Page 486 - Battery Reference Book
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Transformer-type charger design (Union Carbide) for nickel-cadmium  batteries  47/19
                                                    End-of-charge voltage at 10 h rate is estimated to be
                                                  1.45Vlcell and 2 x  1.45 = 2.90Edc.
                                                    Thus an a.c.1d.c.  ratio of  about 2 is needed. A stock
                                                  filament transformer with a secondary rating of  6.3 V,
                                                  0.6 A is selected (Stancor type P-6465 or equivalent).
                                                  Measurements  of  the  open-circuit  output voltage  and
                                                  winding resistance give the following values.
                                                    With primary input voltage of  120 V a.c.,
                                                  Open-circuit secondary volts = 7.5V,.,.,
                                                                   120
                                                              VP  -
                                                  Turns ratio, N = - - - 16
                                                                      =
                                                              v,  7.5
               .--/   Voltage (d.c.) equatton factor   Winding resistance (cold):
                K
                                                  primary = 195 Q
           '  ~  "  ~  "  "  '  ~  '  "  "  "  '  1
         0       1       2      3       4         secondary = 1.3 Q
                     a.c./d.c.  ratio
                                                  Total resistance (cold) referred  to secondary:
            Half-wave and full-wave centre tap:
               a.c.1d.c. ratio =  ___    (47.11)
                            E,,
                         Edc + nv,
            Full-wave bridge:                             195
                                                             =
                                                    = 1.3 + - 2.1 Q
               a.c./d.c.  ratio =   E, E   (47.12)        162
                         EdC + 2nV,
                                                    The hot resistance for a power transformer  at rated
      Figure 47.18  Design  equation  factors  versus  a.c./d.c.  ratio   output  will  be  about  10% higher  than  the  cold  res-
      (Courtesy  of Union Carbide)
                                                  istance.  However,  this  transformer  will  be  operating
                                                  below  rated  capacity  and  a  5%  increase  is assumed.
       The  full-wave  rectifiers  may  be  bridge  or  centre-   This gives a value
      tap connection. The bridge connection is quite popular   Rt (hot) = 2.1 x  1.05 = 2.2Q
      because of its flexibility,  simplicity  and use of a more
      economical  transformer  design.  However,  economics   Since  the  charging  current  is  considered  low,  the
      may dictate a choice between transformer cost and the   half-wave circuit is chosen. A suitable rectifier is the
      total rectifier cost, the bridge connection requiring two   low-cost IN2069 silicon type rated  at 0.7SA d.c. and
      additional diodes.                          200 peak inverse voltage (PIV). The diodes may be of
       Other considerations  in the  selection  of  the  charge   any type having adequate current and PIV ratings. The
      circuit configuration  are the usage cycle, charger loca-   PIV rating  should be equal to or greater than the peak
      tion,  heat  dissipation  and  transformer  power  ratings,   value of the power transformer secondary voltage plus
      overall  size, cost, etc. The half-wave circuit produces   the battery  voltage,  that is:
      additional  neat  in  the  transformer  core  material  due
      to  the  saturating  effect  of  the  d.c. polarizing  current.
      The physical dimensions of the transformer used with   From  Figure 47.17,  Vd  = 0.80V  and  Rd  = 0  for  a
      haif-wave  rectification  may  be  larger  than  those  of   silicon rectifier.
      a  transformer  using  the  full-wave  bridge  connection   Equation 47.11  is used  to obtain the  a.c.1d.c. ratio.
      for  the  same  power  rating.  The  following  examples   Half-wave  rectification  was  chosen, hence  one  diode
      demonstrate the use of the equations, tables and graphs   was used and n  = 1.
      in the design af constant-current chargers.
                                                     Eac   -     7.5
                                                          -             = 2.03
      Example 1                                   Edc + nvd   2.90 + (1 X 0.8)
                                                  From  Figure 47.18,  K  = 0.92,  M  = 2.40  and  F  =
      A  circuit  is  required  to  charge  two  Union  Carbide   1.76.
      CH500 nickel-cadmium  cells in series at the 10h rate.   Rearranging Equation 47.1 to solve for R  gives:
      This is assumed to be for experimental use, which does
      not justify acquiring a special transformer. The CHS00   Eac   K(Edc + nvd)
      is a cylindrical high-rate cell rated at 0.5 Ah capacity.   R=   MIdc
                                                     7.5 - 0.92 (2.90 + 1 x 0.8)
                                                   -                    = 34.1 Q
                                                   -
                                                           2.4 x 0.05
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