Inter
national
J
our
nal
of
P
o
wer
Electr
onics
and
Dri
v
e
System
(IJPEDS)
V
ol.
17,
No.
1,
March
2026,
pp.
653
∼
662
ISSN:
2088-8694,
DOI:
10.11591/ijpeds.v17.i1.pp653-662
❒
653
A
no
v
el
adapti
v
e
constant
po
wer
optimal
efciency
contr
ol
strategy
f
or
bidir
ectional
DS-LCC
wir
eless
char
ger
Jiabo
Y
an
1,2
,
Mohd
J
unaidi
Abdul
Aziz
1
,
Nik
Rumzi
Nik
Idris
1
,
Mohammad
Al
T
akr
ouri
1
,
T
ole
Sutikno
3,4
1
F
aculty
of
Electrical
Engineering,
Uni
v
ersiti
T
eknologi
Malaysia,
Johor
,
Malaysia
2
Nanning
Engineering
T
echnology
Research
Center
for
Po
wer
T
ransmission
System
of
Ne
w
Ener
gy
V
ehicle,
Colle
ge
of
T
raf
c
and
T
ransportation,
Nanning
Uni
v
ersity
,
Nanning,
China
3
Department
of
Electrical
Engineering,
F
aculty
of
Industrial
T
echnology
,
Uni
v
ersitas
Ahmad
Dahlan,
Y
ogyakarta,
Indonesia
4
Embedded
System
and
Po
wer
Electronics
Research
Group,
Y
ogyakarta,
Indonesia
Article
Inf
o
Article
history:
Recei
v
ed
Jun
4,
2025
Re
vised
Oct
22,
2025
Accepted
Dec
11,
2025
K
eyw
ords:
Constant-po
wer
Double-sided
LCC
Inducti
v
e
po
wer
transfer
Optimal
ef
cienc
y
W
ireless
po
wer
transfer
ABSTRA
CT
This
paper
presents
a
no
v
el
adapti
v
e
constant
po
wer
optimal
ef
cienc
y
control
(A
CPOEC)
strate
gy
that
enables
ef
cient
constant
po
wer
(CP)
char
ging
in
a
double-sided
inductor
-capacitor
-capacitor
(DS-LCC)
wireless
char
ger
.
The
proposed
control
strate
gy
is
b
uilt
upon
triple-phase-shift
(TPS)
modulation
and
emplo
ys
a
pre-computed
lookup
table
deri
v
ed
from
of
ine
optimization
to
achie
v
e
CP
char
ging
with
corresponding
optimal
ef
cienc
y
.
The
CP
char
ger
with
the
propos
ed
strate
gy
can
eliminate
switch-
controlled
capacitors
(SCCs)
in
the
topology
.
The
proposed
strate
gy
is
v
alidated
through
simulation
studies,
achie
ving
an
ef
cienc
y
range
of
90.72%
to
92.46%,
which
is
also
competiti
v
e
with
other
adv
anced
CP
wireless
char
ging
systems.
Compared
with
e
xisting
state-of-the-art
CP
wireless
char
ging
techniques,
the
wireless
CP
char
ger
with
the
proposed
A
CPOEC
strate
gy
features
a
simplied
topology
,
bidirectional
po
wer
transfer
capability
,
and
competiti
v
e
ef
cienc
y
performance.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
Mohd
Junaidi
Abdul
Aziz
F
aculty
of
Electrical
Engineering,
Uni
v
ersiti
T
eknologi
Malaysia
Balai
Cerap
UTM,
Lengk
ok
Suria,
81310
Skudai,
Johor
,
Malaysia
Email:
junaidi@utm.my
1.
INTR
ODUCTION
In
the
domain
of
battery
char
ging,
the
traditional
constant
current
(CC)
char
ging
method
remains
the
predominant
approach
[1],
[2].
Ho
we
v
er
,
CC
char
ging
does
not
fully
e
xploit
the
a
v
ailable
po
wer
capacity
of
the
po
wer
source
and
char
ger
.
