Nonlinear dynamics of fuel cells: A review

Reviews in Chemical Engineering

Volumn 27, Issue 1-2, 2011, Pages 23-52

  Hanke Rauschenbach, Richard ^a   Mangold, Michael ^a   Sundmacher, Kai ^a,b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

bistability; fuel cell; negative differential resistance; nonlinear dynamics; oscillations

Indexed keywords

CLASSIFICATION SCHEME; ELECTROCHEMICAL SYSTEMS; FUEL CELL MODEL; HIGH TEMPERATURE FUEL CELLS; LOW TEMPERATURE FUEL CELLS; MEMBRANE PROPERTIES; MULTIPLE STEADY STATE; NEGATIVE DIFFERENTIAL RESISTANCES; NON-LINEAR DYNAMICS; NON-LINEAR PHENOMENA; NON-LINEARITY; NONLINEAR BEHAVIOR; NONLINEAR EFFECT; OSCILLATIONS; PERIODIC OSCILLATION; POTENTIAL SOURCES; THEORETICAL STUDY; WATER FORMATION;

DYNAMICS; ELECTROCHEMISTRY; GAS FUEL PURIFICATION; NEGATIVE RESISTANCE; REACTION KINETICS;

FUEL CELLS;

EID: 80052710803     PISSN: 01678299     EISSN: None     Source Type: Journal    
DOI: 10.1515/REVCE.2011.001     Document Type: Review

References (93)

