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Temperature and Current Density distributions in a 100 cm2 PEM Fuel Cell: Effects of flow field designs

Cabello González, Gracia María; Toharias Góngora, Baltasar; Rosa Iglesias, Manuel Felipe; Guerra Macho, José Julio; Iranzo Paricio, José Alfredo

Abstract

Electro-thermal mapping provides valuable insights into the performance evaluation of polymer electrolyte membrane fuel cells (PEMFCs) by depicting the spatial distribution of current density and temperature. In this study, electro-thermal maps were generated for three different designs of 100 cm2 PEMFC flow fields (conventional serpentine with two different channel depths, and serpentine-tapered). The performance of each design was characterized by analyzing the surface (in-plane) distributions of current density and temperature at different cell voltages. At elevated current densities, a linear increase in the non-uniformity of temperature and current density distribution is observed. The central region of the bipolar plate exhibits higher temperatures, whereas the region with high current densities is situated near the hydrogen inlet, gradually diminishing as the hydrogen depletes towards the outlet. Results show that, in general, the tapered flow field design exhibits better performance with a more homogeneous temperature and current distribution throughout the entire active area. This behavior can be attributed to better water management and gas diffusion towards the electrode due to the acceleration and pressure increase of the reactant fuel gas along the narrowing channel. Novel insights were identified by applying the Current Distribution Mapping (CDM) technique for analyzing current density and temperature in-plane distributions under dynamic load conditions, comparing the different channel depths or tapered designs during the dynamic operation of the cell. During dynamic tests, temperature increased rapidly for increasing loads but the decrease was more slowly when load was lowered, leading to an overall gradual temperature rise and less homogeneous distribution at higher currents, while the current distribution adjusted almost instantly with constant standard deviation during both load increases and decreases.

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Tempe a u e and Cu en Densi y dis ibu ions in a 100 cm 2 PEM Fuel Cell: E ec s o low ield designs G.M. Cabello Gonz´ alez a,* , Bal asa Toha ias b , Felipe Rosa a,c , J.J. Gue a a , Al edo I anzo a,c a Depa amen o de Ingenie ía Ene g´ e ica, G upo de Te mo ecnia. Escuela T´ ecnica Supe io de Ingenie ía. Uni e sidad de Se illa. Camino de los Descub imien os s/n. 41092, Se illa, Spain b Asociaci´ on de In es igaci´ on y Coope aci´ on Indus ial de Andalucía – AICIA. G upo Te mo ecnia, Camino de los Descub imien os s/n. 41092, Se illa, Spain c ENGREEN, Labo a o y o Enginee ing o Ene gy and En i onmen al Sus ainabili y, Uni e sidad de Se illa, Spain HIGHLIGHTS •Compa a i e CDM s udy o h ee 100 cm 2 PEM cell low ield con igu a ions. •As Cu en demand ises, empe a u e and cu en dis ibu ions become mo e une en. •Tape ed design enhances ope a ion ia uni o m empe a u e and cu en dis ibu ion. ARTICLE INFO Keywo ds: PEM uel cell Tempe a u e dis ibu ion Cu en densi y mapping Dynamic load cycle ABSTRACT Elec o- he mal mapping p o ides aluable insigh s in o he pe o mance e alua ion o polyme elec oly e memb ane uel cells (PEMFCs) by depic ing he spa ial dis ibu ion o cu en densi y and empe a u e. In his s udy, elec o- he mal maps we e gene a ed o h ee di e en designs o 100 cm 2 PEMFC low ields (con- en ional se pen ine wi h wo di e en channel dep hs, and se pen ine- ape ed). The pe o mance o each design was cha ac e ized by analyzing he su ace (in-plane) dis ibu ions o cu en densi y and empe a u e a di e en cell ol ages. A ele a ed cu en densi ies, a linea inc ease in he non-uni o mi y o empe a u e and cu en densi y dis ibu ion is obse ed. The cen al egion o he bipola pla e exhibi s highe empe a u es, whe eas he egion wi h high cu en densi ies is si ua ed nea he hyd ogen inle , g adually diminishing as he hyd ogen deple es owa ds he ou le . Resul s show ha , in gene al, he ape ed low ield design exhibi s be e pe o mance wi h a mo e homogeneous empe a u e and cu en dis ibu ion h oughou he en i e ac i e a ea. This beha io can be a ibu ed o be e wa e managemen and gas di usion owa ds he elec ode due o he accele a ion and p essu e inc ease o he eac an uel gas along he na owing channel. No el insigh s we e iden i ied by applying he Cu en Dis ibu ion Mapping (CDM) echnique o analyzing cu en densi y and empe a u e in-plane dis ibu ions unde dynamic load condi ions, compa ing he di e en channel dep hs o ape ed designs du ing he dynamic ope a ion o he cell. Du ing dynamic es s, empe a u e inc eased apidly o inc easing loads bu he dec ease was mo e slowly when load was lowe ed, leading o an o e all g adual empe a u e ise and less homogeneous dis ibu ion a highe cu en s, while he cu en dis ibu ion adjus ed almos ins an ly wi h cons an s anda d de ia ion du ing bo h load inc eases and dec eases. 