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Discharge rate-capacity returned (discharged capacity) curves  31/13
         31.8  Capalcity returned (discharged
         capacity)-discharge current curves

         This  type  of  curve  is  illustrated  in  Figure 31.33,  in
         which the discharge current is plotted against capacity
         returned (discharged capacity) to various end-voltages.
                                                                                        v
                                                          50t                \
                                                                                     1.1
                                                           01   1  1  1  I  I  I  I  I  1  1  1
                                                           0  10  20  30 40  50  60  70  80  90  100110
         31.9  Dischtarge rate-capacity returned                     Discharge current ImA)
         (discharged capacity) curves
                                                      Figure 31.33 Typical  capacity  versus  discharge current curves
                                                      of  Eveready sealed nickel-cadmium  button cells,  1.2 V,  0.09A h
         A battery  that is manufactured to have a capacity of,   capacity (Courtesy of  Union Carbide)
         say, 20Ah when continuously discharged at the 20h
         rate to a fixed end-voltage will, under these conditions,
         realize  its  maximum  capacity  of  20Ah and  deliver
         a  current  of  1 A  for  20 h  (ICzo), or,  within  reason,
         any multiples  of  20 Ah, e.g.  0.5 A  for  40 h  (0.5Czo)
         or 2A (2 x CZO) for  10h. Whereas the  full  capacity
         of  20Ah is always delivered (and sometimes slightly
         exceeded)  when  the  continuous  discharge  period  is
         increased  above  20h,  no  matter  how  long  the  dis-
         charge  time,  this  is  not  so  when  the  time  for  com-
         plete  discharge is  dramatically decreased to,  say, 2 h
         or to  10 min. Although, in these circumstances, higher            u
         currents  will  be  produced,  the  durations  for  which           9  10 11 12
         these  currents  are  available will be  lower than those
         calculated  from  the  simple  relationship  above.  This   (a)   Discharge current  (A)
         is due to certain  chemical and physicochemical rate-
         determining processes occurring in the battery, which   2oc I
                                                         18
         limit  the  achievement  of  the  full  20Ah  capacity.   - 16
         For  this  reaso'n, if  rapid  discharge  is  broken  down   f.  14
         into  several  separate discharges, with rest  periods  in   .- E  12
         between,  the  .total capacity  achieved  will  be  nearer   Y
                                                      w  10
         to  the  theoretical  value  of  20Ah due  to  the  occur-   c g8
         rence of time-dependent recovery processes within the   g  6
         battery.  To  illustrate  the  effect  of  discharge  rate  on   l i 4
         capacity  delivered,  Figure 3 1.34 shows  the  relation-   2
         ship  between  discharge  current  and  discharge  time
         for  a  series  of  non-spill  lead-acid  batteries.  For  the   0
         6V, 12Ah VPT 6.13/12 battery, for example,  12Ah   (b)     Discharge current  (A)
         capacity is obtained when the discharge is performed
         relatively  slowly  at  a  discharge  current  of  approxi-
         mately 0.6 A over 20 h. When, however, the battery is
         discharged rapidly, say during 1 min at 10 A> a capacity
         of  only  lOAh is obtained.
           The  decrease  in  cell voltage  that  accompanies the
         increase  in  discharge  current  for  a  nickel-cadmium
         cell is shown in Figure 31.35. This decrease in voltage
         is even more dramatic at lower temperatures.
           Various manufacturers supply curves for determin-
         ing the minimum battery size required for an intended
         application.  Thus,  for  sealed  lead-acid  batteries,  at
         a  selected  discharge  current  and  discharge time,  the   (C)   Discharge current (A)
         required 20 h rate capacity of  the battery can be read
         off  (Figure 31.36): for example, 1 A for 40min would   Figure 31.34 Discharge time versus discharge current for Varley
         require  a  1.2Ah battery.  In  general, there  is a  rela-   non-spill  lead-acid  batteries:  (a) VPT  6.9/8 (6V,  9A h),  (b) VPT
         tionship between depth of  discharge of  a battery  and   12.7/50  (12V, 50Ah), (c)VPT 6.13/12  (6V, 12Ah) (Courtesy  of
                                                      Varley)
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