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dc.contributor.authorChen, T.
dc.contributor.authorRen, Z.
dc.contributor.authorXu, C.
dc.contributor.authorLoxton, Ryan
dc.identifier.citationChen, 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.

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.

dc.publisherPergamon Press
dc.subjectWater hammer
dc.subjectControl parameterization method
dc.subjectHyperbolic partial differential equation
dc.subjectOptimal boundary control
dc.subjectMethod of lines
dc.titleOptimal boundary control for water hammer suppression in fluid transmission pipelines
dc.typeJournal Article
dcterms.source.titleComputers and Mathematics with Applications
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access

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