Page 69 - Battery Reference Book
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1/54  Introduction to battery technology

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              I                                              I   I   I   I  I   I   I   )  -0
                                                            0   100  200  300  400  500  600  700
                                                                    Discharge current (A)
                      I   I  I   I   I  I   I           Figure I .54  Discharge of a 2 V lead-acid  battery: heat production
                 c   100  200  300  400  500  600  70(   per  unit  time,  and  cell  electrical  resistance  as  a  function  of
                         Discharge current (A)          discharge current
            Figure 1.52  Discharge of a 2 V lead-acid battery: heat production
            per unit time and energy density as a function  of discharge current   the resistance of  the cell always has a positive value,
                                                        i.e.  heat is evolved. Whether a battery cools down or
                                                        heats up during charge depends on the relative magni-
               'OoC                                     tude of these two opposite cooling and heating effects
                                                        which, in turn, depend on the operating conditions dur-
                90
                                                        ing battery charge.
                                                          The cooling effect is given by:
                                                                                           1
                                            - 0.028                          cal during the charge
                                            - 0.026           4.18
                                            -  0.024 -
                                            - 0.022 c:
                                            - 0.020  E
              'D  50-
                                             0.018  $
                                             0.016 '5   The heating effect is given by:
                                             0.014
                                             0.012          12xRxt
                                                        J=-        cal during the charge time@)
              Y                                               4.18
                                                                 I~R
                                             0.006      Le.  AH = -Is
                lo -  Electrical resistadLx   - 0.004            4.18
                                            -
                                             0.002
                      I   I   I   I   I   I   I  o      where  C  is  the  capacity  increase  of  battery  dur-
                 0   100  200  300  400  500  600  700   ing  charge (Ah), E  the thermodynamic cell e.m.f. at
                         Discharge current (A)          end of  charge  (assumed to  be 2.01V),  (dEldT),  the
                                                        temperature  coefficient of  cell  e.m.f.  (assumed to  be
            Figure 1.53 Discharge of  a 2V lead-acid  battery: heat evolved
            during whole discharge, and cell electrical resistance  as a function   0.000 25 VPC), T the cell temperature (K), I the char-
            of discharge current                        ging current (A), R the cell internal resistance (a), and
                                                        t the duration of charge (s).
                                                          If  J  - AH  is  negative,  the  cell  will  cool  down
            a positive value indicating that heat  is absorbed from   during charge. Conversely, if J  - AH  is positive, the
            the  surroundings to enable this  process  to  occur,  i.e.   cell will heat up during charge.
            the electrolyte cools down. The other processes, ohmic   In  practical  cell  charging,  there  is  an  additional
            (Joule) heating, depending on the charging current and   factor to be contended with, namely loss of calories by
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