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Global optimization in property-based interplant water integration

Authors

  • Eusiel Rubio-Castro,

    1. Dept. of Chemical Engineering, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán, México
    2. Dept. of Chemical and Biological Sciences, Universidad Autónoma de Sinaloa, Culiacán, Sinaloa, México
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  • José María Ponce-Ortega,

    Corresponding author
    • Dept. of Chemical Engineering, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán, México
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  • Medardo Serna-González,

    1. Dept. of Chemical Engineering, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán, México
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  • Mahmoud M. El-Halwagi,

    1. Dept. of Chemical Engineering, Texas A&M University, College Station, TX
    2. Dept. of Chemical and Materials Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
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  • Viet Pham

    1. Dept. of Chemical Engineering, Texas A&M University, College Station, TX
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Correspondence concerning this article should be addressed to J. M. Ponce-Ortega at jmponce@umich.mx.

Abstract

This article presents a new global optimization method for the interplant water integration based on properties to characterize streams with numerous components. The problem is formulated as an mixed-integer non-linear programming (MINLP) model based on a superstructure that involves all possible options of interest (i.e., reuse and recycle in the same and to other plants and a set of shared treatment units). This formulation exhibits multiple local minima, and to overcome this problem, this article proposes effective branching rules in addition to two new reformulations for the upper bound (integer feasible solution) and the lower limit (relaxed solution), which are incorporated into a spatial branch and bound procedure to handle the bilinear terms in the model. The objective consists in finding the configuration with the minimum total annual cost. Results show that the global optimal solution (involving significant reductions in the fresh water consumption) is reached in few iterations and short central processing unit (CPU) time. © 2012 American Institute of Chemical Engineers AIChE J, 59: 813–833, 2013

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