Despite a large number of existing studies about direct carbon fuel cells (DCFCs), sufficient power generation has remained a major technical challenge for the commercialization of DCFCs. This study was designed to implement the benefits of a carbon-filled porous anode developed in our recent studies in a unit cell. First, we developed a new tubular cell assembly comprising an anode, a thin matrix, and a tubular cathode with a certain number of holes in its surface. By employing a reference electrode, we measured the resistance and I-V-P characteristics of the anode, a cathode with a single hole, and the entire cell. As a result, we found that the cathode performance was degraded by resistance to ionic mass transfer, while the anode resistance was invariant (∼0.4 Ω cm2). By developing a semi-empirical current-potential model including an ion mass transport effect, we proved that the number of holes in the cathode surface is the key to the maximal utilization of the present anode. This eventually led to notable gains in the maximum power density to 205 mW cm-2 at 700 °C in experiments. Lastly, a durability test was conducted to reconfirm the effect of ionic mass transfer on the power generation over time.
Despite a large number of existing studies about direct carbon fuel cells (DCFCs), sufficient power generation has remained a major technical challenge for the commercialization of DCFCs. This study was designed to implement the benefits of a carbon-filled porous anode developed in our recent studies in a unit cell. First, we developed a new tubular cell assembly comprising an anode, a thin matrix, and a tubular cathode with a certain number of holes in its surface. By employing a reference electrode, we measured the resistance and I-V-P characteristics of the anode, a cathode with a single hole, and the entire cell. As a result, we found that the cathode performance was degraded by resistance to ionic mass transfer, while the anode resistance was invariant (∼0.4 Ω cm2). By developing a semi-empirical current-potential model including an ion mass transport effect, we proved that the number of holes in the cathode surface is the key to the maximal utilization of the present anode. This eventually led to notable gains in the maximum power density to 205 mW cm-2 at 700 °C in experiments. Lastly, a durability test was conducted to reconfirm the effect of ionic mass transfer on the power generation over time.
Burning coal to generate
electricity remains an established and
economical method for the utilization of coal.[1] However, the process poses daunting challenges to the environment,
such as high emission of greenhouse gases and particulate matter.
A direct carbon fuel cell (DCFC) was considered as an ideal alternative
(to combustion) for using coal more efficiently and with less environmental
impact. In fact, DCFCs are known to operate with near 100% thermal
efficiency and with an ease of CO2 capture relative to
that of coal-burning industries, which has prompted a large number
of fundamental studies on DCFCs.[2−10]Theoretically, an anode reaction takes place in molten carbonate
(MC)-based DCFC systems between carbon (C) and nearby carbonate ions
(CO32–) in a pool of the MC electrolyte,
resulting in the production of CO2 and electrons,[4] as shown in eq .The carbonate ions are produced on
the cathode by the electrochemical
reduction reaction between oxygen (O2) and carbon dioxide
(CO2) in accordance with eq . They are then transported through the MC electrolyte
to the anode.[1] Because carbonate ions are
available only in the MC electrolyte, the carbon must be in simultaneous
contact with the electrolyte to produce electrons and with the anode
to collect the electrons. The mutual contact area between the fuel,
anode, and electrolyte is known as the triple phase boundary (TPB),
and it determines the activity of the anode.Likewise, eq indicates
that the gas mixture should be in contact with the cathode and electrolyte
to create and transport the carbonate ions, respectively. One may
notice that the extent of this contact can also determine the activity
of the cathode. Because the overall cell reaction is the result of
three consecutive reactions—anode reaction, ion diffusion,
and cathode reaction in series—any of the elementary reactions,
if insufficient, can limit the overall cell performance.[1]There have been extensive efforts to increase
anode and cell performance
by testing a variety of materials and structures for use as anodes
and fuels and by utilizing different types and compositions of the
electrolyte.[10−14] For instance, Kulkarni et al.[15] employed
an anode of La0.6Sr0.4Co0.2Fe0.8O3±δ (LSCF) with carbon black and
micronized graphite as fuel and reported a moderate maximum power
density (MPD) of 42 mW cm–2 at 800 °C. Because
LSCF is known to have low electronic conductivity and an unstable
anode structure in reducing atmosphere at high temperatures, porous
Ni/NiO-yttria-stabilized zirconia (YSZ) or Ni/NiO-scandium-stabilized
zirconia (ScSZ) has often been used to circumvent the drawbacks of
LSCF. Liu et al.[16] developed an anode-supported
tubular DCFC in which the anode was modified with a NiO/ScSZ functional
layer, resulting in an increase of the MPD to up to 104 mW cm–2 at 850 °C. Similarly, a Ni/samarium-doped ceria
(SDC) on an SDC electrolyte was tested as a mixed ionic and electronic
conductor (MIEC) anode, particularly for lowering the operation temperature,
but the MPD still remained below 100 mW cm–2 at
650 °C.[17] Overall, those solid MIEC
anodes on a solid electrolyte turn out not to be as effective as expected
for extending TPB sites beyond the two-dimensional anode-electrolyte
interface, even at high temperatures.Here, it is worth noting
that remarkable progress in increasing
MPD has been observed in hybrid DCFC systems using MC as a redox mediator[18] or using molten metal.[19] Similar to Ju et al.,[20] who loaded a
mixture of Sn and carbon fuel on a Ni-YSZ anode, Jayakumar et al.[19] developed a mixed fuel molten metal Sb anode/ScSz
system and reported 350 mW cm–2 at 700 °C.
