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A real time capable PDE model for an industrial heating process

  • This paper presents a modeling approach of an industrial heating process where a stripe-shaped workpiece is heated up to a specific temperature by applying hot air through a nozzle. The workpiece is moving through the heating zone and is considered to be of infinite length. The speed of the substrate is varying over time. The derived model is supposed to be computationally cheap to enable its use in a model-based control setting. We start by formulating the governing PDE and the corresponding boundary conditions. The PDE is then discretized on a spatial grid using finite differences and two different integration schemes, explicit and implicit, are derived. The two models are evaluated in terms of computational effort and accuracy. It turns out that the implicit approach is favorable for the regarded process. We optimize the grid of the model to achieve a low number of grid nodes while maintaining a sufficient amount of accuracy. Finally, the thermodynamical parameters are optimized in order to fit the model's output to real-world data that was obtained by experiments.

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Author:Ruven Weiß, Moritz DiehlORCiD, Johannes ReuterORCiD
Parent Title (English):10th Vienna International Conference on Mathematical Modelling MATHMOD 2022, July 27-29, Vienna, Austria, (IFAC-PapersOnLine, Volume 55, Issue 20)
Place of publication:New York, NY
Document Type:Conference Proceeding
Year of Publication:2022
Release Date:2023/01/10
Tag:PDE Systems; Fluidics and Thermodynamics; Control and Real-Time Applications
First Page:79
Last Page:84
Institutes:Institut für Systemdynamik - ISD
Open Access?:Ja
Relevance:Keine peer reviewed Publikation (Wissenschaftlicher Artikel und Aufsatz, Proceeding, Artikel in Tagungsband)
Licence (German):License LogoCreative Commons - CC BY-NC-ND - Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International