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To address the issue of developing a systematic framework to develop novel PSA cycles, we present an optimization-based framework to generate optimal PSA cycles from a 2-bed PSA superstructure. The interconnections between the two beds are governed by time-dependent control variables. Different PSA operating steps are realized by varying these control variables. We achieve an optimal sequence of operating steps by solving an optimal control problem with the PDAEs of the PSA system. To demonstrate this framework, we limit the scope of this work to binary feed mixtures. Extending the formulation to multicomponent feed streams and multibed cycles is straight-forward. In order to address the challenge associated with efficient computation of PSA bed models and optimization problem, we develop a model reduction based framework that systematically generates cost-efficient low-order representations of such large-scale PSA models. In partic- ular, we obtain these reduced-order models (ROMs) using proper orthogonal decomposition (POD). POD basis functions are used within a Galerkin’s projection framework to derive a low-order DAE system that accurately describes the dominant dynamics of the PDAE system. Further, these ROMs are used as surrogate models to define much smaller and computationally efficient optimization problem. Finally, we develop a novel trust-region framework to formu- late a convergent and robust optimization algorithm which utilizes these ROM-based smaller optimization problems. In this work, we illustrate this framework with manageable two-bed PSA systems. However, the algorithm developed is generic and can be extended to multibed PSA systems with multicomponent feed mixtures. 1.4 Thesis Outline In this thesis, our main focus is to introduce and develop these two novel ideas mentioned above (the 2-bed PSA superstructure to systematically generate optimal PSA cycles, and the novel trust-region framework for optimization using reduced-order models), and present a proof of concept for them using practical and computationally manageable PSA problems. We organize our work in eight chapters, and present an outline of each chapter in this section. 1.4 Thesis Outline Chapter 1. Introduction 8PDF Image | Design and Operation of Pressure Swing Adsorption Processes
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