Indonesian
J
our
nal
of
Electrical
Engineering
and
Computer
Science
V
ol.
43,
No.
2,
August
2026,
pp.
672
∼
682
ISSN:
2502-4752,
DOI:
10.11591/ijeecs.v43.i2.pp672-682
❒
672
Condence-dri
v
en
adapti
v
e
operating-point
optimization
f
or
photo
v
oltaic
systems
under
partial
shading
conditions
Sarah
Kawther
Sedjar
1
,
Mourad
Benmessaoud
2
1
Laboratory
of
Automation
and
Systems
Analysis
(LAAS),
Department
of
Electrical
Engineering,
National
Polytechnic
School
of
Oran
Maurice
Audin
(ENPO-MA),
Oran,
Algeria
2
Simulation,
Control,
Analysis
and
Maintenance
of
Electrical
Netw
orks
(SCAMRE),
Department
of
Electrical
Engineering,
National
Polytechnic
School
of
Oran
Maurice
Audin
(ENPO-MA),
Oran,
Algeria
Article
Inf
o
Article
history:
Recei
v
ed
Jun
10,
2026
Re
vised
Jul
14,
2026
Accepted
Jul
23,
2026
K
eyw
ords:
Adapti
v
e
e
xploration
control
Condence-re
gulated
optimization
Embedded
photo
v
oltaic
control
Global
maximum
po
wer
point
tracking
Prediction-guided
MPPT
Search-space
contraction
ABSTRA
CT
P
artial
shading
conditions
(PSC)
generate
highly
nonlinear
multi
-peak
photo-
v
oltaic
(PV)
characteristics,
complicating
reliable
global
maximum
po
wer
point
tracking
(GMPP).
Although
numerous
intelligent
optimization
techniques
e
x-
ist,
most
rely
on
e
xtensi
v
e
e
xploration
mechani
sms
that
limit
their
applicability
in
embedded
real-time
controllers.
This
paper
introduces
a
condence-dri
v
en
adapti
v
e
maximum
po
wer
point
tracking
(MPP
T)
frame
w
ork
in
which
the
opti-
mization
search
space
is
dynamically
re
gulated
according
to
the
reliability
of
a
predicti
v
e
operating-re
gion
estimator
.
Unlik
e
standard
articial
neural
netw
ork
(ANN)-assisted
M
PPT
strate
gies
that
of
fer
only
po
wer
prediction,
t
he
proposed
approach
e
xploits
a
condence
inde
x
to
continuously
contract
or
e
xpand
the
e
xploration
domain,
minimizing
search
ef
fort
while
preserving
global
tracking
capability
.
The
frame
w
ork
w
as
de
v
eloped
using
real
measurements
from
the
PV
-
D
A
Q
database
and
v
alidated
through
a
nonlinear
tw
o-diode
thermal-electrical
PV
model
incorporating
irradiance
mismatc
h
and
temperature-dependent
ef-
fects.
Static
and
dynamic
PSC
scenarios
were
in
v
estig
ated
to
e
v
aluate
con
v
er
-
gence
beha
vior
and
computational
performance.
Experimental
re
sults
demon-
strate
that
the
proposed
condence-go
v
erned
strate
gy
achie
v
es
an
a
v
erage
tracking
ef
cienc
y
of
90.89%,
reduces
con
v
er
gence
ef
fort
through
adapti
v
e
search-space
contraction,
and
matches
real
measurements
wit
h
an
R
2
v
alue
of
0.8664,
of
fering
a
lo
w-comple
xity
solution
for
real-time
embedded
PV
ener
gy
management.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
Sarah
Ka
wther
Sedjar
Laboratory
of
Automation
and
Systems
Analysis
(LAAS),
Department
of
Electrical
Engineering
National
Polytechnic
School
of
Oran
Maurice
Audin
(ENPO-MA)
Oran,
Algeria
Email:
sarah-ka
wther
.sedjar@doc.enp-oran.dz
1.
INTR
ODUCTION
Photo
v
oltaic
(PV)
ener
gy
systems
ha
v
e
become
one
of
the
most
promising
rene
w
able-ener
gy
tech-
nologies
for
sustainable
electricity
generation
and
distrib
uted
po
wer
-generation
applications
[1].
Ho
we
v
er
,
their
performance
strongly
depends
on
en
vironmental
operating
conditions,
particularly
solar
irradiance
and
temper
-
ature.
Among
the
v
arious
f
actors
af
fe
cting
PV
po
wer
production,
partial
shading
conditions
(PSC)
remain
one
of
the
most
challenging
issues
because
the
y
generate
highly
nonlinear
po
wer
–v
oltage
(P–V)
characteristics
J
ournal
homepage:
http://ijeecs.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
673
containing
multiple
local
maxima
[2].
