Abstract
The overall performance of a fuel cell or an electrochemical reactor depends greatly on properties of catalyst layers, where electrochemical reactions take place. Optimization of these structures in the past was mainly guided by experimental methods. For substantial progress in this field, combination of experiments with modeling is highly desirable. In this chapter focus is on macroscale models, since at the moment they provide more straightforward relationship to experimentally measurable quantities. After introducing the physical structure of a catalyst layer, we discuss typical macroscale modeling approaches such as interface, porous, and agglomerate models. We show how governing equations for the state fields, like potential or concentration can be derived and which typical simplifications can be made. For derivations, a porous electrode model has been chosen as a reference case. We prove that the interface model is a simplification of a porous model, where all gradients can be neglected. Furthermore, we demonstrate that the agglomerate model is an extension of the porous model, where in addition to macroscale, additional length scale is considered. Finally some selected examples regarding different macroscale models have been shown. Interface model has low capability to describe the structure of the catalyst layer, but it can be utilized to resolve complex reaction mechanisms, providing reaction kinetic parameters for distributed models. It was shown that the agglomerate models, having more structural parameters of the catalyst layer, are more suitable for catalyst layer optimization than the porous models.
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Abbreviations
- BET:
-
Brunauer–Emmett–Teller
- CL:
-
comprising catalyst
- EIS:
-
electrochemical impedance spectroscopy
- FT:
-
Frumkin/Temkin
- GDE:
-
gas diffusion electrode
- GDL:
-
gas diffusion layer
- NFRA:
-
nonlinear frequency response analysis
- PEM:
-
polymer electrolyte membrane
- PFSA:
-
perfluorosulfonic acid
- SEM:
-
scanning electron microscopy
References
I. Moussallem, J. Jörissen, U. Kunz, S. Pinnow, T. Turek: Chlor-alkali electrolysis with oxygen depolarized cathodes: History, present status and future prospects, J. Appl. Electrochem. 38, 1177–1194 (2008)
W.K. Epting, J. Gelb, S. Litster: Resolving the three-dimensional microstructure of polymer electrolyte fuel cell electrodes using nanometer-scale x-ray computed tomography, Adv. Functional Mater. 22, 555–560 (2012)
H.-R. Jhong, F.R. Brushett, L. Yin, D.M. Stevenson, P.J.A. Kenis: Combining structural and electrochemical analysis of electrodes using micro-computed tomography and a microfluidic fuel cell, J. Electrochem. Soc. 159, B292–B298 (2012)
H. Markoetter, I. Manke, P. Krueger, T. Arlt, J. Haussmann, M. Klages, H. Riesemeier, C. Hartnig, J. Scholta, J. Banhart: Investigation of 3-D water transport paths in gas diffusion layers by combined in-situ synchrotron x-ray radiography and tomography, Electrochem. Commun. 13, 1001–1004 (2011)
T. Vidaković-Koch, I. Gonzalez Martinez, R. Kuwertz, U. Kunz, T. Turek, K. Sundmacher: Electrochemical membrane reactors for sustainable chlorine recycling, Membranes 2, 510–528 (2012)
M. Eikerling, A.A. Kornyshev, A.R. Kucernak: Water in polymer electrolyte fuel cells: Friend or foe?, Physics Today 59, 38–44 (2006)
X. Yu, J.L. Yuan, B. Sunden: Review on the properties of nano-/microstructures in the catalyst layer of PEMFC, ASME J. Fuel Cell Sci. Technol. 8(3), 034001 (2011)
A.A. Shah, K.H. Luo, T.R. Ralph, F.C. Walsh: Recent trends and developments in polymer electrolyte membrane fuel cell modelling, Electrochimica Acta 56, 3731–3757 (2011)
J. Zhang: PEM Fuel Cell Catalysts and Catalyst Layers – Fundamentals and Applications (Springer, Berlin, Heidelberg 2008)
Y. Wang, X. Feng: Analysis of reaction rates in the cathode electrode of polymer electrolyte fuel cell I. Single-layer electrodes, J. Electrochem. Soc. 155, B1289–B1295 (2008)
