Multi-reservoir design using Pontryagin principle

Multi-reservoir design using Pontryagin principle

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Article ID: iaor20031122
Country: United States
Volume: 25
Issue: 6
Start Page Number: 677
End Page Number: 687
Publication Date: Jun 2002
Journal: Advances in Water Resources
Authors: ,
Keywords: control processes, programming: dynamic
Abstract:

Several successful applications of optimal control theory (OCT) based on the Pontryagin's minimum principle have been recorded in literature. These applications were focused on optimizing the operating policy of multi-reservoir systems. In this study, the performance of OCT algorithm in designing multi-reservoir system is investigated. Three deterministic optimization models based on the OCT were developed to design the best storage strategies in a multi-reservoir system to supply water. Multi-objective programming methods were implemented in the three models in order to consider the two non-commensurate objectives of minimizing cost and water deficit. The applications of these models to a multi-reservoir system were compared to an existing dynamic programming model. The result of this study showed that in all cases, the developed OCT models presented sub-optimal solution in designing multi-reservoir systems.

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