LAPSE:2024.1521
Published Article

LAPSE:2024.1521
Integration of Design and Operation with Discretization Error Control
August 15, 2024. Originally submitted on July 9, 2024
Abstract
Optimization-based process design is a central task of process systems engineering. However, solely relying on steady-state models may potentially lead to dynamic constraint violations, hinder robust performance, or simply reduce the controllability of a process. This has led to the consideration of process dynamics in the design phase, which is commonly termed integration of design and operation / control. Recently, we proposed a framework to carry out this integrative task by formulating a large-scale nonlinear programming problem that is solved simultaneously. To this end, the dynamic process model was discretized, and dynamic variability and parametric uncertainty were included. However, the proposed framework only operates on constant lengths of the finite elements. The discretization error was not assessed. Within this contribution, a method for quantifying this discretization error and adapting the number of finite elements accordingly is incorporated into the recently proposed framework and applied on the case study of a continuous tank reactor. The obtained results with and without discretization error control are compared and, based thereon, a more suitable way to apply the control variables on the process is proposed.
Optimization-based process design is a central task of process systems engineering. However, solely relying on steady-state models may potentially lead to dynamic constraint violations, hinder robust performance, or simply reduce the controllability of a process. This has led to the consideration of process dynamics in the design phase, which is commonly termed integration of design and operation / control. Recently, we proposed a framework to carry out this integrative task by formulating a large-scale nonlinear programming problem that is solved simultaneously. To this end, the dynamic process model was discretized, and dynamic variability and parametric uncertainty were included. However, the proposed framework only operates on constant lengths of the finite elements. The discretization error was not assessed. Within this contribution, a method for quantifying this discretization error and adapting the number of finite elements accordingly is incorporated into the recently proposed framework and applied on the case study of a continuous tank reactor. The obtained results with and without discretization error control are compared and, based thereon, a more suitable way to apply the control variables on the process is proposed.
Record ID
Keywords
Grid refinement, Integration of design and operation, Nonlinear programming, Process design
Subject
Suggested Citation
Hoffmann C, Esche E, Repke JU. Integration of Design and Operation with Discretization Error Control. Systems and Control Transactions 3:153-159 (2024) https://doi.org/10.69997/sct.141459
Author Affiliations
Hoffmann C: Technische Universität Berlin, Process Dynamics and Operations Group, Berlin, Germany
Esche E: Technische Universität Berlin, Process Dynamics and Operations Group, Berlin, Germany
Repke JU: Technische Universität Berlin, Process Dynamics and Operations Group, Berlin, Germany
Esche E: Technische Universität Berlin, Process Dynamics and Operations Group, Berlin, Germany
Repke JU: Technische Universität Berlin, Process Dynamics and Operations Group, Berlin, Germany
Journal Name
Systems and Control Transactions
Volume
3
First Page
153
Last Page
159
Year
2024
Publication Date
2024-07-10
Version Comments
DOI Assigned
Other Meta
PII: 0153-0159-676053-SCT-3-2024, Publication Type: Journal Article
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Published Article

LAPSE:2024.1521
This Record
External Link

https://doi.org/10.69997/sct.141459
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