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Research Papers

A Temperature Dependent, Single Particle, Lithium Ion Cell Model Including Electrolyte Diffusion

[+] Author and Article Information
Tanvir R. Tanim

Department of Mechanical and
Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: trt140@psu.edu

Christopher D. Rahn

Professor
Department of Mechanical and
Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: cdrahn@psu.edu

Chao-Yang Wang

Professor
William E. Diefenderfer Chair
of Mechanical Engineering,
and Director of the Electrochemical
Engine Center,
Department of Mechanical
and Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: cxw31@psu.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 21, 2013; final manuscript received July 30, 2014; published online August 28, 2014. Assoc. Editor: Jwu-Sheng Hu.

J. Dyn. Sys., Meas., Control 137(1), 011005 (Aug 28, 2014) (11 pages) Paper No: DS-13-1280; doi: 10.1115/1.4028154 History: Received July 21, 2013; Revised July 30, 2014

Low-order, explicit models of lithium ion cells are critical for real-time battery management system (BMS) applications. This paper presents a seventh-order, electrolyte enhanced single particle model (ESPM) with electrolyte diffusion and temperature dependent parameters (ESPM-T). The impedance transfer function coefficients are explicit in terms of the model parameters, simplifying the implementation of temperature dependence. The ESPM-T model is compared with a commercially available finite volume based model and results show accurate matching of pulse responses over a wide range of temperature (T) and C-rates (I). The voltage response to 30 s pulse charge–discharge current inputs is within 5% of the commercial code for 25°C<T<50°C at I12.5C and -10°C<T<50°C at I1C for a graphite/nickel cobalt manganese (NCM) lithium ion cell.

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References

Figures

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Fig. 1

Schematic diagram of a pseudo 2D Li-ion cell model

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Fig. 4

Voltage response of AutoLion-ST, ESPM, and ESPM-T from 10 °C initial temperature and 50% initial SOC: (a) magnified voltage during 2.5 C discharge pulse (left box in Fig. 4(c)), (b) magnified voltage during 20 C discharge pulse (right box in Fig. 4(c)), (c) voltage response, (d) cell temperature, and (e) pulse current input

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Fig. 5

Voltage response of AutoLion-ST and ESPM-T from 0 °C and 50% initial SOC: (a) voltage response, (b) cell temperature, and (c) pulse current input

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Fig. 2

Voltage response of AutoLion-ST, ESPM, and SPM at 25 °C and 50% initial SOC: (a) magnified voltage during 8.5 C discharge pulse (left box in Fig. 2(c)), (b) magnified voltage during 20 C discharge pulse (right box in Fig. 2(c)), (c) voltage response, (d) electrolyte potential difference, and (e) pulse current input

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Fig. 3

Voltage response of AutoLion-ST and ESPM at 25 °C and 50% initial SOC: (a) magnified voltage during 20 C pulse (left box in Fig. 3(c)), (b) magnified voltage during 15 C pulse (right box in Fig. 3(c)), (c) voltage response, (d) SOC, and (e) pulse current input

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Fig. 6

Voltage response of AutoLion-ST and ESPM-T from 10 °C and 50% initial SOC: (a) voltage response, (b) cell temperature, and (c) 7.5C–30 s hybrid pulse charge–discharge cycle

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Fig. 7

ESPM-T error relative to AutoLion-ST for different C-rate pulse cycles (see Fig. 6(c)) versus cell temperature. The solid dot corresponds to the dot in Fig. 6(a).

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