Table 4 Symbols.

From: An Incremental Voltage Difference Based Technique for Online State of Health Estimation of Li-ion Batteries

Sl. No.

Symbol

Name

1

\({a}_{s}^{n}\)

specific interfacial area of anode, \(c{m}^{-1}\)

2

\({i}_{\mathrm{0,}sei}\)

initial side reaction exchange current density, \(Ac{m}^{-2}\)

3

\({A}_{n}\)

area of anode, \(c{m}^{-2}\)

4

\({L}_{n}\)

thickness of anode, \(cm\)

5

\(T\)

cycle time, \(s\)

6

\({I}_{rms}\)

RMS value of the input current, \(A\)

7

\({I}_{a}\)

\(\frac{\sqrt{2}RT}{{\alpha }_{n}F{C}_{1}}\), \(A\)

8

\(R\)

universal gas constant, \(Jmo{l}^{-1}{K}^{-1}\)

9

\(T\)

temperature, \(K\)

10

\({\alpha }_{n}\), \({\alpha }_{p}\)

charge transfer coefficient of anode and cathode respectively

11

\(F\)

Faraday constant, \(Cmo{l}^{-1}\)

12

\({C}_{1}\)

\(\frac{{R}_{ct}}{{a}_{s}^{n}{A}_{n}{L}_{n}}+\frac{\partial {U}_{n}}{\partial {C}_{s,e}}\frac{{g}_{2}}{{A}_{n}{L}_{n}}\)

13

\({R}_{ct}\)

\(\frac{RT}{{i}_{0}^{n}({\alpha }_{p}+{\alpha }_{n})F}\)

14

\({i}_{0}^{n}\)

exchange current density of anode, \(Ac{m}^{-2}\)

15

\({U}_{n}\)

open circuit potential of anode, \(V\)

16

\({C}_{s,e}\)

solid particle Li concentration in both electrode

17

\({g}_{2}\)

\(\frac{-{R}_{s}^{n}}{5{D}_{s}^{n}F{a}_{s}^{n}}\)

18

\({R}_{s}^{n}\)

particle radius of anode, \(cm\)

19

\({D}_{s}^{n}\)

solid phase Li diffusion coefficient of anode, \(c{m}^{2}{s}^{-1}\)

20

\({\bar{\eta }}_{sei}\)

average SEI overpotential at equilibrium, \(V\)

21

\({R}_{sei\mathrm{,0}}\)

initial SEI film resistance, \(\Omega \)

22

\({M}_{sei}\)

SEI layer Molar mass, \(kgmo{l}^{-1}\)

23

\({\rho }_{sei}\)

SEI layer density, \(kgc{m}^{-3}\)