Parameter Estimation of Hyperbolic Model of Counterflow Heat Exchanger.
(2023) IFAC World Congress — Location: Yokohama (9.July.2023)
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- Authors
Dochain, Denis 
- Abstract
- The aim of this paper is to estimate the parameters of a counterflow heat exchanger in the case where the dynamics are described by a system of two hyperbolic partial differential equations (PDEs). This study is performed using data collected on a laboratory test bench. First we study the practical identifiability of the system, the objective of which is to verify the possibility of determining the parameters of the system in a unique way from the available data. Next the parameter estimation is performed by a nonlinear optimization method, typically by the Levenberg-Marquardt algorithm on a set of ordinary differential equations obtained from the reduction of the original PDEs by the method of lines. Since the Levenberg-Marquardt algorithm may only converge with a reasonable estimate of the parameters, we first consider a least squares parameter estimation approach based on the global difference model. Finally, the results of this identification are validated by using laboratory data, and by verifying some statistical properties.
- Affiliations
Citations
Jacques Kadima, & Dochain, D. (2023). Parameter Estimation of Hyperbolic Model of Counterflow Heat Exchanger. Published. IFAC World Congress, Yokohama. https://hdl.handle.net/2078.5/218086