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Analysis of Forced Periodic Production of Continuous Bioreactors

Eskandari, Mahdi | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44357 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Pishvaie, Mahmoud Reza
  7. Abstract:
  8. Recently experiences in chemical processes approved that periodic operation for some of the processes (e.g. ion exchangers, activated sludge tanks, etc) were being successful. The performance and/or effectiveness of process due to periodic changes in the systems input, such as concentration, feed or coolant temperature and other possibilities, typically express whether in term of yield or selectivity improvement. Though, prominent issue in this type of dynamical control problem is optimal frequency and amplitude in the cycle. Supporting mathematics, include two main approaches: (1) the Hamilton-Jacobi approach based on the maximum principle and (2) a frequency domain approach using second variations methods. Sufficient condition, for the latter, is provided by the so called π criterion. In this thesis, the research object is π sufficient condition employment for the purpose of investigating cyclic operations of continuous bioreactors with optimal performance, subject to dilution rate variations and verification of results. Using this criterion, the region of operating diagram for possible operation improvement, was found. With respect to linear nature of the sufficient condition, it’s accuracy for the nonlinear system via an appropriate optimization approach is investigated and accurate optimal amplitude and frequency for sinusoidal input is calculated. For this purpose the MATLAB package named MATCONT, which has not any optimization features, was extended for the Continuation/Optimization approach. In addition, other possible options have been investigated, such as feed concentration of the limiting substrate and superiority of variations either for each of them or in both inputs. Finally, using differential flatness, feasibility of real time determination of optimal shape of the periodic input, is investigated and a solution for dynamical systems that has no invertible linearizing transformation is explained
  9. Keywords:
  10. Bioreactor ; Periodic Operation ; P Criterion ; Differential Flatness

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