That this notable result was obtained at an intermediate temperature
was attributed to the excellent function of the molten Sb as a redox
mediator (2Sb + 3O2– → Sb2O3 + 6e and Sb2O3 + 3/2C → 2Sb
+ 3/2CO2), relative to the performance of other low-melting
point metals, such as Bi, Si, and Pb. Clearly, this system requires
a perfect suspension of fuel particles in the melt of Sb and Sb2O3 for the maximal utilization of Sb, just as with
the concept of the aforementioned TPB, which limits the use of some
fuels in this system (such as a sugar char, which has a density similar
to that of the molten metal). Jiang et al.[18] loaded a mixture of fuel and carbonates on a Ni-YSZ anode/YSZ electrolyte
and reported that the highest MPD was 878 mW cm–2 at 850 °C. This seems to indicate that the first hurdle for
the commercialization of DCFCs has been overcome.However, it
should be recalled that the potential benefits of DCFCs
are realized only when using the direct electrochemical oxidation
of carbon in the solid phase, not through the conversion of carbon
to gaseous fuels such as CO. It is interesting to notice that the
previous promising improvements in MPD have been attained mostly at
high temperatures (>700 °C), where most carbon fuels are converted
to CO through the Boudouard reaction (C + CO2 = 2CO).[10,18,19] This implies that MPD still remains
a technical challenge in DCFCs, which turned our attention back to
fundamental questions of how much MPD could increase and what the
intrinsic limit would be without any contribution from gaseous fuels.Recently, we proposed two novel ideas to increase the MPD to the
limit based on TPB formation in a porous Ni anode. For example, Li
et al.[21] directly generated three types
of pure carbon nanoparticles in a porous Ni anode through thermal
decomposition of gaseous hydrocarbons and then tested a carbon-filled
porous anode with a three-electrode MC–DCFC system at 700 °C.
The results were promising for increasing the anode MPD well beyond
500 mW cm–2 if the best control of morphology and
crystallinity of carbon could be achieved. Another trial[22] was used to flow graphite powder–MC slurry
through a porous Ni anode at 700 °C, which enabled a notable
increase of the anode MPD to 645 mW cm–2 upon the
best size matching between the fuel particles and anode pores in a
pool of MC. The enhanced anode performance was attributed to a dramatic
increase of TPB sites and the resulting decrease of anode resistance
below 0.1 Ω cm2. It should be noted that this result
was attained simply by increasing the physical contact between the
fuel particles and anode, even with pure carbons that contain the
least amounts of gaseous species and catalytic ashes, such as in conventional
coals or biomass.[23] This suggests that
the intrinsic limit of anode MPD from the solid-state electrochemical
oxidation of carbon is comparable to the MPD level of hydrogen-fueled
fuel cells [e.g., MPD > 978 mW cm–2 for a proton
exchange membrane fuel cell (PEMFC)[24]].
