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OPTIMAL MANAGEMENT AND DESIGN OF HYDRAULIC SYSTEMS 1
Author(s) -
Cenedese Antonio,
Mele Paolo
Publication year - 1978
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1978.tb02175.x
Subject(s) - mathematical optimization , iterative method , pipeline (software) , nonlinear system , linear programming , variable (mathematics) , function (biology) , flow (mathematics) , mathematics , computer science , mathematical analysis , physics , geometry , quantum mechanics , evolutionary biology , biology , programming language
A possible methodology is developed to deal with the problem of designing complex pipeline systems, when they are subject to different rates of demand, and when a hypothesis of the flow distribution in different branches is not allowed. The mathematical algorithm used in linear programming. The problem, which is not linear, is dealt with by means of an iterative method; that is, by starting with a possible solution and inserting at each iteration the solution found in the preceding iteration. By taking as variables of the problem the piezometric heads of the ends for each branch of the network, the piezometric gradients and flows, and by thus considering the diameter as a derived variable, it is possible to isolate the nonlinearity in the cost function of the network. The latter is linearized each time close to the solution found in the preceding iteration.