1. In oduc ion In he pu sui o mi iga ing clima e change, he ene gy sec o s ands a he o e on o deca boniza ion e o s [1] since, globally, i is he la ges emi e o global g eenhouse gas emissions [2]. Go e nmen s wo ldwide a e ge ing in ol ed, implemen ing policies and incen i es o ansi ion away om ossil uels owa ds cleane al e na i es, limi ing he ad e se impac s o clima e change. Howe e , achie ing deca bon- iza ion goals necessi a es no only enewable ene gy sou ces like wind and sola , bu also e sa ile ene gy ec o s capable o s o ing and * Co esponding au ho . E-mail add ess: [email p o ec ed] (G.M.C. Gonz´ alez). Con en s lis s a ailable a ScienceDi ec Jou nal o Powe Sou ces jou nal homepage: www.else ie .com/loca e/jpowsou h ps://doi.o g/10.1016/j.jpowsou .2025.237625 Recei ed 14 Feb ua y 2025; Recei ed in e ised o m 13 May 2025; Accep ed 7 June 2025 Jou nal o Powe Sou ces 652 (2025) 237625 A ailable online 23 June 2025 0378-7753/© 2025 The Au ho s. Published by Else ie B.V. This is an open access a icle unde he CC BY-NC license ( h p://c ea i ecommons.o g/licenses/by- nc/4.0/ ). anspo ing ene gy e icien ly [3]. In his ega d, hyd ogen eme ges as a po en ial ene gy ec o candida e due o i s high ene gy densi y and, o e all, i s e sa ili y, ha lies in hyd ogen’s abili y o be used in mul iple applica ions, such as ueling ehicles, p o iding hea o in- dus ial p ocesses, and se ing as a eeds ock o chemical p oduc ion [4]. As an ene gy ca ie , hyd ogen can be p oduced h ough elec olysis using enewable elec ici y, he eby o e ing a pa hway o in eg a e excess enewable ene gy and s o e i o la e use [5]. Hyd ogen can be u ilized di ec ly in uel cells o gene a e elec ici y wi h wa e apo as he only byp oduc , o e ing a clean al e na i e o combus ion engines. P o on Exchange Memb ane (PEM) uel cells ha e gained signi ican in e es as powe sou ces o a wide ange o appli- ca ions, including au omobiles and s a iona y powe sys ems [6]. This is due o hei nume ous ad an ages, such as as s a -up imes, low noise, high powe densi y, and high ene gy con e sion e iciency [7]. Fuel cell echnology de elopmen is equi ing he suppo o s ong es ing ca- pabili ies and echniques, o accu a ely add ess pe o mance and du a- bili y o he cells and s acks [8]. Howe e , con en ional uel cell es ing me hods, like pola iza ion cu e o impedance spec oscopy measu e- men , p o ide an o e all pe o mance assessmen bu lack localized in o ma ion along he ac i e a ea. The local dis ibu ions o cu en densi y and empe a u e a e key in he elec ochemical eac ion o uel cells because i di ec ly impac s he e iciency, pe o mance, and du a- bili y o he cell, and hus, unde s anding hei a ia ions along he ac i e a ea is i al o assessing local ene gy con e sion pe o mance and po en ial deg ada ion issues [9]. I he cu en densi y is une enly dis ibu ed, localized egions o high o low cu en densi y may de elop. This can lead o une en u iliza ion o eac an s, incomple e elec ochemical eac ions, high empe a u e g adien s, and dec eased o e all e iciency oge he wi h accele a ed deg ada ion [10]. Non-uni o m dis ibu ion o cu en densi y can also esul in localized deg ada ion o he elec ode and memb ane ma e ials o ca alys deg ada ion [11]. High cu en densi y egions may expe ience accel- e a ed deg ada ion due o inc eased elec ochemical ac i i y, leading o educed du abili y and li e ime o he uel cell s ack. Non-uni o m dis- ibu ion o cu en densi y can also lead o une en wa e dis ibu ion wi hin he cell, causing looding o d ying ou o ce ain egions. This can impai p o on conduc i i y in he elec oly e memb ane and hinde he elec ochemical eac ions, leading o dec eased pe o mance. In spi e o all his, cu en e idence does no conclusi ely demons a e ha cu en densi y inhomogenei y di ec ly accele a es pe o mance loss o induces ope a ion a om op imal condi ions. The obse ed deg ada- ion ends do no show a consis en co ela ion wi h a eas o highe o lowe cu en densi y [12,13]. I is impo an o no e ha con en ional cha ac e iza ion echniques will no be able o iden i y such local g a- dien s and issues. I is well known ha e icien hea dissipa ion is c ucial o p e en ing empe a u e g adien s wi hin he uel cell s ack, which a ec s pe o mance and du abili y [14]. Uni o m dis ibu ion o cu en densi y helps ensu ing mo e uni o m hea gene a ion and dissipa ion, con ibu ing o s able ope a ing condi ions and p olonged s ack li e. The local dis ibu ion o cu en densi y depends on ac o s like he local concen a ion o eac an s a he elec ode su ace, as well as he po en ial dis ibu ion in he cell, which is in luenced by p essu e, ela i e humidi y, and empe a u e [15]. S a egies such as elec ode design op imiza ion, imp o ed ca alys o mula ions, and ad anced low ield designs a e employed o enhance cu en dis ibu ion and maxi- mize he o e all pe o mance o uel cell sys ems [16,17]. Since con en ional es ing me