A control-oriented thermal model for a moving dual-layer substrate
- This paper describes an early lumping approach for generating a mathematical model of the heating process of a moving dual-layer substrate. The heat is supplied by convection and nonlinearly distributed over the whole considered spatial extend of the substrate. Using CFD simulations as a reference, two different modelling approaches have been investigated in order to achieve the most suitable model type. It is shown that due to the possibility of using the transition matrix for time discretization, an equivalent circuit model achieves superior results when compared to the Crank-Nicolson method. In order to maintain a constant sampling time for the in-visioned-control strategies, the effect of variable speed is transformed into a system description, where the state vector has constant length but a variable number of non-zero entries. The handling of the variable transport speed during the heating process is considered as the main contribution of this work. The result is a model, suitable for being used in future control strategies.
Author: | Ruven Weiss, Ludwig Albrecht, Johannes ReuterORCiD, Olivier GehanORCiD |
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DOI: | https://doi.org/10.1016/j.ifacol.2018.03.056 |
ISSN: | 2405-8963 |
Parent Title (English): | 9th Vienna International Conference on Mathematical Modelling (Mathmod 2018), 21-23 February 2018, Vienna, Austria - (IFAC-PapersOnLine Vol. 51, Iss. 2) |
Document Type: | Conference Proceeding |
Language: | English |
Year of Publication: | 2018 |
Release Date: | 2019/01/15 |
First Page: | 325 |
Last Page: | 330 |
Note: | Volltextzugriff für Angehörige der Hochschule Konstanz möglich |
Institutes: | Institut für Systemdynamik - ISD |
Open Access?: | Nein |
Licence (German): | ![]() |