Systematic characterization of a PBI/H3PO4 sol–gel membrane—Modeling and simulation

Siegel, C.; Bandlamudi, G.; Heinzel, Angelika

doi:10.1016/j.jpowsour.2010.11.028

Cited by 48 publications

(29 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Since EIS is a measurement of the slope of the losses, no effect is observed. [14]; 6 10 -2 [15] a σ (-) 2 2.6 10 -2 [35] a C (-) 0.85 0.8 [39]; 0.78 [25]; 0.89 [20]; 1 [42]; 0.73 [35]; 1 [14]; 0.8 [15] b (mV dec -1 ) 101 108 [39]; 111 [25]; 91 104 [21]; 97 [20]; 86 [42]; 118 [35]; 86 [14]; 108 [15] i* (A cm -3 ) 1.55 10 -2 1.3 10 -3 [14] i* (A cm -2 Pt ) 4.7 10 -9 a 1.8/24 10 -9 [21]; 1.4 10 -9 [20]; 29 10 -9 [35] i* δ CL (A cm -2 ) 4.7 10 -5 2.1/4.1 10 -5 [39]; 1.5 10 -5 [25]; 6.9 10 -6 [42]; 3.8 10 -5 [15] D O2 (cm 2 s -1 ) 10.8 10 -4 et À1 el (-) 1.2 10 -2 3.2 10 -2 [29]; 14 10 -2 [14] C DL (F cm -3 ) 9 140 [14] C DL (F cm -2 ) 2 7 10 -3 50 10 -3 [15] s 0 e 1:5 PA (S cm -1 ) 2.79 10 -2 13 10 -2 [20]; 0.16 10 -2 [14] a Exchange current density calculated with an active area of 145 cm 2 cm -2 measured by cyclic voltammetry and O 2 solubility in PBI + phosphoric acid from Ref. [21].…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…In the meanwhile, several models have been proposed in the literature to reproduce the features of the polarization curve; we refer to Siegel et al [20] for a comprehensive review on the topic. On the other side, to the authors' knowledge there is a lack in the literature of physical based models for the interpretation of the EIS measurement.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years [17], phosphoric acid doped polybenzimidazole was demonstrated as a polymer membrane suitable for high temperature operation, since it can operate up to 200°C [18], as recently reviewed [19]. In the meanwhile, several models have been proposed in the literature to reproduce the features of the polarization curve; we refer to Siegel et al [20] for a comprehensive review on the topic. On the other side, to the authors' knowledge there is a lack in the literature of physical based models for the interpretation of the EIS measurement.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Quasi 2D Model of a High Temperature Polymer Fuel Cell for the Interpretation of Impedance Spectra

2014

View full text Add to dashboard Cite

Electrochemical impedance spectroscopy is a widely recognized tool for in situ diagnostics of polymer fuel cells. The main drawback of this measurement is that it includes several features, which are not directly related to physical phenomena and the interpretation is often difficult. In this work, a physical quasi 2D model is applied to experimental data of a high temperature proton exchange fuel cell based on polybenzimidazole doped with phosphoric acid. The quasi 2D approach is applied in order to decrease the computational cost of the model, without decreasing the prediction capability. The model is able to simulate polarization curves and impedance spectra and it is fitted on six polarization data and impedance spectra recorded in different conditions. The model is able to capture the main features of a typical spectrum of a polybenzimidazole based high temperature polymer fuel cell. A sensitivity analysis is also performed on the model parameters to show the effect of each physical parameter.

show abstract

Section: Sensitivity Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Quasi 2D Model of a High Temperature Polymer Fuel Cell for the Interpretation of Impedance Spectra

2014

View full text Add to dashboard Cite

show abstract

“…Because of this advantages, HT-PEMs have been attracted attentions and many studies such as its performance [1][2][3][4][5], CO contamination [6][7][8], numerical modelling [9][10][11] have been done. But in the literature the two phase flow in HT-PEMs are very scarce.…”

Section: Introductionmentioning

confidence: 99%

The effect of porosity on performance of phosphoric acid doped polybenzimidazole polymer electrolyte membrane fuel cell

Çelik

Genç

Elden

et al. 2016

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract.A polybenzimidazole (PBI) based polymer electrolyte fuel cells, which called high temperature polymer electrolyte fuel cells (HT-PEMS), operate at higher temperatures (120-200 o C) than conventional PEM fuel cells. Although it is known that HT-PEMS have some of the significant advantages as non-humidification requirements for membrane and the lack of liquid water at high temperature in the fuel cell, the generated water as a result of oxygen reduction reaction causes in the degradation of these systems. The generated water absorbed into membrane side interacts with the hydrophilic PBI matrix and it can cause swelling of membrane, so water transport mechanism in a membrane electrode assembly (MEA) needs to be well understood and water balance must be calculated in MEA. Therefore, the water diffusion transport across the electrolyte should be determined. In this study, various porosity values of gas diffusion layers are considered in order to investigate the effects of porosity on the water management for two phase flow in fuel cell. Two-dimensional fuel cell with interdigitated flow-field is modelled using COMSOL Multiphysics 4.2a software. The operating temperature and doping level is selected as 160 o C and 6.75mol H3PO4/PBI, respectively.

