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               SYNTHETIC ECONOMIC INDICATORS
               In  order  to  perform  a  more  intuitive  viability  analysis  for  the  “CHP  retrofit  +  DH  network
               installation”  scenarios  identified  as  most  promising  solutions,  for  each  island  the  following
               synthetic economic indicators were derived:
               - The Net Present Value (NPV), defined as shown in Eq. (10):

                                             n life  Net  Re venue
                               NPV    C total          j    j                            (10)
                                                   1
                                              j 1    i def

               In. Eq. 10 the term “idef” (here assumed equal to 5%) represents the “real” discount rate (which
               neutralizes the effects of inflation on the nominal value of future net revenues) needed to adopt
               the “constant currency”  approach, while the  Net Revenue  represents the annual income from
               energy selling.
                     - Discounted Payback Time (DPT), evaluated as following Eq. (11):

                                               κ  Net  Re venue  
                          DPT   min    |   κ     C total    j     0                   (11)
                                             j 1    i def   j     
                                                    1

                     - Profitability Index, a dimensionless indicator calculated as shown in following Eq. (12):

                                                           NPV
                                                      PI                                    (12)
                                                           C total
               Due to the low linear heat density and the consequently high investment costs presented in Table
               5, it can be easily predicted that the designed configurations will result scarcely or moderately
               attractive  from  an  economic  viewpoint.  However,  the  results  are  made  even  worse  by  the
               decision to extend the DH network also with some “Not Economically Viable” main and branch
               pipes, in order to fulfil the public interests to have (i) a higher share of the heat/cooling loads
               covered by “free” energy  recovered  from diesel engines’ operation and  (ii)  the possibility to
               reduce the production cost of electricity in islands, thus being possible to reduce the incentives
               currently assigned with the subsidized feed-in tariff “UC4” (see Section 2). As a consequence, it
               is worthwhile deriving the above synthetic indicators for two reference conditions:
                 1.  Absence of incentives or support mechanisms. The viability of the examined configurations
                   are assessed basing on the results (in terms of capital investment and net annual revenues)
                   obtained in the previous section;
                 2.  Presence  of  currently  available  incentives  and  further  “ad  hoc”  support  mechanisms.  In
                   particular, two simultaneous financial supports will be considered:
                     Coverage of 30% of the total capital investment for the projects (i.e. Ctotal) by public
                      subsidies
                     Additional  annual  revenues  deriving  from  the  sell  of  the  specific  amount  of  White
                      Certificates  that  each  project  is  expected  to  attain,  based  on  the  energy  savings  it
                      achieves. The number of White Certificates [35] assigned may be calculated by Eq. (13):

                                                E      H           
                                N WC   .0860   K      CHP    CHP   F CHP               (13)
                                                                    
                                                  e ref   t ref  

                      where: K is fixed equal to 1.3 for CHP plants  with capacity between 1 MWe and 10
                               ref
                                       ref
                      MWe, ηe  and ηt  respectively represents the reference efficiency for separate power
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