锂离子电池大电流放电过程模拟研究

doi:10.11949/0438-1157.20200279

化工学报 ›› 2020, Vol. 71 ›› Issue (8): 3710-3721.DOI: 10.11949/0438-1157.20200279

锂离子电池大电流放电过程模拟研究

董缇¹(),彭鹏¹,王亦伟¹,曹文炅¹,郑耀东²,雷博³,蒋方明¹()

^1.中国科学院广州能源研究所, 中国科学院可再生能源重点实验室, 广东省新能源和可再生能源研究开发与应用重点实验室, 广东广州 510640
^2.中国南方电网有限责任公司，广东广州 510063
^3.南方电网科学院有限责任公司，广东广州 510063

收稿日期:2020-03-18 修回日期:2020-05-07 出版日期:2020-08-05 发布日期:2020-08-05
通讯作者: 蒋方明
作者简介:董缇（1989—），男，博士，助理研究员，dongti@ms.giec.ac.cn
基金资助:
国家重点研发计划项目(2018YFB0905300);广东省新能源和可再生能源研究开发与应用重点实验室项目(Y909jh1)

Simulation on lithium ion battery discharge process with large current

Ti DONG¹(),Peng PENG¹,Yiwei WANG¹,Wenjiong CAO¹,Yaodong ZHENG²,Bo LEI³,Fangming JIANG¹()

^1.Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, CAS Key Laboratory of Renewable Energy, Guangdong Provincial Key Laboratory of New and Renewable Energy Research and Development, Guangzhou 510640, Guangdong, China
^2.China Southern Power Grid, Guangzhou 510063, Guangdong, China
^3.Electric Power Research Institute, China Southern Power Grid, Guangzhou 510063, Guangdong, China

Received:2020-03-18 Revised:2020-05-07 Online:2020-08-05 Published:2020-08-05
Contact: Fangming JIANG

摘要/Abstract

摘要：

随着锂离子电池的广泛应用，电池以更大功率、更高倍率运行的需求日益迫切，探索锂离子电池大电流运行时的电-热行为及内部关键参数演化十分必要。建立了锂离子电池的电化学-热（ECT）模型和电池材料的热滥用模型，模拟了方形单层LiCoO₂/C电芯在不同放电电流下的电-热行为，对比分析了电池分别以1C和14C倍率放电时电池内部关键电化学参数的演化过程。结果表明：随着放电电流增加，电池内部积聚的热量会引发材料的放热反应，有引发电池热失控的可能性；大电流放电过程电解液中锂离子浓度、输运电流密度、过电势、电解质电势和固相颗粒表面的锂离子浓度波动较大，在电池内部相关区域形成了明显的浓度差、密度差和电势差。

关键词: 锂离子电池, 大电流放电, 传热, 化学反应, 传递过程, 电化学参数演化

Abstract:

With the widespread application of lithium-ion batteries, the demand for batteries to operate at higher power and higher rates is becoming more and more urgent. It is necessary to explore the electro-thermal behavior and internal key parameters of lithium-ion batteries at high current operation. In this paper, a combined model of the electrochemical- thermal (ECT) coupling model and the thermal model for abusive reaction of battery materials is established. The electrical-thermal behaviors of a prismatic single-layer LiCoO₂/C cell during discharge processes of various C-rates are simulated. The key electrochemical parameters and their dynamics for the cell during 1C and 14C discharge processed are analyzed and compared. The results show that with the increase of discharge current, heat accumulation in the battery will trigger the exothermic reactions of battery materials, making the battery vulnerable to thermal runaway. Besides, the concentration of Li-ion in the electrolyte, the transfer current density, the over potential, the electrolyte potential and the lithium concentration at the surface of solid particles fluctuate greatly during high C-rate discharge processes, leading to significant differences of species concentration, density and electric potential in the relevant regions inside the battery.

Key words: Li-ion battery, large current discharge, heat transfer, chemical reaction, transport processes, evolution of electrochemical parameters

中图分类号:

TK 02

董缇, 彭鹏, 王亦伟, 曹文炅, 郑耀东, 雷博, 蒋方明. 锂离子电池大电流放电过程模拟研究[J]. 化工学报, 2020, 71(8): 3710-3721.

