Inter
national
J
our
nal
of
A
pplied
P
o
wer
Engineering
(IJ
APE)
V
ol.
15,
No.
1,
March
2026,
pp.
69
∼
79
ISSN:
2252-8792,
DOI:
10.11591/ijape.v15.i1.pp69-79
❒
69
Enhancing
electr
olyzer
perf
ormance
f
or
h
ydr
ogen
pr
oduction
in
a
solar
system
using
a
b
uck
con
v
erter
with
sliding
mode
contr
ol
Abdellah
El
Idrissi
1
,
Belkasem
Imodane
1
,
M’hand
Oubella
1
,
Hatim
Ameziane
2
,
Mohamed
Benydir
1
,
Kaoutar
Dahmane
1
,
Driss
Belkhiri
1
,
Mohamed
Ajaamoum
1
1
Laboratory
of
Engineering
Sciences
and
Ener
gy
Management
(LASIME),
National
School
of
Applied
Sciences,
Ibn
Zohr
Uni
v
ersity
,
Ag
adir
,
Morocco
2
Laboratory
of
Science
and
T
echnology
for
the
Engineer
(LaSTI),
Electrical
Engineering
Department,
National
School
of
Applied
Sciences
(ENSA),
Sultan
Moulay
Slimane
Uni
v
ersity
,
Khouribg
a,
Morocco
Article
Inf
o
Article
history:
Recei
v
ed
Jan
12,
2025
Re
vised
Aug
26,
2025
Accepted
Oct
16,
2025
K
eyw
ords:
DC-DC
con
v
erter
Electrolyzer
Hydrogen
production
Rene
w
able
ener
gy
Sliding
mode
control
ABSTRA
CT
As
the
w
orld
increasingly
turns
to
rene
w
able
ener
gy
,
green
h
ydroge
n
produced
through
w
ater
electrolysis
has
emer
ged
as
a
cl
ean
and
promising
alternati
v
e
to
fossil
fuels.
In
this
w
ork,
we
e
xplore
a
solar
-po
wered
h
ydrogen
production
system
that
uses
real
data
from
an
operational
photo
v
oltaic
(PV)
installation,
ensuring
accurate
and
realistic
modeling
of
en
vironmental
conditions.
A
DC-DC
b
uck
con
v
erter
is
used
to
re
gulate
the
uctuating
PV
output,
supplying
the
precise
v
oltage
needed
by
a
PEM
electrolyzer
.
Sli
ding
mode
control
(SMC)
strate
gy
is
applied
to
maintain
v
oltage
stability
,
and
its
performance
is
compared
with
a
tradit
ional
proportional-inte
gral
(PI)
controller
.
Simulations
in
MA
TLAB/Simulink
demonstrate
that
SMC
of
fers
better
dynamic
performance,
including
minimal
o
v
ershoot,
f
aster
response,
and
an
impressi
v
e
h
ydrogen
production
rate
of
0.98
L/min
(98%
ef
cienc
y).
By
pro
viding
more
consistent
v
oltage
to
the
electrolyzer
,
SMC
signicantly
boosts
o
v
erall
system
performa
nce.
These
ndings
underline
the
potential
of
adv
anced
control
strate
gies,
support
ed
by
real-w
orld
data,
to
mak
e
rene
w
able
h
ydrogen
production
more
reliable
and
ef
cient.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
Abdellah
El
Idrissi
Laboratory
of
Engineering
Sciences
and
Ener
gy
Management
(LASIME)
National
School
of
Applied
Sciences,
Ibn
Zohr
Uni
v
ersity
Ag
adir
80000,
Morocco
Email:
abdellah.elidrissi@edu.uiz.ac.ma
1.
INTR
ODUCTION
The
accelerat
ing
depletion
of
fossil
fuels,
coupled
with
the
ur
gent
need
to
mitig
ate
climate
change,
has
intensied
the
global
transition
to
w
ard
cleaner
and
more
sustainable
ener
gy
systems.
Among
the
emer
ging
solutions,
green
h
ydrogen
that
produced
through
electrolysis
po
wered
by
rene
w
able
ener
gy
sources
such
as
solar
or
wind,
has
g
ained
prominence
for
its
potential
to
decarbonize
se
v
eral
sectors
including
industry
,
transportation,
and
po
wer
generation
[1].
Morocco
is
well
positioned
to
become
a
re
gional
and
global
hub
for
green
h
ydrogen
production
thanks
t
o
its
ab
undant
sunshine,
rene
w
able
ener
gy
resources,
and
strate
gic
proximity
to
major
e
xport
mark
ets.
This
potential
is
reinforced
by
the
country’
s
ambitious
strate
gy
,
which
includes
lar
ge-scale
in
v
estments
in
h
ydrogen
and
its
deri
v
ati
v
es,
such
as
ammonia
and
methanol,
thereby
J
ournal
homepage:
http://ijape
.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
70
❒
ISSN:
2252-8792
consolidating
its
role
in
the
global
ener
gy
transition.
In
the
broader
conte
xt
of
carbon
neutrality
goals,
green
h
ydrogen
emer
ges
as
an
essential
ener
gy
carrier
,
of
fering
a
path
to
decarbonization
in
hard-to-abate
sectors
while
supporting
the
global
transition
to
sustainable
ener
gy
systems
[2].
