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arxiv: 2605.14951 · v1 · pith:D4ASWOSBnew · submitted 2026-05-14 · ⚛️ physics.flu-dyn

Effect of startup modes on cold start performance of PEM fuel cells with different cathode flow fields

Pith reviewed 2026-06-30 19:59 UTC · model grok-4.3

classification ⚛️ physics.flu-dyn
keywords PEM fuel cellscold startmetal foam flow fieldserpentine flow fieldstartup modesheat productionwater productionice formation
0
0 comments X

The pith

Metal foam flow fields give PEM fuel cells better cold start performance than serpentine fields at constant 0.3 V, with variable current mode offering further gains.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tests how different cathode flow field designs and startup modes affect whether PEM fuel cells can reach operating temperature before ice blocks their gas channels in subzero conditions. It compares metal foam flow fields to conventional serpentine channels under constant-current, constant-voltage, and ramped-current protocols. The metal foam design outperforms the serpentine design at a fixed 0.3 V, and a variable-current strategy that raises current once the cell is no longer saturated produces more heat while generating less water. These choices matter because ice formation at low temperatures remains a major obstacle to deploying PEM fuel cells in cold climates without heavy external heating.

Core claim

The metal foam flow field (MFFF) PEM fuel cell exhibits superior cold start performance compared to the serpentine flow field (SFF) under constant voltage mode of 0.3 V. A variable current mode developed by considering distinct heat and water production in different phases shows that increasing current density at the unsaturated stage raises the heat production rate and lowers the water production rate, which improves cold start performance of PEMFCs.

What carries the argument

Cathode flow field geometry (metal foam versus serpentine) paired with startup mode (constant current, constant voltage, or variable current), which together set the rates of gas distribution, water removal, heat generation, and ice accumulation.

If this is right

  • Lowering voltage and raising current improves cold-start performance across flow-field types.
  • The metal foam flow field outperforms the serpentine flow field specifically under constant-voltage startup at 0.3 V.
  • Ramping current upward during the unsaturated phase increases heat output relative to water output and shortens time to successful start.
  • Performance tests combined with electrochemical characterization can track how flow-field choice and mode selection affect ice formation and recovery.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The variable-current profile could be further tuned by testing different ramp rates or trigger points to minimize total startup energy.
  • Metal foam advantages in water drainage may reduce the frequency of freeze-thaw damage over many cold starts.
  • The same phase-aware current strategy might be tested on other low-temperature electrochemical systems that suffer from product accumulation.
  • Adopting these flow fields and modes could lower the auxiliary heating power needed for reliable winter operation of fuel-cell vehicles.

Load-bearing premise

The measured performance gaps between the two flow fields and among the startup modes arise mainly from geometry and mode choice rather than from uncontrolled differences in initial membrane water content or test rig conditions.

What would settle it

Repeating the cold-start experiments on multiple cells that begin with identical membrane water content, catalyst state, and rig temperature would show whether the reported advantages of the metal foam field and variable-current protocol persist.

Figures

Figures reproduced from arXiv: 2605.14951 by Kai Sun, Qifeng Li, Rui Chen, Tianyou Wang, Wenzhe Zhang, Xingxiao Tao, Zhizhao Che.

