Abstract
The evolution of water distribution systems to pressurized networks has improved water use efficiency, but also significantly increased energy consumption. However, sustainable irrigated agriculture must be characterized by the reasonable and efficient use of both water and energy. Irrigation sectoring where farmers are organized in turns is one of the most effective measures to reduce energy use in irrigation water distribution networks. Previous methodologies developed for branched irrigation networks with one single source node have resulted in considerable energy savings. However, these methodologies were not suitable for networks with several water supply points. In this work, we develop an optimization methodology (WEBSOM) aimed at minimizing energy consumption and based on operational sectoring for networks with several source nodes. Using the NSGA-II multi-objective genetic algorithm, the optimal sectoring operation calendar that minimizes both energy consumption and pressure deficit is obtained. This methodology is tested in the irrigation district of Palos de la Frontera (Huelva, Spain) with three pumping stations, showing that potential annual energy savings of between 20 % and 29 % can be achieved, thus ensuring full pressure requirements in nearly all hydrants, along with the total satisfaction of irrigation requirements.
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Abbreviations
- γ:
-
Water specific weight
- η:
-
Global efficiency of pumps
- EC:
-
Pumping stations operation energy consumption
- CID:
-
Penalty factor depending on irrigation deficit
- CMPD:
-
Penalty factor depending on the magnitude of pressure deficit
- Ds :
-
Number of days in month s
- Hiws :
-
Pressure head of pumping station i when sector w operates in month s
- i:
-
Pumping stations index
- IN:
-
Theoretical daily irrigation requirements per month and hydrant
- j:
-
Index related to nodes
- lj * :
-
Topological dimensionless coordinate related to friction losses in pipes
- lj−i :
-
Distance between the hydrant j and the pumping station i
- lmax−i :
-
Distance between the furthest hydrant and the pumping station i
- N:
-
Number of pumping stations
- Ns :
-
Number of irrigation network operation months
- Nsect :
-
Number of operating sectors during month s
- nv :
-
Number of decision variables
- Pf:
-
Pressure failure percentage
- qj :
-
Base demand in hydrant j
- qmax :
-
Design flow
- Qiws :
-
Pumped flow by pumping station i when sector w operates in month s
- Qreqs :
-
Theoretical irrigation requirements during month s
- Qsupplys :
-
Flow supplied by pumping stations during month s
- s:
-
Month index
- Sj :
-
Irrigation area associated to each hydrant
- tds :
-
Water availability time during month s
- trs :
-
Daily irrigation time required during month s
- ts :
-
Daily irrigation time during month s
- w:
-
Index related to sector
- zj * :
-
Topological dimensionless coordinate related to the hydrant elevation j
- zi :
-
Pumping station elevation i
- zj :
-
Hydrant elevation j
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Acknowledgments
This research is part of the AMERE project (AGL2011-30328-C02-02), funded by the Spanish Ministry of Economy and Competitiveness.
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Fernández García, I., Rodríguez Díaz, J.A., Camacho Poyato, E. et al. Optimal Operation of Pressurized Irrigation Networks with Several Supply Sources. Water Resour Manage 27, 2855–2869 (2013). https://doi.org/10.1007/s11269-013-0319-y
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DOI: https://doi.org/10.1007/s11269-013-0319-y