The
electrolysis
process
in
v
olv
es
spl
itting
w
ater
molecules
into
h
ydrogen
and
oxygen
using
electr
icity
from
distrib
uted
ener
gy
sources
(DES)
lik
e
photo
v
oltaic
(PV)
or
wind
system
[3].
When
po
wered
by
rene
w
ables,
this
process
emits
no
carbon
dioxide,
making
green
h
ydrogen
a
truly
clean
ener
gy
carrier
[4].
Current
research
focuses
on
impro
ving
electrolysis
ef
cienc
y
while
optimizing
the
inte
gration
of
DES
with
electrolyzer
systems
to
ensure
economic
viability
and
operational
stability
[5].
Among
the
dif
ferent
types
of
electrolyzers,
proton
e
xchange
membrane
(PEM)
electrolyzers
stand
out
due
to
their
f
ast
response,
compactness,
and
compatibility
with
v
ariable
inputs.
Ho
we
v
er
,
coupling
PEM
systems
with
intermittent
ener
gy
sources
such
as
solar
and
wind
remains
technically
challenging,
primarily
due
to
uctuating
v
oltage
and
current
le
v
els
[6],
[7].
Photo
v
oltaic-po
wered
PEM
systems
represent
a
promising
conguration,
b
ut
the
v
ariable
nature
of
solar
irradiance—af
fected
by
f
actors
lik
e
cloud
co
v
er
,
tim
e
of
day
,
and
temperature—introduces
issues
that
impact
h
ydrogen
production
rates
and
electrolyzer
durability
[8],
[9].
T
o
address
this,
adv
anced
control
strate
gies
are
necessary
to
maintain
v
oltage
stability
,
reduce
ener
gy
losses,
and
ensure
continuous
h
ydrogen
generation
under
changing
en
vironmental
conditions
[10].
Gi
v
en
the
PEM
electrolyzer’
s
requirement
for
lo
w
v
oltage
and
high
current,
inte
grating
a
DC-DC
b
uck
con
v
erter
becomes
essential
to
adapt
the
PV
output
to
the
required
input
l
e
v
el
s
[11],
[12].
The
performance
of
this
po
wer
conditioning
stage
strongly
depends
on
the
ef
fecti
v
eness
of
its
control
method.
T
raditionally
,
proportional
inte
gral
(PI)
controllers
ha
v
e
been
emplo
yed
in
PV
-electrolyzer
systems
due
to
their
simplicity
and
satisf
actory
steady-state
performance
[13],
[14].
Ho
we
v
er
,
the
y
often
f
all
short
under
dynamic
and
nonlinear
operating
conditions,
which
are
common
in
solar
-po
wered
systems.
to
o
v
ercome
this
chall
enges,
more
adv
anced
control
strate
gies
ha
v
e
been
introduced
such
as
fuzzy
logic
control
(FLC)
[15],
[16],
model
predicti
v
e
control
(MPC)
[17],
and
neural
netw
orks
(NN)
[18]
ha
v
e
demonstrated
better
adaptability
to
system
uncertaint
ies
and
disturbances.
Ne
v
ertheless,
their
implementation
can
be
comple
x
and
computationally
demanding,
limiting
their
widespread
deplo
yment.
Out
of
the
v
arious
rob
ust
control
strate
gies,
sliding
mode
contr
o
l
(SMC)
has
emer
ged
as
a
particularly
attracti
v
e
option
for
PV–PEM
h
ydrogen
production
systems
due
to
its
insensiti
vity
to
parameter
v
ariations,
f
ast
dynamic
response,
and
strong
disturbance
rejection
capabilities
[19].
In
dynamic
solar
en
vironments,
con
v
entional
controllers
such
as
PI
often
suf
fer
from
slo
wer
tra
n
s
ient
response,
sensiti
vity
to
parameter
changes,
and
performance
de
gradation
under
rapid
irradiance
and
temperature
uctuations.
In
contrast,
SMC
of
fers
superior
rob
ustness,
f
aster
con
v
er
gence,
and
better
tracking
accurac
y
,
making
it
highly
ef
fecti
v
e
for
maintaining
v
oltage
stability
and
optimizing
h
ydrogen
production
ef
cienc
y
.
Its
ability
to
handle
system
nonlinearities,
parameter
v
ariations,
and
e
xternal
disturbances
ensures
stable
operation
and
high
ef
cienc
y
,
e
v
en
under
rapidly
changing
solar
input.
By
ef
fecti
v
ely
managing
these
dynamic
conditions,
SMC
enhances
both
system
reliability
and
h
ydrogen
yield.
Unlik
e
pre
vious
studies
that
rely
on
idealized
or
simulated
solar
proles,
this
w
ork
distinguishes
itself
by
emplo
ying
real-w
orld
solar
data
collected
from
an
operati
on
a
l
PV
installation
at
the
Higher
School
of
T
echnology
of
Ag
adir
.
This
enables
a
more
accurate
e
v
aluation
of
control
strate
gies
under
realistic
en
vironmental
v
ariations.
