Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T04:57:27.905Z Has data issue: false hasContentIssue false
  • English
  • Français

Optimization of the current density distribution in electrochemical cells based on the level set method and genetic algorithm

Published online by Cambridge University Press:  28 September 2011

M. Purcar ,
V. Topa ,
C. Munteanu ,
A. Avram ,
L. Grindei  and
R. Chereches
M. Purcar*
Affiliation:
Technical University of Cluj-Napoca, Department of Electrical Engineering, G. Baritiu Street 26-28, 400020 Cluj-Napoca, Romania
V. Topa
Affiliation:
Technical University of Cluj-Napoca, Department of Electrical Engineering, G. Baritiu Street 26-28, 400020 Cluj-Napoca, Romania
C. Munteanu
Affiliation:
Technical University of Cluj-Napoca, Department of Electrical Engineering, G. Baritiu Street 26-28, 400020 Cluj-Napoca, Romania
A. Avram
Affiliation:
Technical University of Cluj-Napoca, Department of Electrical Engineering, G. Baritiu Street 26-28, 400020 Cluj-Napoca, Romania
L. Grindei
Affiliation:
Technical University of Cluj-Napoca, Department of Electrical Engineering, G. Baritiu Street 26-28, 400020 Cluj-Napoca, Romania
R. Chereches
Affiliation:
Technical University of Cluj-Napoca, Department of Electrical Engineering, G. Baritiu Street 26-28, 400020 Cluj-Napoca, Romania
*
ae-mail: [email protected]
Get access

Abstract

This paper proposes a general applicable algorithm for the optimization of the current density distribution in the electrochemical cells using the insulating shields during the electroplating process. The innovative aspect is that the position of the insulating shield is displaced over a number of predefined time steps convecting its surface proportional with and in the direction of a well chosen rate provided by a genetic algorithm. The aim of this method is to develop a systematic modification of the insulating shield position in order to get a more uniform distribution of the current density, hence a more uniform deposited layer at the cathode. As the displacement of the insulating shield is performed with the Level Set Method, the re-meshing of the computational domain with finite elements is not required anymore. Finally an example related to the optimization of the current density distribution in the vicinity of a singularity (incident angle between the electrode and insulator = 180°), using an insulating shield, will be presented.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 56 , Issue 1: Topical Issue: 5th Colloquium Interdisciplinary in Instrumentation (C2I) 2010 , October 2011 , 11302
Copyright
© EDP Sciences, 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Newman, J., Electrochemical Systems, 2nd edn. (Prentice-Hall, Englewood, NJ, 1991)Google Scholar
Alkire, R., Bergh, T., Sani, T.L., J. Electrochem. Soc. 125, 1981 (1978)CrossRef
Deconinck, J., Lecture Notes in Engineering, vol. 75 (Springer-Verlag, Berlin, 1992)Google Scholar
Deconinck, J., J. Appl. Elec. 24, 212 (1994)
Bozzini, B., Cavallotti, P.L., Int. J. Mater. Prod. Tec. 15, 34 (2000)CrossRef
Georgiadou, M., Veyret, D., Sani, R.L., Alkire, R.C., J. Electrochem. Soc. 148, C48 (2001)CrossRef
Georgiadou, M., Veyret, D., J. Electrochem. Soc. 149, C324 (2002)CrossRef
Qiu, Z.H., Power, H., J. Appl. Electrochem. 30, 575 (2000)CrossRef
Fletcher, R., Practical Methods of Optimisation, 2nd edn. (John Wiley, Chichester, 1991)Google Scholar
Haslinger, J., Makinen, A.E., Advances in Design and Control, vol. 7 (SIAM, Philadelphia, 2003)Google Scholar
Topa, V. et al., Proc. JSAEM 8, 158 (1998)
Munteanu, C. et al., Proc. JSAEM 8, 177 (1998)
Purcar, M. et al., EPJAP 39, 85 (2007)
Sethian, J.A., Fluid Mechanics, Computer Vision, and Material Science (Cambridge University Press, Cambridge, 1999)Google Scholar
Sethian, J.A., Wiegmann, A., J. Comput. Phys. 163, 489 (2000)CrossRef
Osher, S.J., Santosay, F., J. Comput. Phys. 171, 272 (2001)CrossRef
Osher, S.J., Santosay, F., Applied Mathematical Science (Springer-Verlag Inc., New York, 2003)Google Scholar
Rudin, L., Osher, S.J., Fatemi, E., Physica D 60, 259 (1992)CrossRef
Allaire, G., Jouve, F., Toader, A.-M., J. Comput. Phys. 194, 363 (2004)CrossRef
Luo, Z., Shengyin, W., Peng, W., Int. J. Numer. Meth. Eng. 76, 1 (2008)CrossRef
Purcar, M. et al., COMPEL 23, 1062 (2004)CrossRef
Grefenstette, J.J., Proc. Parallel Problem Solving from Nature 2, 137 (1992)
Goldberg, D.E., Genetic Algorithms in Search Optimisation and Machine Learning (Addison-Wesley Publishing Company, Massachusetts, 1989)Google Scholar
Purcar, M., Ph.D. thesis, Vrije Universiteit Brussel, 2005
Fagan, M.J., Finite Element Analysis Theory and Practice (Longman Scientific and Technical, Essex, 1992)Google Scholar
Dorochenko, A., Athanasiadis, A., Bortels, L., Deconinck, H., Integration of grid generation and electrochemical engineering simulation software in a CAD environment, in EUA4X 2005, Annual Conference at TCN CAE 05, Lecce, Italy, 2005
Hirch, C., Numerical Computation of Internal and External Flows (Willey, Chichester, 1992)Google Scholar