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Incorporating the Irrigation Demand Simultaneity in the Optimal Operation of Pressurized Networks with Several Water Supply Points

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Abstract

Network sectoring is one of the most effective measures to reduce energy consumption in pressurized irrigation networks. In this work, the previous model focused on the irrigation networks sectoring with several supply points (WEBSOM), which considered the simultaneous operation of all hydrants, has been improved by integrating an analysis of multiple random demand patterns and their effects on variability in hydrant pressure (extended WEBSOM). The extended WEBSOM has implied a multiobjective optimization, followed by a Montecarlo procedure to analyze different flow regimes using quality of service indicators, a novelty for multi-source pressurized irrigation networks. This innovation has involved energy savings ranging from 9 to 15 % with respect to the consideration of the concurrent operation of all hydrants, which rarely occurs in on-farm irrigation systems. These energy savings were associated with maximum values of pressure deficit of 21 and 34 % in the most critical hydrant with a deficit frequency of 27 and 36 % in the peak month. However, smaller and less frequent deficits were achieved in the rest of the months. Thus, substantial energy savings can be obtained in irrigation districts without significant losses in the service quality provided to farmers.

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Abbreviations

γ:

Water specific weight

η:

Global efficiency of pumps

a:

Coefficient to enhance the penalty introduced by CID

i:

Pumping stations index

j:

Index related to nodes/ hydrants

k:

Index related to number of simulations

m:

Index related to selected solution

p:

Index related to peak month

s:

Month index

w:

Index related to sector

tds :

Water availability time during month s

trs :

Daily irrigation time required during month s

ts :

Daily irrigation time during month s

CID:

Penalty factor depending on irrigation deficit

CMPD:

Penalty factor depending on the magnitude of pressure deficit

Ds :

Number of days in month s

EC:

Energy consumption

FPDFPHjs :

Monthly frequency of pressure deficit at FPH j

FPH:

Hydrant with pressure failure

Hiws :

Pressure head of pumping station i when sector w operates in month s

N:

Number of pumping stations

Nlds :

Number of loading conditions during month s

Nsect :

Number of operating sectors

\( \overline{Pb{q}_{FPHj}} \) :

Average pressure of the fourth quartile for FPHj

PDFPHj :

Pressure deficit at FPHj

PEFPHj :

Pressure equity at FPHj

Pf:

Pressure failure percentage

\( \overline{Pl{q}_{FPHj}} \) :

Average pressure of the first quartile for FPHj

Pser :

Service pressure

Qiws :

Pumped flow by pumping station i when sector w operates in month s

Qreqs :

Theoretical irrigation requirements during the month s

Qreqsp :

Theoretical irrigation requirements during the peak month

Rkws :

Random number per simulation k, sector w and month s

RISs :

Monthly crop relative irrigation supply

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Acknowledgments

This research is part of the TEMAER project (AGL2014-59747-C2-2-R), funded by the Spanish Ministry of Economy and Competitiveness.

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Correspondence to I. Fernández García.

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Fernández García, I., Montesinos, P., Camacho Poyato, E. et al. Incorporating the Irrigation Demand Simultaneity in the Optimal Operation of Pressurized Networks with Several Water Supply Points. Water Resour Manage 30, 1085–1099 (2016). https://doi.org/10.1007/s11269-015-1212-7

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