Page 62 - Battery Reference Book
P. 62

Heating effects in batteries  6/47

                                Capacity                                              0.03
                                        -  30
                                        -  20
                                        -  26                                        I
                                        -  24        1.6-
                                        -  22
                                                                                         -
                                 W h/kg   -          1.5 -                            0.02  5
                                       X   20 2
                                        -  18 5    -                                      W
                                        -  16  2   -                                      C
                                                   >  1.4-
                                                                                          m
                                                                                         c
                                        -  14 'i   W                                     ._
                                                                                         m
                                                                                          E
                                        -  12  g   m                                     -
                                                                                         -
                                        -  10      P  1.3-                            0.01 6
                                                   ?
                                        -8         -0
                                                   5  1.2-
                                        -6
                                        -4             -
                                        -2           1.1
             L--                         -0
            0   4   8   12   16  20   24   28        1  .o   I   I   I   I   I
                                                       0   100  200  300  400  500  600
                     Discharge Tim@ (min)
                                                            Discharge current (A)
      Figure 1.28  2V lead-acid  battery: relationship of discharge time
      with energy density and Ah capacity          Figure 1.30  2V  lead-acid  battery:  relationship  of  discharge
                                                  current with end-Doint e.m.f. and electrical resistance
                                          1.6
                                          1.5
                                          1.4
                                             W  m
                                          1.3 2                         ta   \      130
                                             ?
                 --                          w                                XCapacity
                                          1.2 F
                                          1.1

            0   4   8   12   16  20   24   28   1.0                                 JO
                    Discharge time (mid               0   100  200  300  400  500  600
                                                            Discharge current (A)
      Figure 1.29 2V lead-acid  battery: relationship of discharge time
      with energy density and end-point e.m.f      Figure 1.31 2V  lead-acid  battery:  relationship  of  discharge
                                                   current with Ah capacity and energy density
      1.22  Heating effects in batteries
                                                   Table 1.21  Effect of discharge time on operation parameters of a
      Four types of heating effect will be discussed:   2 V lead-acid  battery
       1. The  chemical  heating  effects  due  to  the  heat  of   Discharge   Discharge   End-point   Capacity   Energy
                                                                                      density
         reaction of lead and lead dioxide with sulphuric acid   time   current   emf   (Ah)   (W m)
         during  battery  charging.  This  becomes  a  cooling   (min)   (A)   (VI
         effect when the battery is being discharged.   ~~
                                                     2        480     1.41     16      22.5
         PbOz + Pb + 2HzSO4 = 2PbSO4 + 2H20 + 89 400 cal   30   60    1.60     30      48
         2PbS04 + 2H20 = PbOz + Pb + 2HzS04 - 89 400 cal
         This heating  effect is identified with  the lieat  con-
         tent change of the reaction  (AH) which, according   -  -3600C
                                                           -
         to  Equation  1.20, is  given  by  the  following  ex-   4.18
         pression:
                                                     where  C = A  h  capacity  of  cell.  Note  that  when
                                                     heat  is  evolved,  e.g.  during  the  discharge  of  a
                                                     lead-acid  battery,  AH has a negative value.
   57   58   59   60   61   62   63   64   65   66   67