Page 99 - High Temperature Solid Oxide Fuel Cells Fundamentals, Design and Applications
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76  High Temperature Solid Oxide Fuel Cells: Fundamentals, Design and Applications


         are the main  operational  and  design parameters.  The system efficiency qsyst
         is plotted  against excess air h in Figure 3.12 with  qAH  as a parameter.  The
         basic chemical thermodynamics shows that A'G  - and therefore wtFcreL, (Eq. (5))
         and wtsysrev (Eq.  (78)) - is independent of  the excess air h. This can be used
         to prove the model because qsyst is independent of  h for qAH = 1 as expected.
         qsyst decreases  with  increasing  h  for  all   AH  <  1. The  influence  of  qAH
         increases with increasing  h. The behaviour  of  the  system for  qAH = 0.85 is
         shown Figure 3.12.





                                                           -x-   rlAHd.90
                                HE3 (environmeni
                                out of sewice
                               I all HE out of service auxilliaty burner on I
                                                            air heater
                               1   2   3  4   5   6   7   8   efficiency
                                      excess air  A  [-]
                  6,,,,   = 0.6,   HE= 0.7
                  water surplus nw  = 2          integrated reforming
                  TSOFC 900 "C, Tref  = 750 "C, Tevap  = 200 "C
                       =
         Figure 3.12   The injuence of  the excess air I and the eficiency qm of  the heat transfer in the air heater on
         the system eficiency qspst  the SOFCheat engine hybridcycle.
                          of
           First qsyst decreases slightly with an increasing h, because the work of  the
         heat  engine  HE3  decreases  by  compensating  increasing  heat  losses.  The
         other heat  engines are operating  at full load. The decrease of  qsyst becomes
         sharper for an excess air h M 3 because the heat engine HE3 goes out of service by
         a lack of available heat. The total waste heat of the SOFC must be used to supply
         the heat engines HE1 and HE2 which operate between the SOFC and the reformer
         and the evaporator respectively and to compensate the increasing heat loss of the
         air heater. This causes the sharper decrease of the system efficiency qsyst with an
         increasing h in the region 3  < h < 6 by a decreasing supply of work by HE1 and
         HE2. In the region h > 6 there is no heat engine in operation. All further heat
         losses (increasing with increasing excess air  h) must be compensated by the
         auxiliary burner. qsyst drops to values lower than 50% as shown in Figure 3.12.
         These results show that it is important to assure a good heat recovery in the air
         heater system and to avoid a very high excess air h.
                                   is
           The system efficiency qsyst influenced by the exergetic efficiency of the heat
         engines (HE1, HE2, HE3) I;HEI,  rHE2, I;HE~ as well. qsyst is plotted against SHE for
         each of  the three heat engines in Figure 3.1 3. The maximum difference of about
         9% in qsyst occurs if CHE3 (heat sink environment) is varied between 0 and 1. The
         difference is only about 2% if I;HEI  (heat sink reformer) is varied. The variation of
         cHE2  (heat sink evaporator) leads to differences in qsyst  about 8%. The order
                                                          of
         of magnitude of  these differences corresponds to the difference of  the respective
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