Inter
national
J
our
nal
of
A
pplied
P
o
wer
Engineering
(IJ
APE)
V
ol.
15,
No.
3,
September
2026,
pp.
1475
∼
1483
ISSN:
2252-8792,
DOI:
10.11591/ijape.v15.i3.pp1475-1483
❒
1475
Impr
o
v
ed
micr
ogrid
ener
gy
coordination
via
h
ybrid
PSO
and
bidir
ectional
EV
integration:
perf
ormance
comparison
against
genetic
algorithm
Bilal
Amghar
,
T
ouk
Azib,
Khelil
Sidi
Brahim
EST
A
CA
LAB,
EST
A
CA
P
aris-Saclay
,
Montign
y-le-Bretonneux,
France
Article
Inf
o
Article
history:
Recei
v
ed
No
v
5,
2025
Re
vised
Jul
4,
2026
Accepted
Aug
15,
2026
K
eyw
ords:
Bidirectional
char
ging
Electric
v
ehicle
inte
gration
Genetic
algorithm
Microgrid
ener
gy
management
P
article
sw
arm
optimization
V
ehicle-to-grid
ABSTRA
CT
This
paper
presents
a
comparati
v
e
study
between
h
ybrid
particle
sw
arm
optimization
(PSO)
and
genetic
algorithm
(GA)
for
ener
gy
management
in
residential
microgrids
equipped
with
photo
v
olt
aic
generation,
stationary
battery
storage,
and
bidire
ctional
electric
v
ehicles
(V2G).
The
system
comprises
40
apartments,
1000
m²
solar
panels,
1
M
Wh
battery
storage,
and
15
electric
v
ehicles
with
V2G
capability
.
A
multi-objecti
v
e
optimization
frame
w
ork
minimizes
daily
operational
costs
while
satisfying
mobility
requirements,
state-of-char
ge
constraints,
and
battery
aging
cons
iderations.
Simulation
results
demonstrate
that
h
ybrid
PSO
signicantly
outperforms
GA,
achie
ving
a
net
daily
prot
of
279
C
(compared
to
100
C
cost
for
GA)
through
strate
gic
ener
gy
arbitrage
and
massi
v
e
grid
sales
(2232
kWh/day
vs
3.7
kWh/day
for
GA).
The
PSO-based
approach
achie
v
es
28%
ener
gy
autonomy
while
generating
substa
ntial
re
v
enue
from
feed-in
tarif
fs.
The
methodology
pro
vides
a
scalable
frame
w
ork
for
real-w
orld
V2G-inte
grated
microgrids,
with
ongoing
e
xperimental
v
alidation
at
the
EST
A
CA
V2G
testbed.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
Bilal
Amghar
EST
A
CA
LAB,
EST
A
CA
P
aris-Saclay
12
Rue
P
aul
Delouvrier
,
78180
Montign
y-le-Bretonneux,
France
Email:
bilal.amghar@estaca.fr
1.
INTR
ODUCTION
The
global
transition
to
w
ard
rene
w
able
ener
gy
has
accelerated
o
v
er
the
past
decade,
with
solar
and
wind
no
w
accounting
for
nearly
30%
of
w
orldwide
generation
[1].
Ho
we
v
er
,
their
intermittent
nature
poses
challenges
for
residential
grid
stability
.
Rooftop
PV
systems
often
e
xport
30–50%
of
midday
generation
due
to
limited
storage,
only
to
import
during
e
v
ening
peaks
[2],
diminishing
economic
and
en
vironmental
benets.
Electric
v
ehicles
(EVs)
of
fer
a
v
ersat
ile
solution
through
their
substantial
battery
capacities
(40–100
kWh)
and
gro
wing
adoption
of
bidirectional
v
ehicl
e-to-grid
(V2G)
technologies
[3],
[4].
EVs
can
absorb
e
xcess
PV
,
pro
vide
demand
response,
and
inject
ener
gy
during
peak
periods.
Early
research
focused
on
frequenc
y
re
gulation
[5],
peak
sha
ving
[4],
and
cost
minimization
using
time-of-use
tarif
fs,
b
ut
often
ne
glected
mobility
and
battery
health
constraints
[6].
Despite
progress,
four
critical
g
aps
remain.
First,
limited
algorithm
benchmarking:
syste
matic
comparisons
between
algorithms
(PSO,
GA,
DE,
MILP)
for
V2G
scheduling
are
scarce;
most
studies
e
v
aluate
a
single
algorithm
without
quantitati
v
e
benchmarking.