Figure 1
Figure 1. Figure 1: Schematic diagram of fuel cell cold start experiment system. [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (a) SFF. (b) MFF. (c) Diagram of the fuel cell structure. (d) Assembled fuel cell. [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Performance of the MFFF and SFF fuel cells at room temperature: (a) Polarization curves and power density curves; (b) Net power [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Time variation of parameters of the PEMFC under the constant current mode when the initial startup temperature is -5 [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Time variation of parameters of the PEMFC under the constant current mode when the initial startup temperature is -7 [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Temperature and voltage variations under constant current mode at 0.8 A/ [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Time variation of parameters of the PEMFC under the constant current mode when the initial startup temperature is -10 [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Time variation of parameters of the PEMFC under the constant voltage mode when the initial startup temperature is -5 [PITH_FULL_IMAGE:figures/full_fig_p013_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Time variation of parameters of the PEMFC in the constant voltage mode when the initial startup temperature is -7 [PITH_FULL_IMAGE:figures/full_fig_p014_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Time variation of parameters of the PEMFC in the constant voltage mode when the initial startup temperature is -10 [PITH_FULL_IMAGE:figures/full_fig_p015_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Time variation of parameters of the PEMFC in the ramping current mode when the initial startup temperature is -5 [PITH_FULL_IMAGE:figures/full_fig_p016_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Time variation of parameters of the PEMFC in the ramping current mode when the initial startup temperature is -7 [PITH_FULL_IMAGE:figures/full_fig_p017_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Time variation of parameters of the PEMFC in the ramping current mode when the initial startup temperature is -10 [PITH_FULL_IMAGE:figures/full_fig_p018_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Changes of voltage and HFR in the variable current mode at the initial startup temperature of -10 [PITH_FULL_IMAGE:figures/full_fig_p020_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: Operation time and final temperature rise in the variable current mode at the initial startup temperature of -10 [PITH_FULL_IMAGE:figures/full_fig_p021_15.png] view at source ↗
Figure 16
Figure 16. Figure 16: Water and heat production under different cases in the variable current mode: (a, c) MFFF fuel cell; (b, d) SFF fuel cell. 21 [PITH_FULL_IMAGE:figures/full_fig_p021_16.png] view at source ↗
read the original abstract

Proton Exchange Membrane Fuel Cell (PEMFC) is widely recognized for its cleanliness and high efficiency, but is still facing challenges in cold environments. At low temperatures, the formation of ice and repeated freezing/thawing cycles may cause cell performance reduction and irreversible degradation. The cathode flow field of PEMFCs has a significant effect on the performance. In contrast to the conventional ``channel-ridge'' flow field, the metal foam has the advantages of excellent pre-distribution of gases and water drainage, which make it a promising candidate for the cold start. This paper examines the cold start of PEMFCs with metal foam flow field (MFFF) and serpentine flow field (SFF), and the influence of constant current mode, constant voltage mode, and ramping current mode is investigated experimentally through performance test and electrochemical characterization. The results show that lowering the voltage and increasing the current can enhance the cold-start performance of fuel cells. The MFFF fuel cell has superior cold start performance compared to the SFF fuel cell under the constant voltage mode of 0.3 V. Furthermore, the variable current mode is developed by considering the distinct properties of heat and water production during various phases, and the results indicate that increasing the current density at the unsaturated stage leads to an elevated rate of heat production and a reduced rate of water production, which can improve the cold start of PEMFCs.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript experimentally compares cold-start performance of PEM fuel cells with metal foam flow field (MFFF) versus serpentine flow field (SFF) under constant-current, constant-voltage (including 0.3 V), and variable-current startup modes. It claims that MFFF outperforms SFF at 0.3 V constant voltage and that a variable-current protocol improves cold start by raising current density (and thus heat production) while lowering water production during the unsaturated stage.

Significance. If the performance differences are shown to be statistically robust and attributable to flow-field geometry and startup schedule rather than uncontrolled variables, the work could guide practical improvements in PEMFC cold-start reliability for automotive use. The direct experimental comparison of MFFF and SFF is a clear strength, but the lack of replicate statistics and control documentation currently limits the strength of the conclusions.

major comments (2)
  1. [Abstract/results paragraph] Abstract and results paragraph: the central claims (MFFF superiority at 0.3 V; benefit of variable-current mode) rest on observed performance deltas, yet no information is supplied on number of replicates, error bars, statistical tests, or pre-test controls for initial membrane water content, catalyst state, or rig temperature uniformity. These omissions are load-bearing because the skeptic concern (unmeasured initial-condition variation) cannot be ruled out from the given description.
  2. [Methods/results] Methods/results: no quantitative details are provided on how initial membrane hydration was equalized across runs (e.g., via EIS, RH soak times, or open-circuit voltage stabilization), which directly affects whether the reported MFFF–SFF gaps can be attributed to flow-field geometry rather than starting-state differences.
minor comments (1)
  1. [Abstract] Abstract: the phrase 'variable current mode is developed by considering the distinct properties of heat and water production' would be clearer if a brief numerical example of the current schedule (e.g., current density values and transition times) were added.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We appreciate the referee's comments on the need for better documentation of experimental controls and statistics. Below we respond to each major comment and indicate the revisions we will make to strengthen the manuscript.

read point-by-point responses
  1. Referee: [Abstract/results paragraph] Abstract and results paragraph: the central claims (MFFF superiority at 0.3 V; benefit of variable-current mode) rest on observed performance deltas, yet no information is supplied on number of replicates, error bars, statistical tests, or pre-test controls for initial membrane water content, catalyst state, or rig temperature uniformity. These omissions are load-bearing because the skeptic concern (unmeasured initial-condition variation) cannot be ruled out from the given description.

