Optimal boundary control for water hammer suppression in fluid transmission pipelines
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...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Pergamon Press
2015
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/35502 |
| _version_ | 1848754514354503680 |
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| author | Chen, T. Ren, Z. Xu, C. Loxton, Ryan |
| author_facet | Chen, T. Ren, Z. Xu, C. Loxton, Ryan |
| author_sort | Chen, T. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T08:41:37Z |
| format | Journal Article |
| id | curtin-20.500.11937-35502 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:41:37Z |
| publishDate | 2015 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-355022017-09-13T15:55:19Z Optimal boundary control for water hammer suppression in fluid transmission pipelines Chen, T. Ren, Z. Xu, C. Loxton, Ryan Water hammer Control parameterization method Hyperbolic partial differential equation Optimal boundary control Method of lines 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. 2015 Journal Article http://hdl.handle.net/20.500.11937/35502 10.1016/j.camwa.2014.11.008 Pergamon Press fulltext |
| spellingShingle | Water hammer Control parameterization method Hyperbolic partial differential equation Optimal boundary control Method of lines Chen, T. Ren, Z. Xu, C. Loxton, Ryan Optimal boundary control for water hammer suppression in fluid transmission pipelines |
| title | Optimal boundary control for water hammer suppression in fluid transmission pipelines |
| title_full | Optimal boundary control for water hammer suppression in fluid transmission pipelines |
| title_fullStr | Optimal boundary control for water hammer suppression in fluid transmission pipelines |
| title_full_unstemmed | Optimal boundary control for water hammer suppression in fluid transmission pipelines |
| title_short | Optimal boundary control for water hammer suppression in fluid transmission pipelines |
| title_sort | optimal boundary control for water hammer suppression in fluid transmission pipelines |
| topic | Water hammer Control parameterization method Hyperbolic partial differential equation Optimal boundary control Method of lines |
| url | http://hdl.handle.net/20.500.11937/35502 |