Second,
simplied
EV
mobility:
e
xisting
w
orks
often
assume
ideal
a
v
ailability
or
use
simplistic
schedules
[7],
[8],
underrepresented
realistic
trip
distances
and
user
J
ournal
homepage:
http://ijape
.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
1476
❒
ISSN:
2252-8792
constraints.
Third,
incomplete
economic
analysis:
feed-in
tarif
fs
and
grid
sale
re
v
enues
are
often
i
gnored
or
underv
alued,
with
most
studies
focusing
on
cost
minimization
rather
than
prot
maximization.
F
ourth,
limited
scalability
v
alidation:
studies
typically
v
alidate
on
small
systems
(5-20
households)
wi
thout
demonstrating
scalability
to
lar
ger
communities
[9],
[10].
This
paper
addresses
these
g
aps
with
four
contrib
utions:
i)
systematic
algorithm
comparison
benchmarking
h
ybrid
PSO
ag
ainst
GA
under
identical
conditions
(40
apartments,
15
EVs,
1
MWh
battery),
pro
viding
quantitati
v
e
metrics
including
con
v
er
gence
speed,
solution
quality
,
and
rob
ustness;
ii)
realistic
EV
a
v
ailability
modeling
with
specic
trip
schedules,
distance-based
consumption
(0.18
kWh/km),
and
state-of-char
ge
constraints
ensuring
mobility
readiness;
iii)
comprehensi
v
e
economic
analysis
incorporating
realistic
feed-in
tarif
fs
(0.08-0.37
C/kWh)
enabling
protable
grid
sales
and
re
v
enue
generation;
and
i
v)
scalability
demonstration
v
alidated
for
40
households
with
consistent
performance
from
10
to
80
households.
Section
2
presents
the
system
architecture
and
mathematical
modeling.
Section
3
details
the
h
ybrid
PSO
and
GA
optimization
frame
w
orks.
Section
4
presents
results
including
algorithm
comparison,
sensiti
vity
analysis,
and
statistical
v
alidation.
Section
5
concludes
with
limitations
and
future
w
ork.
2.
METHOD
2.1.
System
conguration
The
considered
microgrid
represents
a
residential
community
comprising
40
apartments
equipped
with
1000
m²
solar
panels,
1
MWh
stationary
battery
capacity
,
and
15
bidirectional
electric
v
ehicles.
Figure
1
illustrates
the
complete
system
archite
cture
with
po
wer
and
communication
o
ws.
Ov
erall
microgrid
system
architecture
sho
wing
po
wer
o
w
directions
(solid
lines)
and
communication
links
(dashed
lines)
between
smart
char
ging
stations,
consumers,
rene
w
able
sources,
and
the
electrical
grid.
T
able
1
summarizes
the
complete
conguration.
Figure
1.
System
architecture
with
po
wer
and
communication
o
ws
T
able
1.
Microgrid
system
conguration
(40
apartments)
Component
P
arameter
V
alue
Component
P
arameter
V
alue
PV
system
Area
1000
m²
Electric
v
ehicles
Number
15
v
ehicles
Ef
cienc
y
18%
Capacity
per
v
ehicle
60
kWh
Peak
irradiance
900
W/m²
V2G
po
wer
11
kW/v
ehicle
Daily
production
≈
180
kWh
T
otal
V2G
capacity
165
kW
/
900
kWh
Stationary
battery
Capacity
1000
kWh
SOC
limits
20-95%
Po
wer
rating
200
kW
Ef
cienc
y
92%
Ef
cienc
y
95%
Building
load
Apartments
40
units
SOC
limits
10-95%
Daily
consumption
≈
900
kWh
Peak
demand
≈
80
kW
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
3,
September
2026:
1475–1483
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Appl
Po
wer
Eng
ISSN:
2252-8792
❒
1477
2.2.
EV
a
v
ailability
modeling
T
able
2
presents
the
realistic
EV
a
v
ailability
pattern
used
in
this
study
.
V
ehicles
are
a
v
ailable
for
V2G
services
e
xcept
during
three
daily
tra
v
el
periods.
The
morning
commute,
lunch
break,
and
e
v
ening
trip
represent
periods
when
the
EV
is
a
w
ay
and
therefore
una
v
ailable
for
V2G
operation.
T
able
2.