    Authors: We agree that the absence of replicate information and control details weakens the claims. In the original experiments, each startup condition was repeated three times, and we will add error bars (standard deviation) to the performance curves in the revised figures. We will also include a description of the pre-test controls: the cell was purged with dry nitrogen at 60°C for 2 hours prior to cooling to ensure consistent initial membrane water content (verified by stable OCV >0.9 V), and rig temperature was monitored at multiple points for uniformity. No formal statistical tests were applied, but the consistency across replicates supports the observed differences. revision: yes

  2. Referee: [Methods/results] Methods/results: no quantitative details are provided on how initial membrane hydration was equalized across runs (e.g., via EIS, RH soak times, or open-circuit voltage stabilization), which directly affects whether the reported MFFF–SFF gaps can be attributed to flow-field geometry rather than starting-state differences.

    Authors: We will revise the Methods section to include quantitative details on the initial hydration protocol. All cells underwent a 45-minute open-circuit voltage stabilization under 50% RH at 25°C before cooling to the target subzero temperature, ensuring membrane water content was equalized (OCV stabilized within 5 mV variation). This procedure was identical for MFFF and SFF cells to allow direct comparison of flow field effects. revision: yes

Circularity Check

0 steps flagged

No circularity: purely experimental comparison with direct measurements

full rationale

The manuscript reports experimental results on PEMFC cold-start performance for MFFF vs. SFF under constant-current, constant-voltage, and variable-current protocols. No equations, models, fitted parameters, or derivations appear in the abstract or described content. Claims rest on measured performance deltas rather than any reduction of outputs to inputs by construction. No self-citations or ansatzes are invoked as load-bearing steps. This is the expected non-finding for a measurement-only study.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Experimental study; no mathematical model or derivation is present, so no free parameters or invented entities are introduced. The work rests on standard domain assumptions of fuel-cell testing.

axioms (1)
  • domain assumption Laboratory cold-start conditions and sensor readings accurately reflect the dominant physical processes of ice formation and heat/water balance inside the cell.
    Required to interpret the reported performance differences as caused by flow field and mode rather than measurement artifacts.

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Reference graph

Works this paper leans on

60 extracted references · 57 canonical work pages

  1. [1]

    Pramuanjaroenkij, S

    A. Pramuanjaroenkij, S. Kakaç, The fuel cell electric vehicles: The highlight review, International Journal of Hydrogen Energy 48 (25) (2023) 9401–9425.doi:10.1016/j.ijhydene.2022.11.103

  2. [2]

    X. Yang, J. Sun, G. Jiang, S. Sun, Z. Shao, H. Yu, F. Duan, Y . Yang, Experimental study on critical membrane water content of proton exchange membrane fuel cells for cold storage at−50 ◦C, Energies 14 (15) (2021) 4520. doi:10.3390/en14154520

  3. [3]

    R. Lin, Y . S. Ren, X. W. Lin, Z. H. Jiang, Z. Yang, Y . T. Chang, Investigation of the internal behavior in segmented PEMFCs of different flow fields during cold start process, Energy 123 (2017) 367–377.doi:10. 1016/j.energy.2017.01.138

  4. [4]

    Wang, System integration, durability and reliability of fuel cells: Challenges and solutions, Applied Energy 189 (2017) 460–479.doi:10.1016/j.apenergy.2016.12.083

    J. Wang, System integration, durability and reliability of fuel cells: Challenges and solutions, Applied Energy 189 (2017) 460–479.doi:10.1016/j.apenergy.2016.12.083

  5. [5]

    R. Lin, D. Zhong, S. Lan, R. Guo, Y . Ma, X. Cai, Experimental validation for enhancement of PEMFC cold start performance: Based on the optimization of micro porous layer, Applied Energy 300 (2021) 117306.doi: 10.1016/j.apenergy.2021.117306

