Page 174 - Lindens Handbook of Batteries

MATHEMATICAL MODELING OF BATTERIES 6.27

l Thermal conductivity (W/K)
η Overpotential (V)
φ Potential (V)
3
ρ Density (kg/m )
σ Electronic conductivity of the electrodes (S/cm)
-1
τ Time constant (s )
θ Dimensionless concentration

Subscripts and Superscripts
c Current collector
eff Effective
n Negative electrode
p Positive electrode
ref Reference condition
side Side reaction
0 Initial or standard condition
1 Electrode matrix
2 Electrolyte
s Solid phase
Λ ˆ Effective value of the parameter Λ

Abbreviations
CAD Computer-aided design
DOD Depth of discharge
MCMB Meso-carbon micro beads
SEI Solid electrolyte interface
SoC State-of-charge

REFERENCES

1. Peukert, W., Über die Abhängigkeit der Kapacität von der Entladestromstärcke bei Bleiakkumulatoren.
Elektrotechnische Zeitschrift, 1897. 20.
2. Macdonald, D. D., Reflections on the History of Electrochemical Impedance Spectroscopy, Electrochimica
Acta, 2006. 51(8-9): p. 1376-1388.
3. De Levie, R., Response of Porous and Rough Electrodes. Advances in Electrochemistry and Electrochemical
Engineering, eds. P. Delahay and C. W. Tobias. Vol. 6. 1971, New York: John Wiley & Sons.
4. Verbrugge, M. W., and R. S. Conell, Electrochemical and Thermal Characterization of Battery Modules
Commensurate with Electric Vehicle Integration. Journal of the Electrochemical Society, 2002. 149(1):
p. A45-A53.
5. Bergeveld, H. J., W. S. Krujit, and P. H. L. Notten, Battery Management Systems: Design by Modeling.
Phillips Research Book Series, ed. M. A. Norwell. 1999, The Netherlands: Kluwer Academic Publications.