EV
a
v
ailability
and
tra
v
el
schedule
Period
T
ime
Status
Ener
gy
consumption
Morning
commute
8:00-10:00
A
w
ay
15
km
(2.7
kWh)
Lunch
break
12:00-14:00
A
w
ay
12+8
km
(3.6
kWh)
Ev
ening
trip
17:00-18:00
A
w
ay
18
km
(3.2
kWh)
All
other
hours
-
A
v
ailable
-
2.3.
P
o
wer
balance
f
ormulation
The
fundamental
po
wer
equilibrium
at
each
time
interv
al
is
as
in
(1).
P
grid
(
t
)
+
P
PV
(
t
)
+
P
dch
bat
(
t
)
+
P
dch
EV
(
t
)
=
P
load
(
t
)
+
P
transport
(
t
)
+
P
ch
bat
(
t
)
+
P
ch
EV
(
t
)
(1)
Where
P
grid
(
t
)
is
positi
v
e
for
import
(purchase)
and
ne
g
ati
v
e
for
e
xport
(sale),
P
PV
(
t
)
is
solar
generation,
P
ch/dch
bat
and
P
ch/dch
EV
are
battery
and
EV
char
ging/dischar
ging
po
wers,
P
load
(
t
)
is
b
uilding
demand,
and
P
transport
(
t
)
is
EV
tra
v
el
ener
gy
.
2.4.
Solar
generation
model
The
photo
v
oltaic
output
follo
ws
a
normalized
solar
prole,
as
(2).
P
PV
(
t
)
=
A
PV
·
η
PV
·
G
peak
·
I
norm
(
t
)
(2)
W
ith
A
PV
=
1000
m²,
η
PV
=
0
.
18
,
G
peak
=
900
W/m²,
and
I
norm
(
t
)
the
normalized
irradiance
prole
peaking
at
solar
noon.
2.5.
Storage
dynamics
The
state
of
char
ge
(SOC)
progression
for
stationary
battery
,
as
in
(3).
SOC
bat
(
t
+
1)
=
SOC
bat
(
t
)
+
η
ch
bat
P
ch
bat
(
t
)
−
P
dch
bat
(
t
)
C
bat
·
∆
t
(3)
F
or
EV
eet
(aggre
g
ated):
SOC
EV
(
t
+
1)
=
SOC
EV
(
t
)
+
η
ch
EV
P
ch
EV
(
t
)
−
P
dch
EV
(
t
)
N
EV
·
C
EV
·
∆
t
−
E
tra
v
el
(
t
)
N
EV
·
C
EV
(4)
Where
E
tra
v
el
(
t
)
is
total
tra
v
el
ener
gy
at
time
t
,
N
EV
=
15
,
C
EV
=
60
kWh.
Operational
constraints:
SOC
min
bat
≤
SOC
bat
(
t
)
≤
SOC
max
bat
(5)
SOC
min
EV
≤
SOC
EV
(
t
)
≤
SOC
max
EV
(6)
0
≤
P
ch
bat
(
t
)
≤
P
max
bat
(7)
0
≤
P
dch
bat
(
t
)
≤
P
max
bat
(8)
0
≤
P
ch
EV
(
t
)
≤
N
EV
·
P
max
EV
,unit
(if
a
v
ailable)
(9)
0
≤
P
dch
EV
(
t
)
≤
N
EV
·
P
max
EV
,unit
(if
a
v
ailable)
(10)
Impr
o
ved
micr
o
grid
ener
gy
coor
dination
via
hybrid
PSO
and
bidir
ectional
EV
inte
gr
ation:
...
(Bilal
Amghar)
Evaluation Warning : The document was created with Spire.PDF for Python.
1478
❒
ISSN:
2252-8792
2.6.
Electricity
pricing
T
ime-of-use
purchase
and
feed-in
tarif
fs
are
presented
in
T
able
3.
The
electricity
prices
v
ary
across
dif
ferent
tim
e
periods,
reecting
the
dynamic
nature
of
electricity
tarif
fs
throughout
the
day
.
The
purchase
price
represents
the
cost
of
electricity
from
the
grid,
while
the
sell
price
indicates
the
re
v
enue
from
supplying
electricity
back
to
the
grid.
T
able
3.
Dynamic
electricity
pricing
(
C/kWh)
Hour
Purchase
price
Sell
price
Incenti
v
e
0-5
0.10-0.12
0.08-0.10
Moderate
6-7
0.13-0.16
0.11-0.14
Moderate
8-10
0.18-0.22
0.16-0.20
High
11-14
0.25-0.30
0.22-0.27
High
15-17
0.20-0.25
0.17-0.22
Moderate
18-20
0.35-0.40
0.32-0.37
V
ery
high
21-23
0.25-0.18
0.22-0.15
Moderate
2.7.
