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1/48  Introduction to battery technology
            Table 1.22 Effect of discharge current on operating parameters   120
            of  a 2V lead-acid  battery
                                                            110
            Discharge   End-point  Electrical   Capacity   Energy
             current   em.$   resistance   (Ah)   density   100
               (A)     (V)      (a)            (W mg)
                                                          - 90                           Discharge
                                                          -
               100     1.58    0.0155   29.7    46.5      -                             net total
                                                          m
               600     1.26    0.002    10.0     12.5     Y                             Joule + AH
                                                          al  80
                                                          $
                                                          c
                                                          .g  70
            2.  Chemical heating effect due to dissociation of water   -
                                                          '0
               to hydrogen and oxygen towards the end of charge.   4-  m
                                                          I!  60
               This  only  applies to  certain  types  of  battery,  e.g.   .-
                                                          m
               lead-acid                                  ;
                                                          L
                                                            50
               Hz+ 402 =HzO+57410cal                      0
                                                          2  -
                                                          e  40
               This type of heating occurs to an appreciable extent   -
                                                          al
               only when batteries are fully charged, i.e. on over-   !
               charge, and will not be discussed further.   3c
            3.  Ohmic heating effects due to Joule heating effects
               related  to  operating current and the  electrical res-   2c
               istance of the battery. From Equation  1.86,
                                                             1c
               Joule heating =   RToT   caUt s                  I  I  I  I  I  I  I  I  I  I  I  I  I  I  I
                              4.18                           C   2 4 6 8 1012141618202224262830
            4.  Localized heating effects due to tracking of current   Discharge time (rnin)
               along  low-conductivity  paths  on  the  top  of  the
               battery.                                  Figure 1.32 Discharge of  a 2V lead-acid  battery: chemical (AH),
                                                         ohmic (Joule) and net total (Joule + 4H) heating effect
             1.22.1 Consideration of chemical (AH) and
            ohmic (Joule) heating effects in a lead-acid
            battery                                         loor
                                                             90  -
             Information on the chemical and ohmic Joule heating
             effects during the discharge of  a lead-acid  battery is   -  EO  -  "*,
             given in Table 1.20, which tabulates the extent of those   -
                                                           E
             effects during the discharge at various rates of  a  2V   ;
                                                           Y
             lead-acid  battery.                           P  70-
              This information is summarized in Figures  1.32 and   c
             1.33 which, respectively plot discharge time and cur-   ._  60-
                                                           -0
             rent  versus  the  chemical  (AH) and  ohmic  (Joule)   -
                                                           m
             contributions to the heat produced during a total dis-   I
                                                           T, 50-
             charge. It can be seen that, in this particular example,   .-
                                                           C
             regardless  of  the  discharge  time,  the  chemical  heat-   L
                                                           3
                                                           P
             ing effect is very  similar to the ohmic heating effect.   TJ  40-
                                                           -
             It  should  be  noted  that  the  above  comments  apply   0
             only  to  the  total  discharge  of  a  lead-acid  battery   E  30-
                                                           m
             when both  the  chemical  and Joule effects contribute   I
                                                           al
             to  the  production of  heat.  Obviously,  during  charge,   20  -
             the chemical effect is one of  cooling (Le. AH  is pos-
             itive),  whilst  the  Joule  effect  still  leads  to  heating   -
             (Equation 1.86 - Joule heating is positive whether cur-   10
             rent  is  being  withdrawn  during  discharge  (positive)   1
                                                                        I
                                                                             I
                                                                                          I
                                                                                      I
                                                                                 I
                                                                    I
                                                                                               I
             or  supplied  during  charge  (negative),  as  the  square   0   100  200  300  400  500   600   700
             of  the  current is  used in the  calculation of  heat  pro-   Discharge current (A)
             duction). During the  total battery charge  in  this par-
             ticular example, there is a small net heating effect of   Figure 1.33 Discharge of  a 2 V lead-acid  battery: chemical (4H),
             the battery as illustrated in Figure  1.34, which shows   ohmic (Joule) and net total (Joule + AW heating effect
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