Acta Physica Sinica, Volume. 68, Issue 9, 098801-1(2019)
Figures & Tables(8)
Fig. 2. Simplified schematic diagram of the LSP2D model.LSP2D模型简化示意图
Fig. 3. Comparison of liquid phase Li+ concentration obtained by SP, LSP2D and P2D model at 1C and 3C discharge rates. 1C和3C放电率下, SP, LSP2D和P2D模型得到的放电末期液相Li+浓度 比较
Fig. 4. Discharge curves of three models at 1C and 3C discharge rates.三种模型在放电率为1C和3C时的放电曲线
Table 1.
Values of parameters.
各参数的值
View tableView in ArticleTable 1.
Values of parameters.
各参数的值
${a_1}$ ${b_1}$ ${c_1}$ ${a_2}$ ${b_2}$ ${a_3}$ ${b_3}$ ${c_3}$ $\displaystyle\frac{1}{8} + \alpha \tau $ $\displaystyle\frac{{15}}{4}$ $ - \displaystyle\frac{{15}}{8}$ $1$ 0 1 $\displaystyle\frac{{30}}{7}\beta \tau $ $ - \displaystyle\frac{{15}}{7}\beta \tau $
Table 2. Parameters lists of Li-ion battery.
View tableView in ArticleTable 2. Parameters lists of Li-ion battery.
Symbol Anode Cathode Separator $\sigma$ 100 100 ${\varepsilon _{\rm s}}$ 0.49 0.59 ${\varepsilon _{\rm e}}$ 0.485 0.365 0.724 Brug 4.0 4.0 4.0 ${c_{{\rm{e,0}}}}$ 1000 1000 1000 ${c_{{\rm{s,0}}}}$ 916.65 48977.25 ${c_{{\rm{s,max}}}}$ 30555 51555 A /m2$6.03 \!\times\! {10^{ - 4}}$ $5.31 \!\times\! {10^{ - 4}}$ ${D_{\rm{e}}}$ $7.5 \!\times\! {10^{ - 10}}$ $7.5 \!\times\! {10^{ - 10}}$ $7.5 \!\times\! {10^{ - 10}}$ ${D_{\rm{s}}}$ $3.9 \!\times\! {10^{ - 14}}$ $1.0 \!\times\! {10^{ - 14}}$ k /mol·(mol·m–3)–1.5$4.854 \!\times\! {10^{ - 6}}$ $2.252 \!\times\! {10^{ - 6}}$ ${R_{\rm{s}}}$ $2 \!\times\! {10^{ - 6}}$ $2 \!\times\! {10^{ - 6}}$ x /m$8.8 \!\times\! {10^{ - 5}}$ $8.0 \!\times\! {10^{ - 5}}$ $8.0 \!\times\! {10^{ - 5}}$ ${R_{{\rm{SEI}}}}/\Omega$ 0.01 I /A·m–220 $\alpha $ 0.5 0.5 F /C·mol96487 R /J·mol·K–18.314 T /K298.15
Table 3. Average error of the battery terminal voltage is estimated by three models when the discharge rate is 1C and 3C.
View tableView in ArticleTable 3. Average error of the battery terminal voltage is estimated by three models when the discharge rate is 1C and 3C.
Model Average error at discharge rate 1C/V Average error at discharge rate 3C/V P2D 0 0 LSP2D 0.0056 0.014 SP 0.0052 0.142
Table 4. Comparison of the estimated speeds of the three models.
View tableView in ArticleTable 4. Comparison of the estimated speeds of the three models.
Model Time for 50 cycles/s P2D 7860 LSP2D 21 SP 12
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Zheng-Yu Liu, Kun Yang, Zi-Hong Wei, Li-Yang Yao.
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Received: Jan. 27, 2019
Accepted: --
Published Online: Oct. 29, 2019
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