current  through  the
                   transistor builds up to the same peak value of  ZS(~~), having started from a
                   residual value of Zscmin).  The current provided from the supply to the load
                   (IL) during the transistor conduction period is zero, as shown in Figure
                   12.21(c), all the load current being obtained from the smoothing capacitor.
                     When the transistor goes off its collector current falls to zero, but the
                   current in the inductor Ll continues to flow, delivering energy to the load
                   and its smoothing capacitor. The voltage across the transistor now jumps to
                   the value of the load voltage, since diode D1 is conducting, and this voltage
                   has been assumed, in Figure 12.21(b), to remain constant during the whole
                   of the off period to. The current in L1, which started with a value of Is@k) at
                   the beginning of  the off cycle, now starts to decay, reaching a minimum of
                         by the end of the off period. The load current waveform follows that
                   of  the inductor current, since with diode D1 conducting currents Is and 1,
                   are equal.
                     Assuming  a  smooth  input  and  output  voltage  and  a  linear  current
                   waveform in the inductor, as in Figure 12.21, the value of  the load voltage
                   is given by equation (12.24).
                                                                             (12.24)

                     From  this equation it  is seen  that  the  load voltage will vary, from a
                   minimum value equal to the supply voltage of  VB when the transistor is
                   continuously off, to a maximum approaching infinity as the off period of
                   the transistor becomes smaller. The circuit of Figure 12.21(a) is therefore a
                   stepup chopper, the output varying upwards from the supply voltage. If
                   the losses in the circuit are ignored then power from the supply is fed to the
                   load,  so  that  equation  (12.25)  holds  true.  This  shows  the  traditional
                   transformer equation where a step-up change in voltage is accompanied by
                   a  step-down change in current,  and  it is the same as with a  step-down
                   chopper.
                    v,z,  = v,1,                                             (12.25)
                    Although step-down choppers are frequently used, step-up ones are less
                  popular due to the high smoothing requirements caused by the pulses of
                  energy delivered to the load.  Where step-up of  voltage is required  it is
                  more usual to do this by  an inverter feeding into a step-up transformer, as
                  described in Chapter 13.
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