Fractional modeling applied to non destructive thermal characterization

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• 作者：Jean-Denis Gabano ^{jean.denis.gabano@univ-poitiers.fr" class="auth_mail" title="E-mail the corresponding author} ; Thierry Poinot ^{thierry.poinot@univ-poitiers.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Non-integer modeling ; Fractional systems ; Diffusive interface ; Heat diffusion ; Identification algorithms ; Output-error identification ; Parameter estimation
• 刊名：IFAC-PapersOnLine
• 出版年：2011
• 出版时间：January 2011
• 年：2011
• 卷：44
• 期：1
• 页码：13972-13977
• 全文大小：312 K

文摘

In this paper, we present a simulator of front face thermal characterization experiment, consisting in measuring the temperature at the surface of a thin slab where a random heat flux is applied, in order to validate and compare different fractional identification algorithms. Indeed, heat transfer in homogeneous medium obeys to diffusion phenomenon which can be modeled with the help of fractional systems. We use models based on an original continuous fractional integrator whose order 1/2 acts only over a limited spectral band. These models are obtained thanks to series expansion of the slab thermal impedance which lead to multiple 0.5 derivative order systems. Simulations taking into account the influence of heat losses across each face are performed and show the interest to take them into account so as to obtain accurate heat conductivity and diffusivity estimates.