Print Email Facebook Twitter Model Reduction and Outer Approximation for Optimizing the Placement of Control Valves in Complex Water Networks Title Model Reduction and Outer Approximation for Optimizing the Placement of Control Valves in Complex Water Networks Author Pecci, Filippo (Imperial College London) Abraham, E. (TU Delft Water Resources) Stoianov, Ivan (Imperial College London) Date 2019 Abstract The optimal placement and operation of pressure control valves in water distribution networks is a challenging engineering problem. When formulated in a mathematical optimization framework, this problem results in a nonconvex mixed integer nonlinear program (MINLP), which has combinatorial computational complexity. As a result, the considered MINLP becomes particularly difficult to solve for large-scale looped operational networks. We extend and combine network model reduction techniques with the proposed optimization framework in order to lower the computational burden and enable the optimal placement and operation of control valves in these complex water distribution networks. An outer approximation algorithm is used to solve the considered MINLPs on reduced hydraulic models. We demonstrate that the restriction of the considered optimization problem on a reduced hydraulic model is not equivalent to solving the original larger MINLP, and its solution is therefore sub-optimal. Consequently, we investigate the trade-off between reducing computational complexity and the potential sub-optimality of the solutions that can be controlled with a parameter of the model reduction routine. The efficacy of the proposed method is evaluated using two large scale water distribution network models. Subject Outer approximationOptimizationMixed integer nonlinear programmingwater distribution networksvalve placementleakage control To reference this document use: http://resolver.tudelft.nl/uuid:db80276b-5de9-451b-a607-87d414f19d66 DOI https://doi.org/10.1061/(ASCE)WR.1943-5452.0001055 Embargo date 2019-11-30 ISSN 0733-9496 Source Journal of Water Resources Planning and Management, 145 (5) Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2019 Filippo Pecci, E. Abraham, Ivan Stoianov Files PDF _ASCE_WR.1943_5452.0001055.pdf 1.1 MB Close viewer /islandora/object/uuid:db80276b-5de9-451b-a607-87d414f19d66/datastream/OBJ/view