The
performance
of
SMC
is
compared
with
that
of
a
con
v
entional
PI
controller
,
with
the
goal
of
enhancing
system
stabil
ity
,
h
ydrogen
production
ef
cienc
y
,
and
o
v
erall
operational
rob
ustness
under
uctuating
solar
conditions.
2.
DESCRIPTION
AND
DESIGN
OF
THE
SYSTEM
The
photo
v
oltaic
h
ydrogen
production
system
st
ud
i
ed
in
this
w
ork
is
sho
wn
in
Figure
1,
It
comprises
a
PV
array
,
a
DC-DC
b
uck
con
v
erter
,
and
a
PEM
electrolyzer
.
The
PV
array
con
v
erts
solar
irradiance
into
DC
electr
icity
,
while
a
control
unit
re
gulates
the
v
oltage
to
match
system
requirements.
The
b
uck
con
v
erter
adjusts
this
v
oltage
to
the
le
v
el
needed
by
the
electrolyzer
,
which
then
uses
the
re
gulated
po
wer
to
perform
w
ater
electrolysis
for
h
ydrogen
production
and
storage.
2.1.
Model
of
the
PEM
electr
olyser
Modeling
a
proton
e
xchange
membrane
(PEM)
electrolyzer
as
an
equi
v
alent
electrical
circuit
enables
safe
testing
of
control
strate
gies
without
ph
ysical
equipment.
The
model
includes
the
re
v
ersible
v
oltage
E
re
v
and
three
resistances:
R
ohm
(internal
losses),
R
act
(acti
v
ation
losses),
and
R
con
(concentration
limitat
ions).
The
total
v
oltage
V
elz
is
gi
v
en
by
(1)
[20].
T
o
analyze
v
oltage
and
po
wer
v
ariations
with
current,
a
commercial
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
1,
March
2026:
69–79
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Appl
Po
wer
Eng
ISSN:
2252-8792
❒
71
400
W
PEM
electrolyzer
w
as
selected;
its
specications
are
in
T
able
1.
The
system
can
be
approximated
linearly
by
a
v
oltage
source
in
series
with
resistance,
described
by
(2).
V
elz
=
E
re
v
+
I
elz
(
R
act
+
R
ohm
+
R
con
)
(1)
V
elz
=
0
.
0625
I
elz
+
4
.
375
(2)
The
linear
model
coef
cients
were
obtained
by
interpolating
e
xperimental
data
o
v
er
a
current
range
of
3–50
A
[21],
sho
wing
a
nearly
linear
v
oltage–current
relationship,
as
sho
wn
in
Figure
2.
This
v
alidates
the
simplied
equi
v
alent
circuit
model
with
a
re
v
ersible
v
oltage
source
and
a
resisti
v
e
component.
Hydrogen
production
(
˙
N
H
2
)
is
calculated
using
F
araday’
s
la
w
[22].
˙
N
H
2
=
nI
2
F
(moles/s)
,
˙
N
H
2
=
0
.
00696
nI
(L/min)
(3)
Where
n
is
the
number
of
cells,
I
the
applied
current,
and
F
F
araday’
s
constant.
F
araday
ef
cienc
y
(
η
F
)
e
xpresses
the
fraction
of
char
ge
con
v
erted
into
h
ydrogen,
as
in
(4).
η
F
=
Actual
moles
of
H
2
Theoretical
moles
of
H
2
×
100%
(4)
Higher
ef
cienc
y
increases
h
ydrogen
yield
and
reduces
ener
gy
consumption.
2.2.
Solar
PV
array
The
solar
PV
unit
is
used
to
produce
po
wer
output.
The
s
olar
panel
in
thi
s
article
is
a
single
unit
with
a
maximum
po
wer
input
capacity
of
120.7
W
.
The
solar
module
specications
are
sho
wn
in
T
able
2
[23].
T
able
1.
PEM
electrolyzer
specications
Specication
V
alues
(unit)
Rated
po
wer
(
P
el
)
400
W
Operating
v
oltage
(
V
elz
)
2.2–8
V
Electrolyzer
current
(
I
elz
)
0–50
A
Output
pressure
0.1–10.5
bar
H
2
o
w
rate
1
L/min
(
T
=
20
°C,
P
=
1
bar)
Cell
Numbers
3
T
able
2.
Solar
panel
parameters
for
W
aaree
Ener
gies
WU-120
P
arameters
V
alue
I
mp
7.1
A
V
mp
17
V
P
max,e
120.7
W
I
sc
8
A
V
oc
21
V
PV
solar
irradiation
(G)
1000
W/m²
PV
operation
temperature
(T)
25
°C
DC
DC
C
on
tr
ol
l
e
r
H
yd
r
oge
n
S
tor
age
D
i
s
ti
l
l
e
d
w
ate
r
H
2
O
½ O
2
H2
A
n
od
e
C
at
h
od
e
M
e
m
b
r
an
e
H+
-
+
Figure
1.
Schematic
of
the
proposed
system
to
produce
h
ydrogen
using
solar
ener
gy
Enhancing
electr
olyzer
performance
for
hydr
o
g
en
pr
oduction
in
a
solar
system
using
...