Under
such
conditions,
reliable
global
maximum
po
wer
point
track-
ing
(GMPP)
be
comes
considerably
more
dif
cult,
and
con
v
entional
maximum
po
wer
point
tracking
(MPPT)
techniques
often
con
v
er
ge
to
w
ard
local
operating
points
rather
than
the
true
global
optimum
[3]-[5].
T
raditional
MPPT
methods
such
as
perturb
and
observ
e
(P&O)
and
incremental
conductance
(IC)
of
fer
lo
w
computational
comple
xity
and
simple
implementation.
Ne
v
ert
heless,
their
performance
signicantly
dete-
riorates
under
PSC
because
of
the
presence
of
multiple
po
wer
peaks
and
rapidly
changing
irradiance
conditions
[4],
[6],
[7].
T
o
o
v
ercome
these
limitations,
numerous
intelligent
optimization
approaches
ha
v
e
been
proposed,
including
particle
sw
arm
optimization
(PSO),
gre
y
w
olf
optimization
(GW
O),
dif
ferential
e
v
olution
(DE),
salp
sw
arm
algorithm
(SSA),
h
ybrid
metaheuristics,
reinforcement
learning
(RL),
and
deep
reinforcement
learning
(DRL)
[8]-[18].
These
techniques
generally
impro
v
e
global
search
capability
and
enhance
GMPP
localization
accurac
y
under
comple
x
operating
conditions.
More
broadly
,
intelligent
data-dri
v
en
techniques
ha
v
e
increas-
ingly
been
adopted
to
enhance
PV
monitoring,
predict
ion,
and
maximum
po
wer
point
tracking
under
comple
x
operating
conditions
[19].
Despite
their
ef
fecti
v
eness,
most
intelligent
MPPT
strate
gies
rely
on
e
xtens
i
v
e
e
xploration
of
the
PV
operating
domain.
Lar
ge
search
interv
als,
repeated
tness-function
e
v
aluations,
and
computationally
inten-
si
v
e
training
procedures
often
increase
con
v
er
gence
ef
fort
and
e
x
ecution
cost,
limiting
their
suitability
for
lightweight
embedded
PV
controllers
operating
under
rapidly
v
arying
en
vironmental
conditions.
Consequently
,
maintaining
reliable
GMPP
localization
while
reducing
unnecessary
e
xploration
remains
an
open
research
chal-
lenge.
Recent
studies
ha
v
e
also
emphasized
the
importance
of
lightweight
embedded
MPPT
architectures
and
lo
w-comple
xity
AI-assisted
control
strate
gies
capable
of
real-time
operation
under
dynamic
en
vironmental
conditions
[20],
[21].
T
o
address
this
limitation,
this
paper
proposes
a
condence-re
gulated
adapti
v
e
MPPT
frame
w
ork
that
dynamically
adjusts
the
e
xploration
interv
al
according
to
prediction
reliability
.
Unlik
e
con
v
entional
articial
neural
netw
ork
(ANN)-assisted
MPPT
approaches,
wh
e
re
prediction
is
primarily
used
to
estimate
the
operating
point,
the
proposed
frame
w
ork
e
xploits
a
condenc
e
indicator
to
directly
re
gulate
the
optimization
domain.
The
search
space
contracts
when
condence
is
high
and
e
xpands
when
uncert
ainty
increases,
concentrating
e
xploration
around
probable
high-po
wer
operating
re
gions
while
preserving
global-search
capability
under
PSC
conditions.
The
mai
n
contrib
utions
of
this
w
ork,
centered
on
the
concept
of
condence-re
gulated
sea
rch-space
contraction,
are
summarized
as
follo
ws:
−
A
condence-go
v
erned
search-space
contraction
mechanism
that
dynamically
re
gulates
the
optimization
domain
according
to
prediction
reliability
.
−
A
prediction-guided
adapti
v
e
optimization
frame
w
ork
that
reduces
redundant
e
xploration
while
preserving
GMPP
localization
capability
under
PSC
conditions.
−
Experimental
v
alidation
using
real
PVD
A
Q
measurements
and
a
nonlinear
thermal–electrical
PV
model
incorporating
irradiance
mismatch,
bypass-diode
acti
v
ation,
and
temperature-dependent
ef
fects.
−
Demonstration
of
lo
w-comple
xity
real-time
suitability
for
embedded
PV
ener
gy-management
applications.
Real
photo
v
oltaic
dataset.
The
proposed
condence-re
gulated
MPPT
frame
w
ork
w
as
de
v
eloped
and
v
alidated
using
real
PV
measurements
obtained
from
the
open
ener
gy
data
initiati
v
e
(OEDI)
PVD
A
Q
database.
