Ecuación de costos y función objetivo para la optimización del diseño de redes de flujo de líquidos a presión
DOI:
https://doi.org/10.15446/ing.investig.n49.21407Keywords:
Redes hidráulicas, Algoritmo genético, Costo de sistema de tuberías, Ecuación de costos (es)Hydraulic networks, Genetic algorithm, Piping systems Costs, Cost equation (en)
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El diseño de redes de flujo tiene como objetivo determinar el sistema que satisface las condiciones mínimas de presión y de flujo en los puntos de consumo, con la menor inversión y los menores costos de operación. Para dimensionar la red que cumple con las restricciones hidráulicas a un costo mínimo, se han desarrollado varios métodos de solución, de los cuales han recibido especial atención en los últimos años la programación lineal la programación no lineal y los algoritmos genéticos. En este artículo se presenta una ecuación de costos para redes que manejan líquidos, que, en conjunto con el modelo y el método de solución del problema de mecánica de fluidos, constituyen la base fundamental sobre la cual trabaja cualquiera de los tres métodos de optimización mencionados. La ecuación de costos presentada más adelante, al igual que el modelo y el método de solución de redes desarrollado por Narváez, fueron usados por Galeano en la implementación de un mecanismo de optimización para la determinación de la red de menor costo de flujo a presión.
Optimal design problem of liquid distribution systems has been viewed as the selection of pipe sizes and pumps, which will minimize overall costs, accomplishing the flow and pressure constraints. There is a set of methods for least cost design of liquids distribution networks. In the last years, some of them have been studied broadly: linear programming, nonlinear programming, and genetic algorithms.
This paper describes the development of a cost equation and the objective function for liquid distribution networks that together to the mathematical model and the solution method of the flow problem developed by Narvaez, were used by Galeano in a computer model that involves the application of a genetic algorithm to the problem of least cost design of liquids distribution networks.
References
Alperovits, E. y Shamir, U. "Design of Optimal Water Distribution Networks". Water Resources Research, Vol. 13, No. 6, pp. 885-900. December, 1977. DOI: https://doi.org/10.1029/WR013i006p00885
Arnold, K. y Stewart, M. Surface Production Operations, Gulf Publishing Company, Houston, Texas, USA, 1987.
Dandy, G. C., Simpson, A. R. y Murphy, L. J. “An Improved Genetic Algorithm for Pipe Network Optimization”. Water Resources and Research, Vol. 32, No. 2, pp. 449-458. DOI: https://doi.org/10.1029/95WR02917
Fujiwara, O., Jenchainmahakoon, B., y Edirisisinghe, N. C. P “A Modified Linear Programming Gradient Method for Optimal Design of Looped Water Distribution Networks”, Water Resources Research, Volt. 23, No. 6, 1987, pp. 977-982. DOI: https://doi.org/10.1029/WR023i006p00977
Fujiwara, O. y Khang, D. B. “A Two-Phase Decomposition Method for Optimal Design of Looped Water Distribution Networks", Water Resources Research, Vol. 26, No. 4, April, 1990, pp. 539-549, DOI: https://doi.org/10.1029/WR026i004p00539
Galeano, H. “Estudio e implementación de un prototipo de un sistema de optimización para el dimensionamiento de redes hidráulicas”, Tesis de maestría, Departamento de Ingeniería de Sistemas, Facultad de Ingeniería, Universidad Nacional de Colombia, 2000.
Kessler, Ay Shamir, U. “Analysis of the Linear Programming Gradient Method for Optimal Design of Water Supply Networks", Water Resources Research, Vol. 25, No 7, July, 1989, pp. 1469-1480. DOI: https://doi.org/10.1029/WR025i007p01469
Lansey, K.E. y Mays, L. W. “Optimization Model for Water Distribution System Design", Journal of Hydraulic Engineering, SCE, Vol. 115 No. 10, October, 1989, pp. 1401-1418. DOI: https://doi.org/10.1061/(ASCE)0733-9429(1989)115:10(1401)
Lansey, K. E. Duan, N., Mays, L. W. y Tung, Y. K. “Water Distribution System Under Uncertainties”, Journal of Water Resources Planning and Management, SCE, Vol. 115, No. 5, September, 1989, pp. 630-644. DOI: https://doi.org/10.1061/(ASCE)0733-9496(1989)115:5(630)
Montesinos, M. P, García-Guzmán, A. y Ayuso, J. L. “Optimización de redes de distribución de agua utilizando un algoritmo genético”, Ingeniería del Agua, Vol. 4, No. 1, marzo de 1996, pp 71-77. DOI: https://doi.org/10.4995/ia.1997.2717
Narváez, P C. “Prototipo de software para el dimensionamiento de redes hidráulicas de procesos y centralizadas de agua caliente”, Tesis de maestría, Departamento de Ingeniería Química, Facultad de Ingeniería, Universidad Nacional de Colombia, 1998.
Peters, M. S. y Timmerhaus, K. D. Plant Design and Economics for Chemical Engineers, Third Edition, McGraw-Hill Book Company, 1981.
Savic, D. A. y Walters, G. “Genetic Algorithms for Least-Cost Design of Waters Distribution Networks". Journal of Water Resources Planning and Management, Vol. 123, No. 2, March/April 1997, pp. 67-77. DOI: https://doi.org/10.1061/(ASCE)0733-9496(1997)123:2(67)
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1. Paulo César Narváez, Haiver Galeano. (2004). Genetic algorithms for the optimization of pipeline systems for liquid distribution (2). CT&F - Ciencia, Tecnología y Futuro, 2(5), p.117. https://doi.org/10.29047/01225383.521.
2. Haiver Galeano, Paulo César Narváez. (2003). Genetic algorithms for the optimization of pipeline systems for liquid transportation (1). CT&F - Ciencia, Tecnología y Futuro, 2(4), p.55. https://doi.org/10.29047/01225383.528.
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Copyright (c) 2002 Paulo César Narváez Rincón, Haiver Galeano Paramero

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