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A Homogenized Thermal Model For Lithium Ion Batteries

Finden, Erlend
Master thesis
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finden2012.pdf (5.457Mb)
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http://hdl.handle.net/11250/188803
Utgivelsesdato
2012-09-03
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  • Master's theses (RealTek) [1401]
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In this work homogenization theory is applied to existing thermal models for

lithium ion batteries. We study a battery with prismatic cell geometry. The

inner region of the battery has a thermal conductivity that is periodic in a

local variable. In this work we describe the inner region by a homogenized

partial differential equation. The obtained homogenized thermal conductivity

tensor is equivalent with the tensor obtained by applying a thermal

equivalent-resistance approach. Thermal equivalent-resistance approaches

are reported in the literature on thermal modeling of lithium ion batteries.

Furthermore, the homogenized thermal conductivity in different directions

varies by a factor 10. The outer region of the battery consist of a casing that

is wrapped around the inner region. The outer region is described by a nonhomogenized

partial differential equation. Both regions is described by the

two coupled partial differential equations in dimensionless form. The coupled

model is applied to a conventional lithium ion pouch-cell battery with 17.5

Ah capacity. Input data to the model are obtained from experiments. The

model is solved in 2 dimensions by means of the finite element method in

the FEniCS software. As input parameters, an ambient temperature and an

initial condition of 298 (K) are applied. Moreover is the external heat transfer

coe cient estimated to be 18 (W/m2 K). Simulations of a 1C discharge

from 100 to 10% state of charge is performed. The modeled battery consists

in 2 dimensions of a rectangle with long and short sides. It was found that

the temperature parallel with the long side varied significant compared with

the temperature parallel with the short side. A maximum temperature is

achieved in the center of the battery. This occurs at the time just before the

battery is at end of discharge. The maximum temperature is 2.4 (K) above

the ambient air temperature. A validation of the results are necessary.
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Norwegian University of Life Sciences, Ås

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