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Thermal depolymerization of biogas digestate                      289


                     C i
               U d ¼                                                      (10.6)
                    m dig:

           where,

               C i ¼ C AC + C AOC                                         (10.7)
           According to Santana et al. [57],

                              n
                         ð 1+ iÞ  i
               C AC ¼ I j     n                                           (10.8)
                         ð 1+ iÞ  1
           and

                                                                          (10.9)
               I j ¼ 1:81 E ISBL, j
           and according to Sinnott [58],

                         n
                        X
                                                                         (10.10)
               E ISBL, j ¼ f L  Cost i, j
                         i
           In Eqs. (10.6)–(10.10), C i is the total cost incurred per year; m dig. is the mass of digestate
           handled per year, and initially specified to be 5000tons per year; C AC represents the
           annual equivalent capital cost in US$; C AC represents the annual operating cost in
           US$; n and i represent the project lifetime and the project discount rate, specified to
           be 10years and 10% respectively; I j represents the capital cost in year j; E ISBL,j repre-
           sents the inside battery limit equipment cost in US$ in year j and serves to incorporate
           the cost associated with the utilization of resources for the acquisition, transportation,
           and installation of equipment within the processing area [57];and f L represents the Lang
           factor, given as 3.60 for mixed fluid-solid processing systems [58].


           10.3.1 Cost estimation methods for the proposed HTL-digestate
                   processing pathway

           10.3.1.1 Equipment purchase cost
           AnestimateofthepurchasecostoftheHTLreactorwasobtainedusingchemicalengineer-
           ing plant cost estimation methods. The HTL reactor cost was estimated as follows [59],


                                           0:5
               Cost HTL ¼ 1:5 13, 000 + 34, 000V R                       (10.11)
           where,

                    _ m dig: t T
               V R ¼                                                     (10.12)
                    ρ dig:
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