  6. [6]

    Y . Luo, K. Jiao, Cold start of proton exchange membrane fuel cell, Progress in Energy and Combustion Science 64 (2018) 29–61.doi:10.1016/j.pecs.2017.10.003

  7. [7]

    J. Hou, H. Yu, M. Yang, W. Song, Z. Shao, B. Yi, Reversible performance loss induced by sequential failed cold start of PEM fuel cells, International Journal of Hydrogen Energy 36 (19) (2011) 12444–12451.doi: 10.1016/j.ijhydene.2011.06.100. 22

  8. [8]

    Z. Yang, K. Jiao, K. Wu, W. Shi, S. Jiang, L. Zhang, Q. Du, Numerical investigations of assisted heating cold start strategies for proton exchange membrane fuel cell systems, Energy 222 (2021).doi:10.1016/j.energy. 2021.119910

  9. [9]

    Y . Tabe, M. Saito, K. Fukui, T. Chikahisa, Cold start characteristics and freezing mechanism dependence on start-up temperature in a polymer electrolyte membrane fuel cell, Journal of Power Sources 208 (2012) 366– 373.doi:10.1016/j.jpowsour.2012.02.052

  10. [10]

    Zhang, J

    C. Zhang, J. Chen, M. Luo, Y . Li, F. Yi, J. Zhou, Z. Zhang, B. Deng, Modelling, validation and analysis of preheating strategy of fuel cell vehicle during subzero cold start, International Journal of Heat and Mass Transfer 220 (2024) 124889.doi:10.1016/j.ijheatmasstransfer.2023.124889

  11. [11]

    K. Jiao, I. E. Alaefour, G. Karimi, X. Li, Cold start characteristics of proton exchange membrane fuel cells, International Journal of Hydrogen Energy 36 (18) (2011) 11832–11845.doi:10.1016/j.ijhydene.2011. 05.101

  12. [12]

    Chippar, H

    P. Chippar, H. Ju, Evaluating cold-start behaviors of end and intermediate cells in a polymer electrolyte fuel cell (PEFC) stack, Solid State Ionics 225 (2012) 85–91.doi:10.1016/j.ssi.2012.02.038

  13. [13]

    K. Hu, T. Chu, F. Li, B. Wang, Z. Zhang, T. Liu, Effect of different control strategies on rapid cold start-up of a 30-cell proton exchange membrane fuel cell stack, International Journal of Hydrogen Energy 46 (62) (2021) 31788–31797.doi:10.1016/j.ijhydene.2021.07.041

  14. [14]

    Ge, C.-Y

    S. Ge, C.-Y . Wang, Characteristics of subzero startup and water/ice formation on the catalyst layer in a polymer electrolyte fuel cell, Electrochimica Acta 52 (14) (2007) 4825–4835.doi:10.1016/j.electacta.2007.01. 038

  15. [16]

    Jiang, L

    H. Jiang, L. Xu, H. Struchtrup, J. Li, Q. Gan, X. Xu, Z. Hu, M. Ouyang, Modeling of fuel cell cold start and dimension reduction simplification method, Journal of The Electrochemical Society 167 (4) (2020) 044501. doi:10.1149/1945-7111/ab6ee7

  16. [17]

    L. Yao, J. Peng, J.-b. Zhang, Y .-j. Zhang, Numerical investigation of cold-start behavior of polymer electrolyte fuel cells in the presence of super-cooled water, International Journal of Hydrogen Energy 43 (32) (2018) 15505– 15520.doi:10.1016/j.ijhydene.2018.06.112

  17. [18]

    A. Jo, S. Lee, W. Kim, J. Ko, H. Ju, Large-scale cold-start simulations for automotive fuel cells, International Journal of Hydrogen Energy 40 (2) (2015) 1305–1315.doi:10.1016/j.ijhydene.2014.10.020

  18. [20]

    Sundaresan, R

    M. Sundaresan, R. M. Moore, Polymer electrolyte fuel cell stack thermal model to evaluate sub-freezing startup, Journal of Power Sources 145 (2) (2005) 534–545.doi:10.1016/j.jpowsour.2004.12.070

  19. [21]