Optimization
pr
oblem
f
ormulation
2.7.1.
Decision
v
ariables
The
decision
v
ector
co
v
ers
24
hours
with
5
v
ariables
per
time
step
(120
total):
x
=
[
P
ch
bat
(1)
,
P
dch
bat
(1)
,
P
ch
EV
(1)
,
P
dch
EV
(1)
,
P
grid
(1)
,
.
.
.
,
P
grid
(24)]
(11)
2.7.2.
Objecti
v
e
function
Minimize
daily
net
cost:
J
=
24
X
t
=1
C
grid
(
t
)
+
C
aging
(
t
)
+
λ
·
Imbalance
(
t
)
2
+
ϕ
·
SOC
penalty
(12)
where:
C
grid
(
t
)
=
(
P
grid
(
t
)
·
π
purchase
(
t
)
·
∆
t,
P
grid
(
t
)
>
0
P
grid
(
t
)
·
π
sell
(
t
)
·
∆
t,
P
grid
(
t
)
≤
0
(13)
C
aging
(
t
)
=
P
ch
bat
(
t
)
+
P
dch
bat
(
t
)
·
c
bat
·
∆
t
+
P
ch
EV
(
t
)
+
P
dch
EV
(
t
)
·
c
EV
·
∆
t
(14)
Imbalance
(
t
)
=
P
grid
(
t
)
−
P
load
(
t
)
+
P
transport
(
t
)
+
P
ch
bat
(
t
)
+
P
ch
EV
(
t
)
−
P
PV
(
t
)
−
P
dch
bat
(
t
)
−
P
dch
EV
(
t
)
(15)
SOC
penalty
=
max(0
,
SOC
tar
get
−
SOC
EV
(24))
·
κ
(16)
P
arameter
v
alues:
c
bat
=
0
.
005
C/kWh,
c
EV
=
0
.
003
C/kWh,
λ
=
10
,
ϕ
=
50
,
κ
=
50
,
SOC
tar
get
=
0
.
8
.
2.8.
Hybrid
PSO
algorithm
description
2.8.1.
Algorithm
o
v
er
view
The
h
ybrid
PSO
combines
global
e
xploration
of
particle
sw
arm
optimization
with
local
renement
using
gradient-based
methods.
The
multi-objecti
v
e
nature
is
addressed
using
the
weighted
sum
approach,
a
widely
used
and
v
alidated
technique
in
the
literature
[11],
[12].
The
algorithm
proceeds
as
follo
ws:
–
Step
1
-
Initialization:
Ge
n
e
rate
100
particles
with
random
positions
x
i
within
bounds
and
random
v
elocities
v
i
.
–
Step
2
-
Ev
aluation:
Ev
aluate
objecti
v
e
function
J
(
x
i
)
for
each
particle.
–
Step
3
-
Personal
best
update:
If
J
(
x
i
)
<
J
(
p
i
)
,
update
personal
best
p
i
=
x
i
.
–
Step
4
-
Global
best
update:
Find
particle
with
minimum
objecti
v
e:
g
=
arg
min
i
J
(
p
i
)
.
–
Step
5
-
V
elocity
update:
v
k
+1
i
=
w
v
k
i
+
c
1
r
1
(
p
k
i
−
x
k
i
)
+
c
2
r
2
(
g
k
−
x
k
i
)
(17)
W
ith
inertia
weight
w
=
0
.
729
,
cogniti
v
e
coef
cient
c
1
=
1
.
496
,
social
coef
cient
c
2
=
1
.
496
[13],
[14].
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
3,
September
2026:
1475–1483
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Appl
Po
wer
Eng
ISSN:
2252-8792
❒
1479
–
Step
6
-
Position
update:
x
k
+1
i
=
x
k
i
+
v
k
+1
i
.
–
Step
7
-
Constraint
handling:
Project
infeasible
positions
to
nearest
feasible
boundary
.
–
Step
8
-
T
ermination
check:
Repeat
Steps
2-7
until
maximum
iterations
(200)
or
function
tolerance
(1e-6).
–
Step
9
-
Local
renement:
Apply
fmincon
to
global
best
solution
g
for
gradient-based
local
optimization.
