{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,16]],"date-time":"2024-06-16T13:16:36Z","timestamp":1718543796373},"reference-count":31,"publisher":"Walter de Gruyter GmbH","issue":"8","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,8,26]]},"abstract":"<jats:title>Zusammenfassung<\/jats:title>\n               <jats:p>Es werden verteilt-parametrische Modelle hergeleitet, die das nichtlineare fraktionale Verhalten von Lithium-Ionen-Zellen beschreiben. Die vorgestellten Modelle interpolieren lineare verteilt-parametrische Kleinsignalmodelle, die sich als diffusive Realisierungen fraktionaler \u00dcbertragungsfunktionen in den Arbeitspunkten ergeben. Diese \u00dcbertragungsfunktionen werden mittels Impedanzspektroskopie parametriert. Zur endlich-dimensionalen Approximation der vorgestellten Modelle werden Krylov-Unterraum-Verfahren und Finite-Elemente-Ans\u00e4tze genutzt. Diese nichtlinearen konzentriert-parametrischen Modelle werden in Simulationsstudien miteinander verglichen und anhand experimenteller Daten validiert.<\/jats:p>","DOI":"10.1515\/auto-2021-0046","type":"journal-article","created":{"date-parts":[[2021,8,11]],"date-time":"2021-08-11T21:56:28Z","timestamp":1628718988000},"page":"722-733","source":"Crossref","is-referenced-by-count":1,"title":["Verteilt-parametrische Modelle zur Beschreibung des nichtlinearen fraktionalen Verhaltens von Lithium-Ionen-Zellen"],"prefix":"10.1515","volume":"69","author":[{"given":"Lukas","family":"Tappeiner","sequence":"first","affiliation":[{"name":"UMIT - Universit\u00e4t f\u00fcr Gesundheitswissenschaften , Informatik und Technik GmbH, Institut f\u00fcr Automatisierungs- und Regelungstechnik , Eduard-Walln\u00f6fer-Zentrum 1 , Hall in Tirol , \u00d6sterreich"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc","family":"Oldenburger","sequence":"additional","affiliation":[{"name":"Mercedes-Benz AG , Wilhelm-Runge Str. 11 , Ulm , Deutschland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benjamin","family":"Bed\u00fcrftig","sequence":"additional","affiliation":[{"name":"Otto von Guericke University Magdeburg , Universit\u00e4tsplatz 2 , Magdeburg , Deutschland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank","family":"Woittennek","sequence":"additional","affiliation":[{"name":"UMIT - Universit\u00e4t f\u00fcr Gesundheitswissenschaften , Informatik und Technik GmbH, Institut f\u00fcr Automatisierungs- und Regelungstechnik , Eduard-Walln\u00f6fer-Zentrum 1 , Hall in Tirol , \u00d6sterreich"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2021,8,10]]},"reference":[{"key":"2023033110334149290_j_auto-2021-0046_ref_001","doi-asserted-by":"crossref","unstructured":"M. Abouzari, F. Berkemeier, G. Schmitz and D. Wilmer, \u201cOn the physical interpretation of constant phase elements\u201d, Solid State Ionics, Jg.\u2009180, Nr.\u200914, S.\u2009922\u2014927, 2009.","DOI":"10.1016\/j.ssi.2009.04.002"},{"key":"2023033110334149290_j_auto-2021-0046_ref_002","doi-asserted-by":"crossref","unstructured":"J. Audounet, D. Matignon and G. Montseny, \u201cSemi-linear diffusive representations for nonlinear fractional differential systems\u201d, in Nonlinear control in the Year 2000, London: Springer London, 2001, S.\u200973\u201482.","DOI":"10.1007\/BFb0110208"},{"key":"2023033110334149290_j_auto-2021-0046_ref_003","doi-asserted-by":"crossref","unstructured":"K. Biswas Sen and P.