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Kinetics of the Ni-YSZ SOC electrode Mogens Mogensen
Fuel Cells and Solid State Chemistry Division
Risø National Laboratory for Sustainable Energy Technical University of Denmark – DTU
Presented at KIT, February 4th, 2011
Outline
1. The disagreement in literature 2. Electrode polarisation resistance and electrode reaction rate
limitations 3. What the Butler-Volmer equation describes 4. i-V relationships for different impedance elements 5. Concluding remarks
Polarisation resistance
Impedance spectrum of a Ni-YSZ cermets in 3 electrode set-up at 1000 °C in H2 + 3 % H2O. Based on Primdahl and Mogensen, J. Electrochem. Soc., 146 (1999) 2827
0.0 0.1 0.2 0.3 0.4
0.0
0.1
0.2
I II III
1 Hz
100 Hz10 kHz-Z", Ω
cm2
Z', Ωcm2
TPB processes
Gas diffusion
Gas conversion
Polarisation resistance
Typical impedance spectrum of a of technical Ni/8YSZ cermet electrode at 950 °C in H2 with 5 % H2O. Electrode area is 1 cm2. The anode consists of 47 vol % Ni and 53 vol % YSZ of solid content. From V. Sonn, A. Leonide, and E. Ivers-Tiffée, J. Electrochem. Soc., 155 (2008) B675.
Electrode reaction rate limitations • Often 2 concentration impedance arcs are observed, a small
diffusion arc (summit freq. 10 – 100 Hz) arc and a larger conversion arc (1 -10 Hz).
• Often 2 TPB ion transfer process are seen for H2/H2O/Ni/YSZ cermet electrodes, see e.g. V. Sonn, A. Leonide, and E. Ivers-Tiffée, J. Electrochem. Soc., 155 (2008) B675. An arc reflecting the parallel transport of O2- and e- in the region near the electrolyte, and an arc due to ion transfer across or around the TPB. Summit frequencies depend on temperature and structure.
• Activation energies from 0.5 - 1.7 eV have been reported • Dependencies of Rp on partial pressures of water and
hydrogen vary a lot. The H2 anodic oxidation rate often increases with pH2O!! It seems very sensitive to impurities in materials as well as in the gas phase.
Modeling scheme for a porous two-phase composite electrode transmission line model.
Types of polarisation resistance
The area specific resistance, ASR, may be broken down into five contributing area specific polarisation resistances:
ASR = Relyt + Rconnect + Rp;elchem + Rp;diff + Rp;conver
Electrode reaction overvoltage or activation overvoltage
• Activation overvoltage is an unspecific term used when you do not know what you have at hand. There may be many different reasons for electrode reaction rate limitations at an electrode. e.g.:
• adsorption of reactant molecules at the electrode • bond breaking in the reactant molecule • surface diffusion of reaction intermediates from the catalytic sites to
the three phase boundary (TPB) line • diffusion of ions through the bulk of electrode particles with mixed
conduction • conduction through or around segregated phases at the surface/at
the TPB • desorption of reaction products • transfer of ions across the electrode/electrolyte interface • transfer of electrons from electrode to molecule
The current density in low temperature electrochemistry is some times well described by the Butler - Volmer equation:
( )
⋅⋅−
−
⋅⋅−
⋅= 20 exp1expcm
ATR
FTRFii ca ηαηα
Activation overvoltage
η = E – E0, the difference between the actual, E = π - φ, and the equilibrium, E0 (i = 0), electrode potential; αa and αc are anodic and cathodic symmetry factors, 0 < α < 1
At low overvoltage the Butler-Volmer equation becomes linear
At high overvoltage it gets the same form as the Tafel equation:
η = a ± b x logi
using the absolute value of the current density and the ± sign for anodic and cathodic overpotentials, respectively.
Activation overvoltage
Electrolyser mode
(H2O → H2 + ½ O2)
Fuel cell mode
(H2O ← H2 + ½ O2) 0
200
400
600
800
1000
1200
1400
1600
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5
i [A/cm 2 ]
Cel
l vol
tage
[mV]
1000 °C 850 °C
i–V curves for a Risø SOC
Activation overvoltage
• To my best knowledge there is no experimental evidence that charge transfer as described by the Butler - Volmer equation is rate limiting SOC electrode reactions above 700 °C!
• Further, the “bottle neck” theory - i.e. only one rate determining step is present at a given condition – is often taken for granted and is actually a prerequisite for the simple Tafel / Butler - Volmer analysis. This is very seldom seen in the case of SOCs and not common in electrochemistry.
Example: Solid Oxide Electrolyser Cell
21-aug-2008 Title of the presentation 13
Operating conditions: 750 °C -0.25 A/cm2
gas to LSM-electrode: O2 (10 l/h) gas to Ni-electrode: 70% H2O + 30 % H2 (18 l/h) Cell area: 16 cm2
Performance decreases during electrolysis operation (Søren Højgaard Jensen PhD work)
Impedance Spectra Measured During Electrolysis Operation
21-aug-2008 Title of the presentation 14
DRT of Impedance Spectra Measured During Electrolysis Operation
21-aug-2008 Title of the presentation 15
DRT-theory: H. Schichlein, A. C. Müller, M. Voigts, A. Krügel, and E. Ivers-Tiffée, J. Appl. Electrochem., 32, 875 2002.
