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138   Cha p te r  S i x



                                                            Ending inventory
                           6
                           5               Demand
                         Time [months]  4 3  d Δt  Composite Curve  Pinch point


                                          I k
                                   k
                                                 Production
                           1 2                Composite Curve
                                I t−1
                                      P Δt + c k
                                       k
                           0         5000       10000      15000       20000
                              I 0
                                               Material quantity [units]
                     FIGURE 6.14  Supply chain Composite Curves (after Singhvi, Madhavan, and
                     Shenoy, 2004).




                     6.4.4  Using the Pinch to Target CO  Emissions
                                                      2
                     Emission targeting via Pinch analysis was investigated in the 1990s
                     by Linnhoff and Dhole (1993), Dhole and Linnhoff (1993b), and
                     Klemeš et al. (1997). The applications, which employ the  Total Site
                     concept, address optimization within industrial facilities, not within
                     extended sites as regional or national energy sectors. However, a later
                     work (Perry, Klemeš, and Bulatov, 2008) included the regional
                     dimension in a Total Site Analysis of integrating renewable sources
                     of energy.
                        Tan and Foo (2007) presented a further application of Pinch
                     Analysis to energy-sector planning under carbon emission
                     constraints: the Carbon Emission Pinch Analysis (CEPA). The main
                     problems addressed by the proposed methodology are (1) identifying
                     the minimum quantity of zero-emission energy resources needed to
                     meet the specified energy requirements and emission limits of
                     different sectors or regions in a system and (2) designing an energy
                     allocation scheme that meets the specified emission limits while
                     minimizing use of the energy resources. The sequence of the
                     proposed Pinch Analysis is as follows (Tan and Foo, 2007):

                         •  Tabulate the energy source and demand data. The resulting
                            table must contain the quantity of the energy sources (S) and
                                                                          i
                            demands (D) and their respective emission factors (C
                                       j                                    out,i
                            and C ).
                                 in,j
                         • Arrange the energy sources and demands in order of
                            increasing emission factors.
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