Inter
national
J
our
nal
of
P
o
wer
Electr
onics
and
Dri
v
e
System
(IJPEDS)
V
ol.
17,
No.
2,
June
2026,
pp.
885
∼
893
ISSN:
2088-8694,
DOI:
10.11591/ijpeds.v17.i2.pp885-893
❒
885
T
or
que
ripple
r
eduction
in
PMSM
f
or
FCEVs
using
ANFIS
contr
oller
Shilpa
Rao
Hosabettu,
Pushpa
Rajesh
V
iswanathan
Department
of
Electrical
Engineering,
Jain
(Deemed
to
be
Uni
v
ersity),
Beng
aluru,
India
Article
Inf
o
Article
history:
Recei
v
ed
Oct
21,
2025
Re
vised
Jan
29,
2026
Accepted
Feb
21,
2026
K
eyw
ords:
ANFIS
controller
FCEVs
Field
oriented
control
PI
controller
PMSM
ABSTRA
CT
Globally
,
there
is
a
gro
wing
emphasis
on
switching
to
green
ener
gy
,
particularly
in
the
transportation
sector
,
due
to
the
ef
fects
of
global
w
arming,
as
seen
by
rising
carbon
footprints.
Fuel
cell
electric
v
ehicles
(FCEVs)
are
one
such
technology
that
has
attracted
a
lot
of
interest
because
of
their
a
v
ailability
,
ease
of
use,
high
ef
cienc
y
,
and
silent
operation.
Fuel
cells
are
emplo
yed
along
with
batteries
to
dri
v
e
the
v
ehicle
much
f
arther
.
Motors
lik
e
permanent
magnet
synchronous
motor
(PMSM)
pro
vide
the
dri
ving
force
for
the
v
ehicle,
o
wing
to
their
high
torque
at
v
ariable
speeds
and
compactness.
In
such
systems,
it
is
necessary
to
ha
v
e
intelligent
controllers
that
can
align
with
the
load
requirement
by
means
of
a
consis
tent
and
optimized
po
wer
distrib
ution.
The
torque
ripple
phenomenon,
which
has
an
impact
on
dynamic
performance
and
operational
stability
,
is
one
of
the
main
limitations
in
the
operation
of
PMSMs.
In
this
w
ork,
smart
control
techniques,
which
are
a
combination
of
adapti
v
e
neuro
fuzzy
inference
systems
(ANFIS)
and
proportional-inte
gral
(PI)
control,
are
emplo
yed
to
demonstrate
the
application
of
PMSM
in
conjunction
with
eld-oriented
control
(FOC).
Simul
ation
results
indicate
that
the
proposed
ANFIS-based
FOC
reduces
torque
ripple
as
compared
to
con
v
entional
PI
control
under
v
arying
load
conditions.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
Shilpa
Rao
Hosabettu
Department
of
Electrical
Engineering,
Jain
(Deemed
to
be
Uni
v
ersity)
Beng
aluru,
India
Email:
shilpaach16@gmail.com
1.
INTR
ODUCTION
Battery
electric
v
ehicles
(BEVs)
are
limited
by
range
and
can
be
b
ulk
y
for
long-distance
tra
v
el.
Furthermore,
the
bigger
the
battery
,
the
longer
it
tak
es
to
get
char
ged.
Batteries
also
ha
v
e
a
limited
lifespan;
their
performance
depletes
with
time,
and
we
need
to
consider
the
mitig
ation
of
the
disposal
of
aged-out
batteries,
which
pose
an
en
vironment
al
hazard
[1].
In
comparison
with
a
battery
,
fuel
cells
generate
electrical
ener
gy
instead
of
storing
it
and
do
so
as
long
as
the
fuel
supply
is
maintained.
Fuel
cell
electric
v
ehicles
(FCEVs)
of
fer
v
arious
benets,
including
a
rapid
refuelling
time
that
mak
es
them
suitable
for
long-distance
journe
ys.
Fuel
cells
cannot
react
to
sudden
transient
speed
and
torque
v
ariations
due
to
the
time
required
to
change
t
he
fuel
supply
rate
and
fuel
reaction
rate.
