LAPSE:2025.0285
Published Article

LAPSE:2025.0285
An MIQCP Reformulation for the Optimal Synthesis of Thermally Coupled Distillation Networks
June 27, 2025
Abstract
Superstructure based approaches have long been employed for optimal process synthesis problems. Due to the difficulties of using rigorous process models and simultaneous solutions, shortcut calculations have been the preferred means of modeling unit operations within larger process network problems. However, even with the use of shortcut equations to model the behaviour of unit operations, the resulting mixed-integer programs can be challenging to solve. Furthermore, generating the problem superstructure has often been done manually, presenting issues for scaling to larger problems. We demonstrate the use of an algorithmic approach to generate network superstructures for synthesis problems coupled with equation reformulations to yield an MIQCP (Mixed-Integer Quadratically Constrained Program) for networks of thermally coupled distillation columns. The combination of rapid problem generation with the ability to leverage recent advances in the performance of QCP (Quadratically Constrained Program) solvers enables efficient and scalable solutions for these process synthesis applications.
Superstructure based approaches have long been employed for optimal process synthesis problems. Due to the difficulties of using rigorous process models and simultaneous solutions, shortcut calculations have been the preferred means of modeling unit operations within larger process network problems. However, even with the use of shortcut equations to model the behaviour of unit operations, the resulting mixed-integer programs can be challenging to solve. Furthermore, generating the problem superstructure has often been done manually, presenting issues for scaling to larger problems. We demonstrate the use of an algorithmic approach to generate network superstructures for synthesis problems coupled with equation reformulations to yield an MIQCP (Mixed-Integer Quadratically Constrained Program) for networks of thermally coupled distillation columns. The combination of rapid problem generation with the ability to leverage recent advances in the performance of QCP (Quadratically Constrained Program) solvers enables efficient and scalable solutions for these process synthesis applications.
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Pfau K, Bhatia A, Laird CD, Ostace G, Kotamreddy G. An MIQCP Reformulation for the Optimal Synthesis of Thermally Coupled Distillation Networks. Systems and Control Transactions 4:831-836 (2025) https://doi.org/10.69997/sct.177840
Author Affiliations
Pfau K: Carnegie Mellon University, Department of Chemical Engineering, Pittsburgh, PA, USA
Bhatia A: Carnegie Mellon University, Department of Chemical Engineering, Pittsburgh, PA, USA
Laird CD: Carnegie Mellon University, Department of Chemical Engineering, Pittsburgh, PA, USA
Ostace G: Braskem, 550 Technology Dr., Pittsburgh PA, USA
Kotamreddy G: Braskem, 550 Technology Dr., Pittsburgh PA, USA
Bhatia A: Carnegie Mellon University, Department of Chemical Engineering, Pittsburgh, PA, USA
Laird CD: Carnegie Mellon University, Department of Chemical Engineering, Pittsburgh, PA, USA
Ostace G: Braskem, 550 Technology Dr., Pittsburgh PA, USA
Kotamreddy G: Braskem, 550 Technology Dr., Pittsburgh PA, USA
Journal Name
Systems and Control Transactions
Volume
4
First Page
831
Last Page
836
Year
2025
Publication Date
2025-07-01
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Original Submission
Other Meta
PII: 0831-0836-1402-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0285
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References Cited
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