\u2009K. Dutta, \u201cRealization of a constant phase element and its performance study in a differentiator circuit\u201d, IEEE Transactions on Circuits and Systems II: Express Briefs, Jg.\u200953, Nr.\u20099, S.\u2009802\u2014806, 2006.","DOI":"10.1109\/TCSII.2006.879102"},{"key":"2023033110334149290_j_auto-2021-0046_ref_004","unstructured":"S. Buller, \u201cImpedance based simulation models for energy storage devices in advanced automotive power systems\u201d, Diss., Aachen, 2003."},{"key":"2023033110334149290_j_auto-2021-0046_ref_005","doi-asserted-by":"crossref","unstructured":"R.\u2009F. Curtain and H. Zwart, An Introduction to Infinite Dimensional Linear Systems Theory. New York: Springer-Verlag New York, 1995.","DOI":"10.1007\/978-1-4612-4224-6"},{"key":"2023033110334149290_j_auto-2021-0046_ref_006","unstructured":"M. Eckert, \u201cModellbasierte Identifikation fraktionaler Systeme und ihre Anwendung auf die Lithium-Ionen-Zelle\u201d, Diss., Karlsruher Institut f\u00fcr Technologie (KIT), 2017."},{"key":"2023033110334149290_j_auto-2021-0046_ref_007","doi-asserted-by":"crossref","unstructured":"S. Gantenbein, M. Weiss and E. Ivers-Tiff\u00e9e, \u201cImpedance based time-domain modeling of lithium-ion batteries: Part I\u201d, Journal of Power Sources, Jg.\u2009379, S.\u2009317\u2014327, 2018.","DOI":"10.1016\/j.jpowsour.2018.01.043"},{"key":"2023033110334149290_j_auto-2021-0046_ref_008","doi-asserted-by":"crossref","unstructured":"M. Hannan, M. Lipu, A. Hussain and A. Mohamed, \u201cA review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: Challenges and recommendations\u201d, Renewable and Sustainable Energy Reviews, Jg.\u200978, S.\u2009834\u2014854, 2017.","DOI":"10.1016\/j.rser.2017.05.001"},{"key":"2023033110334149290_j_auto-2021-0046_ref_009","doi-asserted-by":"crossref","unstructured":"K. Hariharan and V. Kumar, \u201cA nonlinear equivalent circuit model for lithium ion cells\u201d, Journal of Power Sources, Jg.\u2009222, S.\u2009210\u2013217, 2013.","DOI":"10.1016\/j.jpowsour.2012.08.090"},{"key":"2023033110334149290_j_auto-2021-0046_ref_010","doi-asserted-by":"crossref","unstructured":"C. Harkort and J. Deutscher, \u201cKrylov subspace methods for linear infinite-dimensional systems\u201d, IEEE Transactions on Automatic Control, Jg.\u200956, Nr.\u20092, S.\u2009441\u2013447, 2011.","DOI":"10.1109\/TAC.2010.2090063"},{"key":"2023033110334149290_j_auto-2021-0046_ref_011","doi-asserted-by":"crossref","unstructured":"C. Hernandez-Jaimes, J. Vazquez-Arenas, J. Vernon-Carter and J. Alvarez-Ramirez, \u201cA nonlinear Cole-Cole model for large-amplitude electrochemical impedance spectroscopy\u201d, Chemical Engineering Science, Jg.\u2009137, S.\u20091\u20138, 2015.","DOI":"10.1016\/j.ces.2015.06.015"},{"key":"2023033110334149290_j_auto-2021-0046_ref_012","doi-asserted-by":"crossref","unstructured":"J. Huang, J. Zhang, Z. Li, S. Song, und N. Wu, \u201cExploring differences between charge and discharge of LiMn2O4\/Li half-cell with dynamic electrochemical impedance spectroscopy\u201d, Electrochimica Acta, Jg.\u2009131, S.\u2009228\u2013235, 2014, Electrochemical Impedance Spectroscopy.","DOI":"10.1016\/j.electacta.2014.02.030"},{"key":"2023033110334149290_j_auto-2021-0046_ref_013","unstructured":"J. Illig, \u201cPhysically based Impedance Modelling of Lithium-Ion Cells\u201d, Diss., 2014."},{"key":"2023033110334149290_j_auto-2021-0046_ref_014","doi-asserted-by":"crossref","unstructured":"A. Jokar, B. Rajabloo, M. D\u00e9silets and M. Lacroix, \u201cReview of simplified pseudo-two-dimensional models of lithium-ion batteries\u201d, Journal of Power Sources, Jg.