This
supply
time
g
ap
should
be
mitig
ated
intelligently
by
the
use
of
battery
packs.
Although
direct
current
(DC)
machines
are
well
kno
wn
for
their
ease
of
control,
alternating
current
(A
C)
motors
ha
v
e
adv
antages
such
as
lo
wer
maintenance
and
higher
ef
cienc
y
[2].
In
the
case
of
electric
v
ehicles
(EVs),
the
choice
for
motors
includes
induction
motors,
brushless
DC
motors,
and
permanent
magnet
J
ournal
homepage:
http://ijpeds.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
886
❒
ISSN:
2088-8694
synchronous
motors
(PMSMs).
As
loads
are
non-linear
,
the
control
system
for
fuel
injection
should
be
dynamic
and
f
ast-responsi
v
e
[3],
which
leads
to
reduced
ef
cienc
y
.
PMSMs
are
generally
preferred
in
EVs
due
to
lo
wer
torque
ripple,
higher
torque
density
,
good
lo
w-speed
performance,
higher
ef
cienc
y
and
lo
wer
acoustic
noise
compared
to
brus
hless
DC
(BLDC)
motors
[4].
BLDC
motors
are
well
kno
wn
for
simpler
control
strate
gies,
such
as
step
control,
which
limit
performance
optimization.
Ha
and
V
an
Hai
[5]
present
an
adapti
v
e
neuro-fuzzy
inference
system
(ANFIS)–based
torque
controller
for
an
in-wheel
single-sided
axial
ux
permanent
magnet
synchronous
motor
(AFPMSM)
used
in
electric
v
ehicles.
The
proposed
ANFIS
controller
is
designed
within
a
eld-oriented
control
frame
w
ork
and
compared
with
con
v
entional
proportional
inte
gral
(PI)
and
fuzzy
logic
controllers.
MA
TLAB/Simulink
results
demonstrate
that
ANFIS
pro
vides
superior
torque
tracking,
reduced
torque
ripple,
impro
v
ed
ef
cienc
y
,
and
better
rob
ustness
to
parameter
v
ariations.
The
study
highlights
the
ef
fecti
v
eness
of
intelligent
h
ybrid
control
strate
gies
for
enhancing
torque
performance
and
stability
in
in-wheel
AFPMSM-based
elec
tric
v
ehicle
traction
systems.
Chaudhary
et
al.
[6]
present
a
topology
featuring
a
modied
boost
DC-DC
con
v
erter
connected
to
the
PMSM
via
eld-oriented
control
(FOC).
The
study
highlights
t
he
use
of
the
FOC
strate
gy
for
fuel-cell-based
EVs
equipped
with
PMSMs.
Re
generati
v
e
braking
ar
tef
acts
by
means
of
a
bi-directional
con
v
erter
ha
v
e
not
been
considered.
Basappa
and
V
isw
anathan
[7]
propose
FOC
on
ANFIS
for
PMSM-based
EVs
handling
nonlinearities.
ANFIS-based
approach
gi
v
es
smoother
performance,
b
ut
does
not
e
v
aluate
torque
ripple,
which
is
a
k
e
y
parameter
for
use
in
EV’
s.
T
able
1
presents
a
comparison
of
commonl
y
used
control
techniques,
including
FLC
[8],
particle
sw
arm
optimization
(PSO),
and
FOC.
The
FLC-based
v
alues
e
xhibit
a
maximum
torque
ripple
of
13.5%
as
compared
to
multiobjecti
v
e
PSO
of
7.3%
and
77.6%
with
h
ysteresis
band
current
controller
[9].
The
ndings
from
the
table
abo
v
e
highlight
the
signicant
ripple
in
traditional
methods,
such
as
FLC,
PI
control-based
FOC,
and
traditional
FOC.
By
le
v
eraging
smart
control
techniques
such
as
PSO
or
ANFIS-based
control,
EVs
can
operate
with
much
higher
precision
and
pro
vide
a
smoother
dri
v
e
e
xperience
in
EVs.
T
able
1.