    Y . Luo, Q. Guo, Q. Du, Y . Yin, K. Jiao, Analysis of cold start processes in proton exchange membrane fuel cell stacks, Journal of Power Sources 224 (2013) 99–114.doi:10.1016/j.jpowsour.2012.09.089

  20. [22]

    Ishikawa, H

    Y . Ishikawa, H. Hamada, M. Uehara, M. Shiozawa, Super-cooled water behavior inside polymer electrolyte fuel cell cross-section below freezing temperature, Journal of Power Sources 179 (2) (2008) 547–552.doi: 10.1016/j.jpowsour.2008.01.031. 23

  21. [23]

    A. D. Santamaria, J. Bachman, J. W. Park, Cold-start of parallel and interdigitated flow-field polymer electrolyte membrane fuel cell, Electrochimica Acta 107 (2013) 327–338.doi:10.1016/j.electacta.2013.03.164

  22. [24]

    W. Gao, Q. Li, K. Sun, R. Chen, Z. Che, T. Wang, Mass transfer and water management in proton exchange membrane fuel cells with a composite foam-rib flow field, International Journal of Heat and Mass Transfer 216 (2023) 124595.doi:10.1016/j.ijheatmasstransfer.2023.124595

  23. [25]

    Y . Zhu, R. Lin, L. Han, Z. Jiang, D. Zhong, Investigation on cold start of polymer electrolyte membrane fuel cells stacks with diverse cathode flow fields, International Journal of Hydrogen Energy 46 (7) (2021) 5580–5592. doi:10.1016/j.ijhydene.2020.11.021

  24. [26]

    Valentín-Reyes, M

    J. Valentín-Reyes, M. I. León, T. Pérez, T. Romero-Castañón, J. Beltrán, J. R. Flores-Hernández, J. L. Nava, Simulation of an interdigitated flow channel assembled in a proton exchange membrane fuel cell (PEMFC), International Journal of Heat and Mass Transfer 194 (2022) 123026.doi:10.1016/j.ijheatmasstransfer. 2022.123026

  25. [27]

    Z. Liao, L. Wei, A. M. Dafalla, Z. Suo, F. Jiang, Numerical study of subfreezing temperature cold start of proton exchange membrane fuel cells with zigzag-channeled flow field, International Journal of Heat and Mass Transfer 165 (2021) 120733.doi:10.1016/j.ijheatmasstransfer.2020.120733

  26. [28]

    H. Hu, X. Xu, N. Mei, C. Li, Numerical study on the influence of waveform channel and related design parameters on the cold start of proton exchange membrane fuel cell, Solid State Ionics 373 (2021) 115794. doi:10.1016/j.ssi.2021.115794

  27. [29]

    M. Kim, C. Kim, Y . Sohn, Application of metal foam as a flow field for PEM fuel cell stack, Fuel Cells 18 (2) (2018) 123–128.doi:10.1002/fuce.201700180

  28. [30]

    M. Suo, K. Sun, R. Chen, Z. Che, Z. Zeng, Q. Li, X. Tao, T. Wang, Oxygen transport in proton exchange membrane fuel cells with metal foam flow fields, Journal of Power Sources 521 (2022) 230937.doi:10.1016/ j.jpowsour.2021.230937

  29. [31]

    Y . Awin, N. Dukhan, Experimental performance assessment of metal-foam flow fields for proton exchange membrane fuel cells, Applied Energy 252 (2019) 113458.doi:10.1016/j.apenergy.2019.113458

  30. [32]

    J. G. Carton, A. G. Olabi, Three-dimensional proton exchange membrane fuel cell model: Comparison of double channel and open pore cellular foam flow plates, Energy 136 (2017) 185–195.doi:10.1016/j.energy.2016. 02.010

  31. [33]

    Tseng, B

    C.-J. Tseng, B. T. Tsai, Z.-S. Liu, T.-C. Cheng, W.-C. Chang, S.-K. Lo, A PEM fuel cell with metal foam as flow distributor, Energy Conversion and Management 62 (2012) 14–21.doi:10.1016/j.enconman.2012.03.018

  32. [35]

    Afshari, M

    E. Afshari, M. Mosharaf-Dehkordi, H. Rajabian, An investigation of the PEM fuel cells performance with partially restricted cathode flow channels and metal foam as a flow distributor, Energy 118 (2017) 705–715. doi:10.1016/j.energy.2016.10.101

