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    Model Reduction and Outer Approximation for Optimizing the Placement of Control Valves in Complex Water Networks

    Source: Journal of Water Resources Planning and Management:;2019:;Volume (0145):;issue:005
    Author:
    Filippo Pecci;Edo Abraham;Ivan Stoianov
    DOI: doi:10.1061/(ASCE)WR.1943-5452.0001055
    Publisher: American Society of Civil Engineers
    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.
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      Model Reduction and Outer Approximation for Optimizing the Placement of Control Valves in Complex Water Networks

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4257257
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    contributor authorFilippo Pecci;Edo Abraham;Ivan Stoianov
    date accessioned2019-06-08T07:25:30Z
    date available2019-06-08T07:25:30Z
    date issued2019
    identifier other%28ASCE%29WR.1943-5452.0001055.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4257257
    description abstractThe 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.
    publisherAmerican Society of Civil Engineers
    titleModel Reduction and Outer Approximation for Optimizing the Placement of Control Valves in Complex Water Networks
    typeJournal Article
    journal volume145
    journal issue5
    journal titleJournal of Water Resources Planning and Management
    identifier doidoi:10.1061/(ASCE)WR.1943-5452.0001055
    page04019014
    treeJournal of Water Resources Planning and Management:;2019:;Volume (0145):;issue:005
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian