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Anishchenko V. S., Ebeling W., Hass E., Plath P., Shimansky-Geier L., Strelkova G. I. Modeling battery systems – problems of nonlinearity, efficiency, aging, coupling, and network setup. Izvestiya of Saratov University. Physics , 2022, vol. 22, iss. 4, pp. 288-309. DOI: 10.18500/1817-3020-2022-22-4-288-309, EDN: GLCHRL

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Modeling battery systems – problems of nonlinearity, efficiency, aging, coupling, and network setup

Anishchenko Vadim Semenovich, Saratov State University
Ebeling Werner, Humboldt University of Berlin
Hass Ernst-Christoph, University of Bremen
Plath Peter, Fritz-Haber-Institut der Max-Planck-Gesellschaft
Shimansky-Geier Lutz, Humboldt University of Berlin
Strelkova Galina Ivanovna, Saratov State University

We discuss several problems of batteries and fuel cells from the point of view of nonlinear dynamics and review some earlier work on modeling this class of systems as well as new developments. We consider batteries and fuel cells as active nonlinear electrochemical circuits with properties depending on many factors as load, age, load history etc. We show that most satisfactory battery regimes are reached by coupling of an odd number of circuits in opposite phases. Specific points of discussion are types of dynamic regimes and the efficiency of the conversion of chemical into electrical energy in dependence on the work load, the life cycles of batteries, including installation, work under load, aging and decay. Further we discuss specific properties of managing battery networks, in particular the cycle of replacing of old batteries by fresh ones including the optimization of this cycle. The last part of this work is merely a list of open tasks to be elaborated.

The authors thank U. Erdmann, R. Feistel, B. Lindner, P. Romanczuk and F. Schweitzer for basic common work about active dynamical systems and E. Hildebrandt as well as I. Sokolov for discussions about fractional dynamical models and references.
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