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    Water hammer mitigation via PDE-constrained optimization

    228626.pdf (1.027Mb)
    Access Status
    Open access
    Authors
    Chen, T.
    Xu, C.
    Lin, Qun
    Loxton, Ryan
    Teo, Kok Lay
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Chen, T. and Xu, C. and Lin, Q. and Loxton, R. and Teo, K.L. 2015. Water hammer mitigation via PDE-constrained optimization. Control Engineering Practice. 45: pp. 54-63.
    Source Title
    Control Engineering Practice
    DOI
    10.1016/j.conengprac.2015.08.008
    ISSN
    0967-0661
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/42038
    Collection
    • Curtin Research Publications
    Abstract

    This paper considers an optimal boundary control problem for fluid pipelines with terminal valve control. The goal is to minimize pressure fluctuation during valve closure, thus mitigating water hammer effects. We model the fluid flow by two coupled hyperbolic PDEs with given initial conditions and a boundary control governing valve actuation. To solve the optimal boundary control problem, we apply the control parameterization method to approximate the time-varying boundary control by a linear combination of basis functions, each of which depends on a set of decision parameters. Then, by using variational principles, we derive formulas for the gradient of the objective function (which measures pressure fluctuation) with respect to the decision parameters. Based on the gradient formulas obtained, we propose a gradient-based optimization method for solving the optimal boundary control problem. Numerical results demonstrate the capability of optimal boundary control to significantly reduce pressure fluctuation.

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