hods such as pola iza ion cu e measu emen o elec ochemical impedance spec oscopy lack o local in o ma ion, Cu en Densi y Mapping (CDM) p o ides aluable insigh s in o he pe o mance o a PEM uel cell helping o iden i y a eas o high and low cu en densi y, which can be used o assess he o e all e i- ciency and unc ionali y o he uel cell, and may lead o localized issues such as ca alys deg ada ion, gas s a a ion o memb ane damage o dehyd a ion [18]. In o de o gain u he knowledge in local dis ibu ions, local empe a u e measu emen s and i s co ela ion wi h local cu en densi y can been assessed in oducing he mocouples inside he uel cell. Wil- kinson e al. [19] p o ed ha local empe a u e measu emen s can e ec i ely co ela e wi h local cu en densi ies using mic o- he mocouples, sugges ing a po en ial indi ec me hod o cu en mapping. Howe e , imp o emen s we e needed in he mocouple obus ness and op imal placemen . De e mina ion o cu en densi y dis ibu ion can be assessed by mean o a segmen ed cell whe e cu en is measu ed indi idually in each segmen by using a Hall-e ec senso . Hwang e al. [20] employed a specially designed composi e pla e wi h 16 segmen ed cu en collec o s o es a ious ca hodic low- ield pa - e ns. The s udy e alua ed hei e ec s on cu en dis ibu ion o a ious ope a ing condi ions and concluded ha he se pen ine low ield yields he mos uni o m dis ibu ion due o i s supe io mass ans e and wa e managemen capabili ies. Despi e he in e es ing conclusions ob ained wi h segmen ed cells, his me hod is limi ed o measu e he cu en densi y dis ibu ion o a single uel cell o he one a he ends o a s ack, while senso pla es inse ed in o uel cells can measu e any cell in he s ack since he cu en passes h ough a p in ed ci cui senso ha measu es cu en dis ibu- ion by means o a shun . Besides, his kind o senso s can allow highe esolu ion in he measu emen . In his sense, Geske e al. [18] p esen ed a measu emen sys em o mapping cu en densi y dis ibu ion u ilizing mul i-laye echnology o in eg a ing shun esis o s wi hin a p in ed ci cui boa d ailo ed o he uel cell’s low ield channels. Resul s o a se pen ine low channels indica e minimal empe a u e in luence du ing cell wa m-up, wi h maximum local cu en p oduc ion ypically nea he oxygen inle , hough load cu en induces a ying le els o in- homogenei y, highligh ing po en ial o op imizing a mo e uni o m cu en densi y dis ibu ion p o ile. In his sense, Heue e al. [21] de eloped a CDM senso and inse ed hem be ween he wo cen al cells o a se pen ine low channels s ack. They ound ha he s oichiome y o he ca hode was he pa ame e ha in luenced he mos on he cu en densi y p o ile since i had a la ge impac on he humidi y balance, wi h lowe o uns able cell ol ages obse ed when he cu en densi y p o ile was widely sp ead. These esul s a e in line o hose ob ained by Peng e al. [22] o a comme cial size s ack. They ound ha cu en densi y dis ibu ion is mo e sensi i e o he low a e o ai han ha o hyd ogen, and local gas s a a ion occu s when he hyd ogen s oichio- me ic a io is 1.1. Heue e al. [21] long- e m analysis e ealed an in- c ease in he sp eading o he cu en densi y p o ile, po en ially ela ed o aging, unde sco ing he impo ance o CDM o ea ly de ec ion and eac ion o ope a ional changes compa ed o adi ional cell ol age measu emen s. Belhadj e al. [9] eached he same conclusion. They ound ha esh MEA e ealed non-uni o m dis ibu ions p ima ily caused by p e e en ial gas dis ibu ion in ce ain channels, wi h li le in luence om cell cu en densi y. Howe e , aging esul ed in signi i- can ly une en dis ibu ions, wi h e idence o looding a high cu en densi y in he las sec ion. On a highe scale, Yin e al. [23] combined Compu a ional Fluid Dynamics (CFD) model wi h cu en mapping showing ha , in coun e - low hyd ogen and ai ope a ions, he ca hode ou le has he lowes and he mid po ions he highes local cu en alues. They epo ed ha cu en dis ibu ion uni o mi y was imp o ed by inc eased ai s oichiome ic a io and ha c oss- low con igu a ions enhanced empe a u e uni o mi y mo e e ec i ely han pa allel- low ones. In ecen imes, senso s ha e allowed o an elec o- he mal map- ping, including in o ma ion o bo h, empe a u e and cu en densi y dis ibu ion. Meye e al. [24] c ea ed o he i s ime a localized elec o- he mal pe o mance map o a 60 cm 2 PEM uel cell. The s udy ound ha a low cu en densi ies, he cu en densi y dis ibu ion was mainly in luenced by he anode and hyd ogen consump ion g adien , wi h he highes empe a u e g adien along he ai low di ec ion. On he o he hand, a high cu en densi ies, empe a u e in luenced he cu en densi y dis ibu ion. Also, when he senso was coupled wi h a low- equency impedance spec oscopy de ice, he limi o ope a ion as G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 2 well as he op imal pe o mance ange could be ound [25]. The cell ol ages a he cu en wi h he lowes esis ance we e app oxima ely 0.60 V, which is sligh ly below he usual ope a ing ange o 0.70-0.65 V o au omo i e applica ions. In con as , he ol age a he