(Abdellah
El
Idrissi)
Evaluation Warning : The document was created with Spire.PDF for Python.
72
❒
ISSN:
2252-8792
0
10
20
30
40
50
Current (A)
0
100
200
300
400
Power P
e
l
z
(W)
Theoretical Power
Experimental Data
(a)
0
5
10
15
20
25
30
35
40
45
50
Current (A)
0
2
4
6
8
VoltageV
e
l
z
(V)
Theoretical Voltage
Experimental Data
(b)
Figure
2.
Static
characteristics
of
the
selected
PEM
electrolyzer
cells:
(a)
electrolyzer
po
wer
vs.
current
and
(b)
v
oltage
vs.
current,
with
e
xperimental
data
(o)
and
model
tting
(solid
line)
2.3.
Modeling
of
b
uck
con
v
erter
The
b
uck
con
v
ert
er
is
a
type
of
DC-DC
con
v
erter
that
is
widely
used
in
po
wer
electronics
appli
cations
due
to
its
simplicity
,
ef
cienc
y
,
and
ability
to
step
do
wn
the
input
v
oltage.
The
con
v
erter
consists
of
a
switch
(S),
an
inductor
(L),
a
diode
(D),
and
a
capacitor
(C).
Electrolyzers
typically
operate
at
a
lo
w
DC
v
oltage
for
w
ater
electrolysis,
so
the
use
of
a
DC-DC
con
v
erter
,
as
sho
wn
in
Figure
3
is
essential.
In
addition
to
reducing
the
v
oltage,
these
con
v
erters
manage
v
oltage
adaptation
to
handle
uctuations
in
the
v
oltage
pro
vided
by
the
solar
panels.
By
selecting
the
appropriate
components
and
adjusting
the
con
v
erter
parameters
according
to
the
specic
application
requirements,
we
minimize
po
wer
loss
es,
and
e
xtend
the
life
of
the
components
[24].
T
able
3
sho
ws
the
sizing
of
the
v
arious
components
of
the
b
uck
con
v
erter
.
C
V
i
n
V
C
V
e
l
z
L
i
C
R
D
S
DC
Figure
3.
Electrical
schematic
of
the
DC-DC
b
uck
con
v
erter
T
able
3.
Buck
con
v
erter
parameters
P
arameters
V
alues
Inductor
L
497
µH
Capacitor
C
7.94
µF
Switching
frequenc
y
f
40
kHz
Duty
c
ycle
α
22.8%
Input
v
oltage
V
in
30
V
Output
v
oltage
v
elz
7.5
V
The
b
uck
con
v
erter
operates
in
tw
o
modes
depending
on
the
switch
state.
When
ON,
the
inductor
and
capacitor
dynamics
are
go
v
erned
by
(5).
di
L
dt
=
V
in
−
v
elz
L
,
dv
elz
dt
=
i
L
C
−
v
elz
R
C
(5)
When
OFF
as
in
(6).
di
L
dt
=
−
v
elz
L
,
dv
elz
dt
=
i
L
C
−
v
elz
R
C
(6)
These
can
be
written
in
the
state-space
form
as
(7).
˙
x
=
Ax
+
B
V
in
,
Y
=
N
x
(7)
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
1,
March
2026:
69–79
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Appl
Po
wer
Eng
ISSN:
2252-8792
❒
73
Where:
x
=
i
L
v
elz
,
N
=
0
1
State-space
a
v
eraging
o
v
er
one
switching
period,
as
(8).
A
=
α
A
1
+
(1
−
α
)
A
2
,
B
=
α
B
1
(8)
W
ith:
A
1
=
A
2
=
−
1
L
0
1
C
−
1
R
C
,
B
1
=
1
L
0
The
a
v
eraged
model
becomes
(9).
˙
x
=
"
−
(1
−
α
)
L
0
(1
−
α
)
C
−
1
R
C
#
x
+
1
L
0
V
in
(9)
3.
CONTR
OL
STRA
TEGIES
Sliding
mode
controller
(SMC)
i
s
a
po
werful
control
technique
that
can
pro
vide
f
ast
and
rob
ust
cont
rol
of
systems.
Its
ef
fecti
v
eness
has
been
demonstrated
in
v
arious
applications,
including
DC-DC
con
v
erters,
where
it
can
pro
vide
superior
performance
compared
to
other
control
techniques
[25].
The
control
v
ariable
x
Buck
is
presented
in
(10),
where
the
v
ariables
x
1
,
x
2
,
and
x
3
are
respecti
v
ely
the
v
oltage
error
,
the
deri
v
ati
v
e
of
the
error
,
and
the
inte
gral
of
the
error
.
The
instantaneous
capacitor
,
inductor
,
and
load
currents,
respecti
v
ely;
V
ref
,
v
i
,
and
β
v
elz
denote
the
reference,
instantaneous
input,
and
instantaneous
output
v
oltages,
respecti
v
ely;
β
denotes
the
feedback
netw
ork
ratio;
and
u
=
0
or
1
is
the
switching
state
of
po
wer
switch
SW
.