Impedance Spectra Measured Before and After Electrolysis Operation at OCV
21-aug-2008 Title of the presentation 16
gas to Ni-electrode: H2 with either 5% or 20% H2O gas to LSM-electrode: air before electrolysis and O2 after electrolysis
Impedance Spectra Measured Before and After Electrolysis Operation
21-aug-2008 Title of the presentation 17
Z’ is the slope
Z’ ∆ is the difference between the two slopes
is a Ni-electrode impedance characteristic Z’ ∆
Characteristics
21-aug-2008 Title of the presentation 18
Characteristics
21-aug-2008 Title of the presentation 19
…based on gas shifts at the LSM-electrode from air to O2
Impedance Spectra Measured During Electrolysis Operation
21-aug-2008 Title of the presentation 20
...too many variables in an equivalent circuit model
What contribute to these impedance spectra? ...LSM-electrode, Ni-electrode, Electrolyte and Wire inductance
Difference spectra (x h – 3 h)
21-aug-2008 Title of the presentation 21
ADIS Measurements here without model lines
...the spectra reflect changes in the Ni-electrode impedance
...fewer variables to model the spectra.
Which Impedance Element do Best Model the Ni-electrode Impedance?
21-aug-2008 Title of the presentation 22
( )( )
( )01
RQRQ n
RZ
jω ω=
+ ?
( )01Ge
Ge n
RZjω ω
=+
?
Impedance spectra measured before and after electrolysis operation
21-aug-2008 Title of the presentation 23
( ) ( ) 3
3( )
0 031 1xh h
xh hRQ xh n n
xh h
R RZj jω ω ω ω
∆ = −+ +
Impedance spectra measured before and after electrolysis operation
24
( ) ( ) 3
3
0 0 31 1xh h
Ge xh Ge hGe xh n n
xh h
R RZ
j jω ω ω ω∆ = −
+ +
Conclusion on impedance model • Analysis of differences in impedance spectra before and after an
operation period can be used to determine how much the electrodes are affected by the operation period
• Modeling of differences in impedance spectra may reduce the
number of model variables. This can enhance the modeling accuracy
• A Gerischer impedance element model the Solid Oxide Fuel Cell Ni/YSZ-electrode impedance more precise than a (RQ)-element
Polarisation resistance
Nyquist plots of impedance spectra obtained for a symmetric cell (Ni-ScYZ/ScYZ/Ni-ScYZ) as a function of re-reduction time at 650 °C after a re-oxidation period of 12 h at the same nominal temperature. From Pihlatie et al., J. Power Sources 193 (2009) 322.
Electrochemical model validation: 750°C, 20% H2O, air
56,000 Hz10,000 Hz
790 Hz
110 Hz19 Hz
0.00
0.05
0.10
0.15
0.20
0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Z' [Ω cm2]
-Z''
[ Ω c
m2 ]
FitCat IAno ICat IIDiffusionConversionCell #A
43,000 Hz5,500 Hz 680 Hz
56 Hz18 Hz
0.00
0.05
0.10
0.15
0.20
0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80
Z' [Ω cm2]
-Z''
[ Ω c
m2 ]
FitCat IAno ICat IIDiffusionConversionCell #B
Effect of materials impurities
Courtesy of Dr. Jens Høgh, Risø DTU
Model electrodes
Rea
ctio
n ra
te
Effect of materials impurity
Courtesy of Dr. Jens Høgh, Risø DTU
Model electrodes
Rea
ctio
n ra
te
Effect of materials impurity
Courtesy of Dr. Jens Høgh, Risø DTU
Model electrodes
Rea
ctio
n ra
te
Effect of materials impurity
Atomic force microscope pictures of: rim ridge (1) of impurity phases at TPB of Ni point electrodes on a YSZ after ca. 1 week test and removal Ni. A.“Impure” Ni = 99.8% Ni. B. “Pure” Ni = 99.99% Ni. (2) the YSZ surface exposed to the H2, and (3) the YSZ side of the YSZ-Ni. After K.V. Hansen, J. Electrochem. Soc., 151 (2004) A1436
1
1
2
2
3
3
a
Reaction mechanisms and sites
Concluding remarks • Some combination of the a) and d) pictures is probably the
best basis for a description of the Ni-YSZ electrode
• There is no direct experimental evidences that the i - V curves of the Ni-YSZ electrode is described by a simple Butler - Volmer equation
• The impedance of the main contribution seems be best described by a Gerischer impedance
• Can the resistance (i/V) of a Gerischer element be described by a Butter - Volmer expression? Probably no.
Thank you for your attention
Depht profiling using AES
0
20
40
60
80
100
0 10 20 30Sputter time [sek]
Con
cent
ratio
n [A
tom
ic %
]
Ni O C Cl S
AES sputter profile on Ni-wire (1000°C, 8 days 9%H2/N2)
Purity of Ni-wire 99.999%
Ni surface
Ni Point Electrode H2/H2O
-60
-40
-20
0
20
40
-1500 -1400 -1300 -1200 -1100 -1000 E [mV vs. air]
j [nA]
2.1*106
Ohm
1.8*107
Ohm
3.1*106
Ohm
Potential sweep (5 mV/s) at 700°C, H2 = 99.9%, H2O = 0.1%,
ε0 = -1259 mV vs. air
J. Høgh, K.V. Hansen and M. Mogensen, in Proc. 26th Risø Internat. Symp. Mat. Science, S. Linderoth et al., Editors, p. 235, Risø National Laboratory, Roskilde, Denmark (2005) .
-100
0
100
200
300
400
500
600
700
-1300 -1200 -1100 -1000 -900 -800 -700 -600
E [mV vs. air]
j [nA]
4.3*106 Ohm
1.2*105 Ohm
2.3*106 Ohm
Potential sweep (5 mV/s) at 700°C, H2 = 2%, H2O = 19.7%,
ε0 = -876 mV vs. air