- Autor(i):
- R. Paulen – M. Jelemenský – M. Fikar – Z. Kovacs
- Názov:
- Optimal balancing of temporal and buffer costs for ultrafiltration/diafiltration processes under limiting flux conditions
- Časopis:
- Journal of Membrane Science
- Rok:
- 2013
- Zväzok:
- 444
- Strany:
- 87–95
- Jazyk:
- angličtina
- Anotácia:
- This paper studies the problem of economically oriented optimal operation of an ultrafiltration/diafiltration process that is designed to reduce the initial volume of a given process liquor and to eliminate impurities from the product solution in a batch setup. This theoretical investigation focuses on applications where the permeate flux is given by the well-known limiting flux model and the rejections of micro-solute and macro-solute are assumed to be zero and one, respectively. Unlike previous approaches to the problem, we consider a complex economical objective that accounts for the total operational costs involving both the cost of consumed diluant and processing time-related costs. The optimization problem is formulated as a multi-objective optimal control problem and it is solved using the analytical approach that exploits Pontryagin's minimum principle. We prove that economically optimal control strategy is to perform a constant-volume diafiltration step at a given, optimal macro-solute concentration. This constant-volume diafiltration step is preceded and followed by ultrafiltration or pure dilution steps that force the concentrations at first to arrive to the optimal macro-solute concentration and at last to arrive to the desired final concentrations. By taking into account the unit prices of both processing time and utilized diluant, we provide a practical algebraic formula that allows decision makers to evaluate the optimal starting point of the constant-volume diafiltration step and to adapt it when considered prices change. Finally, we demonstrate the applicability and achievable benefit of the here presented approach on an industrial-scale case study using literature data.
- ISSN:
- 0376-7388
- DOI:
- 10.1016/j.memsci.2013.05.009
- Kategória publikácie:
- ADC – Vedecké práce v zahraničných karentovaných časopisoch
- Oddelenie:
- OIaRP
- Vložil/Upravil:
- doc. Ing. Radoslav Paulen, PhD.
- Posledná úprava:
- 25.11.2019 09:40:42
- Plný text:
- Plný text nie je prístupný verejnosti, ale môžete požiadať o kópiu niektorého z autorov
- BibTeX:
- @article{uiam1399,
author = {R. Paulen and M. Jelemensk\'y and M. Fikar and Z. Kovacs}, title = {Optimal balancing of temporal and buffer costs for ultrafiltration/diafiltration processes under limiting flux conditions}, journal = {Journal of Membrane Science}, year = {2013}, volume = {444}, pages = {87-95}, annote = {This paper studies the problem of economically oriented optimal operation of an ultrafiltration/diafiltration process that is designed to reduce the initial volume of a given process liquor and to eliminate impurities from the product solution in a batch setup. This theoretical investigation focuses on applications where the permeate flux is given by the well-known limiting flux model and the rejections of micro-solute and macro-solute are assumed to be zero and one, respectively. Unlike previous approaches to the problem, we consider a complex economical objective that accounts for the total operational costs involving both the cost of consumed diluant and processing time-related costs. The optimization problem is formulated as a multi-objective optimal control problem and it is solved using the analytical approach that exploits Pontryagin's minimum principle. We prove that economically optimal control strategy is to perform a constant-volume diafiltration step at a given, optimal macro-solute concentration. This constant-volume diafiltration step is preceded and followed by ultrafiltration or pure dilution steps that force the concentrations at first to arrive to the optimal macro-solute concentration and at last to arrive to the desired final concentrations. By taking into account the unit prices of both processing time and utilized diluant, we provide a practical algebraic formula that allows decision makers to evaluate the optimal starting point of the constant-volume diafiltration step and to adapt it when considered prices change. Finally, we demonstrate the applicability and achievable benefit of the here presented approach on an industrial-scale case study using literature data.}, doi = {10.1016/j.memsci.2013.05.009}, url = {https://www.uiam.sk/assets/publication_info.php?id_pub=1399}