Environmental Engineering Reference
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(c) Calculate the total package volume of this EESU if the packing factor
PF ¼ 69%.
(d) Using the volume calculated in (c) and given that the effective package
density, including electronics is r EESU ¼ 6.2, calculate the total package
mass.
Solution:
(a)
Let the total number of individual cells be N c . Then
t ¼ ð 8 : 854 10 12
Þð 18 : 543 10 3
Þð 5 : 806 10 5
e 0 KA
Þ
C cell ¼
9 : 732 10 6
¼ 0 : 9795 m F
C tot
C cell ¼
30 : 693
0 : 9795 10 6 ¼ 31 : 335 10 6
N c ¼
(b)
The electric field in each cell for the stated dimensions is
U mx
t ¼
9 : 732 10 6 ¼ 3 : 596 10 8 ; r 3 : 596 MV
3,500
E ¼
cm
(c)
Given that the aluminium flash coating on each dielectric slab of thick-
ness, t ,is1 m m:
Vol cell ¼ A ð t þ 1 m m Þ¼ð 5 : 806 10 5
Þð 10 : 732 10 6
Þ
¼ 62 : 31 10 11
31 : 335 10 6
ð 62 : 31 10 11
N c Vol cell
P f
Þ
Vol EESU ¼
¼
0 : 69
0 : 01953 m 3
0 : 69
¼ 0 : 0283 m 3
¼
This means a 28.3 L EESU package volume to store 52.22 kWh.
(d)
The package mass of the EESU is therefore
M EESU ¼
r EESU Vol EESU ¼ 4 : 06 ð 28 : 3 Þ¼ 114 : 9kg
This example serves to illustrate two important aspects of all ESS. First, it is
possible to realize very large energy storage by the combination of many smaller
cells. In the case of the EESU it required over 31M such cells all parallel con-
nected. Second, combinations of elementary cells are normally arranged into
modules and then modules are connected into packs. Reasonable packing factor for
cells in modules and packs is generally on the order of 70%.
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