Comparison
of
control
techniques
for
PMSM
dri
v
es
Controller
T
orque
ripple
Inference
FLC
0.135
Good
Multiobjecti
v
e
PSO
0.073
F
ast
FOC
0.776
Poor
2.
METHOD
The
inherent
issue
with
FCEVs
is
the
torque
ripple,
which
leads
to
jerks
while
dri
ving
the
v
ehicle.
It
also
increases
ambient
noise
and
mechanical
stress,
and
reduces
dri
v
e-train
ef
cienc
y
.
The
primary
reasons
for
torque
ripple
are
fuel
injection,
control
strate
gy
sl
o
wness,
in
v
erter
harmonics,
and
battery
internal
resistance.
This
paper
shall
address
countering
fuel
injection,
control
strate
gy
slo
wness,
and
torque
ripple
reduction
by
using
an
ANFIS
controller
.
A
closed-loop
FOC
for
fuel
cell
electric
v
ehicles
emplo
ying
PMSM
motors.
The
system
parameters,
v
oltage,
current,
and
speed,
are
sensed
and
fed
to
the
controller
,
as
sho
wn
in
Figure
1(a).
Figure
1(b)
sho
ws
the
control
operation
with
the
ANFIS
controller
.
The
initial
research
be
g
an
with
choosing
an
of
f-the-shelf
PMSM
motor
simulation
in
MA
TLAB.
It
is
crucial
to
design
a
smart
controller
,
such
as
ANFIS,
to
produce
a
f
ast
and
more
concise
output
response
to
v
ariations
in
the
load.
Fuel
cells
operate
at
a
nominal
DC
v
oltage
and
are
slo
w
to
react
to
sudden
changes
in
load,
leading
to
transients.
Thus,
an
additional
battery
is
emplo
yed
in
parallel,
which
not
only
supplies
transient
po
wer
b
ut
can
also
store
ener
gy
during
braking
[4].
There
are
dif
ferent
types
of
controllers
s
u
gges
ted
in
[5],
such
as
the
PI
controller
,
ANFIS
controller
,
fuzzy
controller
,
and
neural
netw
ork
[6],
sliding
mode
controller
[7].
DC-A
C
con
v
erter/in
v
erter
is
needed
to
feed
the
DC
v
oltage
to
the
PMSM
motor
.
The
control
strate
gy
is
based
on
techniques
such
as
direct
torque
control
(DTC)
[10]
and
FOC.
The
proposed
topology
includes
2
ener
gy
sources,
viz.:
fuel
cell
and
battery
packs.
Fuel
cells
cannot
be
rechar
ged
by
supplying
current
and
can
only
dissipate
po
wer
through
the
use
of
fuel,
and
thus
can
be
called
a
unidirectional
po
wer
source
[8].
Thus,
on
light
loads,
the
residual
po
wer
from
the
fuel
ce
ll’
s
operation
is
used
to
rechar
ge
the
battery
.
The
output
v
oltage
of
the
fuel
cell
drops
under
v
arious
scenarios,
such
as
concentration
drop,
acti
v
ation
drop,
and
an
increase
in
the
output
current.
Thus,
there
is
a
need
for
v
oltage
stabilization
at
the
output
of
the
fuel
cell
[9].
Batteries,
on
the
other
hand,
can
either
supply
po
wer
to
the
load
under
v
arious
light-load
conditions
or
can
be
rechar
ged
as
well
with
residual
po
wer
and
re
generati
v
e
braking.
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
885–893
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
887
(a)
(b)
Figure
1.
Proposed
system
block
diagram:
(a)
proposed
system
of
fuel
cell
with
battery
EV
system
and
(b)
FOC
block
diagram
with
ANFIS
2.1.
Bidir
ectional
con
v
erter
A
bidirectional
DC-DC
con
v
erter
is
emplo
yed
to
bridge
the
connection
between
a
fuel
cell
and
a
battery
,
as
sho
wn
in
Figure
2,
due
to
the
dif
ference
in
rating
and
dynamic
load.
This
con
v
erter
shall
play
a
crucial
role
in
re
gulating
and
managing
the
desired
output
v
oltage,
current,
and
po
wer
.