H. Wendt, H. Vogt, G. Kreysa, D.M. Kolb, G.E. Engelmann, J.C. Ziegler, H. Goldacker, K. Jüttner, U. Galla, H. Schmieder, E. Steckhan: Ullmann’s Encyclopedia of Industrial Chemistry: Electrochemistry, Vol. 11, 6th edn. (Wiley-VCH, Weinheim 2000) p. 425
P.K. Das, X. Li, Z.S. Liu: A three-dimensional agglomerate model for the cathode catalyst layer of PEM fuel cells, J. Power Sources 179, 186–199 (2008)
N. Khajeh-Hosseini-Dalasm, K. Fushinobu, K. Okazaki: Three-dimensional transient two-phase study of the cathode side of a PEM fuel cell, Int. J. Hydrogen Energy 35, 4234–4246 (2010)
C. Song, J. Zhang: Electrocatalytic oxygen reduction reaction. In: PEM Fuel Cell Electrocatalysts and Catalyst Layers, ed. by J. Zhang (Springer, Berlin, Heidelberg 2008) p. 1119
M. Carmo, A.R. Dos Santos, J.G.R. Poco, M. Linardi: Physical and electrochemical evaluation of commercial carbon black as electrocatalysts supports for DMFC applications, J. Power Sources 173, 860–866 (2007)
D.J. Jones, J. Peron, Y. Nedellec, J. Roziere: The effect of dissolution, migration and precipitation of platinum in Nafion-based membrane electrode assemblies during fuel cell operation at high potential, J. Power Sources 185, 1209–1217 (2008)
W. Bi, G.E. Gray, T.F. Fuller: PEM fuel cell PtC dissolution and deposition in Nafion electrolyte, Electrochem. Solid-State Lett. 10, B101–B104 (2007)
S.-Y. Huang, P. Ganesan, S. Park, B.N. Popov: Development of a titanium dioxide-supported platinum catalyst with ultrahigh stability for polymer electrolyte membrane fuel cell applications, J. Am. Chem. Soc. 131, 13898–13899 (2009)
L. Wang, B.L. Yi, H.M. Zhang, D.M. Xing: Pt/SiO2 as addition to multilayer SPSU/PTFE composite membrane for fuel cells, Polymers Adv. Technol. 19, 1809–1815 (2008)
C. Coutanceau, S. Baranton, T.W. Napporn: Platinum fuel cell nanoparticle syntheses: Effect on morphology, structure and electrocatalytic behavior. In: The Delivery of Nanoparticles, ed. by A. A. Hashim, http://www.intechopen.com/books/the-delivery-of-nanoparticles/platinum-fuel-cell-nanoparticle-synthesises-effect-on-morphology-structure-and-electrocatalytic-beha (InTech, 2012)
K.A. Mauritz, R.B. Moore: State of understanding of Nafion, Chemical Rev. 104, 4535–4586 (2004)
J.T. Hinatsu, M. Mizuhata, H. Takenaka: Water uptake of perfluorosulfonic acid membranes from liquid water and water vapor, J. Electrochem. Soc. 141, 1493–1498 (1994)
D.R. Morris, X. Sun: Water-sorption and transport properties of Nafion, 117 H, J. Appl. Polymer Sci. 50, 1445–1452 (1993)
S. Motupally, A.J. Becker, J.W. Weidner: Diffusion of water in Nafion 115 membranes, J. Electrochem. Soc. 147, 3171–3177 (2000)
T.E. Springer, M.S. Wilson, S. Gottesfeld: Modeling and experimental diagnostics in polymer electrolyte fuel cells, J. Electrochem. Soc. 140, 3513–3526 (1993)
D.M. Bernardi, M.W. Verbrugge: Mathematical model of a gas diffusion electrode bonded to a polymer electrolyte, Aiche J. 37, 1151–1163 (1991)
I. Inchem: Chemical Safety Information from Intergovernmental Organizations (WHO, Geneva 2011), IPCS INCHEM
R.H. Perry, D.W. Green: Perry’s Chemical Engineers’ Handbook, 6th edn. (McGraw-Hill, New York 1984)
M.S. Wilson, S. Gottesfeld: Thin-film catalyst layers for polymer electrolyte fuel cell electrodes, J. Appl. Electrochem. 22, 1–7 (1992)
L. Gubler, G. Scherer: A proton-conducting polymer membrane as solid electrolyte – Function and required properties. In: Advances in Polymer Science, Vol. 215, ed. by G. Scherer (Springer, Berlin, Heidelberg 2008) pp. 1–14
J. Xie, K.L. More, T.A. Zawodzinski, W.H. Smith: Porosimetry of MEAs made by Thin Film Decal method and its effect on performance of PEFCs, J. Electrochem. Soc. 151, A1841–A1846 (2004)
E. Antolini, L. Giorgi, A. Pozio, E. Passalacqua: Influence of Nafion loading in the catalyst layer of gas-diffusion electrodes for PEFC, J. Power Sources 77, 136–142 (1999)
F.A. Howes, S. Whitaker: The spatial averaging theorem revisited, Chem. Eng. Sci. 40, 1387–1392 (1985)