1. Atkins JR, Savett SC, Creager SE. Large-scale current fluctuations in PEM fuel cells operating with reduced feed stream humidifi cation. J Power Sources 2004; 128: 201-207. (Pubitemid 41325682)
2. Balakotaiah V, Luss D. Structure of the steady-state solutions of lumped-parameter chemically reacting systems. Chem Eng Sci 1982; 37: 1611-1623. (Pubitemid 13478767)
3. Balakotaiah V, Luss D. Global analysis of the multipli city features of multi-reaction lumped-parameter systems. Chem Eng Sci 1984; 39: 865-881. (Pubitemid 14625188)
4. Barsoukov E, Macdonald JR, editors. Impedance spectroscopy, 2nd ed. Hoboken, NJ: Wiley-VCH, 2005.
5. 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; 49: 7922-7950.
6. Benziger J. Reactor dynamics of PEM fuel cells. In: Paddison SJ, Promislow KS, editors. Device and materials modeling in PEM fuel cells. New York, NY: Springer, 2009a: 91-122.
7. Benziger J. Fan the flame with water: Current ignition, front propagation and multiple steady states in polymer electrolyte membrane fuel cells. AICHE J 2009b; 55: 3034-3040.
8. Benziger J, Chia E, Karnas E, Moxley J, Teuscher C, Kevrekidis IG. The stirred tank reactor polymer electrolyte membrane fuel cell. AICHE J 2004; 50: 1889-1900. (Pubitemid 38982128)
9. Benziger J, Chia E, Moxley JF, Kevrekidis IG. The dynamic response of PEM fuel cells to changes in load. Chem Eng Sci 2005; 60: 1743-1759. (Pubitemid 40205576)
10. Benziger J, Chia JE, Kimball E, Kevrekidis IG. Reaction dynamics in a parallel flow channel PEM fuel cell. J Electrochem Soc 2007a; 154: B835-B844. (Pubitemid 47014267)
11. Benziger JB, Chia ES, De Decker Y, Kevrekidis IG. Ignition and front propagation in polymer electrolyte membrane fuel cells. J Phys Chem C 2007b; 111: 2330-2334. (Pubitemid 46346992)
12. Bessler WG, Gerwies S, Willich C, Schiller G, Friedrich KA. Spatial distribution of electro-chemical performance in a segmented SOFC: A combined modeling and experimental study. Fuel Cells 2010; 10: 411.
13. Bion N, Epron F, Moreno M, Mari ñ o F, Duprez D. Preferential oxidation of carbon monoxide in the presence of hydrogen (PROX) over noble metals and transition metal oxides: Advantages and drawbacks. Top Catal 2008; 51: 76.
14. Brett DJL, Atkins S, Brandon NP, Vesovic V, Vasileiadis N, Kucernak AR. Measurement of the current distribution along a single flow channel of a solid polymer fuel cell. Electrochem Commun 2001; 3: 628-632. (Pubitemid 33032312)
15. Büchi FN, Scherer GG. Investigation of the transversal water profile in nafi on membranes in polymer electrolyte fuel cells. J Electrochem Soc 2001 148 A183-A188. (Pubitemid 33724005)
16. Carrette LPL, Friedrich KA, Huber M, Stimming U. Improvement of CO tolerance of proton exchange membrane (PEM) fuel cells by a pulsing technique. Phys Chem Chem Phys 2001; 3: 320.
17. Chia ESJ, Benziger JB, Kevrekidis IG. Water balance and multiplicity in a polymer electrolyte membrane fuel cell. AICHE J 2004; 50: 2320-2324. (Pubitemid 39108788)
18. Chia ESJ, Benziger JB, Kevrekidis LG. STR-PEM fuel cell as a reactor building block. AICHE J 2006; 52: 3902-3910. (Pubitemid 44672157)
19. De Decker Y, Benziger JB, Kimball E, Kevrekidis IG. Multistability, nonlinear response and wave propagation in self-humidifi ed PEM fuel cells. Chem Eng Sci 2010; 65: 2399-2409.
20. Dimitrova P, Friedrich KA, Vogt B, Stimming U. Transport properties of ionomer composite membranes for direct methanol fuel cells. J Electroanal Chem 2002; 532: 75-83.
21. Eikerling M, Kornyshev AA, Kucernak AR. Water in polymer electrolyte fuel cells: Friend or foe ? Phys Today 2006; 59: 38-44. (Pubitemid 44507228)
22. Fabian T, Posner J, O'Hayre R, Cha S, Eaton J, Prinz F, Santiago J. The role of ambient conditions on the performance of a planar, air-breathing hydrogen PEM fuel cell. J Power Sources 2006; 161: 168-182. (Pubitemid 44468324)
23. Farrell CG, Gardner CL, Ternan M. Experimental and modelling studies of CO poisoning in PEM fuel cells. J Power Sources 2007; 171: 282.
