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104   Biofuels for a More Sustainable Future


          system. The costs can be expressed in terms of their conventional compo-
          nents as presented in Eq. (4.5):

                                 C t ¼ I t + O t + M t + G t           (4.5)
          where I is the initial capital cost, O is the operation cost, M is the mainte-
          nance cost, and G represents others marginal costs, respectively, in a given
          period of time t.
             However, for a system producing several products such as food, chemical
          inputs, fuels, and so on, this LCOE is not recommended because each prod-
          uct can have different qualities. Another indicator widely used in the assess-
          ment of the economic viability of biorefineries is the net present value
          (NPV) of the investment, which indicates the financial sustainability of
          the project, calculated by Eq. (4.6).
                                 t
                               X   Cash flow
                        NPV ¼            n   Total investiment         (4.6)
                                    ð 1+ iÞ
                               n¼1
             NPV is usually employed because it enables an evaluation in monetary
          and absolute terms. The use of NPV is recommended when addressing pro-
          jects of different sizes, where different scenarios are analyzed, with several
          configurations. Inconsistencies are therefore avoided in the profitability
          analysis of each project, which could be present if a relative parameter
          was used to evaluate economic performance. The next section shows an
          application of the NPV concept to the FT case.




          20 Determination of NPV for the Fischer-Tropsch case
          (FT case)

          Calculation of the cash flow for the enterprise should include different finan-
          cial aspects such as fixed costs (labor costs, maintenance, etc.) and variable
          costs (raw material costs and other inputs). The investment required for con-
          structing a production unit (plant) can be based on its capacity, and Eq. (4.7)
          presents an estimate for this value, employing capacity and costs of a known
          plant with similar components. The initial investment (capital cost or process
          plant construction costs) can be adjusted from one period to another by the
          CEPCI index (Chemical Engineering, 2017).
                                                α

                                      Capacity
                                              2    CEPCI 2
                         Cost 2 ¼ Cost 1                               (4.7)
                                      Capacity
                                              1    CEPCI 1
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