# Electrochemical Performance Measurements of PBI-Based High-Temperature PEMFCs

Authors: Javier Parrondo; Chitturi Venkateswara Rao; Sundara L. Ghatty; B. Rambabu
Journal: International Journal of Electrochemistry
 (2011)

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## Abstract

Acid-doped poly(2,2′-m-phenylene-5,5′-bibenzimidazole) membranes have been prepared and used to assemble membrane electrode assemblies (MEAs) with various contents of PBI (1–30 wt.%) in the gas diffusion electrode (GDE). The MEAs were tested in the temperature range of 140∘C–200∘C showing that the PBI content in the electrocatalyst layer influences strongly the electrochemical performance of the fuel cell. The MEAs were assembled using polyphosphoric acid doped PBI membranes having conductivities of 0.1 S cm−1 at 180∘C. The ionic resistance of the cathode decreased from 0.29 to 0.14 Ohm-cm2 (180∘C) when the content of PBI is varied from 1 to 10 wt.%. Similarly, the mass transfer resistance or Warburg impedance increased 2.5 times, reaching values of 6 Ohm-cm2. 5 wt.% PBI-based MEA showed the best performance. The electrochemical impedance measurements were in good agreement with the fuel cell polarization curves obtained, and the optimum performance was obtained when overall resistance was minimal.


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## Body

## 1. Introduction

Polymer electrolyte membrane fuel cell (PEMFCs) operated in the temperature range 160°C to 200°C offer benefits,  over low temperature operation (80°C), such as the elimination of humidification requirements, increased tolerance to fuel impurities, more available fuels, lower fuel reforming costs, and smaller radiators [1]. In recent years, polybenzimidazole (PBI)-phosphoric acid-based membranes have been successfully employed to meet requirements such as chemical and thermal stability for high-temperature operation [2–8]. However, some of the following problems have been delaying the progress of PBI membranes: poor mechanical properties due to the use of low molecular weight polymers, low ionic conductivities owing to low phosphoric acid loading [7, 9], degradation due to loss of phosphoric acid, and low Pt utilization due to the adsorption of phosphate ions onto the catalyst surface and oxidation of platinum [10, 11].The two PBI polymer systems, which have been thoroughly investigated as acid-imbibed systems, are based on commercially available poly(2,2’-m-phenylene-5,5’-bibenzimidazole) (m-PBI) and poly(2,5-benzimidazole) (AB-PBI) [2, 12–16]. Recently, a sol-gel process allowing the synthesis of a variety of PBI chemical structures was reported and employed in the preparation of commercial membranes [17–19]. This method, called polyphosphoric acid process (PPA process), uses polyphosphoric acid (PPA) as the polycondensation agent, polymerization solvent, and membrane casting solvent. The phosphoric acid content of membranes produced by casting PPA solution of the polymer can be more than 95 wt.%, or up to 70 phosphoric acid molecules per PBI repeat unit [13]. The properties that prompted the selection of these specific membranes, in comparison to the ones prepared by casting, and subsequent acid treatment, were its high phosphoric acid doping levels, good mechanical properties, excellent conductivities, and long-term stabilities.In order for maximum power production, the manufacturing of membrane electrode assemblies operating in the temperature range of 120°C–200°C is highly dependent upon optimization of electrode structure. The data yielded from the performance of the ABPBI polymer-prepared MEAs electrodes was analyzed using polarization curves, and it was concluded that the optimum results are obtained with electrodes having 20 wt.% of ABPBI [20]. For better understanding of the impact of the ionomer in the cathode catalysts layer on cell performance, the total potential losses were separated into activation, ohmic, and concentration losses. The penetration of the PBI-phosphoric acid ionomer into the pores results in low utilization of the platinum catalyst, and it is concluded that this activation loss is the main contributor to the total potential loss.The activation loss in the fuel cell was lowest with 10 wt.% ionomer in the catalyst layer. MEAs prepared with high platinum content and a thin catalyst layer on both the anode and cathode perform the best [10, 20, 21]. It is important to identify the optimum content of PBI in the electrocatalysts ink/electrode composition of the MEAs for HT-PEMFCs. The studies dealing with electrode composition and processing of MEAs and their performance have been reported; however, there is a need for systematic studies to understand the transport processes within the electrodes for high-temperature (HT) operation and further optimization of the MEA structure and composition.Various internal losses within the voltage response are difficult to differentiate in analysis of polarization curves. Impedance spectroscopy (EIS) was used for further quantifying and discriminating among the various losses encountered since EIS can separate individual transport processes depending on their characteristic time constants. These two techniques together allow a better understanding of the interfacial reactions at the membrane and electrodes.This paper analyzes the effect of PBI concentration in the electrocatalysts ink/electrode composition on the ion transport and thereby the performance of the fuel cell. A parallel analysis of the polarization curves and impedance spectroscopy measurements are needed for the identification of the limiting steps in the overall process. This synthesis of data clarifies the effect of PBI concentration on the fuel cell performance. In addition, we attempt to quantify the effect of the composition of the electrode on the ionic conductivity and mass transport resistances within the electrode accounting oxygen mass transport through polymeric layer covering catalyst surface. Impedance modeling along with the polarization curve analysis of the high-temperature PBI-based MEAs are reported in this paper.