Another potential benefit of our approaches would be to enable an
easy, at least intermittently continuous fuel supply, which might
solve the other critical challenge with DCFCs (i.e., long-term operation).[25,26]Noting that our previous studies[21,22] were all about
fuel-filled anodes and their performance, the initial objective of
this study was to verify the performance increase at the level of
a full cell. We developed a new tubular cell assembly consisting of
a carbon-filled porous anode, a thin matrix, and a tubular cathode
with a certain number of holes for carbonate ion transport. In a series
of preliminary experiments, we measured the resistance of the components
and of the full cell to verify that the cathode with a single hole
exhibited a high level of mass transfer resistance, in fact, the major
part of cell resistance. Based on the result, we developed a semi-empirical
current–potential model to figure out how many holes are most
effective for reducing the cathode resistance and why. Finally, we
performed a durability test for the two cells with a single hole or
multiple holes to reconfirm the effect of ionic transport passage
on MPD over the lifetime.
Materials and Methods
The present tubular
cathode-supported full cell was prepared as
follows. First, a 7.2 mm-diameter, closed-bottom silver tube was employed
as a cathode. Different numbers of 1.0 mm holes were drilled into
the side walls of silver tubes, starting from a single hole for case
1 to 12, 24, and 84 holes for cases 2, 3, and 4 (Figure a), respectively, to control
the total area of openings available for ion transport. For comparison,
a flat-plate silver cathode used in our previous work[21−23] was also considered. Second, a 1.2 mm thick porous Ni foam with
a pore size of 50–75 μm was tightly wrapped on the silver
tube, the surface of which was coated with a 1.2 mm thick ceramic
matrix separating the two electrodes. Third, the anode–matrix–cathode
assembly was installed in a quartz tube and then placed in the middle
of a hot-wall tube furnace maintained at 500 °C. Propane gas
was made to flow through the annular space of Ni foam at a rate of
55 mL min–1, leading to the formation of carbon
nanofibers (CNF) in the pore region of the Ni foam. This thermal decomposition
reaction was set to continue until the carbon loading in the Ni networks
reached 5% by mass. The carbon-loaded porous Ni foam was detached
from the cathode-supported anode assembly and then cut into slices
for the subsequent visualization using a scanning electron microscope
(Carl Zeiss AG—Supra 25, 10 kV). Figure S1 in the Supporting Information compares the scanning
electron microscopy (SEM) images of the Ni foam before and after the
carbon formation. Details of the carbon production method are available
elsewhere.[21]
Figure 1
Features of the present
tubular MC–DCFC system: (a) design
change in the cathode tube, (b) experimental setup of the entire system
consisting of a WE, a CE, and an RE, and (c) schematic illustration
of the difference in oxidant gas supply to the cathode (CE) between
the present cell and the previous system.
Features of the present
tubular MC–DCFC system: (a) design
change in the cathode tube, (b) experimental setup of the entire system
consisting of a WE, a CE, and an RE, and (c) schematic illustration
of the difference in oxidant gas supply to the cathode (CE) between
the present cell and the previous system.Figure b shows
the setup of the present MC–DCFC system, which includes a carbon-filled
full cell, a reference electrode (RE), and a gas supply tubing assembly
for each electrode. The full cell (indicated with a dotted box) is
schematically depicted in Figure c for comparison with the flat-plate cathode. Note
that a 3 mm diameter copper tube was inserted into and then spot-welded
to the cathode tube [used as a counter electrode (CE)] so that the
Cu tube itself could be used as the electrical connection of the cathode
and as the gas supply tube as well. The outer anode of the full cell
was used as a working electrode (WE) to create electrons after being
spot-welded to a flat-plate silver current collector. The RE, which
was composed of a silver sheet and spot-welded to a silver wire, was
sheathed in a 12 mm diameter alumina tube. Note that the RE is positioned
20 mm away from the full cell, which is sufficiently far away from
the cell (i.e., the recommended greater than three electrolyte thicknesses)
to eliminate any influence of the gradient in electrical potential
near the electrodes.[27]After mixing