This
h
ybrid
approach,
combining
a
heuristic
with
a
deterministic
opti
mizer
,
is
a
common
practice
to
impro
v
e
solution
quality
[15],
[16].
2.8.2.
Constraint
handling
strategy
Inequality
constraints
are
handled
via
penalty
functions:
J
total
=
J
(
x
)
+
ρ
X
j
max(0
,
g
j
(
x
))
2
(18)
Where
g
j
(
x
)
are
constraint
violations
and
ρ
=
10
4
is
the
penalty
coef
cient.
2.9.
Genetic
algorithm
implementation
F
or
comparison,
we
implement
a
standard
GA
with:
i)
population
size:
100;
ii)
generations:
200;
i
ii)
selection:
tournament
(size
3);
i
v)
crosso
v
er:
uniform
(rate
0.8);
v)
mutation:
Gaussian
(rate
0.05);
vi)
elite
count:
5.
3.
RESUL
TS
AND
DISCUSSION
3.1.
Algorithm
comparison:
po
wer
o
w
analysis
Figure
2
sho
ws
t
he
PSO-optimized
po
wer
o
ws
sho
wing
PV
generation,
load
consumption,
battery
and
V2G
po
wer
,
and
gri
d
e
xchange.
Positi
v
e
grid
v
alues
indicate
purchas
e,
ne
g
ati
v
e
indicate
sale.
Dri
ving
periods
sho
wn
as
shaded
re
gions.
Figure
3
sho
ws
the
GA-optimized
po
wer
o
ws.
Note
the
signicant
dif
ference
in
grid
sale
v
olume
compared
to
PSO.
The
shaded
re
gions
indicate
EV
tra
v
el
periods
when
v
ehicles
are
una
v
ailable
for
V2G
services.
–
PSO
per
formance:
The
PSO-optimized
schedule
demonstrates
aggressi
v
e
yet
strate
gic
grid
sales
during
high-price
periods
(18:00-20:00),
achie
ving
2232.3
kWh/day
sold.
Battery
and
V2G
dischar
ge
are
coordinated
to
maximize
re
v
enue
while
maintaining
SOC
constraints
[17],
[18].
–
GA
performance:
In
contrast,
GA
achie
v
es
only
3.7
kWh/day
sold,
indicating
f
ailure
to
e
xploit
the
prot
opportunity
from
feed-in
tarif
fs
[19].
T
i
m
e
(
h
o
u
r
s
)
0
5
1
0
1
5
2
0
P
o
w
e
r
(
k
W
)
-
3
0
0
-
2
0
0
-
1
0
0
0
1
0
0
2
0
0
P
P
V
L
o
a
d
B
a
t
t
e
r
y
V
2
G
G
r
i
d
B
u
y
G
r
i
d
S
e
l
l
O
u
t
o
f
G
r
i
d
Figure
2.
PSO-optimized
po
wer
o
ws
T
i
m
e
(
h
o
u
r
s
)
0
5
1
0
1
5
2
0
P
o
w
e
r
(
k
W
)
-
2
0
0
-
1
0
0
0
1
0
0
2
0
0
3
0
0
P
P
V
L
o
a
d
B
a
t
t
e
r
y
V
2
G
G
r
i
d
B
u
y
G
r
i
d
S
e
l
l
O
u
t
o
f
G
r
i
d
Figure
3.
GA-optimized
po
wer
o
ws
3.2.
State-of-char
ge
e
v
olution
Figures
4
and
5
present
SOC
e
v
olution
for
stationary
battery
and
EV
eet.
Figure
4
sho
ws
the
battery
c
ycles
between
10-95%,
while
EV
SOC
maintains
mobility
readiness
(
>
20%)
and
reaches
tar
get
80%
by
day
end.
The
both
storage
systems
in
Figure
5
sho
w
less
strate
gic
c
ycling,
with
EV
SOC
remaining
hi
gher
(less
V2G
participation).
Impr
o
ved
micr
o
grid
ener
gy
coor
dination
via
hybrid
PSO
and
bidir
ectional
EV
inte
gr
ation:
...
(Bilal
Amghar)
Evaluation Warning : The document was created with Spire.PDF for Python.
1480
❒
ISSN:
2252-8792
T
i
m
e
(
h
o
u
r
s
)
0
5
1
0
1
5
2
0
S
t
a
t
e
o
f
C
h
a
r
g
e
(
%
)
0
2
0
4
0
6
0
8
0
1
0
0
B
a
t
t
e
r
y
E
V
F
l
e
e
t
O
u
t
o
f
G
r
i
d
Figure
4.