## 2. Experimental Section

### 2.1. Materials

Isophthalic acid (99%) and platinum, nominally 40 wt.% on carbon black were purchased from Alfa Aesar. 3,3′-Diaminobenzidine (99%), N, N′ Dimethylacetamide (99.5%, DMAc), Lithium chloride (99+%, ACS reagent) and polyphosphoric acid (115%) were purchased from Sigma Aldrich.


### 2.2. Synthesis of m-Polybenzimidazole and Fabrication of PBI Membranes

m-polybenzimidazole (m-PBI) polymer was synthesized following the procedure described by Xiao et al. [17]. In a typical synthesis, 3.7135 g of isophthalic acid (22.35 mmol) and 4.7896 g of 3, 3′-diaminobenzidine (22.35 mmol) were added to a three-neck reaction flask in an Argon-filled glovebox, followed by 91.5 g of polyphosphoric acid. The reaction mixture was stirred using a mechanical overhead stirrer, purged with a slow stream of nitrogen and maintained at 190°C–220°C for 16 to 24 h. Inherent viscosity (IV) of the polymer was measured at a polymer concentration of 2 kg m-3 in concentrated sulfuric acid (96 wt.%) at room temperature using an Ubbelohde viscometer.The membranes used in the fabrication of the MEAs were prepared by casting the PPA polymer solution onto glass plates using an adjustable film applicator (GARDCO MICROM II, Paul N. Gardner Company). The gate clearance was fixed in 0.015 cm to obtain after hydrolysis membranes of approximately 100μm. Since polyphosphoric (PPA) acid is extremely hygroscopic, moisture is absorbed from the atmosphere, and PPA is hydrolyzed to phosphoric acid which produces a gel membrane [17]. The concentration of phosphoric acid was estimated by weighting a membrane sample before and after removing phosphoric acid by washing with ammonium hydroxide.


### 2.3. Membrane Electrode Assembly (MEA) Fabrication and High-Temperature PEMFC Testing

MEAs with an active area of 3.24 cm2 were assembled in a 5 cm2 single cell PEMFC with single serpentine flow fields (Fuel Cell Technologies, Inc.), using subgaskets to avoid direct pressure of the gaskets over the membrane and hence protecting the membrane from excessive pressure and stress during (Figure 1). The gas diffusion electrodes were placed at each side of the PBI membrane without hot pressing. The subgaskets had a thickness of 25 μm and the gaskets 395 μm. The pinch, defined as the difference between the MEA and the gaskets thickness was 75 μm.Figure 1
Schematic drawing of the fuel cell system employed in the experiments.PBI was dissolved inN,N’-dimethylacetamide with the aid of lithium chloride (5 wt.%. PBI solution with 1.5% of LiCl) by heat-treating the contents at 250°C (6.3 bar) for 6 h in a stainless steel reactor. The homogeneous solution obtained was subsequently used to prepare catalyst ink [12]. GDE were prepared by airbrush painting over the microporous area of a gas diffusion layer (GDL Sigracet GDL 10BB, 420 μm, SGL Carbon Group). Catalyst ink consisted of carbon supported catalyst (0.2 g, 40 wt.% Pt/C, Alfa Aesar) to which DMAc (7.5 g) and PBI solution (5 wt.% in DMAc) in the required amounts were added to attain concentrations of PBI of 1, 5, 10, 20, or 30 wt.% (dry basis). The ink slurry was stirred overnight to break up the catalyst powder in order to get a homogenous ink. The loading of each electrode was kept in 0.40±0.05 mg Pt cm-2. Identical electrodes were used for the anode and cathode.The performance of the MEAs was evaluated after conditioning for 24 h at 200 mA cm-2 by using a Compact Fuel Cell Test System model 850e (Scribner Associates, Inc.) controlled using FuelCell 3.9c software (Figure 1). The polarization curves were recorded at atmospheric pressure using dry oxygen and hydrogen at temperatures ranging from 160°C to 200°C. Stoichiometric flows (1.2 stoichiometric ratio for hydrogen and 2 for oxygen) with minimum flow of 0.2 L min-1 were employed in the experiments. Cell resistance was measured by using current-interrupt technique.Cyclic voltammetry (CV) and linear sweep voltammetry (LSV) were used to check the amount of active catalyst, the crossover of reactants and the absence of short circuits. The tests were performed using 0.2 L min-1 of dry hydrogen at the anode side (reference and counter-electrode) and 0.2 L min-1 of dry nitrogen at the cathode side (working electrode). CV was recorded in the potential range of 0.05 to 0.8 V at a scan rate of 40 mV s-1, and LSV in the potential range of 0.15 to 0.5 V at a scan rate of 2 mV s-1. The coulombic charge for hydrogen desorption (QH) was used to calculate the ECA of the electrodes [22]. Only the cells demonstrating low hydrogen crossover (below 1 mA cm-2), as well as no shorting were chosen for further testing.