lithium carbonate (Li2CO3) and
potassium carbonate (K2CO3) at a mole ratio
of 62:38, 350 g of the mixture was heated to melt at 700 °C in
the large alumina container, as shown in Figure b. A portion (50 mL min–1) of carbon dioxide (CO2) gas was supplied equally to
the CE and the RE to flush out any residual gases before the experiment,
while preheating the system. When the system temperature reached 700
°C, a gas mixture of CO2 and O2 (mole ratio
2:1) was supplied to the CE and the RE. Because the full cell (including
the cathode) was fully submerged in the liquid electrolyte (MC), the
gas mixture provided through the inner Cu tube was bubbled in the
MC inside the cathode tube (as depicted in the left figure of Figure c) with the aim of
increasing the physical contact between gas bubbles and the inner
wall of the cathode. In contrast, a flat-plate silver cathode identical
to the silver plate in the RE was also positioned within the MC so
that the gas mixture blown into the MC should be diffused into the
cathode through the MC pool to produce carbonate ions (refer to the
right figure in Figure c).To characterize our MC–DCFC system, we measured
the difference
in electrical potential between the WE and RE, the anode potential
versus RE (Va), and the cathode potential
(VC) between CE and RE by running an SP-150
potentiostat/galvanostat analyzer (NeoScience, Korea) at a scan rate
of 1 mV s–1. Similarly, the difference in cell potential
(V) between the WE and CE was measured as a function
of the electrical current between the WE and CE. The electrical current
density (I) was obtained by dividing the measured
cell current by the apparent contact area (A) between
the cathode and anode (ca. 0.61 cm2). As such, the power
density (P) of the cell was calculated simply by
multiplying the values of I and V. Moreover, electrochemical impedance spectroscopy (EIS) was performed
on the full cell setup using the SP-150 analyzer in the frequency
range of 0.06–80 kHz. Figure S2 in the Supporting Information describes the transient behaviors of
temperature increase and open-circuit voltages (OCVs) during the preparation
process prior to the I–V measurement.
After the oxidant gas mixture was introduced to the CE and RE, the
cell potential began to increase rapidly and then levelled off around
the OCV in 90 min regardless of the cases. Then, the system was maintained
at the OCV condition for 40 min before starting I–V measurement. After the I–V measurements, a durability test was conducted
for the cells by monitoring the cell potential with time while maintaining
the current density constant. We also monitored the composition of
gas evolving from the anode under the MC during the durability test
by connecting the exit of the carrier gas (see Figure b) to a gas chromatograph (Master GC, Dani
Instruments).
Results and Discussion
Comparative Analysis of the Case 1 Cell Performance
for Component-Resolved Diagnosis
The present tubular cell
for case 1 was characterized by comparison with our previous three-electrode
system,[21−23] in terms of the resistance of the anode, cathode,
and cell, as well as the associated MPD.When it comes to the I–V–P profiles
in Figure a, case
1 shows a much more gradual slope of the profile of the cell potential
(VCell) relative to the current density
(I) than in the previous cell with no bubbling. This
resulted in a 3-fold increase of cell MPD (as denoted by the solid
triangles ▲ vs circles ●). Then, we carried out an additional
case study on the previous system to clarify the role of oxidant bubbling,
in which the oxidant gas supply tube was repositioned under the MC
surface to bubble the gas in the vicinity of the submerged flat-plate
cathode. As a result, bubbling the oxidant gas was determined to double
the MPD (from 11.3 to 22.8 mW cm–2), as denoted
by the solid squares ■ versus circles ● in Figure a. It is noted that
the I–V profiles are both
seemingly linear. Because the slope in the straight section of the I–V curve represents the Ohmic resistance
of the cell,[28−30] the observed increase of MPD for case 1 is likely
attributable to a decrease in cell resistance, presumably resulting
from the shortened anode-to-cathode distance between the electrodes
(Le: from 20.0 to 1.2 mm) and from bubbling
of the oxidant gas as well.
Figure 2
Electrochemical characteristics of the present
full cell of case
1 in comparison with that of the previous half-cell with a flat-plate
cathode in terms of (a) I–V–P profiles, (b) EIS profiles, and (c) electrode
potentials at the anode and cathode vs I.