cu en wi h he highes powe densi y is abou 0.50 V. This demons a es ha he cu en associa ed wi h he lowes esis ance is a mo e app op ia e single- alue measu e han he poin o maximum powe . Besides, when elec o- he mal mapping was used in combina ion wi h wa e imaging, hyd a ion and dehyd a ion e ec s unde a ying load and low condi- ions could be s udied, inding ha wa e mainly accumula es unde cooling channels. Using all h ee echniques oge he p o ides a comp ehensi e unde s anding o wa e managemen in uel cells. A comple e s udy ca ied ou by Be hapudi e al. [15] compa ing a 25 cm 2 ac al low ield ca hode wi h a con en ional se pen ine low ield shows he co ela ion be ween cell pe o mance and cu en - empe a u e dis ibu ion. The ac al design signi ican ly en- hances pe o mance, pa icula ly a high cu en densi ies, due o highe cell empe a u es. Elec o- he mal mapping shows he ac al low- ield achie es a mo e uni o m cu en dis ibu ion and mi iga es looding be e han he se pen ine design, esul ing in 10–15 % highe segmen cu en s. He e ogenei y o empe a u e along wi h cu en densi y was also assessed by Jiang e al. [26]. Using an elec o- he mal mapping de ice in a se pen ine-pa e n low ield 100 cm 2 ac i e a ea PEM uel cell, he s udy measu ed his he e ogeneous dis ibu ion du ing pola i- za ion cu e es s a empe a u es o 50 ◦C and 60 ◦C. They obse ed ha highe empe a u es and cu en densi ies inc eased he e ogenei y and o e ed a new way o con e powe -cu en cu es in o powe -he e ogenei y cu es. This way, i can be ensu ed ha he cell ope a es wi h simila ou pu pe o mance bu educed cu en densi y he e ogenei y wi hin a speci ic ange, enhancing i s li espan. Also, Su´ a ez e al. [27] used his echnology in a 50 cm 2 pa allel se pen ine Elec oChem Inc uel cell in o de o es di e en con igu a ions and assess he cell esponse du ing a s anda dized d i ing cycle. They ound ha in e se hyd ogen low con igu a ion ou pe o med he o he con- igu a ions in e ms o pola iza ion and powe cu es. Local cu en densi y dis ibu ion p esen ed signi ican he e ogenei ies showing an in e se bell-shaped dis ibu ion ac oss all con igu a ions while, in con as , local empe a u e dis ibu ions we e highly homogeneous. Ne e heless, o he bes o he au ho s’ knowledge, he e ha e been no p io s udies examining he local cu en densi y and empe a u e dis ibu ions du ing dynamic load cycling es s compa ing di e en designs o uel cells. This is a signi ican gap in he li e a u e, pa icu- la ly since he spa ial and empo al a ia ions in hese dis ibu ions du ing load changes could c ea e challenging g adien s o he cell’s ope a ion. This s udy aims o add ess his gap by p o iding no el in- sigh s in o uel cell beha io unde dynamic condi ions, speci ically add essing how and why di e en low ield designs a ec cu en densi y and empe a u e in-plane dis ibu ions, which can be also o in e es o PEM elec olyze s. In pa icula , he no el y o his wo k is he use o he Cu en Dis ibu ion Mapping (CDM) echnique o analyzing cu en densi y and empe a u e in-plane dis ibu ions compa ing di e en channel dep hs o ape ed designs du ing dynamic condi ions. The analysis was conduc ed o e h ee dis inc single-cell 100 cm 2 low ield con igu a ions: a pa allel se pen ine design wi h wo di e en channel dep hs, and a ape ed design. In addi ion o hese compa a i e insigh s, his s udy also examines he ime- a ying beha io o cu en densi y and empe a u e dis ibu ions du ing load changes, ollowing a well-es ablished dynamic load p o ocol. The ind- ings om his analysis p o ide a u he unde s anding on how low ield design impac s he cell beha io . 2. Expe imen al acili y and me hodology 2.1. Fuel cell design The expe imen al wo k was conduc ed using a specialized PEM uel cell s a ion wi h capaci y o es single cells and sho s acks up o 500 W. The es ing en i onmen included a eac an gas handling uni equipped wi h mass low con olle s, humidi ie s, back p essu e egula o s, an elec onic load, and a empe a u e con ol sys em whe e he hea p o- ided by wo hea ing pads is egula ed, as well as a se o ex e nal ans o cooling pu poses. Th oughou he expe imen s, da a on cu en densi y and empe a- u e dis ibu ion inside he uel cell we e collec ed a 1 Hz acquisi ion equency using a CDM senso (S++ cu en scan shun , Ge many) placed be ween he ca hode cu en collec o and he ca hode bipola pla e, wi h an app op ia e sealing. The ac i e a ea o 100 cm 2 is, his way, di ided in o elec ically isola ed segmen s in a ma ix o 14x14 o cu en and 7x7 o empe a u e measu emen . The cell ha dwa e used in he expe imen s was he P o-RD om P agma Indus ies (F ance), whe e s a e-o - he a 7-laye MEAs om IRD Fuel Cells (Denma k) we e used (8 μ m uel cell memb ane, 0,1 mg/cm 2 in anode and 0.3 mg/cm 2 in ca hode, wi h Gas Di usion Laye (GDL) in anode o 135 μ m @1 MPa and GDL in ca hode o 146 μ m @1 MPa. All he expe imen s we e ca ied ou using a single cell. h ee di e en g aphi e pla es (6.0 mm hick) we e es ed o he ca hode side, wi h an ac i e a ea o 100 cm 2 . The designs in all