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280  High Temperature Solid Oxide Fuel Cells: Fundamentals, Design and Applications


         705.7 Non-activated Contributions to the Total Loss
         Evident  causes  of  the  big  difference  between  EA,cell  and  EA,catho~e  are
         contributions to ASR which are fairly constant with temperature such as Rp,conoer
         and contributions with a metallic-type dependence on temperature such as from
         Ni/YSZ  or  metallic  connections.  These would  be  most  significant  at higher
         temperatures where the thermally activated contributions are smallest. This is
         part of  the explanation for the declining EA observed for Risa cells (as stated
         under Table 10.2). A similar tendency is seen in the analysis of Allied-Signal data
         [3 81.  Conservatively, such non-activated contributions can be estimated as the
         difference between measured and calculated ASR  at high temperatures where
         the non-activated contributions prevail.
           The  data  in  Table  10.2  also  indicate  a  slight  increase  in  EA  with
         increasing  current  i.  Part  of  the  explanation  is  the  relative  importance  of
         R,,,,,,,   plus  Rp,difi  Correction  for  this  effect  would  increase  EA  at  low  i.
         From  Tables  10.2 and  10.3, the  difference  between  EA  for  the  calculated
         ASR (the sum of the individual contributions, Table 10.3) and ASR as measured
         on practical cells (Table 10.2), is about a factor of  2 for the three cells plotted
         in Figure 10.1 1; it is not likely that this effect could be due to uncertainties and
         non-linearities.


         70.5.2 Inaccurate Temperature Measurements
         Another  reason  for  the  cell  EA values  being  much  smaller  than EA  of  the
         electrodes  and the  electrolyte  could  be  the  differences between  actual  and
         assumed cell temperatures. Measurement of  cell temperature during testing is
         not  trivial.  A  cell  larger  than  a  few  cm2  in  area  is  likely  to  experience
         temperature gradients due to cooling by feed gases and heating by current. For
         this reason, measurements of  temperature at multiple points on the cell itself
         are  recommended;  measurements  of  furnace  temperature  or  gas  stream
         temperature  will  typically  be  misleading.  Even  sheathed  thermocouples  in
         contact with the cell surface or contacting structure may influence the actual
         cell temperature by heat conduction.  Using such thermocouples  (diameter =
         1.5 mm), a temperature rise of  20°C has been observed at 1 A/cm2 at 860°C
         [46].  Within the first 3  s, a rise of  < 1°C was observed, and within  20 s the
         temperature was up by 4°C. The total rise occurs over 2-3  min. This means
         that in testing, significant heating of the cell is avoidable for only a few seconds,
         and that i-V  curves should be recorded with this in mind, or corrected for the
         observed T(i) effect. The  difference in measured  and  calculated ASR,  at, for
         example, 750"C, for Risa thick-electrolyte cells, if assumed to be (Figure 10.11)
         entirely due to an inaccurate temperature measurement, would correspond to
         an  over-temperature  of  about  70°C  which  is  highly  unlikely  given  the
         measured temperature increases under load. Hence, the difference between the
         measured  EA  for  cells  and  the  value  expected  from  the  known  activation
         energies of the electrode processes and the electrolyte does not seem to be due to
         erroneous temperature measurement.
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