Model identification and reduction for the control of an ice cream crystallization process

Céline Casenave, Denis Dochain, Graciela Alvarez, Marcela Arellano-Salazar, Hayat Benkhelifa, Denis Leducq

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)
304 Downloads (Pure)

Abstract

Ice cream crystallization processes can be modeled by some population and energy balance equations. Due to the infinite dimensional and nonlinear characteristics, such models are highly complex, especially when all the phenomena of nucleation, growth and breakage are considered. Depending on the control problem under consideration, such a complexity can be useless and the control law can be designed on the basis of an input–output reduced order model of the process. In the present paper, we first consider a reduced order model of 6 ordinary differential equations obtained by the method of moments. By means of a sensitivity analysis and a parameter identification, it is shown that, to accurately describe the input–output behavior of the system whatever the conditions are, it is sufficient to change the values of only two parameters of this model, which is really interesting from a control point of view. However, when looking at the simulated data, the complexity of this moments model appears useless, from the input–output point of view. A second model reduction is therefore performed, based on physical assumptions. We finally get a new model with 3 ordinary differential equations, which is validated first on experimental data and then by comparison with the initial moments model.
Original languageEnglish
Pages (from-to)274-287
JournalChemical Engineering Science
Volume119
Early online date26 Aug 2014
DOIs
Publication statusPublished - 1 Nov 2014

Keywords

  • Ice cream crystallization
  • Particulate processes
  • Population balance equation
  • Model identification
  • Model reduction
  • Process control

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