Battery Power - September/October 2013 - (Page 16)
Feature
Highly Accurate Li-Ion Battery Simulation
Mikael Cugnet
French Atomic and Alernative Energy Commission (CEA)
Whether in cell phones, hybrid/electric vehicles or airplanes,
batteries have become virtually indispensable to modern life.
Traditional means of evaluating battery performance with advanced chemistries such as lithium-ion don’t provide sufficient
information to allow researchers to better optimize them. Thus,
they are turning to simulation software to get a deeper understanding of what is going on inside the cells, information they
can use in the design of batteries that are more reliable and safe.
EIS and ECM Methods Used Primarily Until Now
In vehicles, battery management systems (BMSs) are designed to protect the battery, predict vehicle range and update the
range prediction depending on driving conditions. These BMSs
use circuit models often derived from electrochemical impedance spectroscopy (EIS), a widely used technique to characterize batteries. With readings from an EIS system, it is possible to
construct an electronic component model (ECM) that consists of
resistances and capacitors connected both in series and in parallel
(see Figure 1, bottom). With the results from an ECM study (see
Figure 1, top) you can, for instance, determine a battery’s internal
resistance, which in turn dictates how much energy it can deliver:
is it good enough to propel a vehicle, enough to light up an
emergency exit sign,
or enough to power
a cell phone? Some
people attempt to get
additional information
from used batteries,
but it is understandably difficult to do an
accurate study on a
burned-out battery.
With an ECM,
you get component
values that mix the
contributions of
various phenomena occurring in the
cell. However, there
is a gap between
the meaning of the
electrical components
in the equivalent
Figure 1. Using Electrochemical Impedcircuit models and
ance Spectroscopy (EIS), battery impedthe physical equaance is measured at a range of frequentions characterizing
cies in the milliHertz to kiloHertz range.
the batteries. In our
From this impedance plot (top), it is
possible to construct an equivalent circuit case, an ECM does
model (bottom).
not provide any infor-
16
Battery Power • September/October 2013
mation about important cell properties like the electrode active
material resistance, the reaction rate, the specific capacitance,
and the diffusion coefficient. We can get this information from a
multiphysics model.
Realistic Multiphysics Simulation
Rather than work with an equivalent circuit model, we at
INES decided to create a physics-based model of a LiFePO4/Li
half cell. Its output is likewise a plot of impedance vs. frequency
so we could compare its results to those of EIS measurements
for verification. This model, though, gives us a great deal more
information that we can use in the design of batteries that are
more reliable and safe.
Because I am very familiar with the equations governing battery behavior, I built my own model from scratch in COMSOL
Multiphysics to give me full control of all parameters and even
deeper understanding from the simulation.
The physical battery
model is a half cell in the
shape of a button battery
(see Figure 2). I need to
study the half cell rather
than a conventional battery in order to separate
the electrodes and get a
more precise evaluation of
their physical properties;
if I were to work with a
complete cell, I would get
a mix of all the phenomena occurring in each
electrode without knowing
Figure 2. Half cell used as the basis
which electrode I should
for modeling and for verification.
attribute the resulting
parameter values.
The corresponding
simulation actually consists of two coupled 1D models (see
Figure 3). The first model represents the macroscopic level. It is
made up of two domains: the working electrode, plus the separator between the iron-phosphate electrode and the lithium foil,
which also serves as the counter-electrode (see Figure 3, left).
The second model represents the microscopic level, which has
only one domain. It models a spherical particle of iron phosphate, which is the main component of the working electrode’s
active material (see Figure 3, right).
Everything Done with PDEs Entered Through the GUI
Both models were created exclusively with partial differential equations (PDEs). The macroscopic model uses equations
for the conservation of current for the electronically conducting
solid phase, the conservation of current for the ionically conducting liquid phase, and the material balance on the salt LiPF6
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Table of Contents for the Digital Edition of Battery Power - September/October 2013
ABB to Build World’s Largest Network of EV Fast-Charging Stations in the Netherlands
Duracell Powermat and Starbucks Expand Wireless
Charging in Silicon Valley Area
Thermal Management of an Electrical Vehicle Battery Packing Using 1D and 3D CFD
New Battery Technologies - Added Value Electronics Can Turn Normal Batteries into Smart Battery Packs
A Novel Single-Compartment Concentration Cell Driven by Natural Evaporation for Green Energy Harvesting
Highly Accurate Li-Ion Battery Simulation
Batteries
ICs & Semiconductors
Charging, Testing & Monitoring
Industry News
Marketplace
Application Profile
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