Identification of diffusive interfaces using a simplified fractional integrator. Part 1 : linear case

This paper presents a new approach to model heat transfer problems and more particularly diffusive interfaces. These interfaces can be modeled with fractional models, based on the use of a fractional integration operator. Succinctly, the approach presented in this paper consists in identification of...

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Bibliographic Details
Main Authors: Benchellal, A., Benoit-Marand, F., Signac, L., Poinot, T., Trigeassou, J.-C.
Format: Conference Proceeding
Language:English
Subjects:
Bars
Frequency domain analysis
Frequency estimation
Heat transfer
Induction machines
Numerical simulation
Physics
Solid modeling
Temperature
Uniform resource locators
Online Access:Request full text
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Summary:This paper presents a new approach to model heat transfer problems and more particularly diffusive interfaces. These interfaces can be modeled with fractional models, based on the use of a fractional integration operator. Succinctly, the approach presented in this paper consists in identification of the behavior of diffusive interfaces starting' from frequency considerations derived from the analysis of a diffusion problem. Using a simplified linear fractional model, this identification is carried out by the output-error technique. A numerical simulation is presented in this paper in order to illustrate the improvements of the proposed fractional integrator in the linear case
ISSN:1553-572X
DOI:10.1109/IECON.2006.348090