| author | = | {M. Jelemensk\'y}, |
| title | = | {Optimal Control of Membrane Processes in the Presence of Fouling}, |
| school | = | {\'UIAM FCHPT STU v Bratislave}, |
| year | = | {2016}, |
| keyword | = | {Dynamic Optimization, Pontryagin's Minimum Principle, Membrane Separation Processes, Membrane Fouling, Optimal Control}, |
| address | = | {Radlinsk\'eho 9, 812 37 Bratislava}, |
| month | = | {24.08.2016}, |
| annote | = | {This works deals with optimal control of membrane processes. More
concretely, we focus our attention to optimal operation of batch
membrane diafiltration processes in the presence of
fouling. Diafiltration method is used for the separation of two or
more solutes based on the molecular size difference from
a solution. The goal is to increase the concentration of valuable
components and simultaneously decrease the concentration of
impurities. This goal is achieved by determination of the addition of
a solute free solvent (diluant) into the feed tank to reach the final
concentration in minimum time. We use Pontryagin's minimum principle
to solve the time-optimal control problem analytically. By using the
analytical approach we are able to determine the control structure as
a sequence of arcs. In this work two cases are discussed. In the first
we consider that the fouling decreases the membrane area. In this case
we are able to obtain the control structure only but the individual
time durations have to be determined numerically. In the second case
we assume that fouling causes a gradual decrease of the permeate flux.
The optimal control structure is fully analytical with prescribed
control sequences and individual time intervals. We apply the
theoretical results to demonstrate applications to different classes of
fouling models. We also compare the derived time-optimal operation
with traditional used operations to demonstrate the benefits of the
proposed methodology.}, |
| supervisor | = | {prof. Ing. Miroslav Fikar, DrSc.}, |
| url | = | {https://www.uiam.sk/assets/publication_info.php?id_pub=1751} |
}