The Optimization of Irrigation Networks Using Genetic Algorithms
- 1 Department of Hydrology Applied, Geological Survey of Brazil, Porto Alegre, Brazil
- 2 Department of Hydraulic, School of Engineering of Sao Carlos, University of Sao Paulo, Sao Carlos, Brazil
Abstract
Mathematical-computational optimisation models of irrigation networks with a distributed flow that are capable of providing hydraulic data are important for understanding the behaviour of a system in relation to the distribution of the hydraulic head (energy) and the pressure in the pipes of the network. The objective of this study was to examine the distribution of the parameters of hydraulic irrigation pipes, which were optimised using genetic algorithms. The degree of the optimisation was evaluated with the help of the genetic algorithms based on the diameters of stretch of the network: two for the lateral lines, four for the derivation lines, four for the secondary lines and one for the main line. A MatLab code was developed that considered all of the losses of energy, both distributed losses and those at specific locations between the beginning of the network and the pump system. The sensitivity analysis was based on the variations in the slope of the ground (0%, 2.5% and 5%). The results show that for pipes with a distributed flow, the influence of the behaviour of the kinetic energy in the pipe contributed to the distance between the energy lines and the piezometric lines at the beginning of each stretch after the decrease in the diameter of the pipes. At the end of the pipes, the values of the energy lines and the piezometric lines were very similar, and they were essentially the same for the final emitter.
- Kuwabara, G. and Matsura, E.E. (1996) An Evaluation of the Hydraulic Behaviour of the Lateral Lines of Dripper Tubes. In: National Congress OF Irrigation and Drainage, 11. 1996, Campinas. Anais... Vicosa: Brazilian Association of Irrigation and Drainage, 275-287.
- Santiago, F.S., Montenegro, A.A.A. and Montenegro, S.M.G.L. (2004) Evaluation of Hydraulic Parameters and the Management of Microsprinkler Irrigation in a Settlement Area. Engenharia Agricola, 24, 632-643. http://dx.doi.org/10.1590/S0100-69162004000300015
- Souza, I.H., Andrade, E.M. and Silva, E.L. (2005) Design and Hydraulics Evaluation of a Low-Head Microirrigation Bubbler System. Engenharia Agricola, 25, 264-271. http://dx.doi.org/10.1590/S0100-69162005000100029
- Saad, J.C.C. and Marino, M.A. (2002) Optimum Design of Microirrigation Systems in Sloping Lands. Journal of Irrigation and Drainage Engineering, 128, 116. http://dx.doi.org/10.1061/(ASCE)0733-9437(2002)128:2(116)
- Saad, J.C.C. and Frizzone, J.A. (1996) Design and Management Optimization of Trickle Irrigation System Using Non-Linear Programming. Journal of Agricultural Engineering Research, 64, 109-118. http://dx.doi.org/10.1006/jaer.1996.0052
- Lucena, K.F.M. and Matos, J.A. (2001) Economic Analysis of Sub-Units of Localised Irrigation. In: Brazilian Congress of Agricultural Engineering, 30, 2001. Foz do Iguacu: Anais... Foz do Iguacu: Brazilian Association of Agricultural Engineering, 2001. 1 CD-ROM.
- Sarkar, S., Goswami, S.B., Mallick, S. and Nanda, M.K. (2008) Different Indices to Characterize Water Use Pattern of Micro-Sprinkler Irrigated Onion (Allium cepa L.). Agricultural Water Management, 95, 625-632. http://dx.doi.org/10.1016/j.agwat.2008.01.002
- Sezen, S.M., et al. (2011) Comparison of Drip and Sprinkler Irrigation Strategies on Sunflower Seed and Oil Yield and Quality under Mediterranean Climatic Conditions. Agricultural Water Management, 98, 1153-1161. http://dx.doi.org/10.1016/j.agwat.2011.02.005
- Gomes, A.W.A., Frizzone, J.A., Rettore Neto, O. and Miranda de, J.H. (2010) Localised Head Loss in Drippers Integrated into Polyethylene Tubes. Scielo Web Publishing. http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-6916 2010000300008&lng=pt&nrm=iso
- Zitterell Danieli, B., et al. (2009) Head Loss of Microtubes and Connectors Used in Irrigation. Publishing Scielo Brasil. http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0100-6916 2010000300008&lng=pt&nrm=iso