Parameter identification based on simplified electrochemical model of lithium ion battery

doi:10.19799/j.cnki.2095-4239.2019.0273

Abstract

Abstract:

This paper aims to identify the parameters of a simplified electrochemical model. Firstly, the three-parameter partial differential equations of solid lithium-ion diffusion are simplified to ordinary differential equations. This simplification of the ordinary differential equations is based on the single-particle model and considers the concentration in liquid phase, liquid-phase electric potential, and the impedance of the solid electrolyte interface film caused by the potential impact on the terminal voltage. The next contribution is a new electrochemical model, which computes the average current density and volume density of the lithium-ion flow along the electrode thickness direction. The expression for positive open-circuit voltage of the battery was formulated through experiment and simulation. The electrochemical parameters of the model were determined in a parameter sensitivity analysis and identified by an adaptive chaotic particle swarm optimization algorithm. The accuracy of the electrochemical model was verified in further experiments and simulations.

Key words: lithium ion battery, parameter identification, adaptive chaotic particle swarm optimization

CLC Number:

TM 912

KANG Xin, SHI Wei, CHEN Hongtao. Parameter identification based on simplified electrochemical model of lithium ion battery[J]. Energy Storage Science and Technology, 2020, 9(3): 969-978.

Figures/Tables 13

Table 2

Range of unknown parameter values"

参数	单位	正极	负极
$D s$	m²/s	1.0×10^-14～1.0×10^-13	1.0×10^-14～1.0×10^-13
$C s, 0$	mol/m³	21695～24779	24479～26389
$r k$	m^2.5/(mol^0.5 ·s)	6.67×10^-12～6.67×10^-10	2.5×10^-12～2.5×10^-10

Table 2

Table 1

Known Parameter values of NCM battery"

参数	单位	正极	负极	隔膜	来源
$A$	m²	1.0161	0.7828	—	实测
$L p$	m	5.58×10^-5	8.8×10^-5	2.5×10^-5	实测
$L n$	m	1.33×10^-5	1.4×10^-5	—	实测
R_s	m	5×10^-6	5×10^-6	—	实测
$ε s$	—	0.45	0.5	—	[14]
$ε e$	—	0.55	0.5	—	[14]
$C s, m a x$	mol/m³	51410	31883	—	[14]
$C e$	mol/m³	1200	1200	1200	[14]
$R S E I$	Ω·m²	0.001	0.004	—	[14]
$t +$	—	0.363	0.363	0.363	[14]
$κ e$	S/m	0.15			[14]
$R$	J/(mol·K)	8.3144
$F$	C/mol	96487
$T$	K	298.15
$α$	—	0.5	0.5	—

Table 1

Fig.1

Fig.2

Table 3

Identification result of parameters to be identified"

参数	单位	正极	负极
$D s$	m²/s	7.476×10^-14	2.875×10^-14
$r k$	m^2.5/(mol^0.5 ·s)	1.1112×10^-11	9.946×10^-12
$C s, 0$	mol	23698.29	25325.46

Table 3

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

$A c e l l$	—	电池极板面积，m²
$a s$	—	活性材料单位体积的表面积，m^-1
$c s$	—	固相锂离子浓度，mol/m³
$c e$	—	液相锂离子浓度，mol/m³
$c s u r f$	—	活性材料表面锂离子浓度，mol/m³
$D s$	—	固相扩散系数，m²/s
$D e$	—	液相扩散系数，m²/s
$F$	—	法拉第常数，96487 C/mol
$i 0$	—	交换电流密度，A/m²
$i s$	—	固相电流密度，A/m²
$i e$	—	液相电流密度，A/m²
$I (t)$	—	外部输入电流，A
$k s$	—	反应速率常数，m^2.5/(mol^0.5 ·s)
$L$	—	电极、隔膜厚度，m
R _film	—	SEI膜阻抗，Ω·m²
$R$	—	摩尔气体常数，8.31441 J/(mol·K)
$R s$	—	正负电极活性材料半径，m

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