Ti DONG, Peng PENG, Yiwei WANG, Wenjiong CAO, Yaodong ZHENG, Bo LEI, Fangming JIANG. Simulation on lithium ion battery discharge process with large current[J]. CIESC Journal, 2020, 71(8): 3710-3721.

图/表 13

图1 锂离子电池单层电芯物理模型（x是厚度方向）

Fig.1 Physical model of Li-ion single cell

表1 电池不同区域的模型参数

Table 1 Model parameters of different regions from battery

参数	正极集流体	负电极	隔膜	正电极	负极集流体
厚度, L /μm	10	60	25	64	20
密度, ρ/(kg·m^-3)	8900	2660	492	2500	2700
比热容, c_p/(J·kg^-1·K^-1)	385	1437.4	1978	700	903
热导率^[25], λ/(W·m^-1·K^-1)	398	1.04	0.334	1.48	238
离子半径, r /μm		10	N/A	8
初始SOC		0.81		0.13
电极比面积, α_s/(m²·m^-3)		1.77×10⁵		2.40×10⁵
固相最大锂离子浓度^[26] /(mol·m^-3)		30555		51555
起始SOC^a		0.806		0.51
起始电解质浓度,c_e /(mol·m^-3)		1000	1200	1000
交换电流密度参考值/(A·m^-2)		36		26
固相离子电导率, σ/(S·m^-1)	6.0×10⁷	2.0	0	0.1	3.8×10⁷
固相锂离子扩散系数, D_s /(m²·s^-1)	0	式(15)	0	1×10^-13	0
电解质相锂离子扩散系数, D_e/(m²·s^-1)			式(17)
活化能 E_act_D_s(锂离子扩散)/(J·mol^-1)		4000	N/A	20000
活化能E_act_i₀(交换电流密度)/(J·mol^-1)		4000	N/A	4000
Bruggeman 指数		1.5	1.5	1.5
表观交换系数α_a,α_c		0.5		0.5
接触电阻, R_c/ (Ω·m²)			0.005
锂离子转移系数t₊⁰			0.363
法拉第常数, F/(C·mol^-1)			96487.0
参考温度, T_ref/K			298.15

表2 电池物性参数

Table 2 Battery physical parameters

参数	负极			隔膜 PP/PE/PP	正极			电解液 LiPF₆/EC+DMC+EMC
参数	铜箔	碳	黏结剂等	隔膜 PP/PE/PP	铝箔	LiCoO₂	黏结剂等	电解液 LiPF₆/EC+DMC+EMC
ρ /(kg·m^-3)	8900	2660	1750	492	1500	2500	1750	1290
c_p/(J·kg^-1·K^-1)	385	1437.4	1120	1978	903	700	1120	133.9
k/(W·m^-1·K^-1)	398	1.04	0.12	0.334	238	1.48	0.12	0.45

表3 锂离子电池热滥用反应模型

Table 3 Thermal abuse model of Li-ion battery

模型	方程
控制方程	$ρ c_{p} \frac{? T}{? t} = ? ? λ ? ? T + Q_{1} + Q_{2}$
能量方程	$Q_{2} = q_{s e i} + q_{n e} + q_{p e} + q_{e l e}$
SEI膜分解反应	$q_{s e i} = H_{s e i} W_{c} R_{s e i}$ , $R_{s e i} (T, c_{s e i}) = A_{s e i} e x p (- \frac{E_{a, s e i}}{R T}) c_{^{s e i}}^{m_{s e i}}$ , $\frac{d c_{s e i}}{d t} = - R_{s e i}$
负电极材料与电解质反应	$q_{n e} = H_{n e} W_{c} R_{n e}$ , $R_{n e} (T, c_{e}, c_{n e g}, t_{s e i}) = A_{n e} e x p (- \frac{t_{s e i}}{t_{s e i 0}}) c_{n e g}^{m_{n e, n}} e x p (- \frac{E_{a, n e}}{R T})$ ， $\frac{d t_{s e i}}{d t} = R_{n e}$ , $\frac{d c_{n e g}}{d t} = - R_{n e}$
正电极分解/ 正电极与电解质反应	$q_{p e} = H_{p e} W_{p} R_{p e}$ , $R_{p e} (T, α, c_{e l e}) = A_{p e} α^{m_{p e, p 1}} {(1 - α)}^{m_{p e, p 2}} e x p (- \frac{E_{a, p e}}{R T})$ , $\frac{d α}{d t} = R_{p e}$
电解液分解反应	$q_{e l e} = H_{e} W_{e} R_{e}$ , $R_{e} (T, c_{e l e}) = A_{e} e x p [- \frac{E_{a, e}}{R T}] c_{e l e}^{m_{e}}$ , $\frac{d c_{e l e}}{d t} = - R_{e}$

