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Battery Modeling
Finally, battery is to be utilized as the starting power of the ignition of the vehicle
and can also be used (Fig.  10.12) by the implication of Peukert’s law of battery
charge which is
t
H
C
IH
k
discharge =






Here t represents the battery charge time, C represents the battery capacity, I represents the current flow, H represents the rated discharge time, and k is Peukert’s coefficient which is calculated by the following formula:
k
T
T
I
I
=
−
−
log
log
log
log
2
1
1
2
where I 1 and I 2 represent the variance of the charge current flow rates, and T 1 and T 2
represent the corresponding time for completely charged battery acquired by
t charging
Ampere hour of battery
Charging current
=
Fig. 10.12 Battery modeling of a car to ignite the engine and the car when not in motion. A block
diagram of a car also shown for determining V oc and SOC to control its voltage source
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