As
sho
wn
in
Figure
1(a),
the
output
po
wer
is
lo
w
when
the
battery
v
oltage
is
lo
w
.
This
limitation
leads
to
under
utilization
of
the
char
ger’
s
and
po
wer
supply’
s
capabilities,
e
xtending
the
o
v
erall
char
ging
duration.
Compared
to
CC
char
ging,
constant
po
wer
(CP)
char
ging
maintains
a
consistent
po
wer
t
ransfer
throughout
the
entire
char
ging
process
[3],
as
sho
wn
in
Figure
1(b).
This
char
ging
method
adjusts
the
output
current
through
control
strate
gies
in
response
to
v
ariations
in
battery
v
oltage.
This
C
P
char
ging
can
fully
utilize
the
a
v
ailable
po
wer
capacity
of
the
equipment,
thereby
accelerating
the
char
ging
process
and
reducing
the
o
v
erall
char
ging
time.
Moreo
v
er
,
CP
char
ging
has
been
sho
wn
to
alle
viate
battery
de
gradation
issues
[4],
[5].
Inducti
v
e
po
wer
transfer
(IPT)
wireless
char
gers
are
widely
adopted
across
v
arious
industries,
such
as
consumer
electronics
[6]–[8],
biomedical
implants
[9]–[11],
electric
bik
es
[5],
[12],
[13],
and
electric
v
ehicles
J
ournal
homepage:
http://ijpeds.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
654
❒
ISSN:
2088-8694
(EVs)
[4],
[14],
[15],
due
to
their
adv
antages
including
inherent
safety
,
lo
w
maintenance,
and
high
reliability
.
T
o
realize
CP
char
ging
in
wireless
systems,
e
xtensi
v
e
research
has
been
conducted.
A
common
method
is
incorporating
a
DC-DC
con
v
erte
r
on
either
the
input
or
output
side
to
re
gulate
v
oltage
or
current
[16],
[17].
Ho
we
v
er
,
this
additional
po
wer
con
v
ersion
stage
increases
system
cost,
po
wer
losses,
and
o
v
erall
comple
xity
.
T
o
a
v
oid
using
an
additional
DC-DC
con
v
ersion
stage,
se
v
eral
single-stage
CP
wireless
char
ging
solutions
ha
v
e
been
proposed.
F
or
e
xample,
single-stage
CP
wireless
char
gers
utilizing
series–series
(S–S)
compensation
netw
orks
ha
v
e
been
e
xplored
in
the
literature
[18]–[20].
Ho
we
v
er
,
S–S
compensated
wireless
char
gers
are
prone
to
generating
e
xcessi
v
e
current
under
the
coupler
misalignment
condition,
thereby
requiring
supplementary
safety
protection
mechanisms.
T
o
deal
with
this
safety
concern
in
wireless
po
wer
transfer
systems,
inductor
-capaci
tor
-capacitor
(LCC)
resonant
compensation
topologies,
such
as
LCC-series
(LCC-S)
and
double-sided
LCC
(DS-LCC),
ha
v
e
emer
ged
as
ef
fecti
v
e
solutions.
In
[5],
an
LCC-S
compensation
netw
ork
combined
with
pulse-density
modulation
(PDM)
w
as
emplo
yed
to
achie
v
e
CP
operation
and
ef
cienc
y
optimization.
Ho
we
v
er
,
this
char
ger
lacks
bidirectional
po
wer
transfer
capability
,
limiting
its
suitability
for
applications
aligned
with
the
Ener
gy
Internet
paradigm.
The
DS-LCC
compensation
topology
not
only
addresses
safety
concerns
b
ut
also
supports
bidirectional
po
wer
transfer
.
Owing
to
this
critical
adv
antage,
the
DS-LCC
topology
is
widely
used
in
IPT
systems
and
is
also
adopted
by
industry
standards
[21].
Ho
we
v
er
,
the
traditional
DS-LCC
wireless
char
ger
is
a
kind
of
CC
char
ger
only
.