表3 锂离子电池热滥用反应模型

Table 3 Thermal abuse model of Li-ion battery

模型	方程
控制方程	$ρ c_{p} \frac{? T}{? t} = ? ? λ ? ? T + Q_{1} + Q_{2}$
能量方程	$Q_{2} = q_{s e i} + q_{n e} + q_{p e} + q_{e l e}$
SEI膜分解反应	$q_{s e i} = H_{s e i} W_{c} R_{s e i}$ , $R_{s e i} (T, c_{s e i}) = A_{s e i} e x p (- \frac{E_{a, s e i}}{R T}) c_{^{s e i}}^{m_{s e i}}$ , $\frac{d c_{s e i}}{d t} = - R_{s e i}$
负电极材料与电解质反应	$q_{n e} = H_{n e} W_{c} R_{n e}$ , $R_{n e} (T, c_{e}, c_{n e g}, t_{s e i}) = A_{n e} e x p (- \frac{t_{s e i}}{t_{s e i 0}}) c_{n e g}^{m_{n e, n}} e x p (- \frac{E_{a, n e}}{R T})$ ， $\frac{d t_{s e i}}{d t} = R_{n e}$ , $\frac{d c_{n e g}}{d t} = - R_{n e}$
正电极分解/ 正电极与电解质反应	$q_{p e} = H_{p e} W_{p} R_{p e}$ , $R_{p e} (T, α, c_{e l e}) = A_{p e} α^{m_{p e, p 1}} {(1 - α)}^{m_{p e, p 2}} e x p (- \frac{E_{a, p e}}{R T})$ , $\frac{d α}{d t} = R_{p e}$
电解液分解反应	$q_{e l e} = H_{e} W_{e} R_{e}$ , $R_{e} (T, c_{e l e}) = A_{e} e x p [- \frac{E_{a, e}}{R T}] c_{e l e}^{m_{e}}$ , $\frac{d c_{e l e}}{d t} = - R_{e}$

表4 热滥用模型计算参数

Table 4 Calculation parameters used in thermal abuse model

反应热/(J·kg^-1)					频率因子/s^-1					活化能/(J·mol^-1)
H_sei	H_ne		H_pe	H_ele	A_sei	A_ne	A_pe	A_e		E_a_,_sei	E_a_,_ne	E_a,pe	E_a,e
2.57×10⁵	1.714×10⁶		7.9×10⁵	1.55×10⁵	2.25×10¹⁵	2.5×10¹³	2.55×10¹⁴	5.14×10²⁵		1.3508×10⁵	1.3508×10⁵	1.5888×10⁵	2.74×10⁵
初始无量纲常数						反应级数					材料组分/(kg·m^-3)
c_sei0		c_neg0	α₀	c_ele0	t_sei0	m_sei	m_ne,n	m_pe,p1	m_pe,p2	m_e	W_c	W_p	W_e
0.15		0.75	0.04	1	0.033	1	1	1	1	1	1.39×10³	1.5×10³	5×10²

图2 不同倍率放电时电池/电芯电-热参数变化

Fig.2 Voltage change and temperature change of single cell/single battery during discharge process

图3 电芯内部热源分析

Fig.3 Thermal sources analysis of cell

图4 放电过程中电解质中锂离子浓度随时间和空间分布

Fig.4 Spatial and temporal distribution of Li+ concentration distribution in electrolyte during discharge process