The
con
v
erter
achie
v
es
b
uck-boost
functionality
by
transferring
ener
gy
between
tw
o
inductors
and
capacitors
through
controlled
switching,
which
controls
the
output
v
oltage
[11].
The
control
can
be
adjusted
by
v
arying
the
duty
c
ycle
of
the
switch,
the
switching
frequenc
y
,
and
other
aspects
based
on
the
load
and
input
conditions.
The
o
wchart,
as
sho
wn
in
Figure
3
e
xplains
the
3
modes
of
operation
of
bidirectional
con
v
erter
,
viz.:
i)
fuel
cell
supply
mode
(boost
operation)
e
xplains
that
the
fuel
cell
supply
mode
indicates
that
all
the
load
po
wer
is
supplied
by
the
fuel
cell,
ii)
battery
assist
mode
indicates
that
po
wer
to
the
load
is
supplied
by
both
the
fuel
cell
and
battery
combined,
and
iii)
re
generati
v
e
braking
mode
which
supplies
po
wer
back
to
the
battery
during
braking
operation.
This
means
that
the
transients
of
the
load
are
not
directly
seen
by
the
fuel
cell
and
are
borne
by
the
battery
output.
The
output
sho
wn
in
Figure
4(a)
depicts
the
re
gulation
of
0.1%
with
the
steady
state
con
v
erter
v
oltage
of
58
V
.
Figure
4(b)
sho
ws
the
equi
v
alent
MA
TLAB
simulation
model.
Figure
2.
Bidirectional
con
v
erter
schematic
Figure
3.
Bidirectional
con
v
erter
T
or
que
ripple
r
eduction
in
PMSM
for
FCEVs
using
ANFIS
contr
oller
(Shilpa
Rao
Hosabettu)
Evaluation Warning : The document was created with Spire.PDF for Python.
888
❒
ISSN:
2088-8694
(a)
(b)
Figure
4.
Bidirectional
con
v
erter:
(a)
DC
output
and
(b)
MA
TLAB
simulation
2.2.
P
ermanent
magnet
synchr
onous
motor
PMSM
motors
are
the
preferred
choice
for
FCEVs
due
to
their
superior
characteristics,
impro
v
ed
ef
cienc
y
,
compact
size,
reduced
noise
le
v
els,
and
rotor
inertia
[12].
The
motor
rating
needs
to
be
carefully
chosen
to
match
the
maximum
torque
required
and
current
rating,
and
this
can
be
achie
v
ed
by
selecting
intelligent
controllers.
The
intelligent
controller
controls
the
DC-DC
con
v
erter
as
well
as
the
DC-A
C
in
v
erter
.
The
main
purpose
of
FOC
is
to
maintain
the
stator
and
rotor
elds
perpendicular
to
each
other
to
produce
maximum
torque
[13].
The
control
signal
is
aligned
with
the
magnetic
eld
of
the
rotor
.
The
three-phase
stator
currents
I
a
,
I
b
,
I
c
are
con
v
er
ted
into
2-phase
stationary
frame
(I,
Q)
kno
wn
as
Clark
e’
s
T
ransform.
By
using
the
angle
θ
r
and
P
ark’
s
transform,
stationary
currents
are
con
v
erted
into
a
rotating
reference
frame
kno
wn
as
the
d-q
frame
(
I
d
,
I
q
).
The
error
observ
ed
between
the
reference
current,
deri
v
ed
from
the
computation
of
stator
ux,
and
the
actual
current
is
fed
to
the
controller
for
current
control,
which
con
v
erts
the
dif
ference
into
v
oltage
terms
used
for
PWM
generation
[14].
T
w
o
control
modes
are
used
in
FOC,
viz.:
current
control
and
speed
control.
As
the
loads
are
nonlinear
,
the
motor
torque
changes
rapidly
,
which
af
fects
the
current
requirement;
maintaining
v
oltage
re
gulation
during
load
swit
ching
[15].
The
fundamental
equation
of
torque
(
T
e
)
in
a
PMSM
is
as
in
(1).