\u2009327, S.\u200944\u201355, 2016.","DOI":"10.1016\/j.jpowsour.2016.07.036"},{"key":"2023033110334149290_j_auto-2021-0046_ref_015","doi-asserted-by":"crossref","unstructured":"U. Krewer, F. Roder, E. Harinath, R.\u2009D. Braatz, B. Bed\u00fcrftig and R. Findeisen, \u201cReview\u2014dynamic models of li-ion batteries for diagnosis and operation: a review and perspective\u201d, Journal of The Electrochemical Society, Jg.\u2009165, Nr.\u200916, S.\u2009A3656\u2013A3673, 2018.","DOI":"10.1149\/2.1061814jes"},{"key":"2023033110334149290_j_auto-2021-0046_ref_016","doi-asserted-by":"crossref","unstructured":"M. Kupper, A. Creutz, O. Stark, S. Krebs and S. Hohmann, \u201cCurrent and state of charge estimation of lithium-ion battery packs using distributed fractional extended Kalman filters\u201d, in 2019 IEEE Conference on Control Technology and Applications (CCTA), 2019, S.\u2009462469.","DOI":"10.1109\/CCTA.2019.8920558"},{"key":"2023033110334149290_j_auto-2021-0046_ref_017","doi-asserted-by":"crossref","unstructured":"S. Liu, J. Jiang, W. Shi, Z. Ma, L.\u2009Y. Wang and H. Guo, \u201cButler-Volmer-equation-based electrical model for high-power lithium titanate batteries used in electric vehicles\u201d, IEEE Transactions on Industrial Electronics, Jg.\u200962, Nr.\u200912, S.\u20097557\u20137568, 2015.","DOI":"10.1109\/TIE.2015.2449776"},{"key":"2023033110334149290_j_auto-2021-0046_ref_018","doi-asserted-by":"crossref","unstructured":"M. Lucu, E. Martinez-Laserna, I. Gandiaga, K. Liu, H. Camblong, W. Widanage and J. Marco, \u201cData-driven non-parametric Li-ion battery ageing model aiming at learning from real operation data \u2013 Part A: Storage operation\u201d, Journal of Energy Storage, Jg.\u200930, 101409, 2020.","DOI":"10.1016\/j.est.2020.101409"},{"key":"2023033110334149290_j_auto-2021-0046_ref_019","doi-asserted-by":"crossref","unstructured":"J. Macdonald, \u201cNew aspects of some small-signal ac frequency response functions\u201d, Solid State Ionics, Jg.\u200915, S.\u2009159\u2013161, 1985.","DOI":"10.1016\/0167-2738(85)90095-5"},{"key":"2023033110334149290_j_auto-2021-0046_ref_020","doi-asserted-by":"crossref","unstructured":"G. Montseny, \u201cDiffusive representation of pseudodifferential time-operators\u201d, ESAIM: Proc., Jg.\u20095, 159175, 1998.","DOI":"10.1051\/proc:1998005"},{"key":"2023033110334149290_j_auto-2021-0046_ref_021","doi-asserted-by":"crossref","unstructured":"B. Moore, \u201cPrincipal component analysis in linear systems: controllability, observability, and model reduction\u201d, IEEE Trans. Automat. Control, Jg.\u200926, 17\u201332, 1 1981.","DOI":"10.1109\/TAC.1981.1102568"},{"key":"2023033110334149290_j_auto-2021-0046_ref_022","doi-asserted-by":"crossref","unstructured":"P.\u2009L. Moss, G. Au, E.\u2009J. Plichta and J.\u2009P. Zheng, \u201cAn electrical circuit for modeling the dynamic response of Li-ion polymer batteries\u201d, Journal of The Electrochemical Society, 155, 12, A986, 2008.","DOI":"10.1149\/1.2999375"},{"key":"2023033110334149290_j_auto-2021-0046_ref_023","doi-asserted-by":"crossref","unstructured":"H. Mu, R. Xiong, H. Zheng, Y. Chang and Z. Chen, \u201cA novel fractional order model based state-of-charge estimation method for lithium-ion battery\u201d, Applied Energy, Jg.\u2009207, S.