图5 输运电流密度随时间和空间分布

Fig.5 Spatial and temporal distribution of the transfer current density during discharge process

图6 过电势随时间和空间分布

Fig.6 Spatial and temporal distribution of the overpotential during discharge process

图7 固相电极电势随时间和空间分布

Fig.7 Spatial and temporal distribution of the solid phase potential during discharge process

图8 电解液电势随时间和空间分布

Fig.8 Spatial and temporal distribution of the electrolyte phase potential during discharge process

图9 电池的荷电状态/放电深度随时间和空间分布

Fig.9 Spatial and temporal distribution of SOC/DOD during discharge process

参考文献 32

1	Liu H, Wei Z, He W, et al. Thermal issues about Li-ion batteries and recent progress in battery thermal management systems: a review[J]. Energy Conversion and Management, 2017, 150: 304-330.
2	程广玉, 高蕾, 顾洪汇, 等. 高功率锂离子电池的研制及快充性能[J]. 电池, 2019, 49(2): 94-97.
	Cheng G Y, Gao L, Gu H H, et al. Developing and fast charge performance of high power Li-ion battery [J]. Battery Bimonthly, 2019, 49(2): 94-97.
3	陈莹. 电动车用锂离子电池快速充电技术研究[D]. 无锡: 江南大学, 2018.
	Chen Y. The study of fast-charging control strategy of lithium-ion battery on electric vehicle[D]. Wuxi: Jiangnan University, 2018.
4	郭继鹏. 储能锂离子电池恒流与恒功率充放电特性研究[D]. 合肥: 合肥工业大学, 2018.
	Guo J P. Research on the characteristics of energy storage lithium-ion battery with constant current and constant power [D]. Hefei: Hefei University of Technology, 2018.
5	Kim G H, Pesaran A, Spotnitz R. A three-dimensional thermal abuse model for lithium-ion cells[J]. Journal of Power Sources, 2007, 170(2): 476-489.
6	Lu L, Han X, Li J, et al. A review on the key issues for lithium-ion battery management in electric vehicles[J]. Journal of Power Sources, 2013, 226: 272-288.
7	董缇, 彭鹏, 曹文炅, 等. 锂离子电池热管理和安全性研究[J]. 新能源进展, 2019, 7(1): 50-59.
	Dong T, Peng P, Cao W J, et al. Research on thermal management and safety of Li-ion batteries [J]. Advances in New and Renewable Energy, 2019, 7(1): 50-59.
8	邓远富, 曾振欧. 现代电化学[M].广州: 华南理工大学出版社, 2014: 150.
	Deng Y F, Zeng Z O. Modern Electrochemistry [M]. Guangzhou: South China University of Technology Press, 2014: 150
9	梁斌, 段天平, 唐盛伟. 化学反应工程[M].北京: 科学出版社, 2010: 5.
	Liang B, Duan T P, Tang S W. Chemical Reaction Engineering[M]. Beijing: Science Press, 2010: 5.
10	Grandjean T, Barai A, Hosseinzadeh E, et al. Large format lithium ion pouch cell full thermal characterisation for improved electric vehicle thermal management[J]. Journal of Power Sources, 2017, 359: 215-225.
11	Khandelwal A, Hariharan K S, Gambhire P, et al. Thermally coupled moving boundary model for charge–discharge of LiFePO₄ /C cells[J]. Journal of Power Sources, 2015, 279: 180-196.
12	Lai Y, Du S, Ai L, et al. Insight into heat generation of lithium ion batteries based on the electrochemical-thermal model at high discharge rates[J]. International Journal of Hydrogen Energy, 2015, 40(38): 13039-13049.
13	Jiang F, Peng P, Sun Y. Thermal analyses of LiFePO₄/graphite battery discharge processes[J]. Journal of Power Sources, 2013, 243: 181-194.
14	Drake S J, Martin M, Wetz D A, et al. Heat generation rate measurement in a Li-ion cell at large C-rates through temperature and heat flux measurements[J]. Journal of Power Sources, 2015, 285: 266-273.
15	Basu S, Patil R S, Ramachandran S, et al. Non-isothermal electrochemical model for lithium-ion cells with composite cathodes[J]. Journal of Power Sources, 2015, 283: 132-150.