Electrochemical characteristics of the present
full cell of case
1 in comparison with that of the previous half-cell with a flat-plate
cathode in terms of (a) I–V–P profiles, (b) EIS profiles, and (c) electrode
potentials at the anode and cathode vs I.To clarify this causal relationship, EIS measurements
were performed
under the OCV condition, and the results of the three cases are compared
in Figure b. It should
be noted that the left x intercept of the EIS semicircle
for case 1, representing the electrolyte or solution resistance (Relec), is substantially shifted to the left
from the values of the flat-plate cathode with or without bubbling
(from 1.93 to 1.95 to 0.03 Ω cm2 for case 1). Also,
the change in semicircle diameters indicates that the charge transfer
resistance (RCT)[31−33] is slightly
decreased from 0.14 to 0.08 Ω cm2 upon bubbling.To investigate further the behavior of the resistance with increasing I, we measured the electrical potential of the anode and
cathode as a function of I using an RE, as shown
in Figure c. Interestingly,
the anode potential curves for the two cases are almost identical,
manifesting the fact that the anode is unchanged. However, there is
a large difference in the VC profile.
In contrast to the flat-plate cathode, the present cylindrical cathode
in case 1 sustains a high level of VC to
achieve a higher current density, such that the cell potential (VCell) corresponding to the potential difference
(VC – Va) can only slightly decrease with the current density until I ≤
100mA cm–2.Here, the apparent resistance
of each electrode was calculated
directly from the slope of each potential curve. As a result, the
cathode resistance (RCat) decreases from
14.1 Ω cm2 for the previous cell without bubbling
to 7.8 Ω cm2 in the previous cell with bubbling and
to 4.7 Ω cm2 for case 1, while the anode resistance
(Ran) is almost invariant (∼0.4
Ω cm2) in the three cases. Likewise, the cell resistance
(RCell) decreases from 17.2 to 6.7 Ω
cm2 for case 1, as shown in Figure a. Combining these comparative analysis results,
one may conclude that the bubbly flow of gas seems to enhance the
cathode performance through the terms RCT and RCat, probably by increasing contact
with the cathode via the convective transport of gas.[34−36] Another thing to note is that this reduction of RCat is approximately two-thirds of that observed in case
1, suggesting that gas bubbling plays a considerable role in the cell
operation. Also, in comparison with the previous cell, the present
tubular cell for case 1 is obviously effective in further decreasing
the resistance of the cathode and of the cell. However, the cell resistance
is still as high as 6.7 Ω cm2 due to being largely
determined by the cathode. According to Jiang et al.,[10] a remarkable improvement in MPD was found upon reducing
the cell resistance to <1 Ω cm2, which suggests
that the cathode of case 1 should be improved further to lower the
cell resistance.
Transport of Carbonate Ions as a Rate-Limiting
Step
Despite the clear progress in cell performance, the
power output of the full cell of case 1 was not satisfactory. To better
understand the rate-limiting step, we considered the mass balance
of carbonate ions inside the cathode tube from generation to transport
toward the anode aswhere is the rate of change in the mole concentration
(CR*) of carbonate ions inside the cathode tube with a volume
∀, ġ is the generation rate, and Ṫ is the transport rate of ions through the holes
in units of moles per second. Based on the Faraday law, ġ is calculated directly from the measured current density I as ġ = IA/nF, where F is the Faraday constant and n is the number of electrons in the cathode reaction in eq .Recalling the low
value of RCT in the preceding section,
the cathode reaction is simplified to consist of three successive
sub-step reactions: diffusive transfer of the oxidant (i.e., O2 + 2CO2 in eq ) into the cathode, surface electrochemical conversion of
the oxidant to reductant (i.e., carbonate ions), and diffusive transfer
of the reductant into the MC from the cathode surface. At a certain
current, each of the sub-step reactions would take place at a single
(identical) rate to yield a stable (steady-state) current asHere, mR and mO represent the mass transfer coefficients of
the reductant and oxidant, respectively (denoted by the subscripts
R and O, respectively), CR,S and CO,S are the concentrations of the species at
the surface, respectively, and CO* is the bulk concentration of
the oxidant inside the cathode tube. The terms CR* and CO* are assumed
to be spatially uniform inside the cathode due to vigorous mixing
of the MC by bubbly flow.The transport of carbonate ions is
normally driven by the electrolyte
potential gradient across the matrix. The local electrolyte potential
φl can be produced by the existence of charge carriers
(i.e., carbonate ions in this case), according to the Gauss law. In
the Appendix, we described how to derive mathematical
expressions on the spatial distribution of φl, particularly
in the matrix. According to eq , the difference in the potential that drives the ions from
the cathode hole to the anode surface is in linear proportion to CR* in the cathode tube. Hence, the ionic transport rate Ṫ through the holes can be expressed in connection with the electrical
mobility (uion) and field strength (−dφl/dx) of ions aswhere nh represents
the number of holes, Ah is the opening
area of a single hole, and the electrolyte potential at the anode
surface φl(0) is assumed to be zero in consideration
of the fast anodic reaction.Because at a steady state, the Faradaic current