T
o
enable
the
CP
char
ging
function
in
DS-LCC
wireless
char
gers,
author
in
[22]
proposed
a
DS-LCC
char
ger
incorporating
tw
o
switch-controlled
capacitors
(SCCs).
Whi
le
this
approach
successfully
achie
v
es
CP
char
ging,
the
dependence
on
multiple
SCCs
introduces
se
v
eral
dra
wbacks,
including
increased
component
costs
and
additional
po
wer
losses.
In
the
IPT
eld,
a
DS-LCC
wireless
char
ger
emplo
ying
a
triple-phase-shift
(TPS)
modulation
strate
gy
w
as
proposed
in
[23].
This
approach
enables
zero-v
oltage
switching
(ZVS)
o
v
er
a
wide
operating
range
without
the
use
of
an
y
SCCs,
resulting
in
a
simplied
circuit
structure
and
high
ef
cienc
y
.
Ho
we
v
er
,
the
system
is
not
capable
of
achie
ving
CP
char
ging
for
batteries.
This
paper
proposes
a
no
v
el
adapti
v
e
constant
po
wer
optimal
ef
cienc
y
control
(A
CPOEC)
strate
gy
for
a
DS-LCC
bidirectional
wireless
char
ger
.
The
A
CPOEC
strate
gy
is
b
uilt
upon
triple-phase-shift
(TPS)
modulation
and
emplo
ys
a
pre-computed
lookup
table
deri
v
ed
from
of
ine
optimization
to
achie
v
e
CP
char
ging
with
corresponding
optimal
ef
cienc
y
.
CP Charging Time
CC Charging Time
Power
Power
Battery
Voltage
Charging
Current
Time
(b)
(a)
Threshold
Voltage
Threshold Voltage
Time
Battery
Voltage
Charging
Current
CC Charging Time
T
i
m
e
s
a
v
e
d
Figure
1.
Comparison
between
(a)
CC
char
ging
and
(b)
CP
char
ging
2.
THE
WIRELESS
CP
CHARGER
WITH
THE
PR
OPOSED
A
CPOEC
STRA
TEGY
2.1.
Char
ging
system
structur
e
The
topology
of
the
bidirectional
DS-LCC
wireless
char
ging
system
is
illustrated
in
Figure
2.
On
the
primary
side,
an
in
v
erter
composed
of
four
MOSFETs
(
S
1
to
S
4
)
is
used
to
generate
the
A
C
v
oltage,
while
on
the
secondary
side,
an
acti
v
e
rectier
consisting
of
four
MOSFETs
(
S
5
to
S
8
)
is
emplo
yed
to
con
v
ert
the
A
C
current
into
DC
current.
The
compensation
netw
ork
includes
series
inductors
L
1
and
L
2
,
parallel
capacitors
C
1
and
C
2
,
series
compensation
capacitors
C
p
and
C
s
,
and
coil
self-inductances
L
p
and
L
s
.
The
C
O
is
a
DC-link
capacitor
on
the
secondary
side.
The
input
DC
v
oltage
and
battery
v
oltage
are
represented
by
V
1
and
V
2
.
The
in
v
erter’
s
output
v
oltage
and
current
are
labeled
as
u
ab
and
i
L
1
,
while
the
rectier’
s
input
v
oltage
and
current
are
denoted
by
u
cd
and
i
L
2
.
The
mutual
inductance
between
the
couplers
is
indicated
as
M
,
and
the
coupling
coef
cient
k
is
dened
by
k
=
M
/
p
L
p
L
s
.
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
1,
March
2026:
653–662
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
655
The
in
v
erter
output
v
oltage
is
denoted
as
u
ab
,
and
the
rectier
input
v
oltage
is
denoted
as
u
cd
.
V
ariables
u
p
and
u
s
represent
the
fundamental
components
of
u
ab
and
u
cd
,
respecti
v
ely
.
