{"title":"Dynamic model for estimation of hydrogen flow rate in hydrogen recirculation system for the PEM fuel cell stack","authors":"Po Hong, Pingwen Ming, Cunman Zhang","doi":"10.1016/j.etran.2025.100438","DOIUrl":null,"url":null,"abstract":"<div><div>Hydrogen utilization rate is critical for hydrogen-electricity conversion efficiency of the PEM fuel cell system. Significant part of hydrogen is inevitably wasted as a result of essential periodical vent of accumulated gaseous and liquid impurities, which degrades hydrogen flow rate and hydrogen concentration, in hydrogen recirculation system (HRS) for anode reaction chamber of the stack. Estimation of hydrogen flow rate is the key to improving hydrogen utilization rate, because impurities can be vented only when actual flow rate is lower than acceptable range. This paper investigates dynamic model of the HRS to construct connection between hydrogen flow rate and obtainable parameters. Firstly, lumped-parameter dynamic model is established for the recirculation pump-driven and ejector-driven HRS. Coupling mechanism between hydrogen flow rate and pressure of each recirculation apparatus is introduced to dynamic model, and then transfer function between pressure at inlet and outlet of anode chamber is derived for estimation of hydrogen flow rate in comparison. According to Nyquist plot, the recirculation pump-driven HRS behaves as a common first-order or second-order inertial system while the ejector-driven HRS behaves as a novel shifted first-order system. Secondly, effect of purge valve action on flow rate of the ejector-driven HRS is analyzed in analogical way based on transition between operating points on ejector characteristic curve. It shows that opening purge valve contributes to larger flow rate, even if pressure at backflow inlet is decreased. Thirdly, experiment on plant of an ejector-driven HRS shows that Nyquist plot of transfer function in complex coordinate is a circle with origin included and it's in consistent with that by dynamic model. Besides, relation is found between circle radius and flow rate at ejector outlet. Finally, experiment result on a 120 kW fuel cell system validates explanation to effect of opening purge valve on hydrogen flow rate of the ejector-driven HRS.</div></div>","PeriodicalId":36355,"journal":{"name":"Etransportation","volume":"25 ","pages":"Article 100438"},"PeriodicalIF":17.0000,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Etransportation","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590116825000451","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
引用次数: 0
Abstract
Hydrogen utilization rate is critical for hydrogen-electricity conversion efficiency of the PEM fuel cell system. Significant part of hydrogen is inevitably wasted as a result of essential periodical vent of accumulated gaseous and liquid impurities, which degrades hydrogen flow rate and hydrogen concentration, in hydrogen recirculation system (HRS) for anode reaction chamber of the stack. Estimation of hydrogen flow rate is the key to improving hydrogen utilization rate, because impurities can be vented only when actual flow rate is lower than acceptable range. This paper investigates dynamic model of the HRS to construct connection between hydrogen flow rate and obtainable parameters. Firstly, lumped-parameter dynamic model is established for the recirculation pump-driven and ejector-driven HRS. Coupling mechanism between hydrogen flow rate and pressure of each recirculation apparatus is introduced to dynamic model, and then transfer function between pressure at inlet and outlet of anode chamber is derived for estimation of hydrogen flow rate in comparison. According to Nyquist plot, the recirculation pump-driven HRS behaves as a common first-order or second-order inertial system while the ejector-driven HRS behaves as a novel shifted first-order system. Secondly, effect of purge valve action on flow rate of the ejector-driven HRS is analyzed in analogical way based on transition between operating points on ejector characteristic curve. It shows that opening purge valve contributes to larger flow rate, even if pressure at backflow inlet is decreased. Thirdly, experiment on plant of an ejector-driven HRS shows that Nyquist plot of transfer function in complex coordinate is a circle with origin included and it's in consistent with that by dynamic model. Besides, relation is found between circle radius and flow rate at ejector outlet. Finally, experiment result on a 120 kW fuel cell system validates explanation to effect of opening purge valve on hydrogen flow rate of the ejector-driven HRS.
期刊介绍:
eTransportation is a scholarly journal that aims to advance knowledge in the field of electric transportation. It focuses on all modes of transportation that utilize electricity as their primary source of energy, including electric vehicles, trains, ships, and aircraft. The journal covers all stages of research, development, and testing of new technologies, systems, and devices related to electrical transportation.
The journal welcomes the use of simulation and analysis tools at the system, transport, or device level. Its primary emphasis is on the study of the electrical and electronic aspects of transportation systems. However, it also considers research on mechanical parts or subsystems of vehicles if there is a clear interaction with electrical or electronic equipment.
Please note that this journal excludes other aspects such as sociological, political, regulatory, or environmental factors from its scope.