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178   Cha p te r  E i g h t


                     necessary retrofit changes in the network structure. For example, the
                     retrofit of a conventional downstream process for the biochemical
                     production of butanol is accomplished by incorporating newly
                     identified adsorbing units, whose characteristics are summarized in
                     Table 8.3. Note that each of the processing units 24 and 25 are
                     represented by two operating units in the P-graph—that is, 24–1,
                     24–2 and 25–1, 25–2, respectively.
                        The P-graph of the problem’s maximal structure is presented in
                     Figure 8.10. It includes a gas stripper, an extractor, 27 simple
                     distillation columns, two azeotropic distillation units, a centrifuge,
                     and four adsorption columns.
                        The objective function is to minimize the operating cost (in terms
                     of its present values) for all operating units in the process flowsheet.
                     The cost for the three operating units is estimated heuristically. The
                     optimal flowsheet is illustrated in Figure 8.11.
                        This approach to retrofitting accounts for the fact that any change
                     implemented in downstream processing systems—especially at an
                     upper segment—will tend to propagate throughout the system as a
                     function of each system’s unique sequence of structural features. The
                     approach is also applicable to many other chemical processes that
                     share the same structural features. With this methodology, a set of
                     optimal and near-optimal retrofit flowsheets can be generated and
                     ranked in terms of their costs. One (or more) of the options in this set
                     may be seen as infeasible or unsustainable when the retrofitted
                     system is further assessed by taking into account additional criteria
                     and constraints, including stability and controllability as well as
                     environmental, societal, and regulatory constraints.


                                                                 Annual cost
                                                      3
                 Operating units and subunits   Cost [10 $]
                                                                   3
                                                                 [10 $/y]
                 No. of  No. of   Equipment  Type  Capital  Annualized  Operating  Total
                 units  sub-  desig-                   capital
                       units  nation
                 23    —      C1       Centrifuge  9,240  3,080   1,168   4,248
                 24    24–1   B1       Adsorption  25,107  8,369   871    9,248
                                       column
                 24    24–2   B2       Adsorption
                                       column
                 25    25–1   B3       Adsorption   3,806  1,269   132    1,401
                                       column
                 25    25–2   B4       Adsorption
                                       column


                TABLE 8.3  Characteristics, Including Costs of Operating Units, Identified by the
                P-graph Method (after Liu et al., 2006)
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