\u2009384\u2013393, 2017.","DOI":"10.1016\/j.apenergy.2017.07.003"},{"key":"2023033110334149290_j_auto-2021-0046_ref_024","doi-asserted-by":"crossref","unstructured":"M. Oldenburger, B. Bed\u00fcrftig, A. Gruhle and E. Richter, \u201cA new approach to measure the non-linear Butler-Volmer behavior of electrochemical systems in the time domain\u201d, Journal of Energy Storage, Jg.\u200914, S.\u200916\u201321, 2017.","DOI":"10.1016\/j.est.2017.09.002"},{"key":"2023033110334149290_j_auto-2021-0046_ref_025","doi-asserted-by":"crossref","unstructured":"T. Osaka, D. Mukoyama and H. Nara, \u201cReview\u2014development of diagnostic process for commercially available batteries, especially lithium ion battery, by electrochemical impedance spectroscopy\u201d, Journal of The Electrochemical Society, Jg.\u2009162, Nr.\u200914, S.\u2009A2529\u2013A2537, 2015.","DOI":"10.1149\/2.0141514jes"},{"key":"2023033110334149290_j_auto-2021-0046_ref_026","doi-asserted-by":"crossref","unstructured":"A. Oustaloup, F. Levron, B. Mathieu and F. Nanot, \u201cFrequency-band complex noninteger differentiator: characterization and synthesis\u201d, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Jg.\u200947, Nr.\u20091, S.\u200925\u201339, 2000.","DOI":"10.1109\/81.817385"},{"key":"2023033110334149290_j_auto-2021-0046_ref_027","unstructured":"I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Mathematics in Science and Engineering. London: Academic Press, 1999."},{"key":"2023033110334149290_j_auto-2021-0046_ref_028","doi-asserted-by":"crossref","unstructured":"T. Poinot and J.-C. Trigeassou, \u201cA method for modelling and simulation of fractional systems\u201d, Signal Processing, Jg.\u200983, Nr.\u200911, S.\u20092319\u20132333, 2003.","DOI":"10.1016\/S0165-1684(03)00185-3"},{"key":"2023033110334149290_j_auto-2021-0046_ref_029","unstructured":"J. Reddy, An Introduction to the Finite Element Method, McGraw-Hill Series in Mechanical Engineering. McGraw-Hill, 2006."},{"key":"2023033110334149290_j_auto-2021-0046_ref_030","doi-asserted-by":"crossref","unstructured":"S. Shen, M. Sadoughi, X. Chen, M. Hong and C. Hu, \u201cA deep learning method for online capacity estimation of lithium-ion batteries\u201d, Journal of Energy Storage, Jg.\u200925, 100817, 2019.","DOI":"10.1016\/j.est.2019.100817"},{"key":"2023033110334149290_j_auto-2021-0046_ref_031","doi-asserted-by":"crossref","unstructured":"M. Torchio, L. Magni, R.\u2009B. Gopaluni, R.\u2009D. Braatz and D.\u2009M. Raimondo, \u201cLIONSIMBA: a Matlab framework based on a finite volume model suitable for li-ion battery design, simulation, and control\u201d, Journal of The Electrochemical Society, Jg.\u2009163, Nr.\u20097, S.\u2009A1192\u2013A1205, 2016.","DOI":"10.1149\/2.0291607jes"}],"container-title":["at - Automatisierungstechnik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0046\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0046\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T11:59:34Z","timestamp":1680263974000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0046\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,1]]},"references-count":31,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2021,8,10]]},"published-print":{"date-parts":[[2021,8,26]]}},"alternative-id":["10.1515\/auto-2021-0046"],"URL":"https:\/\/doi.org\/10.1515\/auto-2021-0046","relation":{},"ISSN":["2196-677X","0178-2312"],"issn-type":[{"value":"2196-677X","type":"electronic"},{"value":"0178-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2021,8,1]]}}}