Energy Systems for Multigeneration Purposes

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Energy Systems for Multigeneration Purposes ( energy-systems-multigeneration-purposes )

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often desirable to break it down into smaller subsystems. In this case, optimization should be done on each subsystem independently, i.e., sub-optimization of the subsystems is performed. 5.4.1 Objective functions and system criteria The next step in an optimization problem is to define the system criteria, which is sometimes called the objective function. The objective function is based on the desire or purpose of the decision maker, and it can be either maximized or minimized. Optimization criteria can vary widely. For instance, it can be based on efficiency (energy, exergy or other efficiencies), economic (total capital investment, total annual levelized costs, cost of exergy destruction, and cost of environmental impact), technological (production rate, production time and total weight) and/or environmental (rate of emitted pollutants). Note that we can consider more than one objective function to find the optimal solution for an optimization problem. This method is called multi-objective optimization [47]. 5.4.2 Decision variables Another essential element in formulating an optimization problem is the selection of the independent decision variables that adequately characterized the possible design options. To select these decision variables, it is important to (a) include all important variables that could affect the performance and cost effectiveness of the system, (b) not include variables with minor importance, and (c) distinguish among independent variables whose values are amenable to change. In each optimization problem, only decision variables are changing. Variables whose values are calculated from the independent variables using mathematical models are dependent variables. 5.4.3 Constraints The constraints in a given design problem arise due to limitations on the ranges of the physical variables, basic conservation principles which must be satisfied and other limitations. The restrictions on the variables may arise due to the space, equipment, and materials that are being employed. These may restrict, for example, the dimensions of the system, the highest temperature that the components can safely attain, the allowable pressure, the material flow rate, the force generated, and so on. Also, minimum values of the temperature may be specified for 63

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