Page 319 - Fluid Power Engineering
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Financial Modeling of W ind Projects     285


              where i is the year index, L is the life of the project in years, en(i)is
              the amount of energy generated in year i, rc(i) is the total recurring
              cost in year i, r is the discount rate, and TIC is the total installed cost.

                            L
                                       i
                 pr    =      rc(i)/(1 + r) + TIC  
 L    en(i)/(1 + r) i  (13-2)
                   LCOE
                           i=1                   i=1
              In the above formula, a simplification is utilized based on the as-
              sumption that TIC occurs in the first year. As expected, LCOE does
              not depend on the tariff, equity/debt structure of project, incentives,
              taxes, and other similar factors. When comparing LCOE of different
              sources of energy, the assumptions used in computing recurring cost
              and discount rate must be the same.
                 As an example, consider a 15 MW project with a production of
              50,000 MWh of electrical energy annually. Assume the following:

                    TIC = $27 million or $1,800/kW, discount rate = 8%, life of

                    project = 20 years
                    Operations and maintenance = $0.01/kWh, annual O&M

                    cost = $500,000
                    Annual reserve fund = 1% of TIC = $270,000


                    Land lease + insurance and other administrative costs =
                    $250,000 + $81,000 = $331,000

                            L
                                        i
                              en (i)/(1 + r) = 490,907 MWh        (13-3)
                           i=1
                       L
                                   i
                         rc(i)/(1 + r) + TIC = 10,809,780 + 27,000,000
                      i=1
                                         = $37,809,780            (13-4)
                                   pr    = $0.077/kWh             (13-5)
                                     LCOE
              The interpretation and use of pr LCOE is illustrated next. For the pur-
              poses of illustration, assume:

                    Project is funded with 100% equity

                    Project pays no taxes

                    Project is in the United States with a fixed PPA

                    Production tax credit (PTC) = $0.021/kWh for 10 years


                    Average value of renewable energy credit (REC) =
                    $0.005/kWh
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