show abstract

“…Quite a number of HTPEM fuel cell models exist in the literature. These range from simple lumped models (6) over 1D (7) and 2D (8) models to full 3D CFD models (9)(10)(11). When fitting models to fuel cell impedance spectra, the models used are typically simple equivalent circuit models (12)(13)(14).…”

Section: Introductionmentioning

confidence: 99%

Estimating Important Electrode Parameters of High Temperature PEM Fuel Cells By Fitting a Model to Polarisation Curves and Impedance Spectra

Vang,

Zhou,

Andreasen

et al. 2015

Meet. Abstr.

View full text Add to dashboard Cite

A high temperature PEM (HTPEM) fuel cell model capable of simulating both steady state and dynamic operation is presented. The purpose is to enable extraction of unknown parameters from sets of impedance spectra and polarisation curves. The model is fitted to two polarisation curves and four impedance spectra measured on a Dapozol 77 MEA. The model is capable of achieving good agreement with the recorded curves. Except at OCV, where the voltage is overpredicted, the simulated polarisation curves deviate maximum 3.0% from the measurements. The impedance spectra deviate maximum 3.7%. The fitted parameter values are within the range reported in literature. The only exception is the catalyst layer acid content, which is an order of magnitude lower. This may derive from acid migration. The model is used to illustrate the effect of reactant dynamics on the impedance spectrum. The model can aid in the analysis of data from degradation tests. NomenclatureVariable [unit] Description Variable [unit] Description ai Activity of reactant i RH Relative humidity ‫ܣ‬ େ, [m 2 kg -1 ] Carbon surface area ܵ [mol m -3 s -1 ] Source term of species i ‫ܣ‬ ௧, [m ୲ ଶ m ିଷ ] ECSA per CL volume T [K] Absolute temperature ‫ܣ‬ ௦௨ [m 2 m -2 ] CL pore surface area TC [°C] Celsius temperature c [mol m -3 ] Total molar concentration tj [m] Thickness of MEA layer j ci [mol m -3 ] Molar concentration of i u [m s -1 ] Velocity vector ܿ , మ , ሾmol m ିଷ atm ିଵ ሿ Oxygen solubility in phase i V [V] Cell voltage ‫ܥ‬ ௗ [F m -2 ] Double layer capacitance ܸ [m 3 m -2 ] Area specific acid volume. dfilm [m] Acid film thickness ܸ [m 3 m -2 ] Specific pore volume. ‫ܦ‬ [m 2 s -1 ] Diffusion coefficient of i ‫ݓ‬ ୌ య ర H3PO4 mass fraction ‫ܦ‬ [m 2 s -1 ] Binary diffusion coefficient X H3PO4 per PBI repeat unit E [V] Open circuit potential ‫ݕ‬ Mole fraction F [C mol -1 ] Faraday's constant ߂ܵ [J mol -1 K -1 ] Reaction entropy i [A cm -2 ] Cell level current density ߳ Porosity ݅ ௧ [A m ୲ ିଶ ] Current density per ECSA ߳ ,() Volume fraction of i (in j) ݅ ሾA m ୲ ିଶ ሿ Exchange current density Η [V] Overpotential ݆ [A m -3 ] Volumetric current density ߢ [S m -1 ] Ionic conductivity ݇ [m 2 ] Permeability Μ [kg m -1 s -1 ] Dynamic viscosity ‫ܮ‬ ୧ [kg m -2 ] Loading of i in CL Ρ [kg m -3 ] Density M [kg mol -1 ] Molar mass ߶ [V] Electronic potential Rcell [Ω cm 2 ] Cell contact resistance ߶ [V] Ionic potential

show abstract

Systematic characterization of a PBI/H3PO4 sol–gel membrane—Modeling and simulation

Cited by 48 publications

References 35 publications

A Quasi 2D Model of a High Temperature Polymer Fuel Cell for the Interpretation of Impedance Spectra

A Quasi 2D Model of a High Temperature Polymer Fuel Cell for the Interpretation of Impedance Spectra

The effect of porosity on performance of phosphoric acid doped polybenzimidazole polymer electrolyte membrane fuel cell

Estimating Important Electrode Parameters of High Temperature PEM Fuel Cells By Fitting a Model to Polarisation Curves and Impedance Spectra

Contact Info

Product

Resources

About