  33. [36]

    D. K. Shin, J. H. Yoo, D. G. Kang, M. S. Kim, Effect of cell size in metal foam inserted to the air channel of polymer electrolyte membrane fuel cell for high performance, Renewable Energy 115 (2018) 663–675.doi: 10.1016/j.renene.2017.08.085

  34. [37]

    S. Huo, N. J. Cooper, T. L. Smith, J. W. Park, K. Jiao, Experimental investigation on PEM fuel cell cold start behavior containing porous metal foam as cathode flow distributor, Applied Energy 203 (2017) 101–114.doi: 10.1016/j.apenergy.2017.06.028. 24

  35. [38]

    X. Xie, X. Sun, M. Zhu, G. Zhang, S. Wu, K. Jiao, J. W. Park, Experimental investigation of proton exchange membrane fuel cell with metal foam flow field (2019).doi:10.4271/2019-01-0388

  36. [39]

    A. A. Amamou, S. Kelouwani, L. Boulon, K. Agbossou, A comprehensive review of solutions and strategies for cold start of automotive proton exchange membrane fuel cells, IEEE Access 4 (2016) 4989–5002.doi: 10.1109/access.2016.2597058

  37. [40]

    J. Tao, X. Wei, H. Dai, Study on the constant voltage, current and current ramping cold start modes of proton exchange membrane fuel cell, SAE International, 2021.doi:10.4271/2021-01-0746

  38. [41]

    L. Zang, L. Hao, Numerical study of the cold-start process of PEM fuel cells with different current density operating modes, Journal of Energy Engineering 146 (6) (2020) 04020057.doi:10.1061/(asce)ey. 1943-7897.0000705

  39. [43]

    Jiang, C.-Y

    F. Jiang, C.-Y . Wang, Potentiostatic start-up of PEMFCs from subzero temperatures, Journal of The Electrochemical Society 155 (7) (2008) B743.doi:10.1149/1.2927381

  40. [44]

    Y . Yang, T. Ma, B. Du, W. Lin, N. Yao, Investigation on the operating conditions of proton exchange membrane fuel cell based on constant voltage cold start mode, Energies 14 (3) (2021) 660.doi:10.3390/en14030660

  41. [46]

    Jiang, C.-Y

    F. Jiang, C.-Y . Wang, K. S. Chen, Current ramping: a strategy for rapid start-up of PEMFCs from subfreezing environment, Journal of The Electrochemical Society 157 (3) (2010) B342.doi:10.1149/1.3274820

  42. [47]

    L. Lei, P. He, P. He, W.-Q. Tao, A comparative study: The effect of current loading modes on the cold start- up process of PEMFC stack, Energy Conversion and Management 251 (2022) 114991.doi:10.1016/j. enconman.2021.114991

  43. [48]

    Q. Du, B. Jia, Y . Luo, J. Chen, Y . Zhou, K. Jiao, Maximum power cold start mode of proton exchange membrane fuel cell, International Journal of Hydrogen Energy 39 (16) (2014) 8390–8400.doi:10.1016/j.ijhydene. 2014.03.056

  44. [49]

    Z. Wan, Y . Sun, C. Yang, X. Kong, H. Yan, X. Chen, T. Huang, X. Wang, Experimental performance investigation on the arrangement of metal foam as flow distributors in proton exchange membrane fuel cell, Energy Conversion and Management 231 (2021) 113846.doi:10.1016/j.enconman.2021.113846

  45. [50]

    D. G. Kang, D. K. Lee, J. M. Choi, D. K. Shin, M. S. Kim, Study on the metal foam flow field with porosity gradient in the polymer electrolyte membrane fuel cell, Renewable Energy 156 (2020) 931–941.doi:10.1016/ j.renene.2020.04.142

  46. [51]

    X. Chen, C. Yang, Y . Sun, Q. Liu, Z. Wan, X. Kong, Z. Tu, X. Wang, Water management and structure optimization study of nickel metal foam as flow distributors in proton exchange membrane fuel cell, Applied Energy 309 (2022) 118448.doi:10.1016/j.apenergy.2021.118448

  47. [52]