24. Feindel KW, Bergens SH, Wasylishen RE. Use of hydrogen-deuterium exchange for contrast in 1H NMR microscopy investigations of an operating PEM fuel cell. J Power Sources 2007; 173: 86-95. (Pubitemid 47498857)
25. Gardner CL, Ternan M. Electrochemical separation of hydrogen from reformate using PEM fuel cell technology. J Power Sources 2007; 171: 835-841. (Pubitemid 47371276)
26. Gasteiger HA, Markovic NM, Ross PN. H2 and CO electrooxidation on well-characterized Pt, Ru, and Pt-Ru. 1. Rotating-disk electrode studies of the pure gases including temperature effects. J Phys Chem 1995a; 99: 8290-8301.
27. Gasteiger HA, Markovic NM, Ross PN. H2 and CO electrooxidation on well-characterized Pt, Ru, and Pt-Ru. 2. Rotating disk electrode studies of CO/H2 mixtures at 62 degrees C. J Phys Chem 1995b; 99: 16757-16767.
28. Gottesfeld S, Pafford J. A new approach to the problem of carbon monoxide poisoning in fuel-cells operating at low temperatures. J Electrochem Soc 1988; 135: 2651.
29. Grötsch M, Hanke-Rauschenbach R, Mangold M Bifurcation analysis of a two-phase PEMFC model. J Fuel Cell Sci Technol 2008 5(2) 021001, May.
30. Grötsch M, Mangold M, Kienle A Analysis of the coupling behaviour of PEM fuel cells and DC-DC converters. Energies 2009 2 48-73.
31. Gurau V, Zawodzinski TA, Mann JA. Spatiotemporal behavior of water and two-phase transport in the porous electrodes for PEM fuel cells. ECS Trans 2009; 19: 29-38.
32. Hanke-Rauschenbach R, Mangold M, Sundmacher K. Bistable current-voltage characteristics of PEM fuel cells operated with reduced feed stream humidifi cation. J Electrochem Soc 2008; 155: B97-B107.
33. Hanke-Rauschenbach R, Weinzierl C, Krasnik M, Rihko-Struckmann L, Lu H, Sundmacher K. Operating behaviour and scale-up of an ECPrOx unit for CO removal in reformate for PEM fuel cell application. J Electrochem Soc 2009; 156: B1267.
34. Hanke-Rauschenbach R, Kirsch S, Kelling R, Weinzierl C, Sundmacher K. Oscillations and pattern formation in a PEM fuel cell with Pt/Ru anode exposed to H2/CO mixtures. J Electrochem Soc 2010; 157: B1521-B1528.
35. Heidebrecht P, Hartono B, Hertel C, Sundmacher K. Biomass-based fuel cell power plants: Evaluation of novel reactors and process designs. Ind Eng Chem Res 2010; 49: 10859-10875.
36. Heidebrecht P, Hanke-Rauschenbach R, J ö rke A, Sundmacher K. On the design of cascades of ECPrOx reactors for deep CO removal from reformate gas. Chem Eng Sci 2011; doi: 10.1016/ j.ces.2011.07.031.
37. Hogarth WHJ, Benziger JB. Dynamics of autohumidifed PEM fuel cell operation. J Electrochem Soc 2006 153 A2139-A2146. (Pubitemid 44538314)
38. Ju H, Wang CY. Experimental validation of a PEM fuel cell model by current distribution data. J Electrochem Soc 2004; 151: A1954-A1960. (Pubitemid 40010138)
39. Ju G, Reifsnider K, Huang X. Infrared thermography and thermoelectrical study of a solid oxide fuel cell. J Fuel Cell Sci Technol 2008; 5: 031006.
40. Kadyk T, Kirsch S, Hanke-Rauschenbach R, Sundmacher K. Autonomous potential oscillations at the Pt anode of a PEM fuel cell under CO poisoning. Electrochim 2011. Acta (in press). doi: 10.1016/j.electacta.2011.05.005.
41. Katsaounis A, Balomenou S, Tsiplakides D, Brosda S, Neophytides S, Vayenas CG. Proton tunneling-induced bistability, oscillations and enhanced performance of PEM fuel cells. Appl Catal B-Environ 2005a; 56: 251-258.
42. Katsaounis A, Balomenou SP, Tsiplakides D, Tsampas M, Vayenas CG. The role of potential-dependent electrolyte resistance in the performance, steady-state multiplicities and oscillations of PEM fuel cells: Experimental investigation and macroscopic modelling. Electrochim. Acta 2005b; 50: 5132-5143. (Pubitemid 41252441)
43. Katsaounis A, Tsampas M, Balomenou SP, Tsiplakides D, Vayenas CG. Potential-dependent electrolyte resistance and steady-state multiplicities of PEM fuel cells. Solid State Ion 2006; 177: 2397-2401. (Pubitemid 44634039)
44. Kimball E, Whitaker T, Kevrekidis YG, Benziger JB. Drops, slugs, and flooding in polymer electrolyte membrane fuel cells. AICHE J 2008; 54: 1313-1332. (Pubitemid 351690883)