PSO-optimized
SOC
e
v
olution
T
i
m
e
(
h
o
u
r
s
)
0
5
1
0
1
5
2
0
S
t
a
t
e
o
f
C
h
a
r
g
e
(
%
)
0
2
0
4
0
6
0
8
0
1
0
0
B
a
t
t
e
r
y
E
V
F
l
e
e
t
O
u
t
o
f
G
r
i
d
Figure
5.
GA-optimized
SOC
e
v
olution
3.3.
Quantitati
v
e
perf
ormance
comparison
The
results
presented
in
T
able
4
demonstrate
the
comparati
v
e
performance
of
the
h
ybrid
PSO
and
GA
approaches
in
terms
of
economic
performance,
ener
gy
utilization,
and
computat
ional
ef
cienc
y
.
Hybrid
PSO
achie
v
es
a
lo
wer
net
daily
cost
and
f
aster
con
v
er
gence
than
GA,
while
GA
pro
vides
higher
ener
gy
autonomy
.
Ov
erall,
h
ybrid
PSO
of
fers
better
economic
performance
and
computational
ef
cienc
y
,
whereas
GA
pro
vides
greater
ener
gy
autonomy
.
3.4.
Statistical
v
alidation
T
able
5
presents
results
across
30
independent
runs
to
assess
rob
ustness.
Hybrid
PSO
achie
v
es
a
lo
wer
net
cost
and
higher
ener
gy
sales
than
GA.
It
also
e
xhibits
shorter
con
v
er
gence
time
and
a
higher
success
rate
compared
with
GA.
These
results
conrm
the
superior
rob
ustness
and
consistenc
y
of
h
ybrid
PSO.
T
able
4.
Quantitati
v
e
comparison:
h
ybrid
PSO
vs
GA
Metric
Hybrid
PSO
GA
Metric
Hybrid
PSO
GA
Net
daily
cost
(
C/day)
-279.14
100.07
Net
grid
balance
(
C/day)
-315.63
75.24
Ener
gy
sold
(kWh/day)
2232.3
3.7
Ener
gy
autonomy
(%)
28.0
67.9
Ener
gy
purchased
(kWh/day)
739.2
329.0
Con
v
er
gence
time
(s)
124
156
Re
v
enue
from
sales
(
C/day)
486.11
1.30
Iterations
to
con
v
er
ge
87
142
Purchase
cost
(
C/day)
170.49
76.54
T
able
5.
Statistical
results
(30
runs,
mean
±
std)
Metric
Hybrid
PSO
GA
Net
cost
(
C/day)
-278.9
±
8.4
101.2
±
15.7
Ener
gy
sold
(kWh/day)
2231.8
±
45.2
4.1
±
2.3
Con
v
er
gence
time
(s)
125.3
±
12.1
158.4
±
18.6
Success
rate
(feasible
solutions)
100%
96.7%
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
3,
September
2026:
1475–1483
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Appl
Po
wer
Eng
ISSN:
2252-8792
❒
1481
3.5.
Sensiti
vity
analysis
The
sensiti
vity
analysis
sho
wn
as
belo
w:
i)
Impact
of
feed-in
tarif
fs:
Reducing
feed-in
tarif
fs
by
20%
decreases
PSO
re
v
enue
to
389
C/day
b
ut
still
yields
net
prot
(-189
C/day).
GA
remains
unprotable
(85
C/day)
[20],
[21];
ii)
Impact
of
solar
v
ariability:
Under
±15%
solar
irradiance
uncertainty
,
PSO
net
cost
ranges
from
-251
to
-305
C/day
,
demonstrating
rob
ustness.
GA
remains
positi
v
e
(85-115
C/day)
[22];
iii)
System
size
scalability:
Results
for
10,
20,
40,
and
80
households
sho
w
consistent
PSO
adv
antage:
cost
reduction
of
65-72%
compared
to
GA
across
all
scales
[23],
[24].
3.6.
Discussion:
wh
y
PSO
outperf
orms
GA
The
superior
performance
of
h
ybrid
PSO
can
be
attrib
uted
to
three
f
actors:
i)
memory-based
search
with
personal
and
global
best
memories,
ii)
gradient
local
renement
via
fmincon,
and
iii)
ef
fecti
v
e
constraint
handling
through
v
elocity
clamping
and
boundary
projection
[25].
4.
