Evaluation Study for Large Prismatic Lithium-Ion Cell ... - NREL
Evaluation Study for Large Prismatic Lithium-Ion Cell ... - NREL
Evaluation Study for Large Prismatic Lithium-Ion Cell ... - NREL
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Electrode-Scale Per<strong>for</strong>mance Model<br />
Charge Transfer Kinetics at Reaction Sites<br />
Species Conservation<br />
Charge Conservation<br />
( φ − ) −U<br />
η = φ<br />
s<br />
e<br />
• Pioneered by Newman group (Doyle, Fuller,<br />
and Newman 1993)<br />
• Captures lithium diffusion dynamics and charge<br />
transfer kinetics<br />
• Predicts current/voltage response of a battery<br />
• Provides design guide <strong>for</strong> thermodynamics,<br />
kinetics, and transport across electrodes<br />
Energy Conservation • Difficult to resolve heat and electron current<br />
∂T<br />
ρc<br />
p = ∇ ⋅(<br />
k∇T<br />
)<br />
transport<br />
+ q′<br />
′<br />
∂t<br />
Li ⎛<br />
∂U<br />
eff<br />
eff<br />
eff<br />
q′ ′<br />
⎞<br />
= j ⎜φs<br />
−φ<br />
e −U<br />
+ T ⎟ + σ ∇φs<br />
⋅∇φ<br />
s + κ ∇φe<br />
⋅∇φ<br />
e + κ D ∇lnc<br />
e ⋅∇φ<br />
e<br />
⎝<br />
∂T<br />
⎠<br />
National Renewable Energy Laboratory 8<br />
Innovation <strong>for</strong> Our Energy Future<br />
r