cases we e based on a 7-channel pa allel se pen ine, wi h he only di e ence being he dep h o he channels (Fig. 1). The i s design was a con en ional se pen ine design wi h a channel dep h o 1 mm, whe eas in he second he dep h was dec eased down o 0.5 mm. The hi d design was also a 7-channel pa allel se pen ine wi h a ape ed design whe e he dep h was educed p og essi ely om 1 mm o 0.5 mm along he channel pa h (Fig. 1a). The wid h o he channel and he ib emained cons an o he h ee designs, being 0.8 and 1.0 mm espec i ely. I is impo an o no e ha he i s design was used a he anode side o all he expe imen , and only he bipola pla e o he ca hode side was changed. Reac an gases en e he pla e om he op le / igh co ne and ci cula e coun- e cu en in he ho izon al sec ions o he channels and concu en in he sho e ical pa s, lea ing he pla e h ough he ou le loca ed a he opposi e co ne (Fig. 1c). The assembly o he cell was done using wel e bol s and nu s placed in he edges o he pla es, wi h a igh ening o que o 9.0 Nm, o p e en leaks and p omo e uni o m cu en collec ion. 2.2. Expe imen al es s Pola iza ion and powe cu es, along wi h d i ing es s (New Eu o- pean D i ing Cycle dynamic load es s), we e ob ained o each design unde wo dis inc ope a ing condi ions (Table 1), ollowing he p o- ocols es ablished by he EU Commission Join Resea ch Cen e (JRC) [28]. The naming sys em o he es s is as ollows: PAA_TB- B_aCCHRDD_cEEHRFFai . In his nomencla u e, AA ep esen s he ou le gauge p essu e in ba wi h a decimal, BB deno es he ope a ing empe a u e in Celsius, CC indica es he anode s oichiome y wi h a decimal, DD signi ies he anode ela i e humidi y in pe cen age, EE s ands o he ca hode s oichiome y wi h a decimal, and FF indica es he ca hode ela i e humidi y in pe cen age. The wo d "ai " signi ies ha he expe imen was conduc ed using ai ins ead o pu e oxygen in he ca hode. Concu en ly wi h he pola iza ion cu e and d i ing es , he elec o- he mal mapping senso was employed o eco d empe a u e and cu en densi y da a, wi h an acquisi ion equency o 1 Hz. P io o ob aining he I-V pola iza ion cu es, he memb ane was ac i a ed ope a ing he uel cell s ack o 24 h, a P05_T65_a13HR60_ c25HR60ai and cons an cu en densi y o 0.5 A/cm 2 . A e ac i a ion, he cell was se o Open Ci cui Vol age (OCV) o 120 s. Measu emen s we e aken in gal anos a ic mode, s a ing om OCV wi h ixed cu en densi y s eps as pe indica ion o he es ing p o ocol [28]. Fo low cu en densi ies (up o 0.08 A/cm 2 ), measu emen s we e aken e e y 120 s, and o highe cu en densi ies (0.1 A/cm 2 o maximum), e e y 300 s. The es concluded when cell’s ol age d opped below 0.3 V. Da a G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 3 we e acqui ed a a a e o one sample pe second, whe e o each cu en he ol age a e age o he las 30 samples was used o pos -p ocessing. Th ee epe i ions o each expe imen we e ca ied ou o e i y he ep oducibili y o he ob ained esul s. The es s o he Fuel Cell Dynamic Load Cycle (FC-DLC) we e ca ied ou acco ding o he well-de ined es ing p o ocol [28], whe e 1 es cycle o 1200 s ep esen s a d i ing dis ance o abou 11 km o e a span o 20 min. 3. Resul s and discussion 3.1. Pola iza ion pe o mance The pola iza ion cu es o he h ee designs a wo di e en ope - a ing condi ions a e compa ed in Fig. 2a while powe s cu en densi y cu es a e shown in Fig. 2b. As shown, he cu es ob ained unde P10_T70_a15HR60_ c30HR55ai ope a ing condi ions (con inuous line in Fig. 2) exhibi be e pe o mance a any cu en densi y. This esul is consis en wi h p e ious s udies conduc ed on a 7-cell s ack wi h a simila design (bipola pla es used we e he same as in he i s design) [29] whe e he e ec s o changes in di e en ope a ing condi ions we e s udied and such ope a ing condi ion was iden i ied as he op imal one o he s ack. Fo he 1.0 mm hickness channels, when eaching ce ain cu en densi ies (abo e 0.6 A/cm 2 a P05_T65_a13HR60_ c25HR60ai and 0.8 A/cm 2 a P10_T70_a15HR60_ c30HR55ai ), he ol age d ops clea ly indica ing a pe o mance loss, while he 0.5 mm and he ape ed design will ope a e a leas un il 1.0 A/cm 2 . The ape ed design p esen s Fig. 1. a) Pla e designs wi h di e en channel dep h. F om le o igh : 1.0 mm, 0.5 mm, and ape ed (1.0–0.5 mm). b) CDM senso used in he expe imen s (S++, Ge many). c) Flow con igu a ion o he cell used in he es s. F on iew (le ) and pe spec i e ( igh ). Table 1 Ope a ing condi ions de ined in he expe imen al es s. Case Pg (ba ) T (◦C) RHa (%) RHc (%) λ a (−) λ c (−) Oxidan P10_T70_a15HR60_ c30HR55ai 1.0 70 60 55 1.5 3.0 Ai P05_T65_a13HR60_ c25HR60ai 0.5 65 60 60 1.3 2.5 Ai G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 4 he highes pe o mance o almos all he cu en densi y ange, eaching a maximum powe alue o 45 W a 1 A/cm 2 (Fig. 2). The supe io pe o mance o he ape ed design can be a ibu ed o he p og essi e accele a ion o he eac an uel gas in he ape ed channel as well as o he ai p essu e inc ease along he channel pa h, whe e oxygen is hen o ced in o he GDL enhancing he elec ochemical eac ion. The p og essi e gas accele a ion in he channel ac ually in- c eases also he wa e emo al capabili y and hus imp o es cell pe - o mance. These esul s a e in line wi h hose epo ed in li e a u e, whe e he posi i e ape ed slope is p o en o pe o m be e , especially a high cu en densi ies [30]. While i is ine i able ha he use o ape ed channels incu s a p essu e-loss penal y, his loss inc ease is gene ally qui e low (a ound 0.018 ba epo ed o a ape ed design wi h a ape a io o 0.1) [31]. The h ee designs es ed exhibi ed a p essu e d op below 0.1 ba , which is wi hin he p ecision limi s o he p essu e senso s ins alled in he es bench. 