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Article Dans Une Revue Journal of Process Control Année : 2022

New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles

Résumé

In this paper, we express the Chord Length Distribution (CLD) measure associated to a given Particle Size Distribution (PSD) when particles are modeled as suspended spheroids in a reactor. Using this approach, we propose two methods to reconstruct the unknown PSD from its CLD. In the single-shape case where all spheroids have the same shape, a Tikhonov regularization procedure is implemented. In the multi-shape case, the measured CLD mixes the contribution of the PSD associated to each shape. Then, an evolution model for a batch crystallization process allows to introduce a Back and Forth Nudging (BFN) algorithm, based on dynamical observers. We prove the convergence of this method when crystals are split into two clusters: spheres and elongated spheroids. These methods are illustrated with numerical simulations.
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Dates et versions

hal-03053999 , version 1 (11-12-2020)

Identifiants

Citer

Lucas Brivadis, Ludovic Sacchelli. New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles. Journal of Process Control, 2022, 109, pp.1-12. ⟨10.1016/j.jprocont.2021.11.008⟩. ⟨hal-03053999⟩
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