Modeling of Lithium-Ion Battery for Energy Storage System Simulation
Modeling of Lithium-Ion Battery for Energy Storage System Simulation
Modeling of Lithium-Ion Battery for Energy Storage System Simulation
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B. Charge Characteristics<br />
In this part <strong>of</strong> the study, the Ultralife UBBL10 lithium-ion<br />
battery was charged by a constant current 0.8A until the<br />
battery voltage reached 16.33V. Then the charging mode<br />
changed to constant voltage and the charge current eventually<br />
decayed to zero. This charging procedure is common, as can<br />
be seen in [9].<br />
Fig. 7 shows the voltage increases during the charging<br />
operation. When the voltage reaches the maximum value <strong>of</strong><br />
16.34 V, it remains at this value. That is reasonable <strong>for</strong> the<br />
lithium-ion battery studied.<br />
Fig. 7. Charging <strong>of</strong> the Ultralife UBBL10 lithium-ion battery:<br />
comparison between simulation and test results<br />
C. Thermal Characteristics<br />
In this part, the model is used to study how heat sink can<br />
affect battery operation. Using the same lithium-ion battery<br />
model written in VHDL-AMS with the initial SOD <strong>of</strong> the<br />
battery set to 0 and the load set to draw a constant current <strong>of</strong> 2<br />
A, the heat transfer coefficient was varied.<br />
Fig. 8 shows the simulation results <strong>of</strong> the battery<br />
temperature during discharge under different cooling<br />
conditions. Notice that the final temperatures are 28.2°C<br />
(301.2°K) and 33.5°C (306.5°K) respectively <strong>for</strong> the constant<br />
cooling coefficients <strong>of</strong> 5 W/m 2 K and 1 W/m 2 K. The battery<br />
temperature is nearly equaled to the ambient (25°C) <strong>for</strong> very<br />
large cooling coefficients (hc = 100 W/m 2 K). From the<br />
simulation results, it can be concluded that the battery<br />
temperature increases faster when the constant cooling<br />
coefficient is lower.<br />
Fig. 8. <strong>Simulation</strong> results <strong>of</strong> battery temperature during<br />
discharge (2A, 25� ambient) <strong>for</strong> different cooling conditions<br />
IV. CONCLUSIONS<br />
A model <strong>of</strong> a lithium-ion battery suitable <strong>for</strong> energy storage<br />
application has been shown. The model was <strong>for</strong>mulated in a<br />
general sense, but specifically <strong>for</strong> use in the SIMPLORER<br />
s<strong>of</strong>tware. The method accounts <strong>for</strong> current rate- and<br />
temperature- dependence <strong>of</strong> the capacity and thermal<br />
dependence <strong>of</strong> the equilibrium potential. The modeling<br />
procedure, based on the experimental data, allows the model<br />
to have both good accuracy and the flexibility to represent<br />
other types <strong>of</strong> batteries. The mathematical description <strong>of</strong> the<br />
battery has been coded to a VHDL-AMS model in the<br />
SIMPLORER s<strong>of</strong>tware.<br />
The battery model is shown to per<strong>for</strong>m satisfactorily, up to<br />
the cut<strong>of</strong>f voltage. It is governed by the k th order term in the<br />
polynomial representation <strong>of</strong> the reference curve. <strong>Simulation</strong><br />
results <strong>of</strong> the battery model agree well with the experimental<br />
data <strong>of</strong> an Ultralife UBBL10 lithium-ion battery in all static<br />
characteristics. This is because the internal resistance was<br />
defined based on the experimental data. It has two components<br />
R1 and R2. R1 is the initial resistance <strong>of</strong> the lithium-ion battery.<br />
It depends on the different discharge condition <strong>of</strong><br />
temperatures, current levels and lifecycle. R2 is the increased<br />
resistance with the SOD.<br />
ACKNOWLEDGMENTS<br />
The authors would like to thank the technical staff <strong>of</strong> the Power<br />
Electronics and Drives Laboratory <strong>for</strong> the support given.<br />
Special thanks to Mdm Lee-Loh <strong>for</strong> her technical support in the<br />
equipment usage and s<strong>of</strong>tware installation. Special thanks also<br />
go to D.L.Yao and T.D. Nguyen.<br />
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