45. Kirsch S, Hanke-Rauschenbach R, Sundmacher K. Analysis of spatio-temporal pattern formation in a PEM fuel cell with Pt/Ru anode exposed to H2/CO mixtures. J Electrochem Soc 2011; 158: B44-B53.
46. Krischer K. Principles of temporal and spatial pattern formation in electrochemical systems. In: Conway BE, Bockris JO'M, White RE, editors. Modern aspects of electrochemistry. Vol. 32. Plenum Press, New York. 1999: 1-142.
47. Krischer K. Nonlinear dynamics in electrochemical systems. In: Alkire RC, Kolb DM, editors. Advances in electrochemical science and engineering. Vol. 8. Wiley-VCH, Weinheim. 2003: 89-208.
48. Kulikovsky AA, Scharmann H, Wippermann K. Dynamics of fuel cell performance degradation. Electrochem. Commun 2004a; 6: 75-82.
49. Kulikovsky AA, Scharmann H, Wippermann K. On the origin of voltage oscillations of a polymer electrolyte fuel cell in galvanostatic regime. Electrochem Commun 2004b; 6: 729-736.
50. Kulikovsky AA, Kucernak A, Kornyshev AA. Feeding PEM fuel cells. Electrochim. Acta 2005; 50: 1323-1333.
51. Larminie J, Dicks A. Fuel cell systems explained, 2. aufl editors. Wiley, Chichester, u.a, 2003.
52. Lemoine-Nava R, Hanke-Rauschenbach R, Mangold M, Sundmacher K. The gas diffusion layer in polymer electrolyte membrane fuel cells: A process model of the two-phase flow. Int J Hydrog Energy 2011; 36: 1637-1653.
53. Litster S, Djilali N. Mathematical modelling of ambient airbreathing fuel cells for portable devices. Electrochim Acta 2007; 52: 3849-3862. (Pubitemid 46274640)
54. Liu J, Eikerling M. Model of cathode catalyst layers for polymer electrolyte fuel cells: The role of porous structures and water accumulation. Electrochim Acta 2008; 53: 4435-4446.
55. Liu ZX, Yang LZ, Mao ZQ, Zhuge WL, Zhang YJ, Wang LS. Behavior of PEMFC in starvation. J Power Sources 2006; 157: 166-176.
56. Lopes PP, Ticianelli EA. The CO tolerance pathways on the Pt-Ru electrocatalytic system. J Electroanal Chem 2010; 644: 110-116.
57. Lopes PP, Ticianelli EA, Varela H. Potential oscillations in a proton exchange membrane fuel cell with a Pd-Pt/C anode. J Power Sources 2011; 196: 84-89.
58. Lu H, Rihko-Struckmann L, Hanke-Rauschenbach R, Sundmacher K. Dynamic behavior of a PEM fuel cell during electrochemical CO oxidation on a PtRu anode. Top Catal 2008; 51: 89.
59. Lu H, Rihko-Struckmann L, Hanke-Rauschenbach R, Sundmacher K. Improved electrochemical CO removal via potential oscillations in serially connected PEM fuel cells with PtRu anodes. Electrochim Acta 2009; 54: 1184.
60. Mangold A, Krasnyk A, Sundmacher K. Nonlinear ana lysis of current instabilities in high temperature fuel cells. Chem Eng Sci 2004; 59: 4869-4877. (Pubitemid 39605726)
61. Mangold M, Krasnyk M, Sundmacher K. Theoretical investigation of steady state multiplicities in solid oxide fuel cells. J Appl Electrochem 2006; 36: 265-275. (Pubitemid 43201058)
62. Mench MM, Wang CYH. An in situ method for determination of current distribution in pem fuel cells applied to a direct methanol fuel cell. J Electrochem Soc 2003; 150: A79-A85.
63. Mench MM, Wang CY, Ishikawa M. In situ current distribution measurements in polymer electrolyte fuel cells. J Electrochem Soc 2003; 150: A1052-A1059.
64. Mota A, Lopes PP, Ticianelli EA, Gonzalez ER, Varela H. Complex dynamics in a PEM fuel cell. ECS Trans 2009; 25: 81.
65. Mota A, Lopes PP, Ticianelli EA, Gonzalez ER, Varela H. Complex oscillatory response of a PEM fuel cell fed with H2/CO and oxygen. J Electrochem Soc 2010; 157: B1301-B1304.
66. Moxley JF, Tulyani S, Benziger JB. Steady-state multiplicity in the autohumidifi cation polymer electrolyte membrane fuel cell. Chem Eng Sci 2003; 58: 4705-4708. (Pubitemid 37274553)
67. Murthy M, Esayian M, Hobson A, MacKenzie S, Lee WK, Van Zee JW. Performance of a polymer electrolyte membrane fuel cell exposed to transient CO concentrations. J Electrochem Soc 2001; 148: A1141.
68. Nazarov I, Promislow K. Ignition waves in a stirred PEM fuel cell. Chem Eng Sci 2006; 61: 3198-3209.
