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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

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