Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors
Abstract Joint time–frequency analysis is an emerging method for interpreting the underlying physics in fuel cells, batteries, and supercapacitors. To increase the reliability of time–frequency analysis, a theoretical correlation between frequency‐domain stationary analysis and time‐domain transient...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Carbon Energy |
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| Online Access: | https://doi.org/10.1002/cey2.360 |
| _version_ | 1827367780919279616 |
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| author | Weiheng Li Qiu‐An Huang Yuxuan Bai Jia Wang Linlin Wang Yuyu Liu Yufeng Zhao Xifei Li Jiujun Zhang |
| author_facet | Weiheng Li Qiu‐An Huang Yuxuan Bai Jia Wang Linlin Wang Yuyu Liu Yufeng Zhao Xifei Li Jiujun Zhang |
| author_sort | Weiheng Li |
| collection | DOAJ |
| description | Abstract Joint time–frequency analysis is an emerging method for interpreting the underlying physics in fuel cells, batteries, and supercapacitors. To increase the reliability of time–frequency analysis, a theoretical correlation between frequency‐domain stationary analysis and time‐domain transient analysis is urgently required. The present work formularizes a thorough model reduction of fractional impedance spectra for electrochemical energy devices involving not only the model reduction from fractional‐order models to integer‐order models and from high‐ to low‐order RC circuits but also insight into the evolution of the characteristic time constants during the whole reduction process. The following work has been carried out: (i) the model‐reduction theory is addressed for typical Warburg elements and RC circuits based on the continued fraction expansion theory and the response error minimization technique, respectively; (ii) the order effect on the model reduction of typical Warburg elements is quantitatively evaluated by time–frequency analysis; (iii) the results of time–frequency analysis are confirmed to be useful to determine the reduction order in terms of the kinetic information needed to be captured; and (iv) the results of time–frequency analysis are validated for the model reduction of fractional impedance spectra for lithium‐ion batteries, supercapacitors, and solid oxide fuel cells. In turn, the numerical validation has demonstrated the powerful function of the joint time–frequency analysis. The thorough model reduction of fractional impedance spectra addressed in the present work not only clarifies the relationship between time‐domain transient analysis and frequency‐domain stationary analysis but also enhances the reliability of the joint time–frequency analysis for electrochemical energy devices. |
| first_indexed | 2024-03-08T09:17:49Z |
| format | Article |
| id | doaj.art-1d05ac65262346ecb95bb6be2592f0a5 |
| institution | Directory Open Access Journal |
| issn | 2637-9368 |
| language | English |
| last_indexed | 2024-03-08T09:17:49Z |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Carbon Energy |
| spelling | doaj.art-1d05ac65262346ecb95bb6be2592f0a52024-01-31T13:56:25ZengWileyCarbon Energy2637-93682024-01-0161n/an/a10.1002/cey2.360Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitorsWeiheng Li0Qiu‐An Huang1Yuxuan Bai2Jia Wang3Linlin Wang4Yuyu Liu5Yufeng Zhao6Xifei Li7Jiujun Zhang8Institute for Sustainable Energy/College of Sciences Shanghai University Shanghai ChinaInstitute for Sustainable Energy/College of Sciences Shanghai University Shanghai ChinaInstitute for Sustainable Energy/College of Sciences Shanghai University Shanghai ChinaShanxi Key Laboratory of Nanomaterials and Nanotechnology, School of Mechanical and Electrical Engineering Xi'an University of Architecture and Technology Xi'an Shaanxi ChinaInstitute for Sustainable Energy/College of Sciences Shanghai University Shanghai ChinaInstitute for Sustainable Energy/College of Sciences Shanghai University Shanghai ChinaInstitute for Sustainable Energy/College of Sciences Shanghai University Shanghai ChinaXi'an Key Laboratory of New Energy Materials and Devices, School of Materials Science and Engineering, Institute of Advanced Electrochemical Energy Xi'an University of Technology Xi'an Shaanxi ChinaInstitute for Sustainable Energy/College of Sciences Shanghai University Shanghai ChinaAbstract Joint time–frequency analysis is an emerging method for interpreting the underlying physics in fuel cells, batteries, and supercapacitors. To increase the reliability of time–frequency analysis, a theoretical correlation between frequency‐domain stationary analysis and time‐domain transient analysis is urgently required. The present work formularizes a thorough model reduction of fractional impedance spectra for electrochemical energy devices involving not only the model reduction from fractional‐order models to integer‐order models and from high‐ to low‐order RC circuits but also insight into the evolution of the characteristic time constants during the whole reduction process. The following work has been carried out: (i) the model‐reduction theory is addressed for typical Warburg elements and RC circuits based on the continued fraction expansion theory and the response error minimization technique, respectively; (ii) the order effect on the model reduction of typical Warburg elements is quantitatively evaluated by time–frequency analysis; (iii) the results of time–frequency analysis are confirmed to be useful to determine the reduction order in terms of the kinetic information needed to be captured; and (iv) the results of time–frequency analysis are validated for the model reduction of fractional impedance spectra for lithium‐ion batteries, supercapacitors, and solid oxide fuel cells. In turn, the numerical validation has demonstrated the powerful function of the joint time–frequency analysis. The thorough model reduction of fractional impedance spectra addressed in the present work not only clarifies the relationship between time‐domain transient analysis and frequency‐domain stationary analysis but also enhances the reliability of the joint time–frequency analysis for electrochemical energy devices.https://doi.org/10.1002/cey2.360battery, fuel cell, supercapacitorfractional impedance spectroscopymodel reductiontime–frequency analysis |
| spellingShingle | Weiheng Li Qiu‐An Huang Yuxuan Bai Jia Wang Linlin Wang Yuyu Liu Yufeng Zhao Xifei Li Jiujun Zhang Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors Carbon Energy battery, fuel cell, supercapacitor fractional impedance spectroscopy model reduction time–frequency analysis |
| title | Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors |
| title_full | Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors |
| title_fullStr | Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors |
| title_full_unstemmed | Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors |
| title_short | Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors |
| title_sort | model reduction of fractional impedance spectra for time frequency analysis of batteries fuel cells and supercapacitors |
| topic | battery, fuel cell, supercapacitor fractional impedance spectroscopy model reduction time–frequency analysis |
| url | https://doi.org/10.1002/cey2.360 |
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