The
equation
of
state
for
the
control
system
in
the
v
ector
space
is
written
in
(10).
x
Buck
=
x
1
=
V
ref
−
β
v
elz
x
2
=
˙
x
1
=
d
dt
(
V
ref
−
β
v
elz
)
x
3
=
R
x
1
dt
=
R
(
V
ref
−
β
v
elz
)
dt
and
˙
x
Buck
=
˙
x
1
=
x
2
˙
x
2
=
−
1
R
C
x
2
+
β
v
in
LC
u
+
β
v
elz
LC
˙
x
3
=
x
1
(10)
The
state-space
model
describing
the
system
can
be
deri
v
ed
as
(11).
˙
x
Buck
=
0
1
0
0
−
1
R
C
0
1
0
0
x
+
0
−
β
v
in
LC
0
u
eq
+
0
β
v
elz
LC
0
(11)
The
SMC
la
w
uses
a
switching
function
to
determine
the
control
signal,
as
(12).
u
=
(
1
when
S
>
0
0
when
S
<
0
where
S
dened
as
S
=
a
1
x
1
+
a
2
x
2
+
a
3
x
3
=
J
T
x
(12)
Where
S
is
the
instantaneous
state
trajectory
and
J
T
=
[
a
1
,
a
2
,
a
3
]
and
a
1
,
a
2
,
a
3
are
the
sliding
coef
cients.
The
sliding
mode
control
ensures
that
the
system
meets
the
sliding
conditions:
hitting,
e
xistence,
and
stability
.
The
ramp
si
gnal
and
control
signal
are
compared
to
get
the
output
switching
signal,
which
has
a
frequenc
y
identical
to
the
ramp
signal.
By
xing
the
ramp
signal
frequenc
y
,
the
output
switching
signal
frequenc
y
remains
constant.
Therefore,
using
the
PWM
technique
in
controller
design
ensures
a
x
ed
frequenc
y
for
the
proposed
method.
In
the
rst
step,
the
equi
v
alent
c
o
nt
rol
signal
u
eq
is
deri
v
ed
using
the
in
v
ariance
condition.
In
the
second
step,
u
eq
is
translated
to
the
duty
ratio
α
of
the
PWM
during
the
deri
v
ation
process.
The
equi
v
alent
control
signal
u
eq
is
obtained
from
the
equation
˙
S
=
J
T
Ax
+
J
T
B
u
eq
+
D
=
0
,
which
yields
the
equi
v
alent
control
function,
as
(13).
Solving
for
u
eq
:
u
eq
=
−
β
L
β
v
in
a
1
a
2
−
1
R
C
i
C
+
a
3
LC
a
2
β
v
in
(
V
r
ef
−
β
v
el
z
)
+
v
el
z
v
in
(13)
Enhancing
electr
olyzer
performance
for
hydr
o
g
en
pr
oduction
in
a
solar
system
using
...
(Abdellah
El
Idrissi)
Evaluation Warning : The document was created with Spire.PDF for Python.
74
❒
ISSN:
2252-8792
T
ranslating
the
equi
v
alent
control
as
in
(13)
to
the
duty
ratio
α
,
where
0
<
α
=
v
c
ˆ
v
ramp
<
1
,
gi
v
es
the
follo
wing
relationships
for
the
control
signal
v
c
and
ramp
signal
ˆ
v
ramp
as
in
(14).
F
or
the
practical
implementation
of
the
PWM-based
sliding
mode
controller
,
the
electrical
schematic
of
the
SMC
controller
is
sho
wn
in
Figure
4.
v
c
=
u
eq
=
k
1
i
C
+
k
2
(
V
ref
−
β
v
elz
)
+
β
v
elz
and
ˆ
v
ramp
=
β
v
in
(14)
Where:
k
1
=
−
β
L
a
1
a
2
−
1
R
C
,
k
2
=
a
3
a
2
LC
K2
+
-
V
r
e
f
β
V
elz
S
l
i
d
i
n
g M
od
e
C
on
tr
ol
l
e
r
Vc
K1
ic
+
+
+
PWM
-
+
β
V
i
n
V
r
am
p
C
V
i
n
V
C
V
e
l
z
L
i
C
R
D
S
DC
Figure
4.
Electrical
schema
of
SMC
controller
4.
RESUL
TS
AND
DISCUSSION
4.1.
Steady-state
perf
ormance
T
o
v
erify
the
ef
cac
y
of
sliding
mode
control
in
re
gulating
v
oltage
to
the
desired
v
alue
for
po
wering
the
electrolyzer
used
in
the
study
,
we
compare
the
results
obtained
us
ing
this
method
with
those
obtained
using
a
classical
PI
controller
,
which
w
as
also
emplo
yed
for
the
same
purpose.
W
e
used
the
MA
TLAB/Simulink
platform
for
this
comparison.
The
steady-state
operational
conditions
of
the
system,
including
the
solar
PV
parameters,
b
uck
con
v
erter
,
and
PEM
electrolyzer
,
are
sho
wn
under
rated
conditions.
The
solar
iradiation
is
x
ed
at
1000
W/m²,
and
the
temperature
is
held
at
25
°C.
