Page 64 - Battery Reference Book
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Heating effects in batteries  1/49

          +45 r-                          Joule      0.4
          +40
          +35
          +30                                      -     \
                                                   I
                                                   m
          +25                                      -
                                                   Y
          +20                                      g, 0.3
                                                   L
          +I5                                      r
                                                   m
                                                   0
          +lo                      Charge net total,   .-
           +5                      Joule - AH      -0
           -5 oP-o                0         0      ._
                                                   m
                                                   L
                                                   a
                                                   -0
                                                   7 0.2
                                                   u
                                                   0
                                                   I
                                                   2
                                                   - z
                                                   a
                                                   0
                                                   2  0.1
                                                   4-
                                                   m
                                                   I                         "-------.
         ZI  -45
         $ -50
                                                          I  l  l  l  l  l  l  l  l  l  i  l  l  l  l
                                                          2  4  6  8  10 12 14  1618 20222426 28 30
         2 -65                                                     Discharge time (rnin)
         '&  -70                                      602480300   150        90         60
         ? -75
             0  2 4  6  8 10 12 14 16 18  20 222426 28 30         Jischarge current (A)
                       Charge time (rnin)         Figure 1.35  Discharge of a 2 V lead-acid battery: heat production
                                                  per unit time as a function of  discharge time
      Figure 1.34  Discharge of a 2V lead-acid battery: chemical (AH),
      ohmic (Joule) and net total (Joule + AH) cooling effect
                                                  is  the  average number  of  calories produced  per  sec-
      heat  evolution due to  ohmic heating, heat  absorption   ond  during  a  charge  or  a  discharge.  During  battery
      (cooling) due to the chemical reaction, and a net heat   discharge  this  parameter  is  obviously  dependent  on
      evolution  due  to  the  combined  heating  and  cooling   the discharge time and discharge current. Greater heat-
      effects.                                    ing effects per unit time would be expected at higher
        It is assumed, in the above example of the charging   discharge currents, i.e. lower discharge times. This is
      of  a  lead-acid  battery,  that  the  charging  currents   illustrated in Figures  1.35 and 1.36, which are prepared
      used  are  the  same  as  the  discharge  currents used  in   from data in Table 1.20 and plot average kilocalories
      the  battery  discharge  as  quoted  in  Table 1.20,  i.e.   per second for various discharge times between  1 and
      60-600  A during 30 s to  1 min charges or discharges.   30 min  (Figure 1.35) corresponding to discharge cur-
      In fact, of  course, during an actual battery charge, the   rents between 602 and 60A  (Figure 1.36). It  is  seen
      charge  currents  and  the  duration  of  the  charge  may   that  at  the  highest  discharge  rate  quoted,  i.e.  1 min
      differ from these  values  and this  will have  an  effect   discharge at 602 A between 0.3 and 0.4 kcal/s are pro-
      on  chemical  and  ohmic  heat  evolution  as  discussed   duced  on  average, throughout the  discharge and  this
      later.                                      may well indicate that cell cooling is required during
        The heat data quoted in the examples cited are the   such rapid battery discharges.
      total  heat  evolution  or  absorption  occurring  during
      a  total  charge  or  a  total  discharge,  Le.  during  the
      whole  discharge  or  charge  process.  Calculations  of   Discharge timeheat evolution graphs
      this type enable the  number  of  kilocalories produced
      to  be  calculated,  and provide  data on  the  amount of   In addition to heat evolved during a complete discharge
      cooling that would be required if there is a likelihood   and  mean  heat  evolved  per  second,  other  battery
      of  the  battery  developing  excessive  temperatures  in   parameters such as end-point volts, discharge current,
      use.  Cooling  can  be  achieved by  correct  spacing  of   Ah capacity, energy density and electrical resistance
      batteries, natural or forced air cooling, water cooling   are plotted against discharge time of  a 2V lead-acid
      (internal or external), or the use of  cooling fins.   battery  (Figures 1.37-1.46).  In  Figures  1.47-2.54
        An  additional useful parameter which can be  used   these  same  parameters  are  plotted  against  discharge
      when  studying the heating  effects of  batteries  in use   current.
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