The
selected
utility-scale
PV
installation
pro
vides
elect
rical
and
en
vironmental
operating
v
ariables,
including
PV
po
wer
,
v
oltage,
curre
n
t
,
and
temperature
measurements.
Prior
to
model
de
v
elopment,
normalization,
noise
ltering,
and
operating-condition
v
erication
were
applied
to
impro
v
e
data
consis
tenc
y
and
reliability
.
The
resulting
dataset
constitutes
a
realistic
benchmark
for
e
v
aluating
predicti
v
e
performance
and
MPPT
beha
vior
under
practical
outdoor
operating
condi
tions.
Figure
1
presents
the
measured
PV
po
wer
prole
e
xtracted
from
the
PVD
A
Q
database.
PV
system
v
alidation
model.
A
nonlinear
thermal–electrical
PV
model
w
as
e
mplo
yed
to
pro
vide
a
realistic
v
alidation
en
vironment
for
the
proposed
frame
w
ork.
Such
models
are
widely
used
for
reproducing
PV
beha
vior
and
parameter
-identication
studies
under
v
arying
operating
conditions
[22].
The
PV
array
w
as
partitioned
into
multiple
series-connected
submodules
subjected
to
nonuniform
irradiance
distrib
utions,
en-
abling
the
generation
of
representati
v
e
multi-peak
operating
conditions
for
e
v
aluating
the
ef
fecti
v
eness
of
the
proposed
condence-re
gulated
optimization
strate
gy
.
Condence-driven
adaptive
oper
ating-point
optimization
for
photo
voltaic
...
(Sar
ah
Kawther
Sedjar)
Evaluation Warning : The document was created with Spire.PDF for Python.
674
❒
ISSN:
2502-4752
Figure
1.
Measured
photo
v
oltaic
po
wer
prole
e
xtracted
from
the
PVD
A
Q
database
2.
V
ALID
A
TION
SCEN
ARIOS
UNDER
P
AR
TIAL
SHADING
CONDITIONS
The
ef
fecti
v
eness
of
the
proposed
condence-re
gulated
optimization
frame
w
ork
w
as
assessed
under
progressi
v
ely
increasing
le
v
els
of
PV
operating
uncertainty
.
The
objecti
v
e
w
as
not
only
to
e
v
aluate
GMPP
tracking
performance
under
PSC,
b
ut
also
to
in
v
estig
ate
the
ability
of
the
adapti
v
e
search-space
contraction
mechanism
to
preserv
e
reliable
decision-making
when
the
ambiguity
of
the
optimization
landscape
increases.
2.1.
Static
partial
shading
scenarios
Three
representati
v
e
operating
scenarios
were
designed
to
generate
distinct
le
v
els
of
irradiance
mis-
match,
multi-peak
comple
xity
,
and
GMPP
ambiguity
.
−
Case
1
—
Se
v
ere
irradiance
mismatch:
G
=
[1000
,
500
,
300
,
150
,
50]
W/m
2
.
−
Case
2
—
Progressi
v
e
irradiance
gradient:
G
=
[1000
,
800
,
600
,
400
,
200]
W/m
2
.
−
Case
3
—
High
multi-peak
ambiguity:
G
=
[1000
,
1000
,
200
,
200
,
50]
W/m
2
.
These
congurations
were
intentionally
selected
to
challenge
dif
ferent
aspects
of
the
opti
mization
process.
Case
1
introduces
substantial
po
wer
de
gradation
caused
by
strong
irradiance
mismatch.
Case
2
repre-
sents
a
smoother
b
ut
still
nonuniform
operating
en
vironment.
Case
3
constitutes
the
most
demanding
scenario,
producing
multiple
closely
spaced
local
maxima
that
increase
the
probability
of
incorrect
GMPP
identication
and
therefore
represent
a
critical
test
for
condence-guided
e
xploration
strate
gies.
From
an
optimization
perspecti
v
e,
these
scenarios
progressi
v
ely
increase
the
ambiguity
of
the
search
landscape,
making
them
particularly
suitable
for
e
v
aluating
the
ability
of
the
proposed
frame
w
ork
to
dynami-
cally
re
gulate
e
xploration
ef
fort
according
to
prediction
reliability
.
Figure
2
illustrates
the
limitations
of
a
con
v
entional
P&O
controller
under
se
v
ere
shading
conditions.
Owing
to
the
presence
of
multiple
local
optima,
the
algorithm
con
v
er
ges
to
w
ard
a
suboptimal
operating
point
rather
than
the
true
GMPP
.
2.2.
Dynamic
operating
conditions
Practical
PV
systems
operate
under
continuously
v
arying
irradi
ance
and
temperature
conditions,
re-
sulting
in
time-v
arying
GMPP
locations
and
e
v
olving
prediction
uncertainty
.