T
e
=
3
p
2
(
ψ
m
i
q
+
(
L
d
−
L
q
)
i
d
i
q
)
(1)
Where
p
number
of
poles,
ψ
m
rotor
ux
linkage.
i
d
,
i
q
,
L
d
,
L
q
D
and
Q
axis
stator
current
and
inductance.
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
885–893
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
889
The
torque
comprises
tw
o
parts:
magnetic
torque,
the
more
dominant,
produced
by
the
inte
raction
between
the
permanent
magnet
ux
and
the
quadrature
current
i
q
,
and
reluctance
torque,
which
is
produced
by
the
dif
ferences
in
inductance
between
d
and
q
ax
es.
The
problem
with
operating
the
PMSM
at
rated
ux
is
that
the
maximum
speed
is
limited
by
stator
v
oltage,
rated
current,
and
back
electromagnetic
force
(EMF)
[16].
In
such
scenarios,
the
option
is
to
go
with
eld
weak
ening
control
of
the
motor
,
which
controls
the
D-axis
current
by
inducing
a
ne
g
ati
v
e
v
alue.
By
doing
so,
the
rotor
ux
linkage
reduces
and
thus
higher
speeds
abo
v
e
base
speed
are
possible.
PMSM
motor
has
a
sinusoidal
type
of
back
EMF
that
interacts
with
the
stator
currents
to
produce
the
motor
torque
[17].
Distortions
caused
in
the
back
EMF
shall
further
increase
the
torque
ripple.
Owing
to
its
sinusoidal
back
EMF
,
the
motor
shall
ha
v
e
smooth
torque
production
and
lo
wer
harmonics
as
compared
to
other
motors.
Stator
current
analysis
is
essential
for
understanding
it
s
control
characteristics,
performance
e
xpectations,
and
achie
v
able
ef
cienc
y
.
The
y
are
120-de
gree
phase-shifted
and
balanced
in
ideal
conditions
[18].
Under
loaded
conditions,
the
st
ator
current
increases
proportionally
to
maintain
the
torque,
thereby
introducing
harmonics
due
to
saturation
and
potentially
non-linearities
[19].
These
can
be
balanced
out
by
means
of
a
closed-loop
control
by
emplo
ying
an
additional
PI
controller
.
The
P
ark
transform
in
v
olv
es
con
v
erting
3-phase
stator
currents,
which
are
sensed
using
a
current
sensor
,
into
a
non-rotating
DQ-axis
frame
[20]–[22].
The
purpose
of
doing
so
is
to
simplify
the
operation
in
a
3-phase
rotating
frame.
The
de
gree
of
freedom
in
a
PMSM
includes
current,
v
oltage,
torque,
and
speed
[23].
The
MA
TLAB
model
used
in
this
w
ork
is
sho
wn
in
Figure
5.
Figure
5.
MA
TLAB
simulation
model
2.3.
PI
contr
oller
and
ANFIS
contr
oller
A
PI
controller
is
a
v
ery
commonly
used
feedback
controller
to
minimize
the
error
as
compared
to
t
he
reference,
which
combines
proportional
and
inte
gral
action
to
past
error
[24].
The
system
transfer
function
can
thus
be
dened
as
(2).
u
(
t
)
=
K
p
e
(
t
)
+
K
i
Z
e
(
t
)
dt
(2)
Where
K
p
is
the
proportional
g
ain
K
i
is
the
inte
gral
g
ain,
and
e
(
t
)
i
s
the
error
.
PI
controllers
in
this
w
ork
ha
v
e
been
used
in
a
couple
of
stages
as:
i)
control
of
I
d
and
I
q
with
respect
to
reference;
ii)
ring
angle
control
of
bi-directional
DC-DC
con
v
erter
.
ANFIS
controller
is
an
articial
intelligence-based
control
technique
that
incorporates
a
neural
netw
ork
with
a
rule-based
reasoning
of
fuzzy
logic.
It
represents
an
adv
anced
control
strate
gy
for
PMSM
that
combines
the
strengths
of
neural
netw
orks
and
fuzzy
logic
systems.
