Journal of Mathematics,
Journal Year:
2025,
Volume and Issue:
2025(1)
Published: Jan. 1, 2025
Gradient‐Based
Optimizer
(GBO)
is
a
highly
mathematics‐based
metaheuristic
algorithm
that
has
garnered
significant
attention
since
its
introduction.
It
offers
several
inherent
advantages,
such
as
low
computational
complexity,
rapid
convergence,
and
easy
implementation.
However,
GBO
some
drawbacks,
including
lack
of
population
diversity
tendency
to
get
trapped
in
local
optima.
To
address
these
shortcomings,
this
research
introduces
an
improved
version
(iGBO).
In
iGBO,
introducing
the
Sobol
sequence
strategy
ensures
higher‐quality
initial
enhances
convergence
speed.
Additionally,
new
modified
Local
Escaping
Operator
(LEO)
proposed,
which
incorporates
sine‐cosine
operator
DCS/Xbest/Current‐to‐2rand
strategy.
This
LEO
improves
optimization
efficiency
boosts
search
capability,
helping
avoid
The
superiority
iGBO
thoroughly
verified
through
comparisons
with
original
well‐known
newly
developed
algorithms
on
IEEE
CEC’2022
benchmark
suite.
Furthermore,
proposed
approach
applied
extract
photovoltaic
system’s
global
maximum
power
point
(MPP)
under
shading
conditions.
Three
different
patterns
are
considered
assess
reliability
iGBO.
performance
compared
leading
algorithms,
Particle
Swarm
Optimization
(PSO),
Reptile
Search
Algorithm
(RSA),
Black
Widow
(BWOA),
Pelican
OA
(POA),
Chimp
(ChOA),
Osprey
(OOA),
GBO.
results
reveal
iGBO‐based
MPPT
consistently
outperforms
competitors
identifying
MPP
various
conditions
followed
by
PSO,
while
RSA
performs
least
effectively.
Scientific Reports,
Journal Year:
2025,
Volume and Issue:
15(1)
Published: Feb. 24, 2025
Practical
engineering
optimization
problems
are
characterized
by
high
dimensionality,
non-convexity,
and
non-linearity,
the
use
of
optimizers
to
provide
better
quality
solutions
target
problem
in
an
acceptable
time
is
a
hot
research
topic
field
optimal
design.
In
this
paper,
inspired
Sturnus
vulgaris
escape
behavior,
Vulgaris
Escape
Algorithm
(SVEA)
proposed
high-performance
optimizer
for
complex
problems.
The
algorithm
composed
exploration
exploitation
strategies,
controlled
fixed
parameters.
strategies
include
High-Altitude
Strategy
Wave
1,
while
consist
Cordon
Line
2.
enhances
capabilities
reorganizing
subgroups,
preventing
leader
individuals
from
overlapping,
avoiding
collisions
between
individuals.
conducts
refined
searches
around
high-value
regions,
further
improving
precision.
Strategies
1
2
help
population
local
optima
prevent
over-spreading.
performance
SVEA
evaluated
through
employment
23
benchmark
test
functions
CEC2017
set,
with
subsequent
comparison
undertaken
nine
statE
−
of-thE
art
meta-heuristic
algorithms.
outcomes
evaluation
demonstrate
that
attains
top
ranking
identified
as
best-performing
across
all
sets.
A
statistical
analysis
reveals
solution
set
exhibits
superior
other
algorithms,
discrepancy
being
deemed
be
statistically
significant.
Finally,
applied
five
real-world
problems,
providing
satisfying
constraints.
Sustainability,
Journal Year:
2025,
Volume and Issue:
17(6), P. 2454 - 2454
Published: March 11, 2025
Wind
energy
is
essential
for
promoting
sustainability
and
renewable
power
solutions.
However,
ensuring
stability
consistent
performance
in
DFIG-based
wind
turbine
systems
(WTSs)
remains
challenging
due
to
rapid
speed
variations,
grid
disturbances,
parameter
uncertainties.
These
fluctuations
result
instability,
increased
overshoot,
prolonged
settling
times,
negatively
impacting
compliance
system
efficiency.
Conventional
proportional-integral
(PI)
controllers
are
simple
effective
steady-state
conditions,
but
they
lack
adaptability
dynamic
situations.
Similarly,
artificial
intelligence
(AI)-based
controllers,
such
as
fuzzy
logic
(FLCs)
neural
networks
(ANNs),
improve
suffer
from
high
computational
demands
training
complexity.
To
address
these
limitations,
this
paper
presents
a
hybrid
adaptive
neuro-fuzzy
inference
(ANFIS)-PI
controller
WTS.
The
proposed
integrates
with
network-based
learning,
allowing
real-time
optimization
of
control
parameters.
Implemented
within
the
rotor-side
converter
(RSC)
grid-side
(GSC),
ANFIS
enhances
reactive
management,
compliance,
overall
stability.
was
tested
under
step
signal
varying
10
m/s
12
evaluate
its
robustness.
simulation
results
confirmed
that
ANFIS-PI
significantly
improved
compared
conventional
PI
controller.
Specifically,
it
reduced
rotor
overshoot
by
3%,
torque
12.5%,
active
2%,
DC
link
voltage
20%.
Additionally,
shortened
time
50%
speed,
25%
torque,
33%
power,
16.7%
voltage,
faster
stabilization,
enhanced
response,
greater
improvements
establish
an
advanced,
computationally
efficient,
scalable
solution
enhancing
reliability
WTS,
facilitating
seamless
integration
into
modern
grids.
Journal of Mathematics,
Journal Year:
2025,
Volume and Issue:
2025(1)
Published: Jan. 1, 2025
Gradient‐Based
Optimizer
(GBO)
is
a
highly
mathematics‐based
metaheuristic
algorithm
that
has
garnered
significant
attention
since
its
introduction.
It
offers
several
inherent
advantages,
such
as
low
computational
complexity,
rapid
convergence,
and
easy
implementation.
However,
GBO
some
drawbacks,
including
lack
of
population
diversity
tendency
to
get
trapped
in
local
optima.
To
address
these
shortcomings,
this
research
introduces
an
improved
version
(iGBO).
In
iGBO,
introducing
the
Sobol
sequence
strategy
ensures
higher‐quality
initial
enhances
convergence
speed.
Additionally,
new
modified
Local
Escaping
Operator
(LEO)
proposed,
which
incorporates
sine‐cosine
operator
DCS/Xbest/Current‐to‐2rand
strategy.
This
LEO
improves
optimization
efficiency
boosts
search
capability,
helping
avoid
The
superiority
iGBO
thoroughly
verified
through
comparisons
with
original
well‐known
newly
developed
algorithms
on
IEEE
CEC’2022
benchmark
suite.
Furthermore,
proposed
approach
applied
extract
photovoltaic
system’s
global
maximum
power
point
(MPP)
under
shading
conditions.
Three
different
patterns
are
considered
assess
reliability
iGBO.
performance
compared
leading
algorithms,
Particle
Swarm
Optimization
(PSO),
Reptile
Search
Algorithm
(RSA),
Black
Widow
(BWOA),
Pelican
OA
(POA),
Chimp
(ChOA),
Osprey
(OOA),
GBO.
results
reveal
iGBO‐based
MPPT
consistently
outperforms
competitors
identifying
MPP
various
conditions
followed
by
PSO,
while
RSA
performs
least
effectively.