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incorporated in CoB and CnB for higher selectivity, efficient separation, and enhanced purity and recovery for one or more components. • Although analyzed for CO2 capture in this work, the superstructure framework is fairly general and can be applied for many other PSA applications in future. ROM-based Optimization • Although the trust-region algorithms developed are globally convergent, more detailed convergence analysis can be be carried out with a focus on improved performance. • In this work, we do not consider CSS conditions as a part of the original optimization problem, and achieve CSS for each trust-region iteration in our case studies because we assume that the number of decision variables, and equality and inequality constraints re- main same for both original problem and ROM-based trust-region subproblem. However, CSS conditions for the original problem get reduced in dimension for the ROM-based trust-region subproblem after applying Galerkin projection onto the POD subspace, thus violating our assumption. In future, a different trust-region framework, such as the re- cursive multilevel algorithm proposed by Gratton et al. [87, 88] can be devised to handle CSS constraints. • Although we demonstrate the trust-region algorithms for a two-bed four-step PSA pro- cess, in future, the proposed framework can easily be extended to optimize large-scale PSA applications involving multiple adsorbent layers, complex flow patterns and more challenging multi-component feed mixtures. • The trust-region framework architected in this work is fairly generic and can be utilized for applications other than PSA as well. • Finally, success of the trust-region framework depends heavily on the quality of the reduced-order models and their ability to correctly predict the descent directions for the 8.2 Directions for Future Work Chapter 8. Conclusions 190PDF Image | Design and Operation of Pressure Swing Adsorption Processes
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