New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as Turbines

The improvement in energy saving aspects in water systems is currently a topic of major interest. The utilization of pumps working as turbines is a relevant strategy in water distribution networks consisting of pressurized pipes, using these machines to recover energy, generate green energy and redu...

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Main Authors: Frank A Plua, Francisco-Javier Sánchez-Romero, Victor Hidalgo, P. Amparo López-Jiménez, Modesto Pérez-Sánchez
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/8/860
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spelling doaj-e2663722ad3a402498f1483dc47932962021-04-14T23:03:19ZengMDPI AGMathematics2227-73902021-04-01986086010.3390/math9080860New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as TurbinesFrank A Plua0Francisco-Javier Sánchez-Romero1Victor Hidalgo2P. Amparo López-Jiménez3Modesto Pérez-Sánchez4Civil and Environmental Engineering Department, Escuela Politécnica Nacional, Quito 170525, EcuadorRural and Agrifood Engineering Department, Universitat Politècnica de València, 46022 Valencia, SpainMechanical Engineering Department, Escuela Politécnica Nacional, Quito 170525, EcuadorHydraulic and Environmental Engineering Department, Universitat Politècnica de València, 46022 Valencia, SpainHydraulic and Environmental Engineering Department, Universitat Politècnica de València, 46022 Valencia, SpainThe improvement in energy saving aspects in water systems is currently a topic of major interest. The utilization of pumps working as turbines is a relevant strategy in water distribution networks consisting of pressurized pipes, using these machines to recover energy, generate green energy and reduce leakages in water systems. The need to develop energy studies, prior to the installation of these facilities, requires the use of simulation tools. These tools should be able to define the operation curves of the machine as a function of the flow rate. This research proposes a new strategy to develop a mathematics model for pumps working as turbines (PATs), considering the modified affinity laws. This proposed model, which can be input into hydraulic simulation tools (e.g., Epanet, WaterGems), allows estimation of the head, efficiency, and power curves of the PATs when operating at different rotational speeds. The research used 87 different curves for 15 different machines to develop the new model. This model improves the results of the previously published models, reducing the error in the estimation of the height, efficiency, and power values. The proposed model reduced the errors by between 30 and 50% compared to the rest of the models.https://www.mdpi.com/2227-7390/9/8/860PAT modelmodified affinity lawshydraulic simulation tool
collection DOAJ
language English
format Article
sources DOAJ
author Frank A Plua
Francisco-Javier Sánchez-Romero
Victor Hidalgo
P. Amparo López-Jiménez
Modesto Pérez-Sánchez
spellingShingle Frank A Plua
Francisco-Javier Sánchez-Romero
Victor Hidalgo
P. Amparo López-Jiménez
Modesto Pérez-Sánchez
New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as Turbines
Mathematics
PAT model
modified affinity laws
hydraulic simulation tool
author_facet Frank A Plua
Francisco-Javier Sánchez-Romero
Victor Hidalgo
P. Amparo López-Jiménez
Modesto Pérez-Sánchez
author_sort Frank A Plua
title New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as Turbines
title_short New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as Turbines
title_full New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as Turbines
title_fullStr New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as Turbines
title_full_unstemmed New Expressions to Apply the Variation Operation Strategy in Engineering Tools Using Pumps Working as Turbines
title_sort new expressions to apply the variation operation strategy in engineering tools using pumps working as turbines
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-04-01
description The improvement in energy saving aspects in water systems is currently a topic of major interest. The utilization of pumps working as turbines is a relevant strategy in water distribution networks consisting of pressurized pipes, using these machines to recover energy, generate green energy and reduce leakages in water systems. The need to develop energy studies, prior to the installation of these facilities, requires the use of simulation tools. These tools should be able to define the operation curves of the machine as a function of the flow rate. This research proposes a new strategy to develop a mathematics model for pumps working as turbines (PATs), considering the modified affinity laws. This proposed model, which can be input into hydraulic simulation tools (e.g., Epanet, WaterGems), allows estimation of the head, efficiency, and power curves of the PATs when operating at different rotational speeds. The research used 87 different curves for 15 different machines to develop the new model. This model improves the results of the previously published models, reducing the error in the estimation of the height, efficiency, and power values. The proposed model reduced the errors by between 30 and 50% compared to the rest of the models.
topic PAT model
modified affinity laws
hydraulic simulation tool
url https://www.mdpi.com/2227-7390/9/8/860
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