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Thermal modelling of three-way mixing valves using Bézier curves for parameter estimation applications
Citation key Furst.2020
Author Fürst, Yannick and Brandt, Stefan and Kriegel, Martin
Pages 56–62
Year 2020
ISSN 0959-1524
DOI 10.1016/j.jprocont.2020.04.004
Journal Journal of Process Control
Volume 90
Month June
Abstract Each mixing valve is characterized by its kvs-value and the valve characteristics. In mounted condition, the valve characteristics are deformed and the degree of the deformation is determined by the valve authority. Considering already installed mixing valves, neither the valve authority nor the course of the undeformed valve characteristics are exactly known. The lack of information poses a challenge when physically modelling the relationship between the inlet temperatures, the control signal and the outlet temperature. Based on Bézier curves, a universal non-linear grey-box model to describe the thermal valve behaviour is proposed. It is compared with a state space as well as a Hammerstein model and shows the advantages over black-box approaches. The trained model is very robust, able to predict measurement data very accurately and can be used in control design. The parameter estimation is performed using the Open Source platform JModelica.org.
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