(6.39) prevents stored electricity from being used by end-use loads such as space
heating. Equations (6.40) and (6.41) prevent the quantity of stored electricity from
exceeding storage capacity or falling below the minimum level; Eq. (6.42) resets
stored electricity to zero. Equation (6.43) prevents the use of electricity from storage
during the first hour of the year. Equation (6.44) prevents the use of stored electricity
unless a battery unit has been purchased. The battery cannot simultaneously charge
and discharge; this condition is constrained using Eqs. (6.45), (6.46), and (6.47).
SElec m,d,hþ1 ¼ ε E Á SElec m,d,h þ
X
i
IElec i,m,d,h þ IGElec m,d,24 À
X
u
OElec m,d,h,u
8m, d, h if h 6 ¼
0 24
0
ð6:36Þ
SElec m,d,þ1,1 ¼ ε E Á SElec m,d,24 þ
X
i
IElec i,m,d,24 þ IGElec m,d,24 À
X
u
OElec m,d,24,u
8m, d, if d 6 ¼
0 MDays m
0
ð6:37Þ
SElec mþ1,1,1 ¼ ε E Á SElec m,MDays m ,24 þ
X
i
IElec i,m,MDays m ,24 þ IGElec m,MDays m ,24
À
X
u
OElec m,MDays m ,24,u
8m if m 6 ¼
0 12
0
ð6:38Þ
OElec m,d,h,u ¼ 0 8m, d, h if u 2 space heating, water heating
f
g
ð6:39Þ
SElec m,d,h ES max 8m, d, h
ð6:40Þ
SElec m,d,h ! ES min 8m, d, h
ð6:41Þ
SElec 1,1,1 ¼ 0
ð6:42Þ
OElec 1,1,1,u ¼ 0 8u
ð6:43Þ
X
u
OElec m,d,h,u SElec m,d,h 8m, d, h
ð6:44Þ
flag I,m,d,h Á M
X
i
IElec i,m,d,h 8m, d, h
ð6:45Þ
flag O,m,d,h Á M
X
u
OElec m,d,h,u 8m, d, h
ð6:46Þ
flag I,m,d,h þ flag O,m,d,h 1
ð6:47Þ
Equation (6.48) prevents the use of recovered heat by end uses that cannot be
satisfied by the particular DER technology. Equations (6.49) and (6.52) are boundary conditions that prevent electricity from being used directly to meet heating loads,
while Eq. (6.50) prevents the direct burning of gas for electricity-only use. Equation
6 Development of a Tool to Optimize Urban-Rural Linkage and a Decentralized Power. . . 131