density I can be expressed using the systematic parameters
by substituting eq into eq 5 and equating eqs and 5.Note that the left-most term on the
right side of eq represents
the potential gradient
(), which is in linear proportion to CR*, and thus, . Here, it should be noted that upon increasing I with a fixed nh, the ion concentration CR* increases in proportion to I1/2, which
might create mass transfer overpotential and cause a rapid drop of VC and VCell. Inversely,
the larger nh gives rise to lowering of
the growth of CR* with increasing I, suggesting
that the number of holes nh is a key factor
determining the current density and system performance.This
expectation became the motivation to increase the nh further up to 84, as stated in Section , without altering the other
parameters. Recalling that cases 2–4 correspond to nh = 12, 24, and 84, respectively, we repeated
the measurement of the I–V–P profiles for the three cases and compare
them in Figure . As
a result, the MPD of the cell is obviously increased from 35 mW cm–2 for case 1 to 80, 130, and 205 mW cm–2 for cases 2–4, respectively, in response to a gradual decrease
of the slope of the I–V profile.
From this slope, the cell resistance was correspondingly calculated
to be 2.4, 1.26, and 1.09 Ω cm2, respectively. At
the same time, MCD was considerably increased, for example, reaching
1040 mA cm–2 for case 4. Because the only difference
lies in the cathode, specifically in its ionic transport capacity,
the increase of cell performance indicates that the cell resistance RCell is dominated by the cathode resistance RCat, which could be progressively improved by
increasing nh.
Figure 3
Comparison of I–V–P characteristics
of the present full cell in cases 2–4.
Comparison of I–V–P characteristics
of the present full cell in cases 2–4.To confirm this speculation, we measured the cathode
potentials
versus RE (VC) against the current density
for the three cases. In Figure , the profiles of VC look similar
to the corresponding profiles of VCell in Figure . From
the slope of each profile of VC, we calculated
the cathode resistance to confirm that the RCat decreases from 1.9 Ω cm2 for case 2 to
0.75 and 0.6 Ω cm2 for cases 3 and 4, respectively.
Note that the values of RCat in cases
2–4 are 78.5, 63.5, and 55.0% of the RCell, respectively, such that the present cathode becomes the
major factor determining the cell performance. More specifically,
the RCat was halved by doubling the nh in cases 2 and 3. This implies that the cathode
of case 2 does not have enough capacity to transmit as many ions as
required for the high current. This results in rapid decreases of
the cathode and cell potentials, as shown in Figures and 4. In cases 3–4,
however, the 4-fold increase of nh does
not display such a dramatic decrease of RCat observed in cases 2–3, meaning that the ionic transport capacity Ṫ in case 3 is apparently large enough to handle
a large number of ions, such that the intrinsic ion generation rate ġ of the cathode might begin to limit the cathode
reaction rate in terms of resistance.
Figure 4
Comparison of cathode potential-to-current
density profiles in
cases 2–4.
Comparison of cathode potential-to-current
density profiles in
cases 2–4.What follows is an equation-based discussion on
the coupling of
the nh and the cell resistance RCell through the CR*. On the cathode
surface, the conversion reaction actually occurs by competition between
the forward reaction in eq and its backward (reverse) reaction.[37] Thus, the net reaction rate is expressed bywhere kf and kb are the reaction rate constants for the forward
and backward reactions, respectively, k0 is the standard reaction rate constant, and V0 is the formal potential. Accounting for vigorous mixing in
the cathode, the two surface concentrations CO,S and CR,S can be correspondingly
approximated to CO* and CR* (see eq ), in connection with eq (representing ); therefore, eq provides a functional relationship between nh and the cathode potential Vc. In case 1 (nh = 1), the CR* grows the fastest (with increasing I according
to eq ) among the four
cases. However, CR* is subjected to the minimal growth in case
4. In addition, both kf and kb are a sole function of Vc as and . This implies that kf and kb are both invariant between
the cases when VC is fixed. As such, it
is evident that increasing nh from cases
1 to 4 gives rise to an increase in the total current at a constant Vc by promoting the forward reaction in terms
of kCO* and impeding
the backward reaction in terms of kbCR*. Conversely, the potential VC at a fixed
current will decrease more rapidly in case 1 than in other cases to
compensate the loss of net current resulting from decrease of CO* and increase of CR*. This behavior of VC in case 1 would also appear to increase kf and decrease kb to sustain I [refer to the exponents in eq (−α vs 1 – α)].To support
the points proposed in the preceding discussion, we
paid attention to the functional relationship in eq : . From Figures a and 3, we extracted
the values of current density (I1/2) at VCell = 1/2VOC for
the four cases and calculated the relative concentration of ions,
that is, CR,*/CR,*. In Figure , we plotted the relative concentration against nh for comparison with the behavior of RCat. As a result, the relative concentration is well-correlated
with the cathode resistance and shows a similar trend of decrease
with the power of nh: . It seems obvious that securing sufficient
ion transport passage is essential for suppressing the mass transfer
resistance of the cathode through the lower accumulation of ions in
the cathode.
