Economic optimization method to design telescope irrigation of multiples outlets

Engenharia Agrícola

Marinaldo F. Pinto¹  Antonio P. De Camargo¹  Rubens D. Coelho² 

[1] ,USP ESALQ Departamento de Engenharia de Biossistemas

关键词: conduits in series;    minimum cost;    Lagrange multipliers;    condutos em série;    minimização de custo;    multiplicadores de Lagrange;   

DOI  :  10.1590/S0100-69162012000400017

来源: SciELO

【 摘 要 】

In this study is presented an economic optimization method to design telescope irrigation laterals (multidiameter) with regular spaced outlets. The proposed analytical hydraulic solution was validated by means of a pipeline composed of three different diameters. The minimum acquisition cost of the telescope pipeline was determined by an ideal arrangement of lengths and respective diameters for each one of the three segments. The mathematical optimization method based on the Lagrange multipliers provides a strategy for finding the maximum or minimum of a function subject to certain constraints. In this case, the objective function describes the acquisition cost of pipes, and the constraints are determined from hydraulic parameters as length of irrigation laterals and total head loss permitted. The developed analytical solution provides the ideal combination of each pipe segment length and respective diameter, resulting in a decreased of the acquisition cost.

【 授权许可】

CC BY   
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