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How to Select the Number of Active Pumps during the Operation of a Pumping Station: The Convex Hyperbola Charts

Departamento de Ingeniería Civil, Universidad Politécnica de Madrid, Hidráulica, Energía y Medio Ambiente, 28040 Madrid, Spain
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Academic Editor: Enrico Creaco
Water 2021, 13(11), 1474; https://doi.org/10.3390/w13111474
Received: 30 April 2021 / Revised: 21 May 2021 / Accepted: 22 May 2021 / Published: 24 May 2021
This research aims to identify the number of pumps that should be working at any moment during the operation of a pumping station in order to provide the desired volume of water whilst consuming the least amount of energy. This is typically done by complex iterative algorithms that require much computational effort. The pumping station should pump the desired volume of water V* using the least specific energy e* (energy per volume). In the methodology of this article, the shape of the curves e*–V* was analyzed. The result is that such curves present a convex hyperbola shape. This is a straightforward analytic solution that does not require any iterations. The representation of the Convex Hyperbolas Charts will indicate the best pump combination during the operation of a pumping station. Therefore, this is a straightforward resource for practitioners: the curves immediately tell engineers the number of pumps that should be turned on, depending on the desired volume of water to pump. The elaboration of such charts only requires the use of any calculation sheet, only once, and it is a permanent resource that can be used at any time during the operation. In addition, the Convex Hyperbolas Charts are completely compatible and complementary with any other operation control technique. View Full-Text
Keywords: water supply systems; operation; pumping station; energy water supply systems; operation; pumping station; energy
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MDPI and ACS Style

Martin-Candilejo, A.; Martin-Carrasco, F.J.; Santillán, D. How to Select the Number of Active Pumps during the Operation of a Pumping Station: The Convex Hyperbola Charts. Water 2021, 13, 1474. https://doi.org/10.3390/w13111474

AMA Style

Martin-Candilejo A, Martin-Carrasco FJ, Santillán D. How to Select the Number of Active Pumps during the Operation of a Pumping Station: The Convex Hyperbola Charts. Water. 2021; 13(11):1474. https://doi.org/10.3390/w13111474

Chicago/Turabian Style

Martin-Candilejo, Araceli, Francisco J. Martin-Carrasco, and David Santillán. 2021. "How to Select the Number of Active Pumps during the Operation of a Pumping Station: The Convex Hyperbola Charts" Water 13, no. 11: 1474. https://doi.org/10.3390/w13111474

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