The
solar
panel
v
oltage,
current,
and
po
wer
are
stable
at
30
V
,
30
A,
and
897
W
,
respecti
v
ely
,
under
full
irradiance.
These
v
alues
indicate
that
the
PV
system
is
operating
at
its
full
rated
capacity
.
The
PEM
electrolyzer
,
po
wered
by
the
solar
PV
,
also
operates
at
full
rated
po
wer
under
these
conditions.
The
steady-state
electrolyzer
v
oltage
(7.5
V),
current
(47.15
A),
and
po
wer
(354
W)
are
achie
v
ed
by
both
PI
and
SMC
control
strate
gies,
Figure
5
illustrates
the
performance
of
both
control
methods.
In
Figure
5(a),
we
observ
e
the
electrolyzer
v
oltage
(
V
el
z
),
and
in
Figure
5(b),
the
h
ydrogen
production
rate
(
H
2
).
Both
controllers
successfully
ensure
st
able
operation,
with
the
v
oltage
settling
around
7.5
V
and
the
h
ydrogen
production
rate
stabilizing
at
approximately
0.985
L/min.
These
results
conrm
the
system’
s
ef
fecti
v
e
and
reliable
performance
under
steady-state
conditions.
Ho
we
v
er
,
as
demonstrated
in
Figure
5,
the
SMC
pro
v
es
to
be
slightly
more
accurate
and
precise
than
the
PI
controller
in
steady-state
mode.
The
results
sho
w
that
the
SMC
performs
signicantly
better
than
the
PI
controller
in
terms
of
stability
,
accurac
y
,
and
response
time.
In
summary
,
the
SMC’
s
lo
wer
v
alues
across
both
system
response
and
error
metrics
mak
e
it
the
more
ef
fecti
v
e
controller
,
with
greater
stability
,
f
aster
settling,
and
a
much
lo
wer
error
prole
compared
to
the
PI
controller
.
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
1,
March
2026:
69–79
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Appl
Po
wer
Eng
ISSN:
2252-8792
❒
75
0
0.5
1
1.5
2
2.5
3
3.5
4
Time (s)
0
2
4
6
8
10
V
e
l
z
(V)
Electrolyzer Voltage PI
Electrolyzer Voltage SMC
0.02
0.04
7
7.5
8
8.5
2
2.05
2.1
7.48
7.5
7.52
(a)
0
0.5
1
1.5
2
2.5
3
3.5
4
Time (s)
0
0.5
1
H
2
Production (L/min)
Hydrogen Production Rate PI
Hydrogen Production Rate SMC
0.02
0.04
0.06
0.08
0.95
1
1.05
2
2.05
2.1
0.98
0.985
0.99
(b)
Figure
5.
Performance
of
the
system
under
constant
solar
irradiation:
(a)
the
electrolyzer
v
oltage
(
V
el
z
)
and
(b)
the
h
ydrogen
production
rate
(
H
2
)
4.2.
Dynamic
perf
ormance
In
order
to
e
v
aluate
the
dynamic
performance
of
our
controller
,
we
used
e
xperimental
data
collec
ted
from
a
photo
v
oltaic
panel
installed
on
the
rooftop
of
our
laboratory
at
the
Higher
School
of
T
echnology
of
Ag
adir
.
The
dataset
includes
solar
irradiance,
panel
surf
ace
temperature,
and
output
v
oltage.
illustrated
in
Figure
6,
the
data
sho
w
noticeable
uctuations:
irradiance
ranges
from
400
W/m
2
to
1000
W/m
2
,
while
the
surf
ace
temperature
of
the
PV
panel
v
aries
between
42
°C
and
62
°C,
as
sho
wn
in
Figures
6(a)
and
6(b).
These
v
ariations
directly
af
fect
k
e
y
PV
system
parameters,
particularly
the
panel
v
oltage
(
V
pv
),
depicted
in
Figure
6(c),
and
panel
po
wer
(
P
pv
)
in
Figure
6(d)
respecti
v
ely
.
The
irradiance
prole
initially
sho
ws
a
steady
increase,
follo
wed
by
a
sharp
decline
near
the
midpoint,
indicati
n
g
a
temporary
drop
in
solar
input.
This
change
is
clearly
reected
in
the
corresponding
v
oltage
and
current
responses
of
the
system.
The
results
in
Figures
7(a)
and
7(b)
re
v
eal
that
the
SMC
consistently
outperforms
the
PI
controller
in
terms
of
stability
,
accurac
y
,
and
dynamic
response.
The
SMC
demonstrates
minimal
o
v
ershoot
at
0.0299%,
signicantly
lo
wer
than
the
PI’
s
12.2873%,
indicating
a
more
controlled
and
steady
response
close
to
the
tar
get
v
alue.
While
both
controllers
e
xhibit
rapid
response
times,
the
SMC
achie
v
es
a
much
f
aster
settling
time
of
0.0032
seconds
compared
to
the
PI’
s
0.0267
seconds.
Additionally
,
the
SMC
has
a
lo
wer
mean
absolute
percentage
error
(MAPE)
of
0.21%,
is
signicantly
lo
wer
for
the
SMC,
indicating
better
accurac
y
in
achie
ving
the
desired
output.
