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Co m b i n e d  P r o c e s s I n t e g r a t i o n a n d O p t i m i z a t i o n    171


                                     J               K               L



                                       7          8          9         10


                            E        F                G              H


                                  3          4                    5          6



                                     C                          D


                                       1                  2


                                     A                          B

                     FIGURE 8.3  P-graph, where A, . . . , L are the materials and 1, . . . , 10 are the
                     activities.

                         The number of feasible networks is usually large, so a systematic procedure
                       is needed to determine the optimal network. For this purpose, the P-graph
                       framework is proposed. Algorithm MSG verified that the P-graph in Figure 8.3
                       corresponds to the maximal structure, and algorithm ABB provided an optimal
                       set of several alternative structures containing the strict optimum and other
                       mathematically suboptimal networks. One of the 50 solution networks for this
                       problem is given in Figure 8.4.
                     8.3.3  Synthesis of Green Biorefineries

                     P-graph is also employed to examine the contribution that process
                     synthesis can offer to the development of production based on
                     renewable resources (Halasz, Povoden, and Narodoslawsky, 2005).
                     These resources face formidable competition from fossil raw materials.
                     Because their production is usually decentralized, viable processes
                     can result only if the structure of the complete value chain is optimized.
                     In contrast to conventional chemical processes, those using renewable
                     resources have to account for logistic operations affecting the value
                     chain’s structure. Hence, using process synthesis in this application
                     calls for using the highest-quality method for synthesis. The P-graph
                     method, as described in Chapter 7, has proven to be extremely efficient
                     and flexible, so it is well suited for this purpose.

                       Example 8.2: Green Biorefi nery Synthesis (Kromus, 2002)
                       The components of this example are summarized by the flowsheet shown in
                       Figure 8.5. The goal of the considered system is the (decentralized) production
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