### 2.4. Impedance Spectroscopy

AC impedance spectra were recorded inH2/N2 (using Princeton Applied Research Potentiostat/Galvanostat model 273A and Frequency Response Detector 1025) and in H2/O2 mode (using the build-in FRA of Fuel Cell Test System model 850e) with a constant reactant flow rate of 0.2 L min-1. The cathode and anode are the working and counter electrode, respectively. In H2/N2 mode, an AC signal of 15 mV amplitude, superimposed to a DC signal of 0.3 V, was applied in the frequency range 50 kHz to 1 Hz (potentiostatic mode) [23, 24]. Similarly in H2/O2 mode, a galvanostatic AC signal of 10% DC was applied in the frequency range 5 kHz to 0.1 Hz. The data obtained was fitted to different models using ZVIEW software (Version 3.1, Scribner Associates, Inc.). Since the oxidation of hydrogen is very fast compared with the reduction of oxygen, anode resistance can be neglected when calculating cathode resistance


## 2.1. Materials

Isophthalic acid (99%) and platinum, nominally 40 wt.% on carbon black were purchased from Alfa Aesar. 3,3′-Diaminobenzidine (99%), N, N′ Dimethylacetamide (99.5%, DMAc), Lithium chloride (99+%, ACS reagent) and polyphosphoric acid (115%) were purchased from Sigma Aldrich.


## 2.2. Synthesis of m-Polybenzimidazole and Fabrication of PBI Membranes

m-polybenzimidazole (m-PBI) polymer was synthesized following the procedure described by Xiao et al. [17]. In a typical synthesis, 3.7135 g of isophthalic acid (22.35 mmol) and 4.7896 g of 3, 3′-diaminobenzidine (22.35 mmol) were added to a three-neck reaction flask in an Argon-filled glovebox, followed by 91.5 g of polyphosphoric acid. The reaction mixture was stirred using a mechanical overhead stirrer, purged with a slow stream of nitrogen and maintained at 190°C–220°C for 16 to 24 h. Inherent viscosity (IV) of the polymer was measured at a polymer concentration of 2 kg m-3 in concentrated sulfuric acid (96 wt.%) at room temperature using an Ubbelohde viscometer.The membranes used in the fabrication of the MEAs were prepared by casting the PPA polymer solution onto glass plates using an adjustable film applicator (GARDCO MICROM II, Paul N. Gardner Company). The gate clearance was fixed in 0.015 cm to obtain after hydrolysis membranes of approximately 100μm. Since polyphosphoric (PPA) acid is extremely hygroscopic, moisture is absorbed from the atmosphere, and PPA is hydrolyzed to phosphoric acid which produces a gel membrane [17]. The concentration of phosphoric acid was estimated by weighting a membrane sample before and after removing phosphoric acid by washing with ammonium hydroxide.


## 2.3. Membrane Electrode Assembly (MEA) Fabrication and High-Temperature PEMFC Testing

MEAs with an active area of 3.24 cm2 were assembled in a 5 cm2 single cell PEMFC with single serpentine flow fields (Fuel Cell Technologies, Inc.), using subgaskets to avoid direct pressure of the gaskets over the membrane and hence protecting the membrane from excessive pressure and stress during (Figure 1). The gas diffusion electrodes were placed at each side of the PBI membrane without hot pressing. The subgaskets had a thickness of 25 μm and the gaskets 395 μm. The pinch, defined as the difference between the MEA and the gaskets thickness was 75 μm.Figure 1
Schematic drawing of the fuel cell system employed in the experiments.PBI was dissolved inN,N’-dimethylacetamide with the aid of lithium chloride (5 wt.%. PBI solution with 1.5% of LiCl) by heat-treating the contents at 250°C (6.3 bar) for 6 h in a stainless steel reactor. The homogeneous solution obtained was subsequently used to prepare catalyst ink [12]. GDE were prepared by airbrush painting over the microporous area of a gas diffusion layer (GDL Sigracet GDL 10BB, 420 μm, SGL Carbon Group). Catalyst ink consisted of carbon supported catalyst (0.2 g, 40 wt.% Pt/C, Alfa Aesar) to which DMAc (7.5 g) and PBI solution (5 wt.% in DMAc) in the required amounts were added to attain concentrations of PBI of 1, 5, 10, 20, or 30 wt.% (dry basis). The ink slurry was stirred overnight to break up the catalyst powder in order to get a homogenous ink. The loading of each electrode was kept in 0.40±0.05 mg Pt cm-2. Identical electrodes were used for the anode and cathode.The performance of the MEAs was evaluated after conditioning for 24 h at 200 mA cm-2 by using a Compact Fuel Cell Test System model 850e (Scribner Associates, Inc.) controlled using FuelCell 3.9c software (Figure 1). The polarization curves were recorded at atmospheric pressure using dry oxygen and hydrogen at temperatures ranging from 160°C to 200°C. Stoichiometric flows (1.2 stoichiometric ratio for hydrogen and 2 for oxygen) with minimum flow of 0.2 L min-1 were employed in the experiments. Cell resistance was measured by using current-interrupt technique.Cyclic voltammetry (CV) and linear sweep voltammetry (LSV) were used to check the amount of active catalyst, the crossover of reactants and the absence of short circuits. The tests were performed using 0.2 L min-1 of dry hydrogen at the anode side (reference and counter-electrode) and 0.2 L min-1 of dry nitrogen at the cathode side (working electrode). CV was recorded in the potential range of 0.05 to 0.8 V at a scan rate of 40 mV s-1, and LSV in the potential range of 0.15 to 0.5 V at a scan rate of 2 mV s-1. The coulombic charge for hydrogen desorption (QH) was used to calculate the ECA of the electrodes [22]. Only the cells demonstrating low hydrogen crossover (below 1 mA cm-2), as well as no shorting were chosen for further testing.