16	Doyle M, Newman J, Gozdz A S, et al. Comparison of modeling predictions with experimental data from plastic lithium ion cells[J]. Journal of the Electrochemical Society, 1996, 143(6): 1890-1903.
17	Doyle M, Newman J. Analysis of capacity–rate data for lithium batteries using simplified models of the discharge process[J]. Journal of Applied Electrochemistry, 1997, 27(7): 846-856.
18	Smith K, Wang C Y. Solid-state diffusion limitations on pulse operation of a lithium ion cell for hybrid electric vehicles[J]. Journal of Power Sources, 2006, 161(1): 628-639.
19	Zhao W, Luo G, Wang C Y. Modeling internal shorting process in large-format Li-ion cells[J]. Journal of the Electrochemical Society, 2015, 162(7): A1352-A1364.
20	Ogihara N, Itou Y, Sasaki T, et al. Impedance spectroscopy characterization of porous electrodes under different electrode thickness using a symmetric cell for high-performance lithium-ion batteries[J]. Journal of Physical Chemistry C, 2015, 119(9): 4612-4619.
21	Doyle M, Fuller T F, Newman J. Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell[J]. Journal of the Electrochemical Society, 1993, 140(6): 1526.
22	Gu W, Wang C Y. Thermal-electrochemical modeling of battery systems[J]. Journal of the Electrochemical Society, 2000, 147(8): 2910-2922.
23	Fang W, Kwon O J, Wang C Y. Electrochemical-thermal modeling of automotive Li-ion batteries and experimental validation using a three-electrode cell[J]. International Journal of Energy Research, 2010, 34(2): 107-115.
24	Ramadass P, Haran B, Gomadam P M, et al. Development of first principles capacity fade model for Li-ion cells[J]. Journal of the Electrochemical Society, 2004, 151(2): A196-A203.
25	Guo G, Long B, Cheng B, et al. Three-dimensional thermal finite element modeling of lithium-ion battery in thermal abuse application[J]. Journal of Power Sources, 2010, 195(8): 2393-2398.
26	Santhanagopalan S, Ramadass P, Zhang J. Analysis of internal short-circuit in a lithium ion cell[J]. Journal of Power Sources, 2009, 194(1): 550-557.
27	Peng P, Jiang F. Thermal behavior analyses of stacked prismatic LiCoO₂ lithium-ion batteries during oven tests[J]. International Journal of Heat and Mass Transfer, 2015, 88: 411-423.
28	Hatchard T D, Macneil D D, Basu A, et al. Thermal model of cylindrical and prismatic lithium-ion cells[J]. Journal of the Electrochemical Society, 2001, 148(7): A755-A761.
29	Zhao W, Luo G, Wang C Y. Modeling nail penetration process in large-format Li-ion cells[J]. Journal of the Electrochemical Society, 2014, 162(1): A207-A217.
30	Dong T, Peng P, Jiang F, et al. Numerical modeling and analysis of the thermal behavior of NCM lithium-ion batteries subjected to very high C-rate discharge/charge operations[J]. International Journal of Heat and Mass Transfer, 2018: 261-272.
31	毛亚, 白清友, 马尚德, 等. 循环老化对锂离子电池在绝热条件下的产热及热失控影响[J]. 储能科学与技术, 2018, 7(6): 172-179.
	Mao Y, Bai Q Y, Ma S D, et al. Influence of cycling on the heat-release and thermal runaway of the lithium ion battery under adiabatic condition[J]. Energy Storage Science and Technology, 2018, 7(6): 172-179.
32	Yao K P C, Okasinski J S, Kalaga K, et al. Quantifying lithium concentration gradients in the graphite electrode of Li-ion cells using operando energy dispersive X-ray diffraction[J]. Energy & Environmental Science, 2019, 12(2): 656-665.

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锂离子电池大电流放电过程模拟研究

Simulation on lithium ion battery discharge process with large current

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