    Tajiri, Y

    K. Tajiri, Y . Tabuchi, F. Kagami, S. Takahashi, K. Yoshizawa, C.-Y . Wang, Effects of operating and design parameters on pefc cold start, Journal of Power Sources 165 (1) (2007) 279–286.doi:10.1016/j.jpowsour. 2006.12.017

  48. [53]

    X.-Z. Yuan, S. Zhang, J. C. Sun, H. Wang, A review of accelerated conditioning for a polymer electrolyte membrane fuel cell, Journal of Power Sources 196 (22) (2011) 9097–9106.doi:10.1016/j.jpowsour.2011. 06.098. 25

  49. [54]

    M. M. Taghiabadi, M. Zhiani, V . Silva, Effect of mea activation method on the long-term performance of pem fuel cell, Applied Energy 242 (2019) 602–611.doi:10.1016/j.apenergy.2019.03.157

  50. [55]

    X. Xie, G. Zhang, J. Zhou, K. Jiao, Experimental and theoretical analysis of ionomer/carbon ratio effect on pem fuel cell cold start operation, International Journal of Hydrogen Energy 42 (17) (2017) 12521–12530. doi:10.1016/j.ijhydene.2017.02.183

  51. [56]

    X. Xie, R. Wang, K. Jiao, G. Zhang, J. Zhou, Q. Du, Investigation of the effect of micro-porous layer on pem fuel cell cold start operation, Renewable Energy 117 (2018) 125–134.doi:10.1016/j.renene.2017.10.039

  52. [57]

    D. D. Boettner, G. Paganelli, Y . G. Guezennec, G. Rizzoni, M. J. Moran, Proton exchange membrane fuel cell system model for automotive vehicle simulation and control, Journal of Energy Resources Technology 124 (1) (2002) 7.doi:10.1115/1.1447927

  53. [58]

    N. J. Cooper, T. Smith, A. D. Santamaria, J. W. Park, Experimental optimization of parallel and interdigitated PEMFC flow-field channel geometry, International Journal of Hydrogen Energy 41 (2) (2016) 1213–1223.doi: 10.1016/j.ijhydene.2015.11.153

  54. [59]

    G. M. Rios, J. Schirmer, C. Gentner, J. Kallo, Efficient thermal management strategies for cold starts of a proton exchange membrane fuel cell system, Applied Energy 279 (2020) 115813.doi:10.1016/j.apenergy.2020. 115813

  55. [60]

    R. Lin, X. Lin, Y . Weng, Y . Ren, Evolution of thermal drifting during and after cold start of proton exchange membrane fuel cell by segmented cell technology, International Journal of Hydrogen Energy 40 (23) (2015) 7370–7381.doi:10.1016/j.ijhydene.2015.04.045

  56. [61]

    Huang, Y

    H. Huang, Y . Zhou, H. Deng, X. Xie, Q. Du, Y . Yin, K. Jiao, Modeling of high temperature proton exchange membrane fuel cell start-up processes, International Journal of Hydrogen Energy 41 (4) (2016) 3113–3127. doi:10.1016/j.ijhydene.2015.12.134

  57. [62]

    Ishikawa, M

    Y . Ishikawa, M. Shiozawa, M. Kondo, K. Ito, Theoretical analysis of supercooled states of water generated below the freezing point in a pefc, International Journal of Heat and Mass Transfer 74 (2014) 215–227.doi: 10.1016/j.ijheatmasstransfer.2014.03.038

  58. [63]

    Z. Wan, H. Chang, S. Shu, Y . Wang, H. Tang, A review on cold start of proton exchange membrane fuel cells, Energies 7 (5) (2014) 3179–3203.doi:10.3390/en7053179

  59. [64]

    G. Gwak, H. Ju, A rapid start-up strategy for polymer electrolyte fuel cells at subzero temperatures based on control of the operating current density, International Journal of Hydrogen Energy 40 (35) (2015) 11989–11997. doi:10.1016/j.ijhydene.2015.05.179

  60. [65]

    Y . Wang, P. P. Mukherjee, J. Mishler, R. Mukundan, R. L. Borup, Cold start of polymer electrolyte fuel cells: Three-stage startup characterization, Electrochimica Acta 55 (8) (2010) 2636–2644.doi:10.1016/ j.electacta.2009.12.029. 26