Page 32 - Rashid, Power Electronics Handbook
P. 32

16                                                                                         A. I. Maswood



                                       A
                                                                                          Metal
                                                                                                  Ceramic
                                I F                                                               Insulator


                                       K
                                     (a)                       (b)                     (c)

                                          FIGURE 2.1  Power diode: (a) symbol; (b) and (c) types of packaging.

                 AC Diode parameters. Very common are the following:    two parameters t and t is known as the softness factor
                                                                                      a
                                                                                            b
                    Forward recovery time t FR  is the time required for the  SF. Diodes with abrupt recovery characteristics are used
                    diode voltage to drop to a particular value after the  for high-frequency switching. See Fig. 2.3 for soft and
                    forward current starts to ¯ow.                      abrupt recovery.
                    Reverse recovery time t  is the time interval between the
                                      RR                              In practice, a design engineer frequently needs to calculate
                    application of reverse voltage and the reverse current
                                                                    reverse recovery time in order to evaluate the possibility of
                    dropped to a particular value as shown in Fig. 2.2.
                                                                    high-frequency switching. As a rule of thumb, the lower t is,
                    Parameter t is the interval between the zero crossing                                          rr
                              a                                     the faster the diode can be switched [1].
                    of the diode current and when it becomes I . On the
                                                         RR
                    other hand, t is the time interval from the maximum                 t ¼ t þ t
                               b
                    reverse recovery current to   0:25 of I . The ratio of the           rr  a   b                ð2:1Þ
                                                   rr
                                                                    If t is negligible compared to t (which commonly occurs),
                                                                                               a
                                                                       b
                                                                    then the following expression is valid:
                                                                                            s 
                                                                                              2Q RR
                                                                                        t ¼
                                                                                         rr
                                                                                              di=dt
                                                                    from which the reverse recovery current
                                                                                           r 
                                                                                             di
                                                                                       I ¼     2Q
                                                                                        rr        RR
                                                                                             dt
                                                                    where Q RR  is the storage charged, and can be calculated from
               FIGURE 2.2a Typical static characteristic of a power diode (forward  the area enclosed by the path of the recovery current.
               and reverse have different scale).
                                                                      EXAMPLE 2.1  The manufacturer of a selected diode
                                                                      gives the rate of fall of the diode current di=dt ¼
                                                                      20 A=ms, and a reverse recovery time of t ¼ 5 ms.
                                                                                                            rr
                                                                      What value of peak reverse current do you expect?
                                                                      SOLUTION. The peak reverse current is given as:
                                                                                           r 
                                                                                             di
                                                                                       I ¼     2Q RR
                                                                                        rr
                                                                                             dt
                                                                                                                 2
                                                                                                           1
                                                                      The storage charge Q  is calculated as Q ¼ di=dtt ¼
                                                                                       RR              rr  2     rr
                                                                                           ÿ6 2
                                                                      1=2   20 A=ms  ð5   10 Þ ¼ 50 mC. Hence
                                                                                   r 
                                                                                       a
               FIGURE 2.2b  Practical representation of the static characteristic of a  I ¼  20    2   50 mC ¼ 44:72 A
                                                                               rr
               power diode.                                                            ms
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