3.2. Cell empe a u e and cu en densi y dis ibu ion analysis The empe a u e and cu en dis ibu ion maps ob ained wi h he CDM senso a low, medium, and high cu en s (0.2, 0.4, and 0.7 A/cm 2 , espec i ely) o he h ee bipola pla e channel designs a e shown in Fig. 3. Maps ep esen he local cu en and empe a u e measu ed by he senso (placed be ween he ca hode bipola pla e and he ca hode cu en collec o ). In Fig. 3 a), he empe a u e alue is displayed on he z-axis, while on he x and y axes, he ac i e a ea is ep esen ed (wi h he segmen numbe as uni s, 7x7 o empe a u e and 14x14 o cu en ). The ai inle is loca ed a coo dina es (1,1) (blue a ow), while he hyd ogen inle is posi ioned a he co ne (1,7) ( ed a ow). In his manne , he gases ci cula e coun e cu en h ough he se pen ine, which is aligned wi h i s long edge pa allel o he y-axis, allowing he ai o exi a he co ne (7,7) and he hyd ogen a (7,1), as depic ed by he inse in Fig. 3 a). In all he designs, he empe a u e map p esen s an in e ed bowl igu e, wi h highe empe a u e alues a he cen al segmen . This is clea ly due o he ac ha , as he cell is no in e nally cooled by a e ige an ci cui bu a he by ex e nal ans, he hea gene a ed is e acua ed only om he cell ex e nal sides om he cen e ou wa d, c ea ing a adial empe a u e g adien wi h highes empe a- u es a he cen e . I can be no ed ha he a e age empe a u e o all es s is sligh ly highe han in ended, as he he mocouple moni o ing empe a u e is inse ed in o he bipola pla e bu ou side he ac i e a ea. This o se inc eases as he cu en densi y inc eases, so i is wo h no ing ha he condi ions ini ially in ended o be es ed a e no p ecisely he ones occu ing inside he cell (which indica es as well ha he di e - ences in he empe a u e wi hin he cell ha dwa e a e ele an ). I can be obse ed ha empe a u e is he pa ame e mos a ec ed by he design o he channels. In all cases, i is obse ed ha as he cu en inc eases he empe a u e ises and i s dis ibu ion becomes less homogeneous. A linea inc ease o he empe a u e s anda d de ia ion wi h cu en densi y was obse ed (depic ed in Fig. 4). In he case o he 1.0 mm se pen ine, a P05_T65_a13HR60_c25HR60ai , his design exhibi s he highes empe a u e alue ac oss he en i e ange o cu en densi y. Mo eo e , he inc ease in empe a u e wi h cu en densi y is e y sligh a low cu en alues bu inc eases signi ican ly a high cu en alues due o he highe hea gene a ion and poo hea managemen o he ex e nally ai -cooled cell ope a ion. The maximum di e ences in em- pe a u e and cu en densi y in he measu emen plane a e depic ed in Fig. 7 o he h ee designs a 0.1, 0.4 and 0.7 A/cm 2 . Tempe a u e di e ences a e in all cases below 4 ◦C. Also, he a ia ion in cu en dis ibu ion acco ding o he cu en Fig. 2. Pola iza ion (a) and powe (b) cu es o he di e en designs. ● ape ed se pen ine design, ■ 0.5 mm dep h se pen ine design and ▴ 1 mm dep h se pen ine design. Dashed line P05_T65_a13HR60_ c25HR60ai . Solid line P10_T70_a15HR60_ c30HR55ai . G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 5 densi y o he h ee channel designs can be obse ed a P05_T65_a13HR60_c25HR60ai in Fig. 4. As he cu en inc eases, he he e ogenei y in cu en dis ibu ion wi hin he cell also inc eases, as e idenced by he ise in s anda d de ia ion wi h cu en densi y. This e ec is consis en wi h p e iously epo ed li e a u e [22], which indica es ha when he uel cell is ope a ed a lowe o al cu en s, he di e ence in local cu en densi ies is smalle , and he dispe sion o cu en densi y dis ibu ion a highe cu en s is la ge . This cu en dispe sion is linked wi h high wa e p oduc ion and accumula ion, indica ing ha he ape ed design, wi h i s amp-shaped channels in he Fig. 3. Tempe a u e a) and Cu en b) dis ibu ion mapping a 0.2, 0.4 and 0.7 A/cm 2 o he h ee conside ed designs. Ope a ing condi ion: P05_T65_a13HR60_c25HR60ai . Ai inle /ou le loca ions ma ked wi h blue a ows, hyd ogen in ake/ou ake loca ions ma ked wi h ed a ows. (Fo in e p e a ion o he e e ences o colou in his igu e legend, he eade is e e ed o he Web e sion o his a icle.) G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 6 di ec ion o low, p esen s be e eac an dis ibu ion and wa e man- agemen as he cu en he e ogenei y is lowe o his design a any cu en densi y, wi h he maximum he e ogenei y obse ed in he 1.0 mm design. Maximum alues o cu en densi y in all designs a e p esen in he cen al pa o he ac i e