Mechanistic approach to performance equations for cathodes in polymer electrolyte fuel cells

Hsuen, Hsiao-Kuo

doi:10.1016/s0378-7753(03)00511-1

Cited by 12 publications

(8 citation statements)

References 25 publications

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“…Incorporation of mass-transport limitations a priori distinguishes these models from those of Song et al (2004), Eikerling & Kornyshev (1998), Eikerling & Kornyshev (1999), Wang et al (2004), Um et al (2000), Genevey (2004) and Hsuen (2003), which treat the CCL as a homogeneous porous medium, i.e. each phase exists in each reference control volume and is specified solely by a volume fraction.…”

Section: Downloaded From Mathematical Modelling Of a Pemfc Catalyst Lmentioning

confidence: 99%

“…Mathematical treatments, using analytical methods, are found in Giner & Hunter (1969), Cutlip (1975), Eikerling & Kornyshev (1998, 1999 and Hsuen (2003). Eikerling & Kornyshev (1998, 1999, employ an isothermal homogeneous model, with a pseudo Maxwell-Stefan law for the O 2 flux and Ohm's law for p + migration.…”

Section: Downloaded From Mathematical Modelling Of a Pemfc Catalyst Lmentioning

confidence: 99%

“…They seek exact or implicit solutions in selected limits, which are justified through semi-heuristic arguments. Hsuen's (2003) approach is also homogeneous and isothermal, but includes an equation for the electrical potential and incorporates the GDL. However, his analysis rests on the (unjustified) assumption that either the O 2 concentration or the electrolyte potential can be approximated by piecewise polynomial functions.…”

Section: Downloaded From Mathematical Modelling Of a Pemfc Catalyst Lmentioning

confidence: 99%

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Mathematical modelling of the catalyst layer of a polymer electrolyte fuel cell

Shah¹,

Kim²,

Promislow³

2007

IMA Journal of Applied Mathematics

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In this paper, we derive a mathematical model for the cathode catalyst layer of a polymer electrolyte fuel cell. The model explicitly incorporates the restriction placed on oxygen in reaching the reaction sites, capturing the experimentally observed fall in the current density to a limiting value at low cell voltages. Temperature variations and interfacial transfer of O 2 between the dissolved and gas phases are also included. Bounds on the solutions are derived from which we provide a rigourous proof that the model admits a solution. Of particular interest are the maximum and minimum attainable values. We perform an asymptotic analysis in several limits inherent in the problem by identifying important groupings of parameters. This analysis reveals a number of key relationships between the solutions, including the current density, and the composition of the layer. A comparison of numerically computed solutions and asymptotic solutions shows very good agreement. Implications of the results are discussed and future work is outlined.

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Section: Downloaded From Mathematical Modelling Of a Pemfc Catalyst Lmentioning

confidence: 99%

Section: Downloaded From Mathematical Modelling Of a Pemfc Catalyst Lmentioning

confidence: 99%

Section: Downloaded From Mathematical Modelling Of a Pemfc Catalyst Lmentioning

confidence: 99%

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Mathematical modelling of the catalyst layer of a polymer electrolyte fuel cell

Shah¹,

Kim²,

Promislow³

2007

IMA Journal of Applied Mathematics

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“…D G p , D G N and D G v are approximated as in (4) and (17) (with p replaced with g ), evaluated at the cathode channel conditions. The phase-change term on the right-hand side of (47) is defined as in (25) and (26), with p replaced with g .…”

Section: Gas Diffusion Layermentioning

confidence: 99%

“…Explicit incorporation of such resistances distinguishes these models from those in [22][23][24][25][26][27][28], which treat the CCL as a homogeneous porous medium, i.e., each phase exists in each reference control volume and is specified solely by a volume fraction. Such models are not able to capture the limiting-current-density phenomena.…”

Section: Introductionmentioning

confidence: 99%

The effects of water and microstructure on the performance of polymer electrolyte fuel cells

Shah

Kim

Gervais

et al. 2006

Journal of Power Sources

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In this paper, we present a comprehensive non-isothermal, one-dimensional model of the cathode side of a Polymer Electrolyte Fuel Cell. We explicitly include the catalyst layer, gas diffusion layer and the membrane. The catalyst layer and gas diffusion layer are characterized by several measurable microstructural parameters. We model all three phases of water, with a view to capturing the effect that each has on the performance of the cell. A comparison with experiment is presented, demonstrating excellent agreement, particularly with regard to the effects of water activity in the channels and how it impacts flooding and membrane hydration. We present several results pertaining to the effects of water on the current density (or cell voltage), demonstrating the role of micro-structure, liquid water removal from the channel, water activity, membrane and gas diffusion layer thickness and channel temperature. These results provide an indication of the changes that are required to achieve optimal performance through improved water management and MEA-component design. Moreover, with its level of detail, the model we develop forms an excellent basis for a multi-dimensional model of the entire membrane electrode assembly.

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A thin-film/agglomerate model of a proton-exchange-membrane fuel cell cathode catalyst layer with consideration of solid-polymer-electrolyte distribution

Yin

2007

J Appl Electrochem

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A thin-film/agglomerate model for the cathode part of a proton-exchange-membrane fuel cell is developed. Parameter estimation is employed to determine the exchange current density in the catalyst layer, proton conductivity of the recast ionomer, and oxygen diffusivity in the solid polymer electrolyte. The effects of catalyst and polymer electrolyte loadings in the catalyst layer on the cell performance are demonstrated using this model. The influence of polymer electrolyte distribution in the catalyst layer is correlated with the oxygen diffusion and proton migration rates within the electrolyte. It is found that proton migration in the polymer electrolyte is the dominant factor for cell current density under normal operating conditions. A better cell performance is achieved by a concentrated polymer electrolyte near the catalyst layer/membrane interface.Keywords Cathode catalyst layer Á Mathematical model Á Proton-exchange-membrane fuel cell Á Solid polymer electrolyte Á Thin-film/agglomerate model

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Mechanistic approach to performance equations for cathodes in polymer electrolyte fuel cells

Cited by 12 publications

References 25 publications

Mathematical modelling of the catalyst layer of a polymer electrolyte fuel cell

Mathematical modelling of the catalyst layer of a polymer electrolyte fuel cell

The effects of water and microstructure on the performance of polymer electrolyte fuel cells

A thin-film/agglomerate model of a proton-exchange-membrane fuel cell cathode catalyst layer with consideration of solid-polymer-electrolyte distribution

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