Here,
V
ref
represents
the
desired
v
alue
(7.5
V)
y
actual
,i
is
the
actual
response
at
each
time
step
i
,
and
n
is
the
number
of
time
steps.
contrasting
sharply
with
the
PI’
s
6.96%,
further
emphasizing
its
superior
tracking
accurac
y
,
When
e
xamining
error
metrics,
the
SMC
ag
ain
distinguishes
i
tself
with
superior
performance
indices.
The
error
signal
is
dened
as
e
(
t
)
=
V
ref
−
V
elz
(
t
)
.
0
0.5
1
1.5
2
2.5
3
3.5
4
Time (s)
400
600
800
1000
Ir (W/m
2
)
Irradiation
(a)
0
0.5
1
1.5
2
2.5
3
3.5
4
Time (s)
40
45
50
55
60
65
T
p
v
(°C)
PV Temperature
(b)
0
0.5
1
1.5
2
2.5
3
3.5
Time (s)
10
15
20
25
30
V
p
v
(V)
PV Voltage
(c)
0
0.5
1
1.5
2
2.5
3
3.5
4
Time (s)
200
400
600
800
1000
P
p
v
(W)
PV Power
(d)
Figure
6.
Dynamic
performance
of
the
system:
(a)
solar
irradiance
(
I
r
),
(b)
temperature
of
the
photo
v
oltaic
panel
(
T
pv
),
(c)
the
panel
v
oltage
(
V
pv
),
and
(d)
the
panel
po
wer
(
P
pv
)
Enhancing
electr
olyzer
performance
for
hydr
o
g
en
pr
oduction
in
a
solar
system
using
...
(Abdellah
El
Idrissi)
Evaluation Warning : The document was created with Spire.PDF for Python.
76
❒
ISSN:
2252-8792
Where
V
ref
(7.5
V)
is
the
desired
v
oltage
and
V
elz
(
t
)
is
the
actual
electrolyzer
v
oltage
at
time
t
,
the
inte
gral
of
squared
error
(ISE)
for
the
SMC
is
lo
wer
at
0.0386
compared
to
0.0476
for
the
PI
controller
,
reecting
a
more
ef
cient
reduction
in
o
v
erall
error
ener
gy
.
Similarly
,
the
inte
gral
of
absolute
error
(IAE)
is
signicantly
reduced
to
0.0114
for
the
SMC,
whereas
the
PI
controller
reaches
0.1362.
The
most
notable
impro
v
ement
appears
in
the
inte
gral
of
time-weighted
absolute
error
(IT
AE),
where
the
SMC
achie
v
es
a
remarkably
lo
w
v
alue
of
0.0039,
in
contrast
to
0.2378
for
the
PI
controller
.
These
results
conrm
that
the
SMC
not
only
minimizes
the
o
v
erall
error
b
ut
also
reacts
more
promptly
to
disturbances,
resulting
in
smoother
and
more
accurate
system
performance,
T
able
4
summarizes
the
dynamic
performance
and
error
metrics
of
both
controllers.
0
0.5
1
1.5
2
2.5
3
3.5
4
Time (s)
0
2
4
6
8
V
e
l
z
(V)
Electrolyzer Voltage PI
Electrolyzer Voltage SMC
0.02
0.03
0.04
7
7.5
8
1.5
2
2.5
7.48
7.5
7.52
(a)
0
0.5
1
1.5
2
2.5
3
3.5
4
Time (s)
0
0.5
1
H
2
Production (L/min)
Hydrogen Production Rate PI
Hydrogen Production Rate SMC
0.02
0.04
0.06
0.9
1
1.1
2.05
2.1
0.984
0.9845
0.985
(b)
Figure
7.
Dynamic
performance
of
the
system
with
v
arying
solar
irradiation
and
temperature:
(a)
the
electrolyzer
v
oltage
(
V
el
z
)
and
(b)
the
h
ydrogen
production
rate
(
H
2
)
T
able
4.
Dynamic
performance
and
error
metrics
of
controllers
Controller
MAPE
(%)
Settling
time
(s)
Ov
ershoot
(%)
ISE
IAE
IT
AE
Equation
–
–
–
Z
e
2
(
t
)
dt
Z
|
e
(
t
)
|
dt
Z
t
|
e
(
t
)
|
dt
PI
6.96
0.0267
12.2873
0.0476
0.1362
0.2378
SMC
0.21
0.0032
0.0299
0.0386
0.0114
0.0039
5.
CONCLUSION
This
study
in
v
estig
ated
the
use
of
adv
anced
control
techniques,
particularly
sliding
mode
control
(SMC),
to
address
the
challenges
of
inte
grating
uctuating
rene
w
able
ener
gy
sources
with
PEM
electrolyzers
for
green
h
ydrogen
production.
The
system
includes
a
photo
v
oltaic
array
connected
to
an
electrol
ysis
unit
via
a
DC-DC
b
uck
con
v
erter
,
which
adjusts
the
solar
panel
v
oltage
to
the
le
v
el
needed
by
the
electrolyzer
.
