Identification of Fractional Order Models: Application to 1D Solid Diffusion System Model of Lithium Ion Cell

W. Allafi, Ivan Zajic, Keith J. Burnham

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

In this paper the simplified refined instrumental variable method for fractional order transfer function model identification is applied to a simulated diffusion system of concentration of the lithium ions in a battery cell. The diffusion process is represented by a 1D spherical diffusion partial differential equation of concentration and is solved numerically by finite volume method (FVM) in spatial and temporal domains. The fractional transfer function (FTF) model order is selected and model parameters are identified based on sampled input-output data. The main advantage of using FTF model for simulation purposes is the increased accuracy, as compared to FVM, while retaining simulation simplicity of having a reduced order model
Original languageEnglish
Title of host publicationAdvances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering
EditorsHenry Selvaraj, Dawid Zydek, Grzegorz Chmaj
PublisherSpringer Verlag
Pages63-68
Volume1089
ISBN (Print)978-3-319-08421-3
DOIs
Publication statusPublished - 2015
Event23rd International Conference on Systems Engineering - Las Vegas, United States
Duration: 19 Aug 201421 Aug 2014
Conference number: 23

Conference

Conference23rd International Conference on Systems Engineering
Abbreviated titleICSEng2014
CountryUnited States
CityLas Vegas
Period19/08/1421/08/14

Fingerprint

Diffusion in solids
Identification (control systems)
Lithium
Ions
Transfer functions
Finite volume method
Partial differential equations

Bibliographical note

This paper is not available on the repository. The paper was given at the 23rd International Conference on Systems Engineering, ICSEng 2014; Las Vegas, NV; United States; 19 August 2014 through 21 August 2014

Keywords

  • Diffusion system
  • Fractional order model reduction
  • Fractional order systems
  • Simplified refined instrumental variable method

Cite this

Allafi, W., Zajic, I., & Burnham, K. J. (2015). Identification of Fractional Order Models: Application to 1D Solid Diffusion System Model of Lithium Ion Cell. In H. Selvaraj, D. Zydek, & G. Chmaj (Eds.), Advances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering (Vol. 1089, pp. 63-68). Springer Verlag. https://doi.org/10.1007/978-3-319-08422-0_9

Identification of Fractional Order Models: Application to 1D Solid Diffusion System Model of Lithium Ion Cell. / Allafi, W.; Zajic, Ivan; Burnham, Keith J.

Advances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering. ed. / Henry Selvaraj; Dawid Zydek; Grzegorz Chmaj. Vol. 1089 Springer Verlag, 2015. p. 63-68.

Research output: Chapter in Book/Report/Conference proceedingChapter

Allafi, W, Zajic, I & Burnham, KJ 2015, Identification of Fractional Order Models: Application to 1D Solid Diffusion System Model of Lithium Ion Cell. in H Selvaraj, D Zydek & G Chmaj (eds), Advances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering. vol. 1089, Springer Verlag, pp. 63-68, 23rd International Conference on Systems Engineering, Las Vegas, United States, 19/08/14. https://doi.org/10.1007/978-3-319-08422-0_9
Allafi W, Zajic I, Burnham KJ. Identification of Fractional Order Models: Application to 1D Solid Diffusion System Model of Lithium Ion Cell. In Selvaraj H, Zydek D, Chmaj G, editors, Advances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering. Vol. 1089. Springer Verlag. 2015. p. 63-68 https://doi.org/10.1007/978-3-319-08422-0_9
Allafi, W. ; Zajic, Ivan ; Burnham, Keith J. / Identification of Fractional Order Models: Application to 1D Solid Diffusion System Model of Lithium Ion Cell. Advances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering. editor / Henry Selvaraj ; Dawid Zydek ; Grzegorz Chmaj. Vol. 1089 Springer Verlag, 2015. pp. 63-68
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