T
o
reproduce
these
realistic
op-
erating
conditions,
dynamic
irradiance
perturbations
were
applied
across
PV
submodules,
generating
continu-
ously
changing
multi-peak
po
wer
characteristics.
These
scenarios
pro
vide
a
demanding
v
alidation
en
vironment
for
the
proposed
condence-re
gulated
frame
w
ork,
requiring
continuous
adaptation
of
the
e
xploration
domain
according
to
operating
uncertainty
.
Con-
sequently
,
the
y
enable
assessment
of
tracking
rob
ustness,
con
v
er
gence
stability
,
computational
ef
ci
enc
y
,
and
real-time
adaptability
under
realistic
PV
conditions.
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
2,
August
2026:
672–682
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
675
Figure
2.
F
ailure
of
con
v
entional
local-search
MPPT
under
multi-peak
PSC
conditions
3.
AD
APTIVE
CONFIDENCE-REGULA
TED
OPTIMIZA
TION
FRAMEW
ORK
The
proposed
methodology
is
founded
on
the
principle
that
optimization
ef
fort
should
be
pr
o
port
ional
to
operating
u
nc
ertainty
.
Con
v
entional
MPPT
algorithms
typically
emplo
y
x
ed
e
xploration
strate
gies
re
g
ard-
less
of
the
reliability
of
a
v
ailable
information.
Consequently
,
considerable
computational
resources
may
be
spent
e
xploring
operating
re
gions
with
a
lo
w
probability
of
containing
the
GMPP
.
T
o
address
this
limitation,
the
proposed
frame
w
ork
introduces
a
condence-re
gulated
searc
h
-
space
contraction
mechanism
that
dynamically
adapts
the
optimization
domain
according
to
prediction
reliability
.
The
resulting
strate
gy
combines
predicti
v
e
operating-r
e
gi
on
estimation,
condence
quantication,
and
adapti
v
e
PSO
e
xploration
within
a
unied
decision
frame
w
ork.
3.1.
Pr
edicti
v
e
operating-r
egion
estimation
A
lightweight
data-dri
v
en
predictor
w
as
emplo
yed
to
estimate
the
probable
location
of
high-po
wer
operating
re
gions
from
real-time
PV
measurements.
The
predicti
v
e
model
recei
v
es
electrical
and
en
vironmental
operating
v
ariables
e
xtracted
from
the
PV
system
and
generat
es
an
estimate
of
the
most
probable
high-po
wer
operating
re
gion.
By
supplying
an
informed
initialization
of
the
search
process,
the
predicti
v
e
stage
reduces
the
need
for
e
xhausti
v
e
e
xploration
while
preserving
adaptability
under
irradiance
mismatch
and
PSC.
As
illustrated
in
Figure
3,
the
predicti
v
e
model
demonstrates
satisf
actory
agreement
between
m
easured
and
estimated
PV
po
wer
,
yielding
an
R
2
v
alue
of
0.8664.
Although
prediction
accurac
y
is
not
the
primary
objecti
v
e
of
the
proposed
frame
w
ork,
the
obtained
estimati
on
pro
vides
suf
ciently
reliable
prior
information
for
adapti
v
e
e
xploration
re
gulation.
3.2.
Condence-r
egulated
sear
ch-space
contraction
The
central
contrib
ution
of
this
w
ork
is
the
introduction
of
a
condence
inde
x
that
establishes
a
direct
coupling
between
prediction
reliability
and
optimization
beha
vior
.
Instead
of
maintaining
a
x
ed
e
xploration
strate
gy
,
the
proposed
frame
w
ork
dynamically
re
gulates
the
accessible
search
domain
according
to
the
esti-
mated
certainty
of
the
predicti
v
e
stage.
The
condence
inde
x
is
dened
as:
C
I
=
1
−
|
P
pr
ed
−
P
measur
ed
|
P
max
(1)
where
P
pr
ed
denotes
the
predicted
PV
po
wer
,
P
measur
ed
represents
the
measured
oper
ating
po
wer
,
and
P
max
corresponds
to
the
maximum
po
wer
observ
ed
within
the
e
xperimental
dataset.
The
condence
inde
x
acts
as
a
lightweight
normalized
uncertainty
indicator
that
directly
links
predi
c-
tion
reliability
to
e
xploration
intensity
while
preserving
lo
w
computational
comple
xity
for
embedded
MPPT
Condence-driven
adaptive
oper
ating-point
optimization
for
photo
voltaic
...
(Sar
ah
Kawther
Sedjar)
Evaluation Warning : The document was created with Spire.PDF for Python.
676
❒
ISSN:
2502-4752
applications.