a ea, which co esponds as well o he zone wi h highe empe a u e. The designs wi h 0.5 mm and 1.0 mm dep h exhibi a mo e p onounced (highe alues) in he a ea co e- sponding o he hyd ogen inle and ai ou le . The e is a dec ease in cu en in ensi y as eac an s a e consumed owa ds he ou le o he cell, due o he p og essi e educ ion o eac an concen a ion along he channel pa h oge he wi h he co esponding inc ease in he ela i e humidi y. Howe e , he ape ed design does no exhibi his end; ins ead, i s dis ibu ion is mo e pa allel o he (x,y) plane. This indica es ha he p og essi e na owing o he channel dep h along he low pa h e ec i ely enhances he uni o m anspo o gases owa ds he elec- ode, p omo ing he elec ochemical eac ion and imp o ing he o e all pe o mance o he cell. As he o e all cu en inc eases, he maximum cu en and empe - a u e di e ence inc eases o all con igu a ions (Fig. 5). The ape ed con igu a ion gene ally shows lowe cu en di e ences and gene ally exhibi s lowe o simila empe a u e di e ences, indica ing ha he ape ed design may esul in mo e uni o m cu en and he mal dis i- bu ion, especially a medium cu en s. 3.3. CDM s udy unde dynamic condi ions (load cycling es s) The h ee designs pe o med no mally du ing he load cycling es s simula ing d i ing condi ions (ca ied ou acco ding o es ing p o ocol [28]), esponding swi ly o changes in he se poin , wi h minimal ol age oscilla ions du ing pe iods o cons an in ensi y. Fig. 6 shows he ol age a ia ions o he cell o he h ee designs unde he wo ope - a ing condi ions conside ed, du ing he comple e load cycle. Fo bo h condi ions, he 1.0 mm design exhibi s a lowe ol age compa ed o he o he designs as i was he case du ing he pe o mance pola iza ion cu e es s (sec ion 3.1). CDM da a was also collec ed du ing dynamic es s. Fo he sake o simplici y, only he CDM images o he ape ed design es a e shown o one o he condi ions in Fig. 7, while Fig. 8 will ga he he quan i a i e esul s o all h ee es s a he wo ope a ing condi ions analyzed. Fi e ep esen a i e poin s we e selec ed. The i s and second ones a e se on a amp wi h low cu en ascen and descen , espec i ely; he hi d is on a medium cu en ascen ; he ou h is on a high cu en ascen ; and, inally, he i h is in a s eady s a e a high cu en . Also, he es esul s can be isualized in ideo o ma as Supplemen a y Ma e ial. Supplemen a y ideo ela ed o his a icle can be ound a h ps:// doi.o g/10.1016/j.jpowsou .2025.237625 Du ing he es , i was obse ed ha he empe a u e esponds apidly o posi i e cu en changes, inc easing i s alue. Howe e , when he cu en demand dec eases, he empe a u e d ops a a much slowe a e han i ises due o he limi a ions in he hea ans e a e, and a s eady s a e is no eached du ing pe iods o cons an demand. As a esul , he o e all e ec du ing he i s 800 s o he es is a g adual inc ease in empe a u e a each poin wi hin he cell. In he second phase, a highe cu en demands, he empe a u e dis ibu ion expe i- ences g ea e changes, wi h a less homogeneous dis ibu ion and he appea ance o ho spo s in he cen e o he cell, which ex end owa ds he sides. On he o he hand, he cu en dis ibu ion esponds almos ins an aneously o he demands o he d i ing cycle, quickly eaching a Fig. 4. Tempe a u e a) and Cu en b) mean (M; ba s) and s anda d de ia ion (SD; lines) a 0.1, 0.4 and 0.7 A/cm 2 o he h ee conside ed designs. Ope a ing condi ion: P05_T65_a13HR60_ c25HR60ai . Fig. 5. Maximum empe a u e a) and cu en b) di e ence a 0.1, 0.4 and 0.7 A/cm 2 o he h ee conside ed designs. Ope a ing condi ion: P05_T65_a13HR60_ c25HR60ai . G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 7 s eady s a e. As in he p e iously shown cases, i can be obse ed ha empe a u e inc eases as mo e cu en is demanded, and, in he same way, he ho- mogenei y in he cu en dis ibu ion dec eases a high densi y cu en s (Fig. 8). Also, he 0.5 mm design is always p esen ing he lowes a e age empe a u e while he ape ed design is he one wi h he highes em- pe a u e excep o low cu en densi y condi ions. Howe e , i is wo h no ing ha i we compa e he ise and all (poin 1 and poin 2 in Fig. 7) a he same cu en densi y, al hough he a e age empe a u e emains almos cons an , he s anda d de ia ion is highe in he case o he descen cu en , and hus a less homogeneous empe a u e dis ibu ion is ea u ed o ansien ope a ion while he cu en is dec eased. This phenomenon is obse ed a any cu en densi y, wi h empe a u e di - e ences be ween he load inc ease and load dec ease being mo e p o- nounced in he cen al a ea o he cell, whe e hea dissipa ion is mo e challenging. Fo example, a a cu en demand o 10 A, he s anda d de ia ion o he empe a u e dis ibu ion du ing he amp-up phase is 0.26, while o he amp-down phase i is 0.32. A a demand o 45 A, he s anda d de ia ion du ing he amp-up phase inc eases o 0.53, which is highe han a 10 A, as expec ed based on p e iously desc ibed ends. Fo he amp-down phase a 45 A, he s anda d de ia ion is 0.58. The same in e ed bowl shape obse ed a he a ious poin s in he pola iza ion cu e is also e iden du ing he dynamic es s. The non- homogenei y o cu en dis ibu ion, on he o he hand, ollows a linea end as cu en densi y inc eases. O he h ee designs es ed, he ape ed design exhibi s he mos uni o m cu en dis ibu ion ac oss he en i e a ea, ega dless o he cu en densi y alue o ope a ing condi- ion. Unlike he beha io obse ed wi h empe a u e, in he case o cu en dis ibu ion, he s anda d de ia ion emains cons an du ing bo h inc eases and dec eases. 