P. De Vidts, R.E. White: Governing equations for transport in porous electrodes, J. Electrochem. Soc. 144, 1343–1353 (1997)
J. Newman, K.E. Thomas-Alyea: Electrochemical Systems, 3rd edn. (Wiley, New York 2004)
R.B. Bird, W.E. Stewart, E.N. Lightfoot: Transport Phenomena (Wiley, Chichester 1960)
R. Krishna, J.A. Wesselingh: The Maxwell-Stefan approach to mass transfer, Chem. Eng. Sci. 52, 861–911 (1997)
H.S. Fogler: Elements of Chemical Reaction Engineering (Prentice Hall, Englewood Cliffs 2005)
O. Levenspiel: Chemical Reaction Engineering, 3rd edn. (Wiley, Chichester 1999)
D. Harvey, J.G. Pharoah, K. Karan: A comparison of different approaches to modelling the PEMFC catalyst layer, J. Power Sources 179, 209–219 (2008)
T. Vidakovic, M. Christov, K. Sundmacher: Rate expression for electrochemical oxidation of methanol on a direct methanol fuel cell anode, J. Electroanal. Chem. 580, 105–121 (2005)
U. Krewer, M. Christov, T. Vidakovic’, K. Sundmacher: Impedance spectroscopic analysis of the electrochemical methanol oxidation kinetics, J. Electroanal. Chem. 589, 148–159 (2006)
T. Vidakovic, M. Christov, K. Sundmacher: Investigation of electrochemical oxidation of methanol in a cyclone flow cell, Electrochimica Acta 49, 2179–2187 (2004)
B. Bensmann, M. Petkovska, T. Vidaković-Koch, R. Hanke-Rauschenbach, K. Sundmacher: Nonlinear frequency response of electrochemical methanol oxidation kinetics: A theoretical analysis, J. Electrochem. Soc. 157, B1279–B1289 (2010)
U. Krewer, T. Vidakovic-Koch, L. Rihko-Struckmann: Electrochemical oxidation of carbon containing fuels and their dynamics in low temperature fuel cells, ChemPhysChem 12, 2518–2544 (2011)
P.S. Kauranen, E. Skou, J. Munk: Kinetics of methanol oxidation on carbon-supported Pt and Pt + Ru catalysts, J. Electroanal. Chem. 404, 1–13 (1996)
T.R. Vidaković-Koch, V.V. Panić, M. Andrić, M. Petkovska, K. Sundmacher: Nonlinear frequency response analysis of the ferrocyanide oxidation kinetics. Part I. A theoretical analysis, J. Phys. Chem. C 115, 17341–17351 (2011)
V.V. Panić, T.R. Vidaković-Koch, M. Andrić, M. Petkovska, K. Sundmacher: Nonlinear frequency response analysis of the ferrocyanide oxidation kinetics. Part II. Measurement routine and experimental validation, J. Phys. Chem. C 115, 17352–17358 (2011)
J.X. Wang, T.E. Springer, R.R. Adzic: Dual-pathway kinetic equation for the hydrogen oxidation reaction on Pt electrodes, J. Electrochem. Soc. 153, A1732–A1740 (2006)
M. Secanell, K. Karan, A. Suleman, N. Djilali: Optimal design of ultralow-platinum PEMFC anode electrodes, J. Electrochem. Soc. 155, B125–B134 (2008)
K. Broka, P. Ekdunge: Oxygen and hydrogen permeation properties and water uptake of Nafion 117 membrane and recast film for PEM fuel cell, J. Appl. Electrochem. 27, 281–289 (1997)
D. Song, Q. Wang, Z. Liu, T. Navessin, M. Eikerling, S. Holdcroft: Numerical optimization study of the catalyst layer of PEM fuel cell cathode, J. Power Sources 126, 104–111 (2004)
S.C. Barton: Oxygen transport in composite mediated biocathodes, Electrochimica Acta 50, 2145–2153 (2005)
D.-S. Chan, D.-J. Dai, H.-S. Wu: Dynamic modeling of anode function in enzyme-based biofuel cells using high mediator concentration, Energies 5, 2524–2544 (2012)
E. Fontes, C. Lagergren, D. Simonsson: Mathematical modelling of the MCFC cathode on the linear polarisation of the NiO cathode, J. Electroanal. Chem. 432, 121–128 (1997)
J. Deseure, Y. Bultel, L. Dessemond, E. Siebert: Theoretical optimisation of a SOFC composite cathode, Electrochimica Acta 50, 2037–2046 (2005)
M.M. Hussain, X. Li, I. Dincer: Mathematical modeling of transport phenomena in porous SOFC anodes, Int. J. Thermal Sci. 46, 48–56 (2007)
M. Eikerling: Water management in cathode catalyst layers of PEM fuel cells: A structure-based model, J. Electrochem. Soc. 153, E58–E70 (2006)
K. Wiezell, P. Gode, G. Lindbergh: Steady-state and EIS investigations of hydrogen electrodes and membranes in polymer electrolyte fuel cells: I. Modeling, J. Electrochem. Soc. 153, A749–A758 (2006)
