Modelling flow and pressure controlled pump stations with application to optimal pump scheduling
Many pressurized water distribution systems use pumps for the transport of water and tank filling. Modelling groups of parallel pumps with a common control target remains an open problem in hydraulic modelling. In this article, the authors show how to model flow- and pressure-controlled pumping stat...
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| Vydáno v: | Cambridge Prisms: Water Ročník 3 |
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| Hlavní autoři: | , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Cambridge University Press
01.01.2025
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| ISSN: | 2755-1776, 2755-1776 |
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| Abstract | Many pressurized water distribution systems use pumps for the transport of water and tank filling. Modelling groups of parallel pumps with a common control target remains an open problem in hydraulic modelling. In this article, the authors show how to model flow- and pressure-controlled pumping stations in the analysis of hydraulic pipe networks. The process comprises two distinct phases. In the first phase, the pump station is regarded as a single surrogate link connected to the remainder of the network. The flow and head gain at the active pump stations are computed to ensure satisfaction of the network load requirements. In the second phase, an energy minimization problem is formulated for each local pump station to ascertain the optimal pump speed and which pumps should be active. For real-time applications, very significant improvements are possible by hybrid modelling, such as coupling deterministic modelling, surrogate modelling and neural networks. This can lead to performance improvement with a magnitude of the order of $ {10}^5 $ . The application to optimal pump scheduling in the context of strongly varying electricity tariffs is summarized. |
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| AbstractList | Many pressurized water distribution systems use pumps for transport of water and tank-filling. Modelling groups of parallel pumps that have a common control target is still an open problem in hydraulic modelling. In this paper the authors show how to model flow-and pressure controlled pumping stations in the analysis of hydraulic pipe networks. The process is comprised of two distinct phases. In the first phase, the pump station is regarded as a single surrogate link connected to the remainder of the network. The flow and head gain at the active pump stations are computed to ensure satisfaction of the network load requirements. In the second phase, an energy minimisation problem is formulated for each local pump station to ascertain the optimal pump speed and which are the active pumps. For real-time applications very significant improvements are possible by hybrid modelling: coupling deterministic modelling, surrogate modelling and neural networks. This can lead to performance improvement with magnitude of the order of 1e5 . The application to optimal pump scheduling in the context of strongly varying electricity tariffs is summarised. Many pressurized water distribution systems use pumps for the transport of water and tank filling. Modelling groups of parallel pumps with a common control target remains an open problem in hydraulic modelling. In this article, the authors show how to model flow- and pressure-controlled pumping stations in the analysis of hydraulic pipe networks. The process comprises two distinct phases. In the first phase, the pump station is regarded as a single surrogate link connected to the remainder of the network. The flow and head gain at the active pump stations are computed to ensure satisfaction of the network load requirements. In the second phase, an energy minimization problem is formulated for each local pump station to ascertain the optimal pump speed and which pumps should be active. For real-time applications, very significant improvements are possible by hybrid modelling, such as coupling deterministic modelling, surrogate modelling and neural networks. This can lead to performance improvement with a magnitude of the order of $ {10}^5 $ . The application to optimal pump scheduling in the context of strongly varying electricity tariffs is summarized. |
| ArticleNumber | e11 |
| Author | Fischer, Michael Elhay, Sylvan Deuerlein, Jochen Piller, Olivier Simpson, Angus Ross |
| Author_xml | – sequence: 1 givenname: Sylvan orcidid: 0000-0003-3440-556X surname: Elhay fullname: Elhay, Sylvan – sequence: 2 givenname: Michael surname: Fischer fullname: Fischer, Michael – sequence: 3 givenname: Olivier orcidid: 0000-0002-3625-7639 surname: Piller fullname: Piller, Olivier – sequence: 4 givenname: Jochen surname: Deuerlein fullname: Deuerlein, Jochen – sequence: 5 givenname: Angus Ross surname: Simpson fullname: Simpson, Angus Ross |
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| Cites_doi | 10.1061/JWRMD5.WRENG-5889 10.1061/(ASCE)WR.1943-5452.0001160 10.1061/(ASCE)WR.1943-5452.0001484 10.2166/ws.2024.118 10.1061/(ASCE)WR.1943-5452.0001003 10.1080/14786445108561362 10.1287/mnsc.24.7.747 10.1038/s41592-019-0686-2 |
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| Keywords | variable speed pump content model Nash Equilibrium bi-level optimization Pump scheduling |
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| References | Osborne (S2755177625100051_r10) 1994 S2755177625100051_r3 S2755177625100051_r2 S2755177625100051_r5 S2755177625100051_r11 S2755177625100051_r12 Bernard (S2755177625100051_r1) 2024; 69 S2755177625100051_r7 Marchi (S2755177625100051_r9) 2014; 140 S2755177625100051_r6 Deuerlein (S2755177625100051_r4) 2024; 69 S2755177625100051_r8 |
| References_xml | – volume-title: A Course in Game Theory year: 1994 ident: S2755177625100051_r10 – volume: 69 start-page: 117 year: 2024 ident: S2755177625100051_r4 article-title: ) Modelling variable speed pumps for flow and pressure control using Nash equilibrium publication-title: Engineering Proceedings – ident: S2755177625100051_r5 doi: 10.1061/JWRMD5.WRENG-5889 – volume: 69 start-page: 94 year: 2024 ident: S2755177625100051_r1 article-title: ) Twinoptpro—Digital platform for online pump scheduling optimization publication-title: Engineering Proceedings – volume: 140 start-page: 04014009:1 year: 2014 ident: S2755177625100051_r9 article-title: The battle of the water networks II (BWN-II). Doi:10.1061/ (ASCE) WR. 1943-5452.0000378 publication-title: Journal of Water Resources Planning and Management – ident: S2755177625100051_r11 doi: 10.1061/(ASCE)WR.1943-5452.0001160 – ident: S2755177625100051_r7 doi: 10.1061/(ASCE)WR.1943-5452.0001484 – ident: S2755177625100051_r8 doi: 10.2166/ws.2024.118 – ident: S2755177625100051_r6 doi: 10.1061/(ASCE)WR.1943-5452.0001003 – ident: S2755177625100051_r2 doi: 10.1080/14786445108561362 – ident: S2755177625100051_r3 doi: 10.1287/mnsc.24.7.747 – ident: S2755177625100051_r12 doi: 10.1038/s41592-019-0686-2 |
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| Snippet | Many pressurized water distribution systems use pumps for the transport of water and tank filling. Modelling groups of parallel pumps with a common control... Many pressurized water distribution systems use pumps for transport of water and tank-filling. Modelling groups of parallel pumps that have a common control... |
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| SubjectTerms | bilevel optimization Civil Engineering Computer Science content model Engineering Sciences Mathematics Modeling and Simulation Nash equilibrium Operations Research Optimization and Control pump scheduling variable speed pump |
| Title | Modelling flow and pressure controlled pump stations with application to optimal pump scheduling |
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