69. Nazarov I, Promislow K. The impact of membrane constraint on PEM fuel cell water management. J Electrochem Soc 2007; 154: B623-B630. (Pubitemid 46872234)
70. O'Hayre R, Cha S.-W, Colella W, Prinz FB. Fuel cell fundamentals. Hoboken, NJ: Wiley, 2006.
71. Orazem ME, Tribollet B. Electrochemical impedance spectroscopy. Hoboken, NJ: Wiley-VCH, 2008.
72. Pismen L. Kinetic instabilities in man-made and natural reactors. Chem Eng Sci 1980; 35: 1950-1978. (Pubitemid 11465195)
73. Promislow KS. Phase change and hysteresis in PEMFCs. In: Paddison SJ, Promislow KS, editors. Device and materials modeling in PEM fuel cells. New York, NY, Springer, 2009: 253-295.
74. Razon LF, Schmitz RA. Multiplicities and instabilities in chemically reacting systems-a review. Chem Eng Sci 1987; 42: 1005-1047.
75. Rohland B, Plzak V. The PEMFC-integrated CO oxidation-a novel method for simplifying the fuel cell plant. J Power Sources 1999; 84: 183-186. (Pubitemid 30523599)
76. Sanchez D, Diaz D, Hiesgen R, Wehl I, Friedrich K. Oscillations of PEM fuel cells at low cathode humidifcation. J Electroanal Chem 2010; 649: 219-231.
77. Schneider IA, Kramer D, Wokaun A, Scherer GG. Oscillations in gas channels-part I. The forgotten player in impedance spectroscopy in PEMFCs. J Electrochem Soc 2007; 154: B383-B388.
78. Shore L, Farrauto RJ. PrOx catalysts. In: Vielstich W, Lamm A, Gasteiger HA, editors. Handbook of fuel cells, Vol. 3rd. Wiley, Chichester, 2003: 211.
79. Siefert NS, Litster S. Voltage loss and fl uctuation in proton exchange membrane fuel cells: The role of cathode channel plurality and air stoichiometric ratio. J Power Sources 2011; 196: 1948-1954.
80. Siegmeier J, Baba N, Krischer K. Bistability and oscillations during electrooxidation of H2-CO mixtures on Pt: Modeling and bifurcation analysis. J Phys Chem C 2007; 111: 13481-13489. (Pubitemid 47481942)
81. Silva RF, De Francesco A, Pozio A. Tangential and normal conductivities of Nafi on membranes used in polymer electrolyte fuel cells. J Power Sources 2004; 134: 18-26. (Pubitemid 41326000)
82. Sundmacher K. Fuel cell engineering: Towards the design of effi-cient electrochemical power plants. Ind Eng Chem Res 2010; 49: 10159-10182.
83. Thomason AH, Lalk TR, Appleby AJ. Effect of current pulsing and self-oxidation on the CO tolerance of a PEM fuel cell. J Power Sources 2004; 135: 204.
84. Tsampas MN, Pikos A, Brosda S, Katsaounis A, Vayenas CG. The effect of membrane thickness on the conductivity of Nafi on. Electrochim. Acta 2006; 51: 2743-2755. (Pubitemid 43277690)
85. Vayenas CG, Tsampas MN, Katsaounis A. First principles analytical prediction of the conductivity of Nafi on membranes. Electrochim. Acta 2007; 52: 2244-2256. (Pubitemid 46072826)
86. Vielstich W, Lamm A, Gasteiger H.A. (Hrsg.) Handbook of fuel cells-fundamentals, technology and applications, Vol. 1-4. Wiley, Chichester, u.a, 2003.
87. Wagner N, Schulze M. Change of electrochemical impedance spectra during CO poisoning of the Pt and Pt-Ru anodes in a membrane fuel cell (PEFC). Electrochim Acta 2003; 48: 3899-3970.
88. Wee J.-H, Lee KY. Overview of the development of CO-tolerant anode electrocatalysts fro proton-exchange membrane fuel cells. J Power Sources 2006; 157: 128.
89. Zhang JX, Datta R. Sustained potential oscillations in proton exchange membrane fuel cells with PtRu as anode catalyst. J Electrochem Soc 2002; 149: A1423.
90. Zhang JX, Datta R. Higher power output in a PEMFC operating under autonomous oscillatory conditions in the presence of CO. Electrochem. Solid State Lett 2004; 7: A37.
91. Zhang JX, Datta R. Electrochemical preferential oxidation of CO in reformate. J Electrochem Soc 2005; 152: A1180.
92. Zhang JX, Fehribach JD, Datta R. Mechanistic and bifurcation analysis of anode potential oscillations in PEMFCs with CO in anode feed. J Electrochem Soc 2004; 151: A689.
93. Ziegler C, Yu H, Schumacher J. Two-phase dynamic modeling of the PEMFC and simulation of cyclo-voltammograms. J Electrochem Soc 2005; 152: A1555-A1567. (Pubitemid 41381108)