## 2.4. Impedance Spectroscopy

AC impedance spectra were recorded inH2/N2 (using Princeton Applied Research Potentiostat/Galvanostat model 273A and Frequency Response Detector 1025) and in H2/O2 mode (using the build-in FRA of Fuel Cell Test System model 850e) with a constant reactant flow rate of 0.2 L min-1. The cathode and anode are the working and counter electrode, respectively. In H2/N2 mode, an AC signal of 15 mV amplitude, superimposed to a DC signal of 0.3 V, was applied in the frequency range 50 kHz to 1 Hz (potentiostatic mode) [23, 24]. Similarly in H2/O2 mode, a galvanostatic AC signal of 10% DC was applied in the frequency range 5 kHz to 0.1 Hz. The data obtained was fitted to different models using ZVIEW software (Version 3.1, Scribner Associates, Inc.). Since the oxidation of hydrogen is very fast compared with the reduction of oxygen, anode resistance can be neglected when calculating cathode resistance


## 3. Results and Discussion

### 3.1. Characterization of PBI Polymer

PBI, synthesized using polyphosphoric acid process, was characterized by means of inherent viscosity (IV) and phosphoric acid content. In agreement with the reported data, the acid content of the PBI membrane that was prepared in house, is 85 wt.%. This weight is in correspondence to 18 mol of phosphoric acid per mol of polymer repeating unit, which yields the conductivities of 0.1 S cm-1 at 160°C [25, 26]. Inherent viscosity, which is an indirect measure of the molecular weight, was in the interval of 0.7–0.9 dL g-1, depending on the batch, being in agreement with published data [2, 17, 27, 28]. Molecular weight was estimated using the Mark-Houwink expression [29]
(1)IV=1.35326×10-4×MW0.7328.The molecular weight calculated for the polymer preparedin house was in the range 115,000–150,000 g mol-1.


### 3.2. Electrochemical Active Areas and Crossover Currents

As can be seen in Table1, ECA were around 10 m2 g-1 Pt at 180°C. The reasons for the low platinum utilization, when compared with Nafion-based MEAs (30–40 m2 g-1 Pt), are due to the adsorption of phosphate ions onto catalyst surface, as well as excessive penetration of PBI and phosphoric acid into the catalytic pores [10].Table 1
Electrochemical active areas (ECA) and crossover currents of PBI-based MEAs at180°C.
PBI content (wt.%)OCV (V)ECA (m2g-1 Pt)Crossover current (mA cm-2)Presence of short circuit10.949.90.3No50.959.80.7No100.9311.80.5No200.8511.00.9No300.919.40.4NoIt is shown in Table1 that hydrogen crossover currents are below 1 mA cm-2 and open circuit voltages (OCV) around 0.9 V. The linear sweep voltammetry does not reveal the presence of any short circuit in the MEAs.