MA
TLAB/Simulink
simulations
demonstrated
that
SMC
outperforms
the
traditional
P
I
controller
by
achie
ving
nearly
zero
o
v
ershoot,
a
v
ery
f
ast
settling
time
of
0.003
s
econds,
and
a
lo
w
error
rate
(MAPE
of
0.21%).
Additionally
,
SMC
enabled
a
high
h
ydrogen
production
rate
of
0.98
liters
per
minute
with
98%
ef
cienc
y
,
thanks
to
its
ability
to
pro
vide
a
stable
and
consistent
v
oltage
to
the
electrolyzer
.
These
results
underscore
the
potential
of
adv
anced
control
strate
gies,
supported
by
real-w
orld
data,
to
enhance
the
reliability
and
ef
cienc
y
of
rene
w
able
h
ydrogen
production,
laying
a
solid
foundation
for
future
w
ork
aimed
at
further
optimizing
control
methods
and
impro
ving
system
performance.
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.
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
1,
March
2026:
69–79
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Appl
Po
wer
Eng
ISSN:
2252-8792
❒
77
Name
of
A
uthor
C
M
So
V
a
F
o
I
R
D
O
E
V
i
Su
P
Fu
Abdellah
El
Idrissi
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
Belkasem
Imodane
✓
✓
✓
✓
✓
✓
✓
✓
✓
M’hand
Oubella
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
Hatim
Ameziane
✓
✓
✓
✓
✓
✓
✓
✓
✓
Mohamed
Ben
ydir
✓
✓
✓
✓
✓
✓
✓
✓
Kaoutar
Dahmane
✓
✓
✓
✓
✓
✓
✓
✓
Driss
Belkhiri
✓
✓
✓
✓
✓
Mohamed
Ajaamoum
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
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
The
authors
declare
that
the
y
ha
v
e
no
kno
wn
competing
nancial
interests
or
personal
relations
hips
that
could
ha
v
e
appeared
to
inuence
the
w
ork
reported
in
this
paper
.
D
A
T
A
A
V
AILABILITY
The
MA
TLAB
simulation
data
that
support
the
ndings
of
this
study
will
be
made
a
v
ailable
in
an
open-access
repository
upon
acceptance
of
the
manuscript.
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...
(Abdellah
El
Idrissi)
Evaluation Warning : The document was created with Spire.PDF for Python.
78
❒
ISSN:
2252-8792
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O.
T
¨
urkso
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A.
T
¨
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y
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“
A
f
ast
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rob
ust
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BIOGRAPHIES
OF
A
UTHORS
Abdellah
El
Idr
issi
is
an
Ph.D.
student
in
engineering
sciences
at
Ibn
Zohr
Uni
v
ersity
(UIZ),
Ag
adir
,
Morocco,
and
a
member
of
Laboratory
of
Engineering
Sciences
and
Ener
gy
Management
(LASIME)
at
the
High
School
of
T
echnologies
of
Ag
adir
(EST
A).
His
doctoral
research
focuses
on
rene
w
able
ener
gy
systems
for
h
ydrogen
production,
emphasizing
the
optimization
of
solar
-po
wered
electrolyzers
through
adv
anced
control
strate
gies
and
the
inte
gration
of
po
wer
electronics.
He
can
be
contacted
at
email:
abdellah.elidrissi@edu.uiz.ac.ma.
Belkasem
Imodane
is
an
Ph.D.
student
in
electrical
engineering
at
the
Uni
v
ersity
of
Ibn
Zohr
,
Ag
adir
.
He
gradua
ted
as
an
embedded
systems
engineer
in
2021
from
the
National
School
of
Applied
Sciences,
Ag
adir
,
Moroc
co.
Subsequently
,
he
joined
the
research
group
at
the
Engineering
Sciences
and
Ener
gy
Management
Laboratory
,
Uni
v
ersity
of
Ibn
Zohr
,
Ag
adir
,
Morocco.
His
research
focuses
on
rene
w
able
ener
gies
for
his
doctoral
thesis.
He
can
be
contacted
at
email:
b
.imodane@uiz.ac.ma.
M’hand
Oubella
holds
the
position
of
professor
in
higher
education
at
the
High
School
of
T
echnologies
of
Ag
adir
(E
ST
A),
Ibn
Zohr
Uni
v
ersity
,
Ag
adir
,
M
orocco.
He
obtained
his
Ph.D.
in
ener
getic
and
process
engineering
from
the
National
School
of
Appl
ied
Sciences
(ENSA)
of
Ag
adir
in
2014.
Currently
,
M’hand
Oubella
is
a
member
of
the
Laboratory
of
Engineering
Sciences
and
Ener
gy
Management
(LASIME)
at
the
High
School
of
T
echnologies
of
Ag
adir
(EST
A),
and
his
research
focuses
on
intelligent
systems
and
ener
gy
management,
with
a
particular
e
mphasis
on
rene
w
able
ener
gies.
This
research
is
conducted
within
the
frame
w
ork
of
the
research
team
kno
wn
as
Intelligent
Systems
and
Ener
gy
Management
(ERSIME).
He
can
be
contacted
at
email:
m.oubella@uiz.ac.ma.
Int
J
Appl
Po
wer
Eng,
V
ol.
15,
No.
1,
March
2026:
69–79
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