Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFC
The Holby–Morgan model of electrochemical degradation in platinum on a carbon catalyst is studied with respect to the impact of particle size distribution on aging in polymer electrolyte membrane fuel cells. The European Union harmonized protocol for testing by non-symmetric square-wave voltage is a...
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2025-06-01
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| author | Victor A. Kovtunenko |
| author_facet | Victor A. Kovtunenko |
| author_sort | Victor A. Kovtunenko |
| collection | DOAJ |
| description | The Holby–Morgan model of electrochemical degradation in platinum on a carbon catalyst is studied with respect to the impact of particle size distribution on aging in polymer electrolyte membrane fuel cells. The European Union harmonized protocol for testing by non-symmetric square-wave voltage is applied for accelerated stress cycling. The log-normal distribution is estimated using finite size groups which are defined by two parameters of the median and standard deviation. In the non-diffusive model, the first integral of the system is obtained which reduces the number of differential equations. Without ion diffusion, it allows to simulate platinum particles shrank through platinum dissolution and growth by platinum ion deposition. Numerical tests of catalyst degradation in the diffusion model demonstrate the following changes in platinum particle size distribution: broadening for small and shrinking for large medians with tailing towards large particles; the possibility of probability decrease as well as increase for each size group; and overall, a drop in the platinum particle size takes place, which is faster for the small median owing to the Gibbs–Thompson effect. |
| format | Article |
| id | doaj-art-c048faffba274936a66eeddb603cca7a |
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| language | English |
| publishDate | 2025-06-01 |
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| spelling | doaj-art-c048faffba274936a66eeddb603cca7a2025-08-20T02:47:22ZengMDPI AGTechnologies2227-70802025-06-0113726210.3390/technologies13070262Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFCVictor A. Kovtunenko0Department of Mathematics and Scientific Computing, Karl-Franzens University of Graz, NAWI Graz, Heinrichstr. 36, 8010 Graz, AustriaThe Holby–Morgan model of electrochemical degradation in platinum on a carbon catalyst is studied with respect to the impact of particle size distribution on aging in polymer electrolyte membrane fuel cells. The European Union harmonized protocol for testing by non-symmetric square-wave voltage is applied for accelerated stress cycling. The log-normal distribution is estimated using finite size groups which are defined by two parameters of the median and standard deviation. In the non-diffusive model, the first integral of the system is obtained which reduces the number of differential equations. Without ion diffusion, it allows to simulate platinum particles shrank through platinum dissolution and growth by platinum ion deposition. Numerical tests of catalyst degradation in the diffusion model demonstrate the following changes in platinum particle size distribution: broadening for small and shrinking for large medians with tailing towards large particles; the possibility of probability decrease as well as increase for each size group; and overall, a drop in the platinum particle size takes place, which is faster for the small median owing to the Gibbs–Thompson effect.https://www.mdpi.com/2227-7080/13/7/262polymer electrolyte membrane fuel cellaccelerated stress testplatinum catalyst degradationparticle size distributionmodeling and numerical analysis |
| spellingShingle | Victor A. Kovtunenko Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFC Technologies polymer electrolyte membrane fuel cell accelerated stress test platinum catalyst degradation particle size distribution modeling and numerical analysis |
| title | Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFC |
| title_full | Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFC |
| title_fullStr | Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFC |
| title_full_unstemmed | Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFC |
| title_short | Impact of Log-Normal Particle Size Distribution in Holby–Morgan Degradation Model on Aging of Pt/C Catalyst in PEMFC |
| title_sort | impact of log normal particle size distribution in holby morgan degradation model on aging of pt c catalyst in pemfc |
| topic | polymer electrolyte membrane fuel cell accelerated stress test platinum catalyst degradation particle size distribution modeling and numerical analysis |
| url | https://www.mdpi.com/2227-7080/13/7/262 |
| work_keys_str_mv | AT victorakovtunenko impactoflognormalparticlesizedistributioninholbymorgandegradationmodelonagingofptccatalystinpemfc |