### 3.3. Performance of PBI-Based MEAs

The effect of the amount of PBI in the electrode on polarization curves at 160°C, 180°C, and 200°C are shown in Figure 2. When the concentrations of PBI are in the interval 20–30 wt.%, such as that used in the preparation of Nafion-based MEAs, and the cell voltages are below 0.4 V, the performance was poor, with current densities below 100 mA cm-2. This performance result may come as a consequence of high-mass transfer resistances through the polymeric film surrounding catalyst particles. At 160°C, the performance of 1, 5, and 10 wt.% PBI electrodes were similar, but when the temperature was raised to 180°C and 200°C, they differed, and the best results are obtained in electrodes having 5 wt.% PBI.Polarization curves of PBI-based MEAs at 160, 180 and 200°C using dry gases at atmospheric pressure. H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; Pt loading (anode and cathode): 0.4 mg cm-2.
(a)(b)(c)The effect of temperature on the performance of MEAs prepared using 5 wt.% PBI electrodes is shown in Figure3. Best results were obtained when the MEA was operated at 180°C although the differences between 160 and 180°C were minimal. When temperature is raised from 180 to 200°C, the voltage at 200 mA cm-2 decreases from 0.58 to 0.56 V. These results are in agreement with PBI membranes with high platinum loadings [27, 28]. This improvement could be due to better properties of PBI membranes prepared using PPA process that have higher ionic conductivities than membranes prepared by solution casting and acid treatment [13].Figure 3
Polarization curves for 5 wt.% PBI MEAs at atmospheric pressure and using dry gases.H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; Pt loading (anode and cathode): 0.4 mg cm-2.Better performances can be obtained by increasing Pt loadings in the anode and cathode since with more Pt, mass-transfer resistances within the electrodes decrease because of less diffusion distances. The PBI-based MEAs prepared in this work have half of the Pt content compared to commercial membranes (0.7–1.0 mg Ptcm-2) characterized in our laboratory [17].Membrane resistance of our MEAs were in the range 0.1–0.2 Ohm-cm2 (Figures 2 and 3) depending on the experimental conditions. The ionic conductivity was estimated to be 60–100 mS cm-1 for membrane thickness of 100 μm. The conductivities of the MEAs operated in the interval 140°C–200°C using dry gases are increased  and almost similar to the conductivities encountered in fully hydrated Nafion membranes at 80°C [30].


### 3.4. Ionic Resistance of the Cathode

Impedance spectroscopy data (obtained inH2/N2 mode) was fitted to a transmission line to model the distributed processes within the electrode (Figure 4(a)). The presence of ionic resistance in the electrode was observed by the presence of 45° branch in the Nyquist plot at high frequencies (just before the intercept with the x-axis) which can be seen in Figure 5.Equivalent circuits used (a) to model the impedance in aH2/N2 cell and (b) to model Warburg impedances.
(a)(b)Figure 5
Nyquist plot showing the effect of PBI content on ionic resistance of MEAs at 180°C. Pressure: 1 atm; H2: 0.2 L min-1; N2: 0.2 L min-1; Pt loading (anode and cathode): 0.4 mg cm-2. Impedance shifted along real axis to show separately the curves.The increase of PBI content decreases ionic resistance of the cathode as illustrated in Table2. In the case of electrodes with 1 wt.% of PBI, the cathode resistance at 180°C was 0.29 Ohm-cm2. When the concentration is raised to 5 and 10 wt.%, the resistance decreases to 0.14 Ohm-cm2, and further increase in the PBI content has no effect in the ionic resistance. This resistance is comparable with electrode ionic resistance in Nafion-based MEAs at 80°C under humidified conditions. The low ionic resistances in 5 and 10 wt.% electrodes can also be observed in Figure 5 by the small 45° branch in the Nyquist plot.Table 2
Membrane and cathode resistances in PBI-based MEAs at180°C.
PBI content (wt.%)Membrane resistance (Ohm-cm2)Cathode resistance (Ohm-cm2)10.180.2950.150.21100.120.14The operating temperature of fuel cells also have an effect on the ionic conductivity of the electrode. Albeit, the membrane resistance is almost constant at all temperatures with the increased electrode resistance given in Table3. A 4.5-fold increase in the cathode resistance was observed when the temperature was raised from 140°C to 200°C. The reasons for the decrease of ionic conductivity with temperature could be the low acid content in the electrodes, the loss of phosphoric acid due to evaporation and/or the loss of water when the temperature was raised. In contrast, the membranes with high amounts of phosphoric acid exhibit large conductivities and are constant at all temperatures.Table 3
Membrane and cathode resistances in 5 wt.% PBI electrodes.
Temperature (°C)Membrane resistance (Ohm-cm2)Cathode resistance (Ohm-cm2)1400.120.081600.130.111800.140.212000.150.36


