Abstract
The Duran-Grossmann model can deal with heat integration problems with variable process streams. Work and Heat Exchange Networks (WHENs) represent an extension of Heat Exchange Networks. In WHEN problems, the identities of streams (hot/cold) are regarded as variables. The original Duran-Grossmann model has been extended and applied to WHENs without knowing the identity of streams a priori. In the original Duran-Grossmann model, the max operator is a challenge for solving the model. This paper analyzes four ways to reformulate the Duran-Grossmann model. Smooth Approximation, Explicit Disjunctions, Direct Disjunctions and Intermediate Temperature strategy are reviewed and compared. The Extended Duran-Grossmann model for WHEN problems consists of both binary variables and non-smooth functions. The Extended Duran-Grossmann model can be reformulated in similar ways. In this study, the performance of different reformulations of the Extended Duran-Grossmann model for WHEN problems are compared based on a small case study in this paper.
Highlights
Heat integration has been widely used to save hot/cold utilities because thermal energy contributes significantly to the total cost of a process (Huang & Karimi, 2013)
2.5 Model Complexity The four reformulations are proposed in the following chronological order: Smooth Approximation (Balakrishna & Biegler, 1992), Explicit Disjunction (Grossmann et al, 1998), Intermediate Temperature strategy (Anantharaman et al, 2014) and Direct Disjunction (Quirante et al, 2017)
We mainly focus on the application of the Duran-Grossmann model for Work and Heat Exchange Networks (WHENs)
Summary
Heat integration has been widely used to save hot/cold utilities because thermal energy contributes significantly to the total cost of a process (Huang & Karimi, 2013). Duran and Grossmann proposed a mathematical model for simultaneous process optimization and heat integration (Duran & Grossmann, 1986). Based on this study, Marmolejo-Correa and Gundersen (2013) developed a novel diagram for exergy and energy targeting for a heat recovery system subject to changes in both temperature and pressure. This method is suitable for low temperature systems such as LNG processes. Since the thermodynamic path and the identity (hot/cold) of process streams are unknown in WHENs, classical heat integration methods cannot be applied. This study investigates the different reformulations and their computational expenses
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