High
condence
v
alues
indicate
that
the
predicted
operating
re
gion
is
lik
ely
to
contain
the
GMPP
,
enabling
aggressi
v
e
search-space
contraction
and
reduced
computational
ef
fort.
Con
v
ersely
,
lo
wer
condence
v
alues
automatically
e
xpand
the
e
xploration
domain
to
preserv
e
global-search
capability
and
a
v
oid
premature
con
v
er
gence
to
w
ard
local
optima
[23].
Figure
3.
Generalization
performance
of
the
predicti
v
e
operating-re
gion
estimator
under
unseen
operating
conditions
3.3.
Adapti
v
e
optimization
strategy
Based
on
the
condence
inde
x,
the
optimization
process
dynamically
re
gulates
the
accessible
search
interv
al
around
the
predicted
operating
re
gion.
The
adapti
v
e
search
range
is
e
xpressed
as:
S
ear
chR
ang
e
=
(0
.
05
+
0
.
45(1
−
C
I
))(
V
max
−
V
min
)
(
2
)
This
formulation
establishes
a
direct
relationship
between
operating
uncertainty
and
e
xploration
in-
tensity
.
When
condence
is
high,
the
search
domain
contracts
around
the
predicted
GMPP
re
gion,
thereby
reducing
redundant
particle
mo
v
ements
and
unnecessary
tness
e
v
aluations.
Under
uncertain
operating
condi-
tions,
the
search
interv
al
automatically
e
xpands
to
maintain
suf
cient
global
e
xploration
capability
.
Figure
4
illustrates
ho
w
the
proposed
frame
w
ork
continuously
adjusts
e
xploration
ef
fort
according
to
prediction
reliability
.
This
adapti
v
e
beha
vior
enables
ef
cient
allocation
of
computational
resources
while
preserving
rob
ust
GMPP
localization
capability
.
Figure
4.
Adapti
v
e
search-space
contraction
as
a
function
of
the
condence
inde
x
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
2,
August
2026:
672–682
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
677
The
o
v
erall
operating
principle
of
t
he
proposed
frame
w
ork
is
summarized
in
Figure
5.
Real-time
PV
measurements
are
rst
processed
by
the
predicti
v
e
estimator
to
identify
probable
high-po
wer
operating
re
gions.
The
condence
inde
x
is
subse
qu
e
ntly
computed
and
used
to
re
gulate
the
e
xploration
domain
before
the
adapti
v
e
PSO
stage
performs
nal
GMP
P
localization.
This
sequential
decision
process
enables
the
optimization
ef
fort
to
be
continuously
adjusted
according
to
the
actual
le
v
el
of
operating
uncertainty
.
Figure
5.
Architecture
of
the
proposed
condence-re
gulated
adapti
v
e
MPPT
frame
w
ork
4.
RESUL
TS
AND
DISCUSSION
This
section
e
v
aluates
the
proposed
condence-re
gulated
optimi
zation
frame
w
ork
under
static
and
dynamic
PSC.
P
articular
attention
is
de
v
oted
to
assessing
the
ef
fecti
v
eness
of
the
condence-guided
search-
space
contraction
mechanism
in
terms
of
tracking
accurac
y
,
con
v
er
gence
beha
vior
,
computat
ional
ef
cienc
y
,
and
rob
ustness
under
operating
uncertainty
.
4.1.
Pr
edicti
v
e
operating-r
egion
estimation
perf
ormance
The
predicti
v
e
operating-re
gion
estimator
achie
v
ed
an
RMSE
of
3268.48
W
,
a
prediction
error
of
19.23%,
and
an
R
2
v
alue
of
0.8664
between
predicted
and
measured
PV
po
wer
.
Although
the
predicti
v
e
model
e
xhibits
a
prediction
error
of
19.23%,
its
role
within
the
proposed
frame
w
ork
is
fundamental
ly
dif
ferent
from
that
of
a
con
v
entional
PV
po
wer
forecasting
model.
The
predic-
tor
is
intentionally
emplo
yed
as
a
coarse
operating-re
gion
estimator
whose
objecti
v
e
is
to
identify
probable
high-po
wer
re
gions
rather
than
accurately
est
imate
the
e
xact
po
wer
output.
The
obtained
R
2
v
alue
of
0.8664
indicates
that
the
model
successfully
captures
the
dominant
trends
go
v
erning
PV
po
wer
e
v
olution
under
v
arying
en
vironmental
conditions.
This
i
nformation
is
subsequently
processed
by
the
condence-re
gulated
mechanism,
which
dynamically
adjusts
the
e
xploration
domain
according
to
prediction
reliability
.
Consequently
,
the
o
v
erall
tracking
performance
does
not
depend
solely
on
ANN
prediction
accurac
y
.