### 3.5. Mass Transfer Resistance in the Cathode

Using oxygen as an oxidant, impedance spectra are recorded at low-current densities to estimate mass transfer resistances through the ionomer layer which covers the catalyst active surface. Since the experiments were performed with oxygen, the diffusion resistance is not likely within the porous electrode structure, but rather through the polymer/PA surface film covering the catalyst particle. The effect of the concentration of PBI in the electrode on the mass transport resistance is shown in Figure6. The observed arc is contributed to both charge transfer resistance (Rct) and mass transfer resistance (generalized finite Warburg element, short circuit terminus); the model employed is schematically drown in Figure 4(b). When the PBI content is increased from 1 to 5 wt.%, there is a slight decrease in the diameter of the impedance arc. This can be explained as a consequence of more penetration of phosphoric acid in the case of 1 wt.% electrodes. When the PBI content is raised from 5 to 30 wt.%, there is an increase in arc diameter, which implies more mass transfer resistances. The high mass transfer resistance in the electrodes with PBI content beyond 5 wt.% is due to the excessive penetration of PBI and phosphoric acid, which decreases electrode porosity and obstructs access to the surface of catalyst.Figure 6
Nyquist plot showing the effect of electrode PBI content on cathode mass transfer resistance at 180°C. Current: 0.1 A; H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; pressure: 1 atm; platinum loading (anode and cathode): 0.4 mg cm-2.Quantitatively, mass transfer resistance (Warburg impedance) was determined by fitting the experimental data with Randles equivalent circuit (model that describes the mass transport in series with the electrochemical reaction at the electrode active surface:Rhf[CPE(RctW)]. The value of charge transfer resistance (Rct) was calculated from the theoretical Tafel slope by using:
(2)Rct=Tafelslope2.303i,
where i is the current density. Theoretical Tafel slope can be obtained using:
(3)Theor.Tafelslope=2.303RTαnF,
where R is the gas constant, T is the absolute temperature, α is the symmetry factor (in the case of O2 reduction α=0.5), n is number of electrons involved in the reaction and F is the Faraday constant.The parameters of Warburg element obtained by fitting experimental data at 180°C is given in Table 4. Warburg resistances are higher than in Nafion-based MEAs as consequence of low catalyst loading, strong adsorption of phosphate, high coverage of catalyst surface by PBI as well as low solubility of oxygen in the polymer [31]. The Warburg resistance increases 2.5-fold when the PBI increases from 5 to 30 wt.%, reaching values as high as 6.25 Ohm-cm2. Time constant of Warburg element is in the range 10–30 ms at low PBI loadings and tends to zero for higher loadings.Table 4
Warburg impedance for PBI-based MEAs at180°C.
PBI content (wt.%)Warburg impedance (R, Ohm-cm2)S=L2/D (s)12.190.02351.840.017102.830.030203.853E-04306.253E-07S is a time constant; L is the effective diffusion thickness, and D the effective diffusion coefficient.Temperature also has a strong effect on mass transport resistances in the electrodes. When the temperature is raised from 140°C to 200°C, there is a decrease in mass transport resistances as illustrated by the decrease of arc diameters in Nyquist plots shown in Figure 7. The Warburg resistances that are calculated as explained above, decreased from 2.3 to 1.4 Ohm-cm2 when the temperature of the fuel cell was raised (Table 5). The decrease of mass transfer resistances can be explained by the increase of the diffusion coefficient with temperature.Table 5
Warburg impedance in 5 wt.% PBI-based MEAs.
Temperature (°C)Warburg impedance (R, Ohm-cm2)S=L2/D (s)1402.260.0231602.370.0191801.840.0172001.450.020Figure 7
Nyquist plot showing the effect of temperature on cathode mass transfer resistance in 5 wt.% PBI electrodes. Current: 0.1 A.H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; pressure: 1 atm; platinum loading (anode and cathode): 0.4 mg cm-2.


## 3.1. Characterization of PBI Polymer

PBI, synthesized using polyphosphoric acid process, was characterized by means of inherent viscosity (IV) and phosphoric acid content. In agreement with the reported data, the acid content of the PBI membrane that was prepared in house, is 85 wt.%. This weight is in correspondence to 18 mol of phosphoric acid per mol of polymer repeating unit, which yields the conductivities of 0.1 S cm-1 at 160°C [25, 26]. Inherent viscosity, which is an indirect measure of the molecular weight, was in the interval of 0.7–0.9 dL g-1, depending on the batch, being in agreement with published data [2, 17, 27, 28]. Molecular weight was estimated using the Mark-Houwink expression [29]
(1)IV=1.35326×10-4×MW0.7328.The molecular weight calculated for the polymer preparedin house was in the range 115,000–150,000 g mol-1.


## 3.2. Electrochemical Active Areas and Crossover Currents

As can be seen in Table1, ECA were around 10 m2 g-1 Pt at 180°C. The reasons for the low platinum utilization, when compared with Nafion-based MEAs (30–40 m2 g-1 Pt), are due to the adsorption of phosphate ions onto catalyst surface, as well as excessive penetration of PBI and phosphoric acid into the catalytic pores [10].Table 1
Electrochemical active areas (ECA) and crossover currents of PBI-based MEAs at180°C.
PBI content (wt.%)OCV (V)ECA (m2g-1 Pt)Crossover current (mA cm-2)Presence of short circuit10.949.90.3No50.959.80.7No100.9311.80.5No200.8511.00.9No300.919.40.4NoIt is shown in Table1 that hydrogen crossover currents are below 1 mA cm-2 and open circuit voltages (OCV) around 0.9 V. The linear sweep voltammetry does not reveal the presence of any short circuit in the MEAs.