Figure 5
Variations of the relative concentration of carbonate
ions in the
cathode (CR,*/CR,1*) and the relative
cathode resistance (RCat,/RCat,1) with respect to the number of
holes (nh).
Variations of the relative concentration of carbonate
ions in the
cathode (CR,*/CR,1*) and the relative
cathode resistance (RCat,/RCat,1) with respect to the number of
holes (nh).Next, we repeated the EIS measurements for cases
2–4 to
measure RCT and Relec, which were then incorporated into the preceding data
set of the elements and system that involves Ran, RCat, RCell, and MPD. After this, all of the aforementioned data were
plotted against nh in Figure in an attempt to summarize
the responses of the elements and system. Note that the condition
in which the cathode resistance largely dominates the cell resistance
shows a sharp drop with nh between cases
1 and 2. Moreover, after reaching 79% above the anode resistance in
case 3, the cathode resistance shows a slight decrease in case 4.
In the latter two cases, because the cathode resistance is now less
than twice as large as the anode resistance, the term Ran begins to play a role in determining the cell resistance
and MPD. The figure also shows that the resistances Ran and Relec are almost invariant,
as expected from the fact that the anode and anode-to-cathode distance
have not been changed. Overall, employing a metallic tubular cathode
with a limited number of holes provides better experimental evidence
for elucidating the role of the ion transport cross-section area in
cathode resistance, as compared to the conventional porous cathodes
used in DCFC systems.
Figure 6
Effects of nh on the resistances
of
the elements and the system as well as the MPD.
Effects of nh on the resistances
of
the elements and the system as well as the MPD.
Long-Term Stability of the DCFC
Long-term
stability of DCFCs is one of the most critical concerns when developing
a new type of DCFC system. For this stability test, we monitored the
cell potential with increasing time at a constant current density
of 50 mA cm–2 for cases 1 and 4. Figure shows that the cell potential
in case 1 decreases gradually from 0.6 to 0.3 V for the initial 50
min and then rapidly falls down to 0 V at 100 min. We believe that
this behavior is closely related with the gradual accumulation of
reductant species (carbonate ions) in the cathode, which leads to
a rapid drop of cell potential far before the complete consumption
of carbon fuels (see Section ). In contrast, the potential in case 4 is maintained
at around 0.9 V for 160 min and then gradually declines to 0.78 V
for the next 150 min, followed by a cliff descent to 0 V at 314 min.
Notably, the initial values of the potential in cases 1 and 4 (0.6
and 0.9 V, respectively) appear to be consistent with the potential
values at I = 50 mA cm–2 in Figures a and 3. However,
the cliff descent of cell potential in case 4 seems unnatural. Taking
a close look at the raw data file for case 4, we realized that the
sudden potential decrease from 0.77 to 0.58 V activated a safety protocol
of the SP-150 analyzer to stop recording data. It is still unclear
whether the sudden decrease of cell potential is real or a sort of
artifact in the course of the emergency protocol (because the recorded
time was unchanged during the last potential change). Excluding this,
more importantly, the cell potential in case 4 was maintained above
0.77 V much longer than in case 1. As such, the unexpected accumulation
of carbonate ions in cathode may be detrimental to MPD and stable
operation of the DCFCs.
