Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries

Bingxiang Sun; Jia Liu; Haijun Ruan; Weige Zhang; Hao Li; Jiaju Wang

doi:10.1007/978-981-33-6609-1_11

Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries

Bingxiang Sun, Jia Liu, Haijun Ruan, Weige Zhang, Hao Li, Jiaju Wang

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

1 Citation (Scopus)

Abstract

Lithium-ion battery is an electrochemical system with strong nonlinear characteristics. It shows different response states under different working conditions and doesn’t conform to the superposition theorem. In this paper, 2.5Ah ternary lithium-ion battery for electric vehicles is taken as the research object. Fractional order equivalent circuit model is established based on electrochemical impedance spectrum. Its impedance fitting error reaches below 10E−5, which can well simulate the impedance response characteristics inside the battery. Based on the Grunwald–Letnikov fractional differential definition of the output expression of the model is derived, through the sinusoidal excitation at different frequencies for simulation verification, the model relative open circuit voltage error rate is less than 0.2%, with higher accuracy. In addition, the equivalent impact stress under AC–DC superposition condition is analyzed for the battery. It is concluded that the equivalent impact stress for the lithium-ion battery is closer to the superimposed peak condition under the AC–DC superimposed condition of the low and medium frequency.

Original language	English
Title of host publication	The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering
Editors	Weijiang Chen, Qingxin Yang, Laili Wang, Dingxin Liu, Xiaogang Han, Guodong Meng
Publisher	SpringerOpen
Pages	115-127
Number of pages	13
ISBN (Electronic)	978-981-33-6609-1
ISBN (Print)	978-981-33-6608-4
DOIs	https://doi.org/10.1007/978-981-33-6609-1_11
Publication status	Published - 20 Apr 2021
Externally published	Yes
Event	9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020 - Xi’an, China Duration: 25 Aug 2020 → 28 Aug 2020

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	743 LNEE
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020
Country/Territory	China
City	Xi’an
Period	25/08/20 → 28/08/20

Bibliographical note

Funding Information:
Acknowledgements This work is supported by the “National Key R&D Program of China” (Grant NO.: 2017YFB1201005) and the National Natural Science Foundation of China (Grant No. 51907005).

Keywords

AC–DC superposition condition
Electrochemical impedance spectroscopy
Equivalent stress
Fractional order model
Lithium-ion battery

ASJC Scopus subject areas

Industrial and Manufacturing Engineering

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1007/978-981-33-6609-1_11

Cite this

Sun, B., Liu, J., Ruan, H., Zhang, W., Li, H., & Wang, J. (2021). Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries. In W. Chen, Q. Yang, L. Wang, D. Liu, X. Han, & G. Meng (Eds.), The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering (pp. 115-127). (Lecture Notes in Electrical Engineering; Vol. 743 LNEE). SpringerOpen. https://doi.org/10.1007/978-981-33-6609-1_11

Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries. / Sun, Bingxiang; Liu, Jia; Ruan, Haijun et al.
The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. ed. / Weijiang Chen; Qingxin Yang; Laili Wang; Dingxin Liu; Xiaogang Han; Guodong Meng. SpringerOpen, 2021. p. 115-127 (Lecture Notes in Electrical Engineering; Vol. 743 LNEE).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

Sun, B, Liu, J, Ruan, H, Zhang, W, Li, H & Wang, J 2021, Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries. in W Chen, Q Yang, L Wang, D Liu, X Han & G Meng (eds), The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. Lecture Notes in Electrical Engineering, vol. 743 LNEE, SpringerOpen, pp. 115-127, 9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020, Xi’an, China, 25/08/20. https://doi.org/10.1007/978-981-33-6609-1_11

Sun B, Liu J, Ruan H, Zhang W, Li H, Wang J. Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries. In Chen W, Yang Q, Wang L, Liu D, Han X, Meng G, editors, The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. SpringerOpen. 2021. p. 115-127. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-981-33-6609-1_11

Sun, Bingxiang ; Liu, Jia ; Ruan, Haijun et al. / Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries. The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. editor / Weijiang Chen ; Qingxin Yang ; Laili Wang ; Dingxin Liu ; Xiaogang Han ; Guodong Meng. SpringerOpen, 2021. pp. 115-127 (Lecture Notes in Electrical Engineering).

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abstract = "Lithium-ion battery is an electrochemical system with strong nonlinear characteristics. It shows different response states under different working conditions and doesn{\textquoteright}t conform to the superposition theorem. In this paper, 2.5Ah ternary lithium-ion battery for electric vehicles is taken as the research object. Fractional order equivalent circuit model is established based on electrochemical impedance spectrum. Its impedance fitting error reaches below 10E−5, which can well simulate the impedance response characteristics inside the battery. Based on the Grunwald–Letnikov fractional differential definition of the output expression of the model is derived, through the sinusoidal excitation at different frequencies for simulation verification, the model relative open circuit voltage error rate is less than 0.2%, with higher accuracy. In addition, the equivalent impact stress under AC–DC superposition condition is analyzed for the battery. It is concluded that the equivalent impact stress for the lithium-ion battery is closer to the superimposed peak condition under the AC–DC superimposed condition of the low and medium frequency.",

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N2 - Lithium-ion battery is an electrochemical system with strong nonlinear characteristics. It shows different response states under different working conditions and doesn’t conform to the superposition theorem. In this paper, 2.5Ah ternary lithium-ion battery for electric vehicles is taken as the research object. Fractional order equivalent circuit model is established based on electrochemical impedance spectrum. Its impedance fitting error reaches below 10E−5, which can well simulate the impedance response characteristics inside the battery. Based on the Grunwald–Letnikov fractional differential definition of the output expression of the model is derived, through the sinusoidal excitation at different frequencies for simulation verification, the model relative open circuit voltage error rate is less than 0.2%, with higher accuracy. In addition, the equivalent impact stress under AC–DC superposition condition is analyzed for the battery. It is concluded that the equivalent impact stress for the lithium-ion battery is closer to the superimposed peak condition under the AC–DC superimposed condition of the low and medium frequency.

AB - Lithium-ion battery is an electrochemical system with strong nonlinear characteristics. It shows different response states under different working conditions and doesn’t conform to the superposition theorem. In this paper, 2.5Ah ternary lithium-ion battery for electric vehicles is taken as the research object. Fractional order equivalent circuit model is established based on electrochemical impedance spectrum. Its impedance fitting error reaches below 10E−5, which can well simulate the impedance response characteristics inside the battery. Based on the Grunwald–Letnikov fractional differential definition of the output expression of the model is derived, through the sinusoidal excitation at different frequencies for simulation verification, the model relative open circuit voltage error rate is less than 0.2%, with higher accuracy. In addition, the equivalent impact stress under AC–DC superposition condition is analyzed for the battery. It is concluded that the equivalent impact stress for the lithium-ion battery is closer to the superimposed peak condition under the AC–DC superimposed condition of the low and medium frequency.

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Study on Fractional Order Modeling and Equivalent Stress of AC–DC Superposition Condition for Lithium-Ion Batteries

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

UN SDGs

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