## 3.3. Performance of PBI-Based MEAs

The effect of the amount of PBI in the electrode on polarization curves at 160°C, 180°C, and 200°C are shown in Figure 2. When the concentrations of PBI are in the interval 20–30 wt.%, such as that used in the preparation of Nafion-based MEAs, and the cell voltages are below 0.4 V, the performance was poor, with current densities below 100 mA cm-2. This performance result may come as a consequence of high-mass transfer resistances through the polymeric film surrounding catalyst particles. At 160°C, the performance of 1, 5, and 10 wt.% PBI electrodes were similar, but when the temperature was raised to 180°C and 200°C, they differed, and the best results are obtained in electrodes having 5 wt.% PBI.Polarization curves of PBI-based MEAs at 160, 180 and 200°C using dry gases at atmospheric pressure. H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; Pt loading (anode and cathode): 0.4 mg cm-2.
(a)(b)(c)The effect of temperature on the performance of MEAs prepared using 5 wt.% PBI electrodes is shown in Figure3. Best results were obtained when the MEA was operated at 180°C although the differences between 160 and 180°C were minimal. When temperature is raised from 180 to 200°C, the voltage at 200 mA cm-2 decreases from 0.58 to 0.56 V. These results are in agreement with PBI membranes with high platinum loadings [27, 28]. This improvement could be due to better properties of PBI membranes prepared using PPA process that have higher ionic conductivities than membranes prepared by solution casting and acid treatment [13].Figure 3
Polarization curves for 5 wt.% PBI MEAs at atmospheric pressure and using dry gases.H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; Pt loading (anode and cathode): 0.4 mg cm-2.Better performances can be obtained by increasing Pt loadings in the anode and cathode since with more Pt, mass-transfer resistances within the electrodes decrease because of less diffusion distances. The PBI-based MEAs prepared in this work have half of the Pt content compared to commercial membranes (0.7–1.0 mg Ptcm-2) characterized in our laboratory [17].Membrane resistance of our MEAs were in the range 0.1–0.2 Ohm-cm2 (Figures 2 and 3) depending on the experimental conditions. The ionic conductivity was estimated to be 60–100 mS cm-1 for membrane thickness of 100 μm. The conductivities of the MEAs operated in the interval 140°C–200°C using dry gases are increased  and almost similar to the conductivities encountered in fully hydrated Nafion membranes at 80°C [30].


## 3.4. Ionic Resistance of the Cathode

Impedance spectroscopy data (obtained inH2/N2 mode) was fitted to a transmission line to model the distributed processes within the electrode (Figure 4(a)). The presence of ionic resistance in the electrode was observed by the presence of 45° branch in the Nyquist plot at high frequencies (just before the intercept with the x-axis) which can be seen in Figure 5.Equivalent circuits used (a) to model the impedance in aH2/N2 cell and (b) to model Warburg impedances.
(a)(b)Figure 5
Nyquist plot showing the effect of PBI content on ionic resistance of MEAs at 180°C. Pressure: 1 atm; H2: 0.2 L min-1; N2: 0.2 L min-1; Pt loading (anode and cathode): 0.4 mg cm-2. Impedance shifted along real axis to show separately the curves.The increase of PBI content decreases ionic resistance of the cathode as illustrated in Table2. In the case of electrodes with 1 wt.% of PBI, the cathode resistance at 180°C was 0.29 Ohm-cm2. When the concentration is raised to 5 and 10 wt.%, the resistance decreases to 0.14 Ohm-cm2, and further increase in the PBI content has no effect in the ionic resistance. This resistance is comparable with electrode ionic resistance in Nafion-based MEAs at 80°C under humidified conditions. The low ionic resistances in 5 and 10 wt.% electrodes can also be observed in Figure 5 by the small 45° branch in the Nyquist plot.Table 2
Membrane and cathode resistances in PBI-based MEAs at180°C.
PBI content (wt.%)Membrane resistance (Ohm-cm2)Cathode resistance (Ohm-cm2)10.180.2950.150.21100.120.14The operating temperature of fuel cells also have an effect on the ionic conductivity of the electrode. Albeit, the membrane resistance is almost constant at all temperatures with the increased electrode resistance given in Table3. A 4.5-fold increase in the cathode resistance was observed when the temperature was raised from 140°C to 200°C. The reasons for the decrease of ionic conductivity with temperature could be the low acid content in the electrodes, the loss of phosphoric acid due to evaporation and/or the loss of water when the temperature was raised. In contrast, the membranes with high amounts of phosphoric acid exhibit large conductivities and are constant at all temperatures.Table 3
Membrane and cathode resistances in 5 wt.% PBI electrodes.
Temperature (°C)Membrane resistance (Ohm-cm2)Cathode resistance (Ohm-cm2)1400.120.081600.130.111800.140.212000.150.36