P. Gode, F. Jaouen, G. Lindbergh, A. Lundblad, G. Sundholm: Influence of the composition on the structure and electrochemical characteristics of the PEFC cathode, Electrochimica Acta 48, 4175–4187 (2003)
M. Sahraoui, C. Kharrat, K. Halouani: Two-dimensional modeling of electrochemical and transport phenomena in the porous structures of a PEMFC, Int. J. of Hydrogen Energy 34, 3091–3103 (2009)
S. Chupin, T. Colinart, S. Didierjean, Y. Dubé, K. Agbossou, G. Maranzana, O. Lottin: Numerical investigation of the impact of gas and cooling flow configurations on current and water distributions in a polymer membrane fuel cell through a pseudo-two-dimensional diphasic model, J. Power Sources 195, 5213–5227 (2010)
M. Secanell, K. Karan, A. Suleman, N. Djilali: Multi-variable optimization of PEMFC cathodes using an agglomerate model, Electrochimica Acta 52, 6318–6337 (2007)
R.M. Rao, D. Bhattacharyya, R. Rengaswamy, S.R. Choudhury: A two-dimensional steady state model including the effect of liquid water for a PEM fuel cell cathode, J. Power Sources 173, 375–393 (2007)
G. Lin, W. He, T. Van Nguyen: Modeling liquid water effects in the gas diffusion and catalyst layers of the cathode of a PEM fuel cell, J. Electrochem. Soc. 151, A1999–A2006 (2004)
W. Sun, B.A. Peppley, K. Karan: An improved two-dimensional agglomerate cathode model to study the influence of catalyst layer structural parameters, Electrochimica Acta 50, 3359–3374 (2005)
F. Jaouen, G. Lindbergh, G. Sundholm: Investigation of mass-transport limitations in the solid polymer fuel cell cathode I. Mathematical model, J. Electrochem. Soc. 149, A437–A447 (2002)
P. Dobson, C. Lei, T. Navessin, M. Secanell: Characterization of the PEM fuel cell catalyst layer microstructure by nonlinear least-squares parameter estimation, J. Electrochem. Soc. 159, B514–B523 (2012)
N.P. Siegel, M.W. Ellis, D.J. Nelson, M.R. von Spakovsky: Single domain PEMFC model based on agglomerate catalyst geometry, J. Power Sources 115, 81–89 (2003)
J. Marquis, M.O. Coppens: Achieving ultra-high platinum utilization via optimization of PEM fuel cell cathode catalyst layer microstructure, Chemical Engineering Science 102, 151–162 (2013)
S. Kamarajugadda, S. Mazumder: Numerical investigation of the effect of cathode catalyst layer structure and composition on polymer electrolyte membrane fuel cell performance, J. Power Sources 183, 629–642 (2008)
T. Vidaković-Koch, V.K. Mittal, T.Q.N. Do, M. Varničić, K. Sundmacher: Application of electrochemical impedance spectroscopy for studying of enzyme kinetics, Electrochimica Acta 110, 94–104 (2013)
D. Gerteisen, A. Hakenjos, J.O. Schumacher: AC impedance modelling study on porous electrodes of proton exchange membrane fuel cells using an agglomerate model, J. Power Sources 173, 346–356 (2007)
Q. Guo, V.A. Sethuraman, R.E. White: Parameter estimates for a PEMFC cathode, J. Electrochem. Soc. 151, A983–A993 (2004)
E.P. Walter, L. Pronzato: Identification of Parametric Models: From Experimental Data (Springer, Berlin, Heidelberg 1997)
D. Song, Q. Wang, Z. Liu, M. Eikerling, Z. Xie, T. Navessin, S. Holdcroft: A method for optimizing distributions of Nafion and Pt in cathode catalyst layers of PEM fuel cells, Electrochimica Acta 50, 3347–3358 (2005)
U.A. Paulus, T.J. Schmidt, H.A. Gasteiger, R.J. Behm: Oxygen reduction on a high-surface area Pt/Vulcan carbon catalyst: A thin-film rotating ring-disk electrode study, J. Electroanal. Chem. 495, 134–145 (2001)
P.K. Das, X. Li, Z.-S. Liu: Analytical approach to polymer electrolyte membrane fuel cell performance and optimization, J. Electroanal. Chem. 604, 72–90 (2007)
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Vidaković-Koch, T., Hanke-Rauschenbach, R., Gonzalez Martínez, I., Sundmacher, K. (2017). Catalyst Layer Modeling. In: Breitkopf, C., Swider-Lyons, K. (eds) Springer Handbook of Electrochemical Energy. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46657-5_9
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