Figure 7
Long-term stability test results for the two
cells of cases 1 and
4 at a fixed current density.
Long-term stability test results for the two
cells of cases 1 and
4 at a fixed current density.Lastly, it is interesting to verify whether or
not any gaseous
fuels were involved in the performance improvement in cases 1 to 4
including the enhanced durability, as shown in Figure . Since the oxidant gas mixture supplied
to the RE and CE flows only through the alumina tube, the carbon fuels
inside the anode become the only source of gaseous fuels such as CH4, H2, and CO[23] filling
in the DCFC chamber (see Figure b). Furthermore, our carbon fuel is pure CNF with negligible
volatile species, suggesting that the Boudouard reaction of CNF with
CO2 is the only possible pathway to produce CO inside the
anode. Thus, we analyzed the composition of exhaust gas from the chamber
using a gas chromatograph (see Section ) with a focus on CO, in the beginning, middle, and
near end of the durability test for case 4. As a result, there was
no sign of CO, but only CO2 was found as a major species
carried by Ar gas. The CO2 concentration was almost invariant
for ∼2.3% with time. The absence of CO in our DCFC chamber,
however, does not necessarily indicate no contribution of CO to the
MPD because the CO may be (electrochemically) oxidized to CO2 before exiting the porous anode due to its higher reactivity than
that of solid carbon.[10]For the Boudouard
reaction, Jalalabadi et al.[38] conducted
a thermogravimetric analysis (TGA) for various
raw coals and chars by flowing CO2 gas and found that a
char sample fabricated from a bituminous coal exhibits no mass decrease
with the temperature increasing to up to 700 °C, meaning that
the bituminous char is kinetically inert to gaseous CO2 at the temperature. It is noteworthy that the bituminous char among
the samples is the closest in nature to our CNF because it has the
least amount of alkaline (catalytic) species in ash with no volatiles.
Therefore, we conjecture that our CNF remain solid at 700 °C,
not being converted to CO even at a partial pressure of CO2 of 1 atm. In addition, the present anode was fully submerged in
MC liquid, which is an unfavorable condition for the carbon conversion
to CO as compared with the circumstance in TGA. Because of the buoyancy
and low solubility of CO2 gas in MC at 700 °C (see
Table 1 of Claes et al.[39]), the CO2 gas produced by the anodic reaction would be sent to the
DCFC chamber rather than participate in the carbon conversion. Last,
since the durability tests were performed using the same anode at
a constant current density, there should be no difference in production
rates of CO2 and/or CO (if any) in the anode between the
cases, contrary to the results in Figure . To sum up, all the foregoing discussion
strongly indicates that the CNF are mainly (electrochemically) oxidized
to CO2 in the solid phase and the improved performance
of case 4 does not relate to gaseous CO.
Conclusions
In this study, we developed
a new tubular cell assembly comprising
a carbon-filled porous anode, a thin matrix, and a tubular cathode
with a certain number of holes for carbonate ion transport. In comparison
with our previous half-cell consisting of an equivalent anode positioned
20 mm from a flat-plate cathode, the present full cell was initially
anticipated to show excellent power generation by shortening the anode–cathode
distance as well as bubbling the MC liquid. However, the first cell
with a single hole was not quite as successful as expected, even though RCT and Relec were
both reduced as expected. A resistance analysis by component revealed
that the cathode exhibited a limitation in the mass transfer of carbonate
ions toward the anode. By developing a distinctive current-potential
model incorporating the ionic transport effect, we were enabled to
propose that securing sufficient ion transport is the key to solving
the problem, and finally, we were able to prove it. Specifically,
simply increasing the number of holes was effective for lowering the
cathode resistance to the vicinity of the anode resistance (∼0.4
Ω cm2). This led to a significant increase of the
MPD to 205 mW cm–2. Unlike with conventional porous
cathodes, the present cathode enabled the experimental determination
of the significance of mass transport resistance in a DCFC by confining
the ion transport to the predetermined holes. Despite the obvious
technological progress described above, there is no objection that
the DCFC technology is still far from its commercialization. Lastly,
we would like to remind the state-of-the-art achievements in PEMFC
as a goal we aim for: MPD > 978 mW cm–2 for 10,000
cycles[24] and minimal loss of durability
over rapid freezing/melting cycles for a five cell stack of PEMFCs.[40]