Mathematical Programming Methods for Pressure Management in Water Distribution Systems | Zendy

Filippo Pecci | Zendy; Edo Abraham | Zendy; Ivan Stoianov | Zendy

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Mathematical Programming Methods for Pressure Management in Water Distribution Systems

Author(s) -

Filippo Pecci,

Edo Abraham,

Ivan Stoianov

Publication year - 2015

Publication title -

procedia engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.32

H-Index - 74

ISSN - 1877-7058

DOI - 10.1016/j.proeng.2015.08.974

Subject(s) - solver , mathematical optimization , nonlinear programming , minification , nonlinear system , computer science , binary number , convex optimization , linear programming , regular polygon , mathematics , physics , geometry , arithmetic , quantum mechanics

In this paper, we survey mathematical programming methods for the management of pressure in water distribution systems through optimal placement and operation of control valves. The optimization framework addresses the minimization of average zone pressure under multiple demand scenarios, enforcing hydraulic equations as nonlinear constraints. Binary variables are used to model the placement of valves. The derived nonlinear optimization problem is a non-convex MINLP. We implement and evaluate a direct MINLP solver and two different reformulation methods for MINLPs that solve sequences of regular NLPs. Moreover, we investigate the solutions under different design and operation loading conditions

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