Optimal Pipe Sizing and Operation of Multistage Centrifugal Pumps for Water Supply
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 11, Issue 2
Abstract
The operation of multistage pumps transporting water from the source to the delivery point requires balancing of the pressure at the junction of the pump and pipeline according to their characteristics. In this paper, nonlinear optimization models are developed to minimize the total annual cost for selecting the sizes of the pipelines in series and parallel connections of pumps taking water from one or more sources. The models are based on life cycle cost analysis, including replacement cost and escalating energy cost factors. The combined characteristic equations of the pumps in series and parallel connections are obtained using the characteristic equation of a single-stage pump. The constraints are imposed for the pressures at the junctions of the pipeline, with the pumps having different characteristics especially drawing water from different sources. The discharges of the pumps are regulated automatically according to the pressures adjusted at the junctions due to the resistance developed by the optimally designed pipe sizes. The requirements of the desired efficiency also are considered constraints in the models. The applicability of the developed models is illustrated through design examples to obtain optimal discharge and pipe sizes from a single water source for series and parallel connections. Also, the examples are solved to obtain the optimal pipe sizes and discharges from different pumps with the same and different characteristics and drawing water from multiple sources.
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References
Bhave, P. R. 2003. Optimal design of water distribution networks. New Delhi, India: Narosa Publishing House.
Bunn, S. M., and L. Reynold. 2009. “The energy-efficiency benefits of pumpscheduling optimization for potable water supplies.” IBM J. Res. Dev. 53 (3): 5:1–5:13. https://doi.org/10.1147/JRD.2009.5429018.
Cengel, Y. A., and J. M. Cimbala. 2007. Fluid Mechanica- fundamentals and applications. New Delhi, India: Tata McGraw-Hill Publishing Company.
Douglas, J. F., J. M. Gasiorek, J. A. Swaffield, and L. B. Jack. 2011. Fluid mechanics. New Delhi, India: Dorling Kindersley (India) Pvt. Ltd.
Giacomello, C., Z. Kapelan, and M. Nicolini. 2013. “Fast hybrid optimization method for effective pump scheduling.” J. Water Resour. Plann. Manage. 139 (2): 175–183. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000239.
Ibarra, D., and J. Arnal. 2014. “Parallel programming techniques applied to water pump scheduling problems.” J. Water Resour. Plann. Manage. 140 (7): 06014002. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000439.
Jensen, M. E. 1981. Design and operation of farm irrigation system. St. Joseph, MI: American Society of Agricultural Engineers.
Lal, J. 1995. Hydraulic machines (including fluidics). New Delhi, India: Metropolitan Book Company.
Lazarkiewicz, S., and A. T. Troskolanski. 1965. Impeller pumps. New York: Pergoman Press.
Lopez-Ibanez, M., T. D. Prasad, and B. Paechter. 2008. “Ant colony optimization for optimal control of pumps in water distribution networks.” J. Water Resour. Plann. Manage. 134 (4): 337–346. https://doi.org/10.1061/(ASCE)0733-9496(2008)134:4(337).
Mahar, P. S., and R. P. Singh. 2014. “Optimal design of pumping main considering pump characteristic.” J. Pipeline Syst. Eng. Pract. 5 (1): 04013010. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000157.
Moreno, M. A., J. I. Córcoles, D. A. Moraleda, A. Martinez, and J. M. Tarjuelo. 2010. “Optimization of underground water pumping.” J. Irrig. Drain. Eng. 136 (6): 414–420. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000229.
Pulido-Calvo, I., and J. C. Gutierrez-Estrada. 2011. “Selection and operation of pumping stations of water distribution systems.” Environ. Res. J. 5 (3): 1–20.
Punmia, B. C., A. K. Jain, and A. K. Jain. 2010. Vol. 1 of Environmental engineering, Water supply engineering. New Delhi, India: Laxmi Publication.
Qasim, S. R., E. M. Motley, and G. Zhu. 2011. Water works engineering-planning, design, and operation. New Delhi, India: PHI Learning Pvt. Ltd.
Rajabpour, R., N. Talebbeydokhti, and M. H. Ahmadi. 2015. “Using jumping particle swarm optimization for optimal operation of pump in water distribution networks.” World Academy Sci. Eng. Technol. Int. J. Civ. Environ. Eng. 9 (9): 1192–1196.
Reca, J., A. Garcia-Manzano, and J. Martinez. 2014. “Optimal pumping scheduling for complex irrigation water distribution systems.” J. Water Resour. Plann. Manage. 140 (5): 630–637. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000360.
Wu, P., Z. Lai, D. Wu, and L. Wang. 2015. “Optimization research of parallel pump system for improving energy efficiency.” J. Water Resour. Plann. Manage. 141 (8): 04014094. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000493.
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Published In
Journal of Pipeline Systems Engineering and Practice
Volume 11 • Issue 2 • May 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Sep 26, 2018
Accepted: Aug 26, 2019
Published online: Jan 30, 2020
Published in print: May 1, 2020
Discussion open until: Jun 30, 2020
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