TY  - CHAP
U1  - Konferenzveröffentlichung
A1  - Weiß, Ruven
A1  - Diehl, Moritz
A1  - Reuter, Johannes
T1  - A real time capable PDE model for an industrial heating process
T2  - 10th Vienna International Conference on Mathematical Modelling MATHMOD 2022, July 27-29, Vienna, Austria, (IFAC-PapersOnLine, Volume 55, Issue 20)
N2  - 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.
KW  - PDE Systems
KW  - Fluidics and Thermodynamics
KW  - Control and Real-Time Applications
Y1  - 2022
U6  - https://doi.org/10.1016/j.ifacol.2022.09.075
DO  - https://doi.org/10.1016/j.ifacol.2022.09.075
VL  - 55
IS  - 20
SP  - 79
EP  - 84
PB  - Elsevier
CY  - New York, NY
ER  -