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

W. Allafi; Ivan Zajic; Keith J. Burnham

doi:10.1007/978-3-319-08422-0_9

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 proceeding › Chapter › peer-review

5 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 language	English
Title of host publication	Advances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering
Editors	Henry Selvaraj, Dawid Zydek, Grzegorz Chmaj
Publisher	Springer Verlag
Pages	63-68
Volume	1089
ISBN (Print)	978-3-319-08421-3
DOIs	https://doi.org/10.1007/978-3-319-08422-0_9
Publication status	Published - 2015
Event	23rd International Conference on Systems Engineering - Las Vegas, United States Duration: 19 Aug 2014 → 21 Aug 2014 Conference number: 23

Conference

Conference	23rd International Conference on Systems Engineering
Abbreviated title	ICSEng2014
Country/Territory	United States
City	Las Vegas
Period	19/08/14 → 21/08/14

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

Access to Document

10.1007/978-3-319-08422-0_9

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 proceeding › Chapter › peer-review

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, Nevada, 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 doi: 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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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",

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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; 23rd International Conference on Systems Engineering, ICSEng2014 ; Conference date: 19-08-2014 Through 21-08-2014",

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AB - 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

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KW - Fractional order model reduction

KW - Fractional order systems

KW - Simplified refined instrumental variable method

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BT - Advances in Intelligent Systems and Computing: Proceedings of the Twenty-Third International Conference on Systems Engineering

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Y2 - 19 August 2014 through 21 August 2014

ER -

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

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Keywords

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