Application of Buckingham π theorem for scaling-up oriented fast modelling of Proton Exchange Membrane Fuel Cell impedance

Larminie, 2003 2015 2015 Cooper, 2006, Electrical test methods for on-line fuel cell ohmic resistance measurement, J. Power Sources, 160, 1088, 10.1016/j.jpowsour.2006.02.086 Tang, 2006, Temperature dependent performance and in situ AC impedance of high-temperature PEM fuel cells using the Nafion-112 membrane, J. Electrochem Soc., 153, 10.1149/1.2337008 Yuan, 2010 Petrone, 2013, A review on model-based diagnosis methodologies for PEMFCs, Int. J. Hydrogen Energy, 38, 7077, 10.1016/j.ijhydene.2013.03.106 Wagner N., Bauder A., Friedrich K.A., Diagnostics of PEM fuel cells, 2nd International Workshop on Degradation issues in Fuel Cells, Thessaloniki, Greece. Yuan, 2006, AC impedance diagnosis of a 500W PEM fuel cell stack: part II: individual cell impedance, J. Power Sources, 161, 929, 10.1016/j.jpowsour.2006.07.020 Usman Iftikhar, 2006, Dynamic modeling of proton exchange membrane fuel cell using non-integer derivatives, J. Power Sources, Elsevier, 160, 1170, 10.1016/j.jpowsour.2006.03.044 Brunetto, 2009, PEM fuel cell testing by electrochemical impedance spectroscopy, Electr. Power Syst. Res., 79, 17, 10.1016/j.epsr.2008.05.012 Xie, 2011, Drawing impedance spectroscopy for fuel cell by EIS, Procedia Environ. Sci., 11, 589, 10.1016/j.proenv.2011.12.092 Narjiss, 2008, Online diagnosis of PEM fuel cell, 734 Kulikovsky, 2017, Analytical physics–based impedance of the cathode catalyst layer in a PEM fuel cell at typical working currents, Electrochim. Acta, 225, 559, 10.1016/j.electacta.2016.11.129 Kulikovsky, 2016, A simple physics-based equation for low-current impedance of a PEM fuel cell cathode, Electrochim. Acta, 196, 231, 10.1016/j.electacta.2016.02.150 Kulikovsky, 2016, PEM fuel cell impedance at open circuit, J. Electrochem. Soc., 163, F319, 10.1149/2.0111605jes Cruz-Manzo, 2016, An impedance model for analysis of EIS of polymer electrolyte fuel cells under platinum oxidation and hydrogen peroxide formation in the cathode, J. Electroanal. Chem., 771, 94, 10.1016/j.jelechem.2016.02.046 Niya, 2016, Process modeling of the impedance characteristics of proton exchange membrane fuel cells, Electrochim. Acta, 11, 594, 10.1016/j.electacta.2016.01.128 Setzler, 2015, A physics-based impedance model of proton exchange membrane fuel cells exhibiting low-frequency inductive loops, J. Electrochem. Soc., 162, F519, 10.1149/2.0361506jes Chevalier, 2014, Detection of cells state-of-health in PEM fuel cell stack using EIS measurements coupled with multiphysics modeling, Fuel Cells, 14, 416, 10.1002/fuce.201300209 Chevalier, 2013, Multiphysics DC and AC models of a PEMFC for the detection of degraded cell parameters, Int. J. Hydrogen Energy, 38, 11609, 10.1016/j.ijhydene.2013.04.057 Pahon, 2016, A signal-based method for fast PEMFC diagnosis, Appl. Energy, 165, 748, 10.1016/j.apenergy.2015.12.084 Esposito, 2016, High fuel utilization in solid oxide fuel cells: experimental characterization and data analysis with continuous wavelet Transform, J. Power Sources, 317, 159, 10.1016/j.jpowsour.2016.03.069 Petrone R., Pianese C., Polverino P., Sorrentino M., International Patent Application no. PCT/IB2015/058258 claiming the priority of the Italian Patent Application no. RM2014A000641, entitled “Method For Monitoring And Diagnosing Electrochemical Devices Based On Automatic Electrochemical Impedance Identification”, 2014. Buckingham, 1915, Nature, 96, 396, 10.1038/096396d0 Sorrentino, 2015 Sorrentino, 2013, An integrated mathematical tool aimed at developing highly performing and cost-effective fuel cell hybrid vehicles, J. Power Sources, 221, 308, 10.1016/j.jpowsour.2012.08.001 Sorrentino, 2016, A specification independent control strategy for simultaneous optimization of fuel cell hybrid vehicles design and energy management D-CODE project, 2014 Asghari, 2010, Study of PEM fuel cell performance by electrochemical impedance spectroscopy, Int. J. Hydrogen Energy, 35, 9283, 10.1016/j.ijhydene.2010.03.069 Wasterlain, 2011, Development of new test instruments and protocols for the diagnostic of fuel cell stacks, J. Power Sources, Elsevier, 196, 5325, 10.1016/j.jpowsour.2010.08.029 Hart, 1995 Kline, 1986 Souilem, 2015, vol. 61, 23 Protsenko, 2012, Application of dimensional analysis and similarity theory for simulation of electrode kinetics described by the Marcus–Hush–Chidsey formalism, J. Electroanal. Chem., 669, 50, 10.1016/j.jelechem.2012.01.028 Sonin, 2001 Reshetenko, 2015, PEM fuel cell characterization by means of the physical model for impedance spectra, J. Electrochem. Soc., 162, F627, 10.1149/2.1141506jes Wang, 2005, Dynamic models and model validation for PEM fuel cells using electrical circuits, IEEE Trans. Energy Convers., 20, 10.1109/TEC.2004.842357 Springer, 1991, Polymer electrolyte fuel cell model, J. Electrochem. Soc., 138, 2334, 10.1149/1.2085971 Mann, 2000, Development and application of a generalised steady-state electrochemical model for a PEM fuel cell, J. Power Sources, 86, 173, 10.1016/S0378-7753(99)00484-X Kawamura, 2007, vol. 19, 67 Petrone, 2011 Wang, 2015, Barriers of scaling-up fuel cells: cost, durability and reliability, Energy, 80, 509, 10.1016/j.energy.2014.12.007 Wang, 2015, Theory and practice of flow field designs for fuel cell scaling-up: a critical review, Appl. Energy, 157, 640, 10.1016/j.apenergy.2015.01.032 Palaniswamy, 2016, Influence of porous carbon inserts on scaling up studies for performance enhancement on PEMFC, Int. J. Hydrogen Energy, 41, 2867, 10.1016/j.ijhydene.2015.10.148 Bonnet, 2008, Design of an 80kWe PEM fuel cell system: scale up effect investigation, J. Power Sources, 182, 441, 10.1016/j.jpowsour.2007.12.100 Rao, 1974, Problem of scale-up in electrochemical systems, J. Appl. Electrochem., 4, 87, 10.1007/BF00615910 Sulaymon, 2012