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    Optimal boundary control for water hammer suppression in fluid transmission pipelines

    226554_226554.pdf (1.081Mb)
    Access Status
    Open access
    Authors
    Chen, T.
    Ren, Z.
    Xu, C.
    Loxton, Ryan
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Chen, T. and Ren, Z. and Xu, C. and Loxton, R. 2015. Optimal boundary control for water hammer suppression in fluid transmission pipelines. Computers and Mathematics with Applications. 69 (4): pp. 275-290.
    Source Title
    Computers and Mathematics with Applications
    DOI
    10.1016/j.camwa.2014.11.008
    ISSN
    0898-1221
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/35502
    Collection
    • Curtin Research Publications
    Abstract

    When fluid flow in a pipeline is suddenly halted, a pressure surge or wave is created within the pipeline. This phenomenon, called water hammer, can cause major damage to pipelines, including pipeline ruptures. In this paper, we model the problem of mitigating water hammer during valve closure by an optimal boundary control problem involving a nonlinear hyperbolic PDE system that describes the fluid flow along the pipeline. The control variable in this system represents the valve boundary actuation implemented at the pipeline terminus. To solve the boundary control problem, we first use the method of lines to obtain a finite-dimensional ODE model based on the original PDE system. Then, for the boundary control design, we apply the control parameterization method to obtain an approximate optimal parameter selection problem that can be solved using nonlinear optimization techniquessuch as Sequential Quadratic Programming (SQP). We conclude the paper with simulation results demonstrating the capability of optimal boundary control to significantly reduce flow fluctuation.

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