Reservoir Management Using a Network Flow Optimization Model Considering Quadratic Convex Cost Functions on Arcs

Ayoub Tahiri (), David Ladeveze, Pascale Chiron, Bernard Archimede and Ludovic Lhuissier
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Ayoub Tahiri: Ecole nationale d’ingénieurs de Tarbes
David Ladeveze: Compagnie d’Aménagement des Coteaux de Gascogne
Pascale Chiron: Ecole nationale d’ingénieurs de Tarbes
Bernard Archimede: Ecole nationale d’ingénieurs de Tarbes
Ludovic Lhuissier: Compagnie d’Aménagement des Coteaux de Gascogne

Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), 2018, vol. 32, issue 10, No 16, 3505-3518

Abstract: Abstract The allocation of water resources between different users is a hard task for water managers because they must deal with conflicting objectives. The main objective is to obtain the most accurate distribution of the resource and the associated circulating flows through the system. This induces the need for a river basin optimization model that provides optimized results. This article presents a network flow optimization model to solve the water allocation problem in water resource systems. Managing a water system consists in providing water in the right proportion, at the right place and at the right time. Time expanded network allows to take into consideration the temporal dimension in the decision making. Since linear cost functions on arcs present many limitations and are not realistic, quadratic convex cost functions on arcs are considered here. The optimization algorithm developed herein extend the cycle canceling algorithm developed for linear cost functions. The methodology is applied to manage the three reservoirs of La Haute-Vilaine’s watershed located in the north west of France to protect a three vulnerable areas from flooding. The results obtained with the algorithm are compared to a reference scenario which consists in considering reservoirs transparent. The results show that the algorithm succeeds in managing the reservoir releases efficiently and keeps the flow rates below the vigilance flow in the vulnerable areas.

Keywords: Optimization models; Quadratic convex minimum cost network flow problem; Reservoir operations; Water resources planning and management (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s11269-018-2004-7

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