Instead,
the
condence-guided
adaptation
compensates
for
residual
prediction
uncertainty
and
enables
ef
cient
GMPP
localization.
This
beha
vior
is
conrmed
by
the
achie
v
ed
tracking
ef
cienc
y
of
90.89%,
which
remains
signicantly
higher
than
the
predicti
v
e
accurac
y
itself.
Figure
6
presents
the
comparison
between
the
measured
photo
v
oltaic
po
wer
and
the
po
wer
predicted
by
the
proposed
h
ybrid
ANN-PSO
model
under
v
arying
outdoor
operating
conditions.
4.2.
Static
operating-point
con
v
er
gence
perf
ormance
The
proposed
frame
w
ork
achie
v
ed
the
lo
west
mean
tracking
error
(7.74%)
and
the
highest
tracking
ef
cienc
y
(90.89%)
among
the
e
v
aluated
MPPT
strate
gies.
Furthermore,
the
maximum
tracking
error
w
as
reduced
to
18.99%,
indicating
impro
v
ed
rob
ustness
under
irradiance
mismatch
and
temperature
v
ariations.
Condence-driven
adaptive
oper
ating-point
optimization
for
photo
voltaic
...
(Sar
ah
Kawther
Sedjar)
Evaluation Warning : The document was created with Spire.PDF for Python.
678
❒
ISSN:
2502-4752
The
observ
ed
impro
v
ement
is
not
solely
attrib
utable
to
the
predicti
v
e
stage
itself.
Rather
,
it
res
ults
from
the
ability
of
the
condence-re
gulated
mechanism
to
dynamically
allocate
e
xploration
ef
fort
according
to
operating
uncertainty
.
By
concentrating
the
search
process
around
condence-supported
operating
re
gions,
the
frame
w
ork
reduces
the
lik
el
ihood
of
con
v
er
gence
to
w
ard
misleading
local
maxima
while
preserving
suf
cient
global-search
capability
.
4.3.
Dynamic
tracking
perf
ormance
Figure
7
illustrates
the
dynamic
beha
vior
of
the
proposed
frame
w
ork
under
rapi
dly
v
arying
PSC
con-
ditions.
As
illustrated
in
Figure
7,
the
proposed
frame
w
ork
maintains
stable
con
v
er
gence
despite
continuous
displacement
of
the
GMPP
caused
by
irradiance
uctuations.
Specically
,
Figures
7(a)–(d)
respecti
v
ely
present
the
dynamic
con
v
er
gence
response,
oscillation
analysis,
tracking
stability
under
PSC,
and
adapti
v
e
con
v
er
gence
beha
vior
of
the
proposed
frame
w
ork.
The
adapti
v
e
search-space
re
gulation
mechanism
limits
unnecessary
os-
cillatory
beha
vior
while
preserving
responsi
v
eness
to
rapidly
changing
operating
conditions.
The
results
further
demonstrate
that
condence-guided
e
xploration
enables
a
more
ef
fecti
v
e
balance
between
local
e
xploitation
and
global
e
xploration.
Consequently
,
the
proposed
frame
w
ork
achie
v
es
impro
v
ed
con
v
er
gence
stability
while
maintaining
rob
ust
tracking
performance
under
highly
dynamic
operating
en
viron-
ments.
4.4.
Computational
efciency
analysis
A
computational
analysis
w
as
conducted
to
e
v
aluate
the
suitability
of
the
proposed
frame
w
ork
for
real-time
PV
control
applications.
T
able
1
summarizes
the
obtained
computational
performance.
T
able
1.
Computational
performance
comparison
of
MPPT
strate
gies
under
PSC
conditions
Method
Cate
gory
Ef
cienc
y
(%)
Con
v
.
Steps
Ex
ec.
T
ime(s)
Oscillation
Std.
(%)
GMPP
Accurac
y
(%)
Mean
Error
(%)
R
T
Suitability
P&O
Classical
73.55
120
0.0078
High
73.87
26.13
High
Con
v
entional
PSO
Metaheuristic
87.57
56
0.0003
17.45
91.70
8.30
Moderate
Proposed
Frame
w
ork
Condence-Guided
90.89
41
0.0005
15.16
92.26
7.74
High
Compared
with
con
v
entional
perturbation-based
tracking,
the
proposed
frame
w
ork
reduced
the
a
v-
erage
con
v
er
gence
requirement
from
120
to
41
steps
while
simultaneously
impro
ving
GMPP
accurac
y
and
reducing
oscillatory
beha
vior
.
Unlik
e
con
v
entional
optimization
approaches
that
emplo
y
x
ed
e
xploration
domains,
the
proposed
strate
gy
dynamically
re
gulates
the
ef
fecti
v
e
search
re
gion
according
to
prediction
reliability
.