## 3.5. Mass Transfer Resistance in the Cathode

Using oxygen as an oxidant, impedance spectra are recorded at low-current densities to estimate mass transfer resistances through the ionomer layer which covers the catalyst active surface. Since the experiments were performed with oxygen, the diffusion resistance is not likely within the porous electrode structure, but rather through the polymer/PA surface film covering the catalyst particle. The effect of the concentration of PBI in the electrode on the mass transport resistance is shown in Figure6. The observed arc is contributed to both charge transfer resistance (Rct) and mass transfer resistance (generalized finite Warburg element, short circuit terminus); the model employed is schematically drown in Figure 4(b). When the PBI content is increased from 1 to 5 wt.%, there is a slight decrease in the diameter of the impedance arc. This can be explained as a consequence of more penetration of phosphoric acid in the case of 1 wt.% electrodes. When the PBI content is raised from 5 to 30 wt.%, there is an increase in arc diameter, which implies more mass transfer resistances. The high mass transfer resistance in the electrodes with PBI content beyond 5 wt.% is due to the excessive penetration of PBI and phosphoric acid, which decreases electrode porosity and obstructs access to the surface of catalyst.Figure 6
Nyquist plot showing the effect of electrode PBI content on cathode mass transfer resistance at 180°C. Current: 0.1 A; H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; pressure: 1 atm; platinum loading (anode and cathode): 0.4 mg cm-2.Quantitatively, mass transfer resistance (Warburg impedance) was determined by fitting the experimental data with Randles equivalent circuit (model that describes the mass transport in series with the electrochemical reaction at the electrode active surface:Rhf[CPE(RctW)]. The value of charge transfer resistance (Rct) was calculated from the theoretical Tafel slope by using:
(2)Rct=Tafelslope2.303i,
where i is the current density. Theoretical Tafel slope can be obtained using:
(3)Theor.Tafelslope=2.303RTαnF,
where R is the gas constant, T is the absolute temperature, α is the symmetry factor (in the case of O2 reduction α=0.5), n is number of electrons involved in the reaction and F is the Faraday constant.The parameters of Warburg element obtained by fitting experimental data at 180°C is given in Table 4. Warburg resistances are higher than in Nafion-based MEAs as consequence of low catalyst loading, strong adsorption of phosphate, high coverage of catalyst surface by PBI as well as low solubility of oxygen in the polymer [31]. The Warburg resistance increases 2.5-fold when the PBI increases from 5 to 30 wt.%, reaching values as high as 6.25 Ohm-cm2. Time constant of Warburg element is in the range 10–30 ms at low PBI loadings and tends to zero for higher loadings.Table 4
Warburg impedance for PBI-based MEAs at180°C.
PBI content (wt.%)Warburg impedance (R, Ohm-cm2)S=L2/D (s)12.190.02351.840.017102.830.030203.853E-04306.253E-07S is a time constant; L is the effective diffusion thickness, and D the effective diffusion coefficient.Temperature also has a strong effect on mass transport resistances in the electrodes. When the temperature is raised from 140°C to 200°C, there is a decrease in mass transport resistances as illustrated by the decrease of arc diameters in Nyquist plots shown in Figure 7. The Warburg resistances that are calculated as explained above, decreased from 2.3 to 1.4 Ohm-cm2 when the temperature of the fuel cell was raised (Table 5). The decrease of mass transfer resistances can be explained by the increase of the diffusion coefficient with temperature.Table 5
Warburg impedance in 5 wt.% PBI-based MEAs.
Temperature (°C)Warburg impedance (R, Ohm-cm2)S=L2/D (s)1402.260.0231602.370.0191801.840.0172001.450.020Figure 7
Nyquist plot showing the effect of temperature on cathode mass transfer resistance in 5 wt.% PBI electrodes. Current: 0.1 A.H2 stoichiometric ratio: 1.2; O2 stoichiometric ratio: 2; minimum flow: 0.2 L min-1; pressure: 1 atm; platinum loading (anode and cathode): 0.4 mg cm-2.


## 4. Conclusions

The effect of the amount of PBI in the electrode on the overall performance was studied in this work. Analysis of polarization curves in the interval 140°C–200°C, using MEAs with different electrode compositions, show that best performance was obtained with electrodes having 5 wt.% PBI. The optimum temperature of operation was 180°C, and in these conditions, 200 mA cm-2 at a voltage of 0.58 V were produced using dry hydrogen and oxygen at atmospheric pressure. Membrane resistances of in house MEAs were in the interval 0.1–0.2 Ohm-cm2 depending on the experimental conditions.The impedance spectra together with polarization data allow understanding transport losses in the PEMFCs at high temperatures (140°C–200°C). The increase of PBI concentration in the electrodes from 1 to 10 wt.% decreases ionic resistance at 180°C from 0.29 to 0.14 Ohm-cm2, and further increase of PBI content has no effect. Cathode resistance also increases with the temperature of operation. In the case of 5 wt.% electrodes, a 3-fold increase in the cathode resistance was observed when the temperature was raised from 140 to 180°C.Impedance spectra recorded using oxygen as an oxidant in the region of activation loss was used to estimate mass-transfer resistances through the ionomer layer, which covers the catalyst active surface. When the PBI content is raised from 1 to 5 wt.%, there is a slight decrease in Warburg impedance, but further increase in PBI concentration results in more mass transfer resistances that lead to an increase in arc diameter in Nyquist plot. At 180°C, Warburg resistance increases 2.5-fold when the PBI increases from 5 to 30 wt.%, reaching resistance values of 6 Ohm-cm2. Temperature also has a strong effect on mass transport within the electrodes. When the temperature is raised from 140°C to 200°C, there is a decrease in Warburg resistance from 2.3 to 1.4 Ohm-cm2. The obtained results from impedance data were in accordance with the polarization curves, and optimum performance was obtained when overall resistance was minimal.



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*Source: 261065-2010-09-16.xml*