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Optimal operations in non‐linear water networks
Author(s) -
Coulbeck B.
Publication year - 1980
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660010204
Subject(s) - curse of dimensionality , computer science , mathematical optimization , scheme (mathematics) , control (management) , linear programming , quadratic equation , mathematics , algorithm , artificial intelligence , mathematical analysis , geometry
The paper introduces the practical problems associated with automated control of large‐scale non‐linear water networks and gives the additional theoretical requirements for optimizing the network operation. A control scheme is presented which is intended for computer controlled operations and hence requires on‐line evaluation of optimal control strategies based on a simulation of the overall dynamics of the network. Realistic applications of the scheme are shown to depend on adequate simplifications of the network performance, and results are given for development of linear dynamic models together with cost criteria in linear or quadratic form. Use of a hierarchical optimization technique permits a solution to be obtained to the remaining problems of high dimensionality with constrained variables. Application of the method to a complex network leads to results which are consistent with normal operational experience and which give minimized overall costs.