Consequently
,
computational
resources
are
concentrated
on
operating
re
gions
with
a
higher
probability
of
containing
the
GMPP
,
reducing
redundant
particle
updates
and
unnecessary
tness
e
v
aluations.
The
measured
e
x
ecution
times
remained
within
the
millisecond
range
under
identical
simulation
con-
ditions
and
s
w
arm
settings
for
all
compared
methods,
indicating
the
suitability
of
the
proposed
frame
w
ork
for
real-time
embedded
PV
control
applications.
4.5.
Ablation
study
of
the
pr
oposed
framew
ork
An
ablation
study
w
as
conducted
to
quantify
the
indi
vidual
contrib
ution
of
predicti
v
e
estimation
and
condence-re
gulated
search-space
adaptation.
The
ablati
on
results
conrm
that
the
observ
ed
performance
g
ains
originate
from
the
interaction
between
predicti
v
e
estimation
and
condence-re
gulated
search-space
adaptation.
The
full
frame
w
ork
achie
v
es
the
best
compromise
between
tracking
accurac
y
,
con
v
er
gence
s
peed,
rob
ustness,
and
computational
ef
cienc
y
.
The
detailed
quantitati
v
e
comparison
of
the
e
v
aluated
congurations
is
presented
in
T
able
2.
T
able
2.
Ablation
study
of
the
proposed
adapti
v
e
MPPT
frame
w
ork
Conguration
Ef
cienc
y
(%)
T
racking
stability
Con
v
er
gence
speed
PSO
only
82.39
Moderate
Moderate
ANN
only
80.77
Lo
w
F
ast
ANN
+
PSO
87.45
Good
Good
ANN
+
Adapti
v
e
search
89.02
Better
F
aster
Proposed
full
frame
w
ork
90.89
High
F
ast
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
2,
August
2026:
672–682
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
679
Figure
6.
Comparison
between
measured
and
simulated
photo
v
oltaic
po
wer
under
v
arying
outdoor
conditions
(a)
(b)
(c)
(d)
Figure
7.
Dynamic
con
v
er
gence
and
oscillation
beha
vior
under
PSC
conditions;
(a)
dynamic
con
v
er
gence
response,
(b)
oscillation
analysis,
(c)
tracking
stability
under
PSC,
and
(d)
adapti
v
e
con
v
er
gence
beha
vior
Condence-driven
adaptive
oper
ating-point
optimization
for
photo
voltaic
...
(Sar
ah
Kawther
Sedjar)
Evaluation Warning : The document was created with Spire.PDF for Python.
680
❒
ISSN:
2502-4752
5.
POSITIONING
RELA
TIVE
T
O
EXISTING
MPPT
APPR
O
A
CHES
T
able
3
compares
the
proposed
frame
w
ork
with
recent
MPPT
strate
gies
reported
in
the
l
iterature.
Recent
representati
v
e
approaches
include
DRL-based
MPPT
strate
gies,
adapti
v
e
metaheuristics,
and
h
ybrid
optimization
frame
w
orks
designed
for
PSC
en
vironments
[15]-[18],
[24].
Unlik
e
accurac
y-oriented
MPPT
approaches
that
rely
on
e
xtensi
v
e
e
xploration
or
computationally
in-
tensi
v
e
learning
procedures,
the
pr
o
pos
ed
frame
w
ork
focuses
on
condence-re
gulated
e
xploration.
This
design
prioritizes
computational
ef
cienc
y
,
adapti
v
e
decision-making,
and
embedded
implementation
feas
ibility
while
maintaining
competiti
v
e
GMPP
tracking
performance
under
PSC
conditions.
Be
yond
the
comparati
v
e
performance
discussed
abo
v
e,
the
proposed
condence-re
gulated
op
t
imiza-
tion
frame
w
ork
also
pro
vides
a
promising
foundation
for
future
embedded
photo
v
oltaic
ener
gy-management
systems.
In
particular
,
e
xtending
the
proposed
condence-guided
optimization
strate
gy
to
w
ard
adv
anced
real-
time
PV
ener
gy-management
architectures
represents
an
important
research
direction,
as
highlighted
in
recent
studies
on
intelligent
photo
v
oltaic
ener
gy
management
[25].
T
able
3.