4. Conclusions Elec o- he mal mapping was used o de e mine he pe o mance o Fig. 6. D i ing es esul s o he h ee design a a) P05_T65_a13HR60_ c25HR60ai and b) P10_T70_a15HR60_ c30HR55ai . Fig. 7. CDM measu emen s du ing he d i ing es o he ape ed design a P05_T65_a13HR60_ c25HR60ai . G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 8 h ee di e en 100 cm 2 low ield designs in a PEM uel cell. The pe - o mance o each design was assessed by analyzing he su ace dis i- bu ion o cu en and empe a u e a di e en cell ol ages unde s a iona y and dynamic ope a ion. The s udy unco e ed ela ionships be ween local cu en densi ies and local empe a u es as well as he in luence o he channel design in he cell pe o mance. A high cu en densi ies, he non-uni o mi y in empe a u e and cu en densi y dis- ibu ion inc eases linea ly. The a ea o highes empe a u es is loca ed a he cen e o he cell due o he ex e nal ai -cooling design, while he a ea o high cu en densi ies is obse ed nea he hyd ogen inle and p og essi ely dec eases as he hyd ogen is consumed along i s pa h o- wa ds he ou le . The ape ed design exhibi s supe io pe o mance compa ed o he o he designs, pa icula ly a cu en densi ies abo e 0.5 A/cm 2 . Addi- ionally, i demons a es he leas a ia ion in bo h su ace empe a u e dis ibu ion and cu en densi y unde any ope a ing condi ion. This demons a es he supe io capabili y o a p og essi ely educed passage a ea in enhancing gas anspo owa ds he elec ode, as well as an imp o ed wa e managemen wi hin he cell as p og essi e gas accel- e a ion p omo es wa e emo al along he channels. Con e sely, he 1.0 mm channel hickness design pe o ms he wo s , wi h a mo e p onounced ol age d op and highe mass anspo po- la iza ion egion, obse ed also du ing he dynamic load es s. When compa ing he ise and all a he same cu en densi y, he s anda d de ia ion o empe a u e is highe du ing he cu en dec ease, leading o a less homogeneous empe a u e dis ibu ion in ansien ope a ion. Fo cu en dis ibu ion, he s anda d de ia ion emains cons an du ing bo h inc eases and dec eases. CRediT au ho ship con ibu ion s a emen G.M. Cabello Gonz´ alez: W i ing – e iew & edi ing, W i ing – o iginal d a , Visualiza ion, Valida ion, So wa e, Me hodology, In es iga ion, Fo mal analysis, Da a cu a ion. Bal asa Toha ias: W i ing – e iew & edi ing, Visualiza ion, Valida ion, So wa e, In es- iga ion, Fo mal analysis, Da a cu a ion. Felipe Rosa: Supe ision, Re- sou ces, P ojec adminis a ion, Funding acquisi ion, Concep ualiza ion. J.J. Gue a: Supe ision, Resou ces, P ojec adminis a ion, Funding acquisi ion. Al edo I anzo: Supe ision, Resou ces, P ojec adminis- a ion, Me hodology, In es iga ion, Concep ualiza ion. Decla a ion o compe ing in e es The au ho s decla e ha hey ha e no known compe ing inancial in e es s o pe sonal ela ionships ha could ha e appea ed o in luence he wo k epo ed in his pape . Acknowledgemen G an TED2021-130706B-I00 unded by MCIN/AEI/10.13039/ 501100011033 and by Eu opean Union “Nex Gene a ionEU”/PRTR, and g an PID2023-146745OB-I00 unded by MICIU/AEI/10.13039/ 501100011033 and by ERDF/EU. Expe imen al in as uc u e unded by UNSE15-CE2962 and EQC-2018-004258-P by MCIN/AEI/10.13039/ 501100011033, co- unded wi h ERDF unds. Con ibu ion om Bal asa Toha ias Funded by CDTI, wi h he suppo om Minis e io de Ciencia e Inno aci´ on. Financiado po la Uni´ on Eu opea- Nex Gene a ion EU (p ojec H2ENRY CER-20231027). Au ho s hank Pablo I anzo o he ealiza ion o he ideo in Supplemen a y Ma e ial. Da a a ailabili y Da a will be made a ailable on eques . Re e ences [1] H. Liu, I. Khan, A. Zaka i, M. Alha hi, Roles o ilemma in he wo ld ene gy sec o and ansi ion owa ds sus ainable ene gy: a s udy o economic g ow h and he en i onmen , Ene gy Policy 170 (2022) 113238, h ps://doi.o g/10.1016/j. enpol.2022.113238. [2] H. Ri chie, Sec o by sec o : whe e do global g eenhouse gas emissions come om? Ou Wo ld Da a (2020). Published online: h ps://ou wo ldinda a.o g/ghg- emissions-by-sec o . [3] E. Papadis, G. Tsa sa onis, Challenges in he deca boniza ion o he ene gy sec o , Ene gy (Calg.) 205 (2020) 118025, h ps://doi.o g/10.1016/j. ene gy.2020.118025. [4] D.A. Cullen, K.C. Neye lin, R.K. Ahluwalia, R. Mukundan, K.L. Mo e, R.L. Bo up, e al., New oads and challenges o uel cells in hea y-du y anspo a ion, Na . Ene gy 6 (2021) 462–474, h ps://doi.o g/10.1038/s41560-021-00775-z. Fig. 8. (a) P05_T65_a13HR60_ c25HR60ai (b) P10_T70_a15HR60_ c30HR55ai . Poin s 1 o 5 co espond o hose ma ked in he d i ing es in Fig. 7. G.M.C. Gonz´ alez e al. Jou nal o Powe Sou ces 652 (2025) 237625 9