Optimization of pipe networks by genetic algorithm employing the colebrook correlation//Optimización de redes de tuberías por algoritmo genético que emplea la correlación de colebrook

Authors

  • Ricardo de Souza Antunes

Abstract

Este artículo presentó un procedimiento para identificar el costo mínimo de redes de tuberías para agua considerando los diámetros comerciales diponibles. Para esto, fue desarrollado un Algoritmo Genético (AG) de codificación real con el uso de un cruzamiento binario simulado y convexo, mutación por variable y penalización dinámica. El método de Newton-Raphson es utilizado para calcular las pérdidas de carga empleando las correlaciónes de Hazen-Williams (HW) y Colebrook. Analisando una red de tuberías benchmark, es posible observar que los resultados obtenidos mediante el uso de las correlaciones de HW y Colebrook son diferentes. Además, al simular la mejor configuración de red de tuberías de HW con la correlación de Colebrook, se observa que algunas restricciones del diseño son violadas, lo que indica que la formulación de Colebrook es más adecuada para ser utilizada junto con la AG debido a la aleatoriedad del AG con respecto a los números de Reynolds.

Palabras clave: redes de tuberías, hazen-williams, colebrook, optimización, algoritmo genético.
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Abstract

This paper presents an optimization procedure for identifying the minimum cost of water pipe networks considering a table of commercial diameters. To this end, a real-coding Genetic Algorithm (GA) with the use of a simulated binary and convex crossover and mutation per variable; as well as a dynamic penalty strategywasdeveloped. A computer program to solve the hydraulic model based on the Newton-Raphson method wasdevelopedfor calculating the head loss using Hazen-Williams (HW) and Colebrook correlations. By analyzing a benchmark pipe network example, it is shown that different results are obtained by the HW and Colebrook correlations. Moreover, when simulating the best HW pipe network configuration with the Colebrook correlation, some constraints of the design are violated, indicating that the Colebrook formulation is more adequate to be used in conjunction with the GA due to the randomness of the GA with respect to the Reynolds numbers.

Key words: pipe networks, hazen-Williams, colebrook, optimization, genetic algorithm.

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Published

2019-01-01

How to Cite

1.
de Souza Antunes R. Optimization of pipe networks by genetic algorithm employing the colebrook correlation//Optimización de redes de tuberías por algoritmo genético que emplea la correlación de colebrook. Ing. Mec. [Internet]. 2019 Jan. 1 [cited 2025 Sep. 13];22(1):49-56. Available from: https://ingenieriamecanica.cujae.edu.cu/index.php/revistaim/article/view/603

Issue

Vol. 22 No. 1 (2019): enero-abril

Section

Original article

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