ANFIS
controllers
are
particularly
v
aluable
in
electric
v
ehicle
dri
v
e
sys
tems
requiring
precise
torque
control,
high
precision
positioning
systems
and
robotics
[25],
[26].
Due
to
this
h
ybrid
approach
of
using
both
PI
and
ANFIS,
we
can
ef
fecti
v
ely
mitig
ate
the
ef
fects
of
non-linear
motor
and
load
dynamics.
Non-linear
control,
as
pro
vided
by
the
ANFIS
controller
,
learns
and
models
PMSMs’
characteri
stics
ef
fecti
v
ely
[27].
It
can
dynamically
adjust
its
control
rules
in
real
time
as
conditions
(load,
speed,
temperature)
change.
Thereby
,
we
can
say
that
ANFIS
minimizes
ener
gy
losses
and
impro
v
es
dri
v
e
ef
cienc
y
[28]
and
achie
v
es
good
speed
and
torque
tracking.
Furthermore,
it
optimiz
es
control
parameters
without
requiring
manual
tuning.
Therefore,
we
can
say
that
this
controller
w
orks
in
tandem
with
the
PI
controller
to
ensure
ripple-reduced
torque
and
intelligently
balance
fuel
cell
and
battery
po
wer
.
T
or
que
ripple
r
eduction
in
PMSM
for
FCEVs
using
ANFIS
contr
oller
(Shilpa
Rao
Hosabettu)
Evaluation Warning : The document was created with Spire.PDF for Python.
890
❒
ISSN:
2088-8694
The
ANFIS
controller
design
for
fuel
cell
EVs
comprises
the
follo
wing
stages
[29],
and
it
is
as
sho
wn
in
Figure
6.
Fuzzication
of
the
input
to
generate
the
membership
grade
of
the
input.
Rule-based
optimization
by
means
of
remo
ving
rarely
used
rules
and
by
the
use
of
the
genetic
algorithm
(GA),
to
select
optimal
v
alues.
In
this
w
ork,
h
ybrid
controllers
are
emplo
yed,
which
are
a
combination
of
PI
and
ANFIS,
to
stabilize
performance.
The
fuzzy
logic
controller
emplo
ys
a
proportional-inte
gral
(PI)
conguration,
where
a
fuzzy
inference
system
(FIS)
utilizes
speed
error
and
its
deri
v
ati
v
e
v
alues
to
generate
the
required
q-axis
current
v
alues,
thereby
maintaini
ng
the
desired
motor
speed.
No
changes
were
made
to
the
ANFIS
structure
from
MA
TLAB;
the
rules
belo
w
were
optimized
to
impro
v
e
the
performance
with
FCEVs.
–
If
the
error
is
ne
g
ati
v
e
and
the
rate
is
also
ne
g
ati
v
e,
the
output
is
-1.
–
If
the
error
is
positi
v
e
and
the
rate
is
also
positi
v
e,
the
output
is
1.
–
All
other
cases
(error
and
rate
dif
fering
in
sign),
output
is
0.
The
model
congurations
include
the
follo
wing
parameters
for
the
ANFIS
tuning,
viz.:
Kp,
Ki,
controller
scaling
f
actors
(
C
0
,
C
e
,
C
d
)
are
deri
v
ed
from
the
con
v
entional
PI
controller
g
ains.
T
able
2
gi
v
es
the
ANFIS
tuning
parameters
,
and
T
able
3
gi
v
es
the
PI
Controller
tuning
parameters
for
current
control
and
ring
angle
control.
These
v
alues
are
chosen
on
a
trial-and-error
basis.
Figure
6.
ANFIS
control
block
diagram
T
able
2.
ANFIS
tuning
parameters
P
arameter
V
alue
Error
scaling
f
actor
(Ce)
1
Change
in
error
scaling
f
actor
(Cd)
0.15149
Output
scaling
f
actor
(C0)
15.177
T
able
3.
PI
tuning
parameters
P
arameter
Current
controller
(1)
Firing
angle
control
(2)
Kp
5
0.3005
Ki
1
0.2291
3.