CONCLUSION
This
paper
presented
a
systematic
comparison
between
h
ybrid
particle
sw
arm
optimization
and
geneti
c
algorithm
for
V2G-enabled
microgrid
ener
gy
management
applied
to
a
40-apartment
residential
system
with
1000
m²
of
solar
panels,
1
MWh
of
stationary
battery
storage,
and
15
bidirectional
electric
v
ehicles.
The
simulation
results
demonstrate
that
h
ybrid
PSO
signicantly
outperforms
GA
across
all
economic
and
technical
metrics.
Specically
,
the
PSO-based
approach
achie
v
es
a
net
daily
prot
of
279
C,
whereas
GA
incurs
a
net
daily
cost
of
100
C,
representing
a
performance
g
ap
of
379
C
per
day
.
This
remarkable
dif
ference
is
primarily
dri
v
en
by
PSO’
s
ability
to
e
xploit
protable
grid
sales,
generating
486
C
per
day
in
re
v
enue
compared
to
only
1.30
C
per
day
for
GA.
Be
yond
economic
performance,
PSO
also
demonstrates
superior
computational
ef
cienc
y
,
con
v
er
ging
in
124
seconds
(87
iterations)
compared
to
156
seconds
(142
iterations)
for
GA,
while
maintaining
100%
feasibility
across
30
independent
runs
v
ersus
96.7%
for
GA.
Despite
these
promising
results,
se
v
eral
limitations
mus
t
be
ackno
wledged:
i)
the
current
fr
ame
w
ork
assumes
perfect
forecasts
of
PV
generation
and
load
demand,
ii)
battery
de
gradation
is
modeled
using
a
li
near
ener
gy-throughput
approach,
iii)
EV
a
v
ailability
is
modeled
using
a
determ
inistic
schedule,
i
v)
distrib
ution-le
v
el
grid
impacts
(v
oltage
de
viations,
transformer
loading)
are
ignored,
v)
the
optimization
horizon
is
limited
to
24
hours.
Future
w
ork
will
address
these
limitations
through
stochastic
optimization,
nonlinear
aging
models,
probabilistic
mobility
modeling,
po
wer
o
w
inte
gration,
and
multi-horizon
planning.
Ongoing
e
xperimental
v
alidation
at
the
EST
A
CA
V2G
testbed
will
further
v
alidate
the
proposed
frame
w
ork.
A
CKNO
WLEDGMENTS
The
authors
w
ould
lik
e
to
thank
EST
A
CA
LAB
for
pro
viding
the
research
f
acilities
and
the
V2G
testbed
infrastructure
used
in
this
study
.
FUNDING
INFORMA
TION
Authors
state
no
funding
in
v
olv
ed.
A
UTHOR
CONTRIB
UTIONS
ST
A
TEMENT
This
journal
uses
the
Contrib
utor
Roles
T
axonomy
(CRediT)
to
recognize
indi
vidual
author
contrib
utions,
reduce
authorship
disputes,
and
f
acilitate
collaboration.
Name
of
A
uthor
C
M
So
V
a
F
o
I
R
D
O
E
V
i
Su
P
Fu
Bilal
Amghar
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
T
ouk
Azib
✓
✓
✓
✓
✓
✓
✓
Khelil
Sidi
Brahim
✓
✓
✓
✓
✓
✓
✓
C
:
C
onceptualization
I
:
I
n
v
estig
ation
V
i
:
V
i
sualization
M
:
M
ethodology
R
:
R
esources
Su
:
Su
pervision
So
:
So
ftw
are
D
:
D
ata
Curation
P
:
P
roject
Administration
V
a
:
V
a
lidation
O
:
Writing
-
O
riginal
Draft
Fu
:
Fu
nding
Acquisition
F
o
:
F
o
rmal
Analysis
E
:
Writing
-
Re
vie
w
&
E
diting
Impr
o
ved
micr
o
grid
ener
gy
coor
dination
via
hybrid
PSO
and
bidir
ectional
EV
inte
gr
ation:
...
(Bilal
Amghar)
Evaluation Warning : The document was created with Spire.PDF for Python.
1482
❒
ISSN:
2252-8792
CONFLICT
OF
INTEREST
ST
A
TEMENT
Authors
state
no
conict
of
interest.
D
A
T
A
A
V
AILABILITY
The
data
that
support
the
ndings
of
this
study
are
a
v
ailable
from
the
corresponding
author
upon
reasonable
request.
