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Negative differential resistance and steady state multiplicity in solid oxide fuel cells. J Electroanal Chem (Lausanne) 2018. [DOI: 10.1016/j.jelechem.2018.01.030] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Sands JD, Needham DJ, Uddin J. A fundamental model exhibiting nonlinear oscillatory dynamics in solid oxide fuel cells. Proc Math Phys Eng Sci 2014. [DOI: 10.1098/rspa.2013.0551] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
In this paper, we address the phenomenon of temporal, self-sustained oscillations which have been observed under quite general conditions in solid oxide fuel cells. Our objective is to uncover the fundamental mechanisms giving rise to the observed oscillations. To this end, we develop a model based on the fundamental chemical kinetics and transfer processes which take place within the fuel cell. This leads to a three-dimensional dynamical system, which, under typical operating conditions, is rationally reducible to a planar dynamical system. The structural dynamics of the planar dynamical system are studied in detail. Self-sustained oscillations are shown to arise through Hopf bifurcations in this planar dynamical system, and the key parameter ranges for the occurrence of such oscillations are identified.
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Affiliation(s)
- J. D. Sands
- School of Chemical Engineering, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
- School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
| | - D. J. Needham
- School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
| | - J. Uddin
- School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
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3
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Soroush M, Chmielewski DJ. Process systems opportunities in power generation, storage and distribution. Comput Chem Eng 2013. [DOI: 10.1016/j.compchemeng.2012.06.027] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Vijay P, Hosseini S, Tadé MO. A novel concept for improved thermal management of the planar SOFC. Chem Eng Res Des 2013. [DOI: 10.1016/j.cherd.2012.09.004] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Bavarian M, Kevrekidis IG, Benziger JB, Soroush M. Modeling and Bifurcation Analysis of a Coionic Conducting Solid Oxide Fuel Cell. Ind Eng Chem Res 2012. [DOI: 10.1021/ie3009814] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Mona Bavarian
- Department of Chemical and Biological
Engineering, Drexel University, Philadelphia,
Pennsylvania 19104
| | - Ioannis G. Kevrekidis
- Department
of Chemical and Biological
Engineering, Princeton University, Princeton,
New Jersey 08544
| | - Jay B. Benziger
- Department
of Chemical and Biological
Engineering, Princeton University, Princeton,
New Jersey 08544
| | - Masoud Soroush
- Department of Chemical and Biological
Engineering, Drexel University, Philadelphia,
Pennsylvania 19104
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Danilov VA, Vijay P, Tade MO. Improved Tank in Series Reactor Model for Tubular Solid Oxide Fuel Cell Stacks. Chem Eng Technol 2011. [DOI: 10.1002/ceat.201000444] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Hanke-Rauschenbach R, Mangold M, Sundmacher K. Nonlinear dynamics of fuel cells: a review. REV CHEM ENG 2011. [DOI: 10.1515/revce.2011.001] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Sundmacher K. Fuel Cell Engineering: Toward the Design of Efficient Electrochemical Power Plants. Ind Eng Chem Res 2010. [DOI: 10.1021/ie100902t] [Citation(s) in RCA: 75] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Affiliation(s)
- Kai Sundmacher
- Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106 Magdeburg, Germany, and Otto-von-Guericke University Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany
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Bavarian M, Soroush M, Kevrekidis IG, Benziger JB. Mathematical Modeling, Steady-State and Dynamic Behavior, and Control of Fuel Cells: A Review. Ind Eng Chem Res 2010. [DOI: 10.1021/ie100032c] [Citation(s) in RCA: 73] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Benziger J. Fan the flame with water: Current ignition, front propagation and multiple steady states in polymer electrolyte membrane fuel cells. AIChE J 2009. [DOI: 10.1002/aic.12117] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Krasnyk M, Ginkel M, Mangold M, Kienle A. Numerical analysis of higher order singularities in chemical process models. Comput Chem Eng 2007. [DOI: 10.1016/j.compchemeng.2006.09.010] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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