RESUL
TS
AND
DISCUSSION
Reference
speed
w
as
chosen
to
depict
changing
load
conditions
at
time
interv
als
of
1
second.
As
sho
wn
in
Figure
7(a),
at
startup,
there
is
a
slight
o
v
ershoot
in
rotor
speed
before
it
settles
into
its
steady-state.
The
speed
feedback
closely
follo
ws
the
changes
in
t
he
reference
load
speed
with
rapid
settling
(0.25
s),
indicating
a
well-tuned
loop.
At
each
speed
step,
brief
oscillations
appear
in
speed
and
torque.
Figure
7(b)
sho
ws
the
v
olta
ge
transients
w
a
v
eform,
which
also
indicates
the
transient
se
ttling
with
o
v
ershoot
of
approximately
5%.
Figure
8(a)
sho
ws
the
motor
v
oltage
closely
follo
wing
the
change
in
load
demand.
The
controller
e
xhibits
good
dynamic
performance
with
good
transient
settling
time
(0.25
s),
accurate
tracking,
and
stable
bidirectional
speed
control,
thus
making
it
suitable
for
applications
such
as
PMSM
dri
v
es
in
FCEVs.
ANFIS
controllers
clearly
demonstrate
superior
motor
control
with
swift
acceleration.
Further
,
the
lo
w
o
v
ershoot
from
the
desired
speed
demonstrates
crisp
and
precise
speed
control.
The
transients
seen
at
the
time
of
phase
switching
are
a
typical
characteristic
of
PMSM.
Although
the
sampling
time
of
the
simulation
w
as
chosen
as
100
us,
i
n
c
reasing
the
sampling
time
does
not
bring
forw
ard
an
y
further
impro
v
ement
in
ripple
reduction.
Only
changes
with
re
spect
to
the
control
technique
to
use,
machine
learning
methods
such
as
reinforcement
learning,
can
further
impro
v
e
the
transient
settling
time.
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
885–893
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
891
T
able
4
gi
v
es
the
motor
parameters
chosen
for
simulation,
and
T
able
5
gi
v
es
the
simulation
output.
Figure
8(b)
sho
ws
the
motor
torque.
Since
the
Iq
directly
controls
torque
as
from
the
PMSM
fundamental
torque
equation,
it
can
be
inferred
directly
that
the
torque
control
is
e
xactly
as
e
xpected.
(a)
(b)
Figure
7.
Speed
and
current
comparison
with
reference:
(a)
speed
comparison
with
reference
and
(b)
v
oltage
transients
(a)
(b)
Figure
8.
Motor
v
oltage
and
torque
comparison
with
reference:
(a)
motor
v
oltage
and
(b)
motor
torque
T
able
4.
Motor
parameters
in
simulation
P
arameter
V
alue
P
arameter
V
alue
Number
of
pole
pairs
7
Stator
inductance
per
phase
87.678
uH
Rated
current
7.26
A
Nominal
base
speed
3476
rpm
Rated
torque
0.3471
Nm
Rated
po
wer
200
W
Stator
resistance
per
phase
0.293
Ω
T
able
5.
Simulation
output
Simulation
output
V
alue
V
oltage
o
v
ershoot
5%
T
orque
ripple
2.35%
Settling
time
0.25
s
Sampling
time
100
us
4.
CONCLUSION
Fuel
cell-based
electric
v
ehicles
ha
v
e
been
modeled
by
means
of
a
fuel
cell
battery
system,
which
serv
es
as
an
optimum
control
system
to
re
gulate
fuel
us
age
as
well
as
char
ge
the
battery
under
light
load
conditions.
The
simulations
ha
v
e
been
done
considering
v
arying
load
conditions
in
practical
scenarios.
Smart
controllers
can
signicantly
reduce
torque
ripple
and
re
gulate
speed.
In
FCEVs,
torque
and
speed
must
be
controlled
ef
ciently
to
achie
v
e
the
best
results.
The
obtained
speed
responses
conrm
that
the
implemented
control
strate
gy
achie
v
es
accurate
and
stable
speed
re
gulation
o
v
er
a
wide
operating
range.
