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The article uses the annual economic benefit maximization for the objective
function which contains two parts: the annual saving power costs after compensating
the reactive power
Z
and the annual comprehensive costs of the reactive
e
compensation equipments
Z
.
NC
max
FZZ
=
-
=(
ΔΔ
P P
-
)
τβ
-
KK
(
Q
)
(1)
e
c
0
Σ
max
ac
ci
i
=
1
where,
Q
,
Q
,...
Q
—the compensation capacities of
NC
compensation
2
cNC
points(decision variable).
Δ —the active power loss in the situation of peak load before compensating the
reactive power.
P
Σ
—the active power loss in the situation of peak load after compensating the
reactive power.
Δ
τ
—the hours of the annual peak load loss.
max
—the active power price.
K
—the maintenance and depreciation rate of compensation device.
K
—the comprehensive cost of unit compensation capacity.
β
If
Z Z
, it means that the saving power cost is more than the comprehensive
investment of compensation device, so the investment can be considered cost-
effective, the difference between the saving cost and the investment is the annual
economic benefit, this is the optimization objective of the paper and the optimization
purpose is maximum annual economic benefit.
>
e
c
2.2
Constraints
In order to guarantee the quality of electric energy, need to prescribe the upper and
lower limits of node voltage, the voltage amplitude constraints are shown as
following:
VVV
≤≤
(2)
k
min
k
k
max
where,
V
—voltage of the node.
V
,
V
— upper and lower limits of node voltage.
min
max
is the node number,
KV
is the voltage constraint node
k
=
1,2,...
KV KV
,
≤
N N
,
number.
The power factor reflects the efficiency of power transmission, constraints are
shown as following:
cos
φ
≤
cos
φ
≤
cos
φ
(3)
l
min
l
l
max
where,
,
NL
is the system branch number,
NF
is the power
factor constraints branch number.
l
=
1,2,...
NF
,
NF
≤
NL
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