Next Article in Journal
High-Spermidine-Producing Yeast Strain for Autophagy-Promoting Applications
Previous Article in Journal
Analysis and Prediction of Concentration Polarization in a Pilot Reverse Osmosis Plant with Seawater at Different Concentrations Using Python Software
Previous Article in Special Issue
Fermentation Kinetics Beyond Viability: A Fitness-Based Framework for Microbial Modeling
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Modifier Adaptation with Quadratic Approximation with Distributed Estimations of the Modifiers Applied to the MDI-Production Process †

1
Process Dynamics and Operations Group, TU Dortmund, Emil-Figge-Straße 70, 42277 Dortmund, Germany
2
Covestro Deutschland AG, Kaiser-Wilhelm-Allee 60, 51373 Leverkusen, Germany
*
Author to whom correspondence should be addressed.
This paper is an extended version of the ”Ehlhardt, J.; Wolf, I.; Engell, S. Real-time optimization with machine learning models and distributed modifier adaptation applied to the MDI-process.” In Proceedings of the 34th European Symposium on Computer Aided Process Engineering and the 15th International Symposium on Process Systems Engineering (ESCAPE34-PSE24), Florence, Italy, 2–6 June 2024.
Processes 2025, 13(10), 3140; https://doi.org/10.3390/pr13103140
Submission received: 31 August 2025 / Revised: 23 September 2025 / Accepted: 23 September 2025 / Published: 30 September 2025

Abstract

The energy and resource efficient operation of continuously operated large-scale chemical plants is an important factor in the transition towards a sustainable and green process industry. In this work, the operation of the heat exchangers in the diphenylmethane diisocyanate (MDI) process is optimized to reduce fouling and thereby increase their energy efficiency. Real-time optimization (RTO) using Modifier Adaptation With Quadratic Approximation (MAWQA) is applied to cope with plant–model mismatch. It is combined with distributed estimation of the modifiers while retaining a centralized optimization to ensure rapid convergence. It reduces the data points needed for their computation and enables application to large-scale processes. The plant model that is used in the optimization is a surrogate of an available detailed flow-sheet simulator model. The algorithm is demonstrated first for a small problem and then applied to the operator training simulator (OTS) of the MDI process in several operation scenarios. Compared to previous work, the algorithm converges to the optimal operating conditions in fewer iterations.
Keywords: real-time optimization; Modifier Adaptation; Modifier Adaptation with quadratic approximations; isocyanate production; surrogate models; distributed estimation of modifiers real-time optimization; Modifier Adaptation; Modifier Adaptation with quadratic approximations; isocyanate production; surrogate models; distributed estimation of modifiers

Share and Cite

MDPI and ACS Style

Ehlhardt, J.; Wolf, I.; Engell, S. Modifier Adaptation with Quadratic Approximation with Distributed Estimations of the Modifiers Applied to the MDI-Production Process. Processes 2025, 13, 3140. https://doi.org/10.3390/pr13103140

AMA Style

Ehlhardt J, Wolf I, Engell S. Modifier Adaptation with Quadratic Approximation with Distributed Estimations of the Modifiers Applied to the MDI-Production Process. Processes. 2025; 13(10):3140. https://doi.org/10.3390/pr13103140

Chicago/Turabian Style

Ehlhardt, Jens, Inga Wolf, and Sebastian Engell. 2025. "Modifier Adaptation with Quadratic Approximation with Distributed Estimations of the Modifiers Applied to the MDI-Production Process" Processes 13, no. 10: 3140. https://doi.org/10.3390/pr13103140

APA Style

Ehlhardt, J., Wolf, I., & Engell, S. (2025). Modifier Adaptation with Quadratic Approximation with Distributed Estimations of the Modifiers Applied to the MDI-Production Process. Processes, 13(10), 3140. https://doi.org/10.3390/pr13103140

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop