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CHAPTER 3





                                       Process Optimization






                          his chapter deals with process optimization: its definition,
                          goals, and application areas within sustainable industrial
                     Tprocess design and integration. The aim is to provide
                     information on how to formulate sustainability tasks as optimization
                     problems and on what tools to employ for solving them. The chapter
                     begins with a brief description of the general framework for model
                     building and optimization; this is followed by basics of optimization
                     problems and their classes as well as descriptions of the most common
                     algorithms for solving optimization problems. Finally, the chapter
                     discusses how to build models efficiently, how to handle complexity,
                     and how to ensure model adequacy and sufficient precision. The
                     details of computational implementations of optimization solvers
                     and other software tools are given in Chapter 9.


                3.1 Introduction
                     Building and operating industrial processes entail costs and
                     environmental impacts. Emissions and effluents include: gaseous
                     waste streams, which may harbor CO , SO  and NO ; wastewater and
                                                    2   x       x
                     various aqueous streams; and flue gases. When attempting to
                     improve the environmental and economic performance of process
                     systems, it is important to keep in mind that the processing paths,
                     which connect the various system inputs and outputs, usually
                     interact with each other. Therefore, minimizing resource demands
                     and environmental impacts is greatly facilitated by properly modeling
                     the process systems and then deciding which designs and operating
                     policies to pursue—in what priority and to what extent.
                        Maintaining a balance between model accuracy and simplicity is
                     necessary in order to derive meaningful results with minimal
                     computational expense. A system model can be created for different
                     purposes. A lumped steady-state model (i.e., one that neglects
                     variations in time and space) will contain only algebraic equations.
                     To simplify the problem, steady-state models assume that the
                     operating units are “black boxes” or “gray boxes” (a black box is a model
                     that represents an empirical process in terms of its input, output, and
                     transfer parameters but does not describe any internal physics; a gray

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