The
phase
dif
ference
between
u
p
and
u
s
is
denoted
by
δ
.
The
duty
c
ycles
of
u
ab
and
u
cd
are
represented
by
D
p
and
D
s
,
respecti
v
ely
.
T
o
f
acilitate
the
analysis
and
simplify
t
he
equations,
a
phase
shift
compensation
angle
∆
δ
is
dened
as
∆
δ
=
δ
−
π
2
.
The
optimum
phase
shift
∆
δ
,
denoted
as
∆
δ
opt
,
ensuring
that
all
switches
in
the
system
w
ork
under
ZVS,
according
to
[24],
is
e
xpressed
as
(1).
∆
δ
opt
=
−
D
S
π
2
+
cos
−
1
Λ
−
1
×
−
2
π
ω
L
1
L
2
I
ZVS
+
V
2
L
1
D
S
π
2
−
8
sin
2
(
D
S
π
2
)
!!
(1)
Where
Λ
=
8
M
V
1
sin
π
2
D
p
,
and
I
ZVS
is
the
predened
threshold
current
required
for
ZVS,
which
is
used
to
char
ge
and
dischar
ge
the
MOSFETs’
equi
v
alent
output
capacitance
duri
ng
the
dead
time.
Ne
glecting
losses
in
the
char
ger
,
the
transferred
po
wer
can
be
e
xpressed
as
(2).
P
=
M
ω
L
1
L
2
˙
U
P
˙
U
S
sin
π
2
+
∆
δ
(2)
V
1
S
1
M
S
3
S
2
S
4
D
5
D
6
D
7
D
8
S
7
S
8
L
1
C
P
C
1
L
P
L
S
C
S
C
2
L
2
C
O
i
L1
u
ab
i
L2
u
cd
I
O
V
2
+
-
S
5
S
6
c
+
d
-
a
+
b
-
i
LP
i
LS
Figure
2.
T
opology
of
the
bidirectional
DS-LCC
wireless
char
ger
2.2.
Coupling
coefcient
estimation
In
the
control
strate
gy
,
the
coupling
coef
cient
needs
to
be
estimated
to
achie
v
e
the
adapti
v
e
cont
rol.
A
coupling
coef
cient
estimation
method
is
de
v
eloped.
In
the
estimation
method,
switches
S
7
and
S
8
are
turned
on
to
force
u
cd
=
0
,
as
illustrated
in
Figure
3.
Ignoring
losses,
the
coupling
coef
cient
k
can
be
e
xpressed
as
a
function
of
I
L
2
as
(3).
I
L
2
=
k
p
L
p
L
s
·
U
ab
ω
L
1
L
2
.
(3)
Ob
viously
,
I
L
2
is
proportional
to
the
coupling
coef
cient
k
.
Therefore,
if
we
w
ant
to
estimate
the
coupling
coef
cient
k
,
we
can
measure
the
current
I
L
2
.
T
o
impro
v
e
accurac
y
,
I
L
2
can
be
e
xperimentally
measured
for
discrete
v
alues
of
k
,
allo
wing
the
creation
of
a
lookup
table
that
denes
the
relationship
between
I
L
2
and
k
.
This
lookup
table
can
then
be
utilized
by
the
controller
to
estimate
k
based
on
I
L
2
,
as
illustrated
in
Figure
3.
I
L
2
can
be
measured
at
discrete
v
alues
of
k
e
xperimentally
,
and
a
lookup
table
that
maps
the
relationship
between
I
L
2
and
k
can
be
b
uilt.
The
controller
can
subsequent
ly
use
this
lookup
table
to
estimate
k
based
on
the
m
easured
I
L
2
,
as
illustrated
in
Figure
3.
2.3.
A
CPOEC
strategy
f
or
CP
char
ging
The
A
CPOEC
strate
gy
implemented
in
the
proposed
CP
char
ger
is
illustrated
in
Figure
4.
In
this
strate
gy
,
the
controller
on
the
secondary
side
acquires
the
