Economically optimal control of batch diafiltration processes

An economically optimal operation of batch diafiltration processes is studied. The processes are characterized by complex membrane transport models that adequately describe non-ideal membrane characteristics of real-life systems. We consider the optimization criterion which comprises two conflicting objectives, a minimization of processing time and a minimization of solvent consumption. The problem is treated in the multi-objective form in order to investigate the impact of operational cost factors on optimal operation policy. Thanks to the application of Pontryagin's minimum principle (PMP), we find the economically optimal operation of studied process in the analytical form. Developed methodology is applied to two case studies taken from literature.

[1]  Zoltán Kovács,et al.  Optimal feeding strategy of diafiltration buffer in batch membrane processes , 2012 .

[2]  C. Johnson,et al.  Singular Solutions in Problems of Optimal Control , 1965 .

[3]  Frank Lipnizki,et al.  Concepts of industrial-scale diafiltration systems☆ , 2002 .

[4]  Michel Y. Jaffrin,et al.  Optimization of ultrafiltration and diafiltration processes for albumin production , 1994 .

[5]  Reza Roostaazad,et al.  Full scale analysis of apple juice ultrafiltration and optimization of diafiltration , 2005 .

[6]  L. S. Pontryagin,et al.  Mathematical Theory of Optimal Processes , 1962 .

[7]  Urszula Ledzewicz,et al.  Optimal controlled trajectories for a mathematical model of anti-angiogenic therapy in cancer , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[8]  M. L. Chambers.  The Mathematical Theory of Optimal Processes , 1965 .

[9]  M. Fikar,et al.  Optimal balancing of temporal and buffer costs for ultrafiltration/diafiltration processes under limiting flux conditions , 2013 .

[10]  Zoltán Kovács,et al.  Process optimization of diafiltration with time-dependent water adding for albumin production , 2011 .

[11]  Dominique Bonvin,et al.  Dynamic optimization of batch processes: I. Characterization of the nominal solution , 2003, Comput. Chem. Eng..

[12]  Gautam Mitra,et al.  Optimization of Solute Separation by Diafiltration , 1976 .

[13]  Zoltán Kovács,et al.  Multi-objective optimal control of ultrafiltration/diafiltration processes , 2013, 2013 European Control Conference (ECC).