Optimal Membrane Cascade Design for Critical Mineral Recovery through Logic-based Superstructure Optimization

Conference · Sun Jul 14 04:00:00 EDT 2024

DOI:https://doi.org/10.2172/2439776· OSTI ID:2439776

Tran, Norman ^[1]; Ovalle, Daniel ^[1]; Grossmann, Ignacio E. ^[1]; Laird, Carl D. ^[1]

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1. Carnegie Mellon University (CMU)

In this work, we extend the superstructure model proposed by Wamble et al. (2022) that considers feed input locations, recycling strategies, split fractions, stage numbers, and membrane area. We include the total number of stages as a decision variable, which might be particularly useful when there is cost as- sociated with adding additional stages. We propose a Generalized Disjunctive Programming (GDP) superstructure model that integrates all the design variables of the system. We also investigate the scalability of the model by varying the number of stages and the number of finite elements per stage to determine the impact on recovery and solution time.

• Research Organization: National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)
• Sponsoring Organization: USDOE Office of Fossil Energy and Carbon Management (FECM), Office of Resource Sustainability (FE-30)
• OSTI ID: 2439776
• Country of Publication: United States
• Language: English