Comparati
v
e
positioning
of
recent
MPPT
strate
gies
under
PSC
conditions
Method
Exploration
strate
gy
Computational
cost
T
raining
b
urden
Adapti
vity
Embedded
suitability
Main
limitation
P&O
Local
search
V
ery
lo
w
None
Lo
w
High
Local
optimum
trapping
Con
v
entional
PSO
Global
e
xploration
Moderate
None
Moderate
Good
Lar
ge
search
domain
GW
O-PSO
h
ybrid
Hybrid
e
xploration
Moderate–High
None
High
Moderate
Incre
ased
comple
xity
NGW
O-Based
MPPT
Adapti
v
e
e
xploration
Moderate
None
High
Moderate
P
arameter
tuning
sensiti
vity
ISSA-P&O
Hybrid
Metaheuristic-guided
High
None
High
Moderate
Hi
gh
computational
b
urden
DRL-based
MPPT
Polic
y
learning
V
ery
high
High
V
ery
high
Limited
T
raining
comple
xity
DQN/DDPG-based
MPPT
Deep
reinforcement
learning
V
ery
high
V
ery
high
V
ery
high
Limited
Lar
ge
data
requirement
Adapti
v
e
GW
O/PSO/PO
A
Adapti
v
e
metaheuristic
Moderate–High
None
High
Moderate
Exploration
o
v
erhead
Pr
oposed
framew
ork
Condence-
r
egulated
exploration
Lo
w–Moderate
Lo
w
Adapti
v
e
High
Pr
ediction-
dependent
6.
CONCLUSION
This
paper
introduced
a
condence-re
gulated
search-space
contraction
frame
w
ork
for
adapti
v
e
MPPT
in
PV
systems
under
PSC.
Unlik
e
con
v
entional
intelligent
MPPT
approaches
that
emplo
y
x
ed
e
xploration
strate
gies,
the
proposed
methodology
dynamically
adjusts
the
optimization
domain
according
to
prediction
reliability
through
a
condence-guided
search-space
contraction
mechanism.
The
obtained
results
demonstrate
that
linking
e
xploration
ef
fort
to
operating
uncertainty
enables
more
ef
cient
allocation
of
computational
resources
while
preserving
rob
ust
GMPP
localization
capability
.
Experi-
mental
e
v
aluation
under
static
and
dynamic
PSC
scenarios
sho
wed
impro
v
ed
tracking
stability
,
reduced
con
v
er
-
gence
ef
fort,
and
an
a
v
erage
tracking
ef
cienc
y
of
90.89%.
Furthermore,
v
alidation
ag
ainst
real
PVD
A
Q
mea-
surements
yielded
an
R
2
v
alue
of
0.8664.
Although
the
predi
cti
v
e
stage
w
as
not
intended
to
pro
vide
highly
ac-
curate
po
wer
forecasting,
it
successfully
supplied
reliable
operating-re
gion
information
for
condence-guided
e
xploration
control.
The
obtained
results
demonstrate
that
coupling
a
coarse
predictor
with
adapti
v
e
condence-
re
gulated
optimization
can
achie
v
e
rob
ust
GMPP
localization
while
maintaining
lo
w
computational
comple
xity
.
The
proposed
condence-re
gulated
search-space
contraction
strate
gy
establishes
a
direct
connection
between
predicti
v
e
information
and
optimization
beha
vior
,
allo
wing
e
xploration
intensity
to
adapt
continu-
ously
to
changing
operating
conditions.
This
characteristic
mak
es
the
frame
w
ork
particularly
attracti
v
e
for
lightweight
embedded
PV
controllers
where
computational
ef
cienc
y
and
real-time
responsi
v
eness
are
critical
design
requirements.
Future
w
ork
will
focus
on
hardw
are
implementation,
e
xperimental
real-time
v
alidation,
and
e
v
aluation
of
the
proposed
frame
w
ork
under
more
di
v
erse
real-w
orld
photo
v
oltaic
operating
conditions.
Indonesian
J
Elec
Eng
&
Comp
Sci,
V
ol.
43,
No.
2,
August
2026:
672–682
Evaluation Warning : The document was created with Spire.PDF for Python.
Indonesian
J
Elec
Eng
&
Comp
Sci
ISSN:
2502-4752
❒
681
FUNDING
INFORMA
TION
The
authors
state
that
no
specic
funding
w
as
recei
v
ed
for
this
w
ork.
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
Sarah
Ka
wther
Sedjar
✓
✓
✓
✓
✓
✓
✓
Mourad
Benmessaoud
✓
✓
✓
✓
✓
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
CONFLICT
OF
INTEREST
ST
A
TEMENT
Authors
state
no
conict
of
interest.
D
A
T
A
A
V
AILABILITY
The
e
xperimental
photo
v
oltaic
measurements
used
in
this
study
were
obtained
from
the
Open
Ener
gy
Data
Initiati
v
e
(OEDI)
PVD
A
Q
database.
Additional
processed
data
and
simulation
results
supporting
the
ndings
of
this
w
ork
are
a
v
ailable
from
the
corresponding
author
upon
reasonable
request.
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Condence-driven
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photo
voltaic
...
(Sar
ah
Kawther
Sedjar)
Evaluation Warning : The document was created with Spire.PDF for Python.