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Int
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Appl
Po
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Eng
ISSN:
2252-8792
❒
1483
BIOGRAPHIES
OF
A
UTHORS
Bilal
Amghar
recei
v
ed
his
Ph.D.
in
Automatic
Control,
Electronics,
and
Electrical
Engineering
from
ENSEA
(Uni
v
ersity
of
Cer
gy
,
France)
i
n
2013.
He
joined
EST
A
CA
in
2024
after
six
years
at
an
ECAM
group
engineering
school
and
v
e
years
at
ESTP
.
He
w
as
responsible
for
se
v
eral
scientic
projects
including
BCAPP
(Qua
lied
Business
Check
Application)
and
participated
in
academic
and
industrial
research
projects
(Hydro+,
Seiner
gy
Lab,
and
SMAR
T
GRID).
He
has
also
supervised
se
v
eral
P
h.D.
theses
on
ener
gy
mix
optimization
(microgrid,
smartgrid,
and
embedded
ener
gy).
He
is
currently
an
associate
professor
and
researcher
in
the
eld
of
ener
gy
(smart
city
,
smart
grids,
and
smart
char
ging)
at
EST
A
CA
P
aris-Saclay
Campus,
France.
He
can
be
contacted
at
email:
bilal.amghar@estaca.fr
.
T
ouk
Azib
recei
v
ed
his
Engineer
de
gree
in
Electrotechnics
(Electrical
Control
option)
from
Ferhat
Abbas
Uni
v
ersity
Setif
(UF
AS),
Algeria
(2001-2006).
He
recei
v
ed
his
M.Sc.
in
Electrical
and
Electronic
Engineering
(po
wer
electronics
and
control
track)
from
ENSEM
-
INPL
Nanc
y
,
France
(2006-2007).
He
earned
his
Ph.D.
in
Electrical
Engineering
from
the
Uni
v
ersity
of
P
aris
Sud
XI
(Laboratoire
de
G
´
enie
Electrique
de
P
aris
-
LGEP)
in
2010,
with
the
dissertation
titled
”Contrib
ution
`
a
l’Etude
d’Electro-g
´
en
´
erateur
`
a
Pile
`
a
Comb
ustible.
Conception
d’Architectures
et
de
Leurs
Commandes”
(with
highest
honors).
He
obtained
his
Habilitation
`
a
Diriger
des
Recherches
(HDR)
from
Uni
v
ersit
´
e
P
aris-Saclay
(Doctoral
S
chool
EOBE
n°575)
on
the
topic
”Cont
rib
ution
`
a
la
conc
eption
optimale
des
syst
`
emes
´
ener
g
´
etiques
embarqu
´
es:
pr
´
e-dimensionnement
et
gestion
d’
´
ener
gie.
”
He
is
currently
a
professor
at
EST
A
CA
P
aris-Saclay
and
head
of
the
EST
A
CA
LAB
ener
gy
group.
His
research
focuses
on
po
wer
electronics,
electric
v
ehicle
char
ging
infrastructure,
and
smart
grid
inte
gration.
He
can
be
contacted
at
email:
touk.azib@estaca.fr
.
Khelil
Sidi
Brahim
recei
v
ed
his
Ph.D.
in
Automatic
Control
from
the
Uni
v
ersity
of
Picardie
Jules
V
erne,
Amiens,
France,
in
2023.
From
2022
to
2023,
he
w
as
a
T
emporary
T
eaching
and
Research
Attach
´
e
(A
TER)
at
the
LIS
Laboratory
and
the
Computer
Science
and
I
nteractions
Department
of
Aix-Marseille
Uni
v
ersity
.
From
2023
to
June
2024,
he
held
a
contract
teaching
position
in
the
Industrial
Engineering
and
Maintenance
Department
of
IUT
Char
tres.
Since
July
2024,
he
has
been
an
associate
profess
or
and
researcher
at
EST
A
CA
P
aris-Saclay
Campus.
His
current
research
focuses
on
the
de
v
elopment
of
rob
ust
adapti
v
e
control
mechanisms,
trajectory
tracking,
autonomous
v
ehicles,
drones,
and
relat
ed
applications.
He
can
be
contacted
at
email:
khelil.sidibrahim@estaca.fr
.
Impr
o
ved
micr
o
grid
ener
gy
coor
dination
via
hybrid
PSO
and
bidir
ectional
EV
inte
gr
ation:
...
(Bilal
Amghar)
Evaluation Warning : The document was created with Spire.PDF for Python.