The
motor
speed
consistently
tracks
the
reference
commands
with
minimal
steady-state
error
,
indicating
ef
fecti
v
e
control
action.
Although
small
transient
o
v
ershoots
and
oscillations
are
observ
ed
during
sudden
speed
changes
and
direction
re
v
ersals,
the
y
are
well
damped
and
settle
quickly
,
demonstrating
good
dynamic
stability
.
The
controller
maintains
smooth
transitions
between
motoring,
zero-speed,
and
re
generati
v
e
(re
v
erse)
operation,
which
is
critical
for
applications
such
as
PMSM-based
FCEVs.
Ov
erall,
the
res
ults
v
alidate
that
the
control
scheme
pro
vides
rob
ust
bidirectional
speed
control,
f
ast
transient
response,
and
reliable
performance
under
v
arying
speed
commands,
making
it
suitable
for
practical
traction
dri
v
e
applications.
The
future
room
for
impro
v
ement
is
the
reduction
of
harmonics
of
A
C
v
oltage,
and
further
reduction
in
torque-speed
ripple.
It
is
proposed
that
this
can
be
further
reduced
by
the
use
of
ML
techniques.
T
or
que
ripple
r
eduction
in
PMSM
for
FCEVs
using
ANFIS
contr
oller
(Shilpa
Rao
Hosabettu)
Evaluation Warning : The document was created with Spire.PDF for Python.
892
❒
ISSN:
2088-8694
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
Shilpa
Rao
Hosabettu
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
Pushpa
Rajesh
V
isw
anathan
✓
✓
✓
✓
✓
✓
✓
✓
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
Administrati
on
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
data
that
support
the
ndings
of
this
study
are
a
v
ailable
from
the
corresponding
author
,
[SRH],
upon
reasonable
request.
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v
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wind
turbine
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on:
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v
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v
aluation
of
FOC
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DTC
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BIOGRAPHIES
OF
A
UTHORS
Shilpa
Rao
Hosabettu
is
an
assistant
professor
in
the
Electrical
Engineering
Department
at
the
AMC
Colle
ge
of
Engineering,
Beng
aluru,
India,
since
2017.
She
recei
v
ed
her
B.E.,
M.T
ech.
de
gree
in
Ele
ctrical
Engineering
from
V
isv
esw
araiah
T
echnological
Uni
v
ersity
,
Karnataka,
in
2006
and
2011,
respecti
v
ely
.
Currently
pursuing
a
Ph.D.
since
2022
in
the
eld
of
fuel
cell
electric
v
ehicles.
Her
research
interests
include
the
eld
of
EVs,
po
wer
electronics,
motor
dri
v
es,
rene
w
able
ener
gy
,
and
intelligent
controllers.
She
can
be
contacted
at
email:
shilpaach16@gmail.com.
Pushpa
Rajesh
V
iswanathan
has
been
serving
as
a
professor
in
the
Electrical
Engineering
Department
and
Placement
Of
cer
at
Jain
(Deemed
to
be
Uni
v
ersity),
Beng
aluru,
India,
since
2017.
He
has
completed
a
Ph.D.
from
Anna
Uni
v
ersity
,
in
Electrical
Engineering,
specializing
in
Po
wer
Electronics
and
Special
Electrical
Dri
v
es.
He
has
recei
v
ed
the
International
Best
Research
A
w
ard
for
the
year
2018-2019,
instituted
by
SDF
International,
London,
UK.
He
also
recei
v
ed
national
a
w
ards
lik
e
best
aca
demic
researcher
,
outstanding
f
a
culty
a
w
ard,
best
f
aculty
a
w
ard,
and
best
placement
coordinator
from
v
arious
research
or
g
anizations.
He
has
published
man
y
papers
in
Internati
onal
and
National
Journals
with
a
high
impact
f
actor
.
He
can
be
contacted
at
email:
v
.pushparajesh@jainuni
v
ersity
.ac.in.
T
or
que
ripple
r
eduction
in
PMSM
for
FCEVs
using
ANFIS
contr
oller
(Shilpa
Rao
Hosabettu)
Evaluation Warning : The document was created with Spire.PDF for Python.