Nonsmooth differential-algebraic equations in chemical engineering
Name
2c9660166ea5b2bc5ff935f00331eda79a23.pdf
Description
Accepted version
Size
265.77 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Stechlinski, Peter
Patrascu, Michael
Barton, Paul I
Date Issued
June 2018
Journal
Computers & Chemical Engineering
Publisher
Elsevier BV
Citation
Stechlinski, Peter et al. "Nonsmooth differential-algebraic equations in chemical engineering." Computers & Chemical Engineering 114 (June 2018): 52-68 © 2017 Elsevier Ltd.
Version
Author's final manuscript
Abstract
This article advocates a nonsmooth differential-algebraic equations (DAEs) modeling paradigm for dynamic simulation and optimization of process operations. A variety of systems encountered in chemical engineering are traditionally viewed as exhibiting hybrid continuous and discrete behavior. In many cases such discrete behavior is nonsmooth (i.e. continuous but nondifferentiable) rather than discontinuous, and is appropriately modeled by nonsmooth DAEs. A computationally relevant theory of nonsmooth DAEs (i.e. well-posedness and sensitivity analysis) has recently been established (Stechlinski and Barton, 2016a, 2017) which is suitable for numerical implementations that scale efficiently for large-scale dynamic optimization problems. Challenges posed by competing hybrid modeling approaches for process operations (e.g. hybrid automata) are highlighted as motivation for the nonsmooth DAEs approach. Several examples of process operations modeled as nonsmooth DAEs are given to illustrate their wide applicability before presenting the appropriate mathematical theory.
Subjects
General Chemical Engineering
Computer Science Applications
MIT Department
Massachusetts Institute of Technology. Process Systems Engineering Laboratory
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.compchemeng.2017.10.031
