Abstract

For rating of a given network, a mathematical model with its explicit analytical solution is presented for the calculation of target temperatures, hot and cold utilities, and total annual cost (TAC). One example is calculated; the program is attached. For sizing problems, two methods are described, the matrix formulation and the nonlinear programming. For synthesis, first, the Pinch technology using composite curves is explained and demonstrated with two examples. Then, different mathematical programming methods are described. Finally, stochastic and heuristic optimization algorithms are presented, such as genetic, simulated annealing, particle swarm optimization algorithms, and knowledge-based expert system. Twenty-seven synthesis examples with TAC optimization from the literature using different optimization methods are summarized and verified.

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