Environmental Engineering Reference
In-Depth Information
where φ is a correction factor that accounts for the pressure loss from the
storage reservoir to the turbine inlet (~0.90).
k
−
1
S
d
dt
V p M
RT
=
d
dt
V M p
RT
p
p
k
S
m
=
S S
W
S W S
S
S
S
2
(5.25)
A
S
2
k
−
1
S
V M
RT
p
p
d
p
dt
1
k
S
m
=
S
W
S
S
2
S
(5.26)
A
k
S
S
2
Substituting Equations (5.36) and (5.38) into (5.30), the energy storage
density is
k
−
1
S
k
−
k
−
1
1
S
2
k
E
V
α
M
RT
p
p
1
−
p
p
p
p
S
1
S
k
k
∫
2
S
2
GEN
S
=
W
S
S
2
β
+
1
b
dp
(5.27)
S
k
p
ϕ
p
S
S
S
2
2
S
1
k
−
1
S
k
−
k
−
k
−
k
−
1
1
1
1
s
2
s
2
+
k
α
M
RT
p
p
−
p
p
p
p
S
1
1
S
k
k
S
k
k
(
)
∫
2
∫
2
S
S
2
2
=
W
S
S
2
β
+
dp
1
b
dp
1
S
S
k
p
ϕ
p
p
p
S
S
S
2
2
S
1
S
1
(5.28)
k
−
1
k
−
1
2
2
−
1
1
1
2
α
M p
RT k
p
p
p
p
p
p
1
k
S
−
1
k
S
+
−
2
(
)
∫
2
∫
2
2
2
=
W S
S
2
β
+
p
k
S
dp
−
1
b
S
2
p
k
S
k
dp
1
S
S
S
S
p
k
ϕ
1
1
2
1
S
+
−
1
p
p
S
S
2
2
2
k
S
k
S
1
p
S
1
S
2
(5.29)
1
1
2
+
−
k
−
1
1
2
k
S
k
1
k
S
−
α
M p
RT
−
p
p
p
p
p
p
p
1
k
(
)
2
=
W S
S
2
β
+
S
S
1
1
b
S
−
S
1
1 1
1
ϕ
1
1
p
S
k
+
−
1
2
2
2
2
S
2
k
k
S
2
(5.30)
