Page 151 - Entrophy Analysis in Thermal Engineering Systems
P. 151

Entropy and fuel cells                                       145


                                              _
                                        η ¼  W net                       (9.44)
                                           _ n H 2  LHV
              where
                                                  _                      (9.45)
                                      _ W FC,ac ¼ η W FC,dc
                                               inv
              and η inv denotes the DC-AC inverter efficiency assumed to be 0.95 [6] in the
              present calculations.
                 Fig. 9.9 depicts the thermal efficiency and the specific entropy genera-
              tion of the hybrid cycle varying with the compressor pressure ratio. The total
              entropy generation rate of the cycle is the sum of the entropy generation
              rates within the components of the cycle and due to the cooling of the flue
              gases discharged to the atmosphere. Hence,

                             _   _    _   _        _     _   _           (9.46)
                            Φ ¼ Φ c + Φ fc + Φ SOFC + Φ com + Φ t + Φ L
              The calculation of the entropy generation due to the heat rejection to the
                          _
              surrounding, Φ L , is explained in Chapter 8; see Sections 8.4.2, 8.5.1, and
              8.6.1. The specific entropy generation of the cycle is simply obtained using
              Eq. (9.47).
                                                 _
                                                Φ
                                         SEG ¼                           (9.47)
                                                _ n H 2
























              Fig. 9.9 Variation of the thermal efficiency and SEG of the integrated gas turbine and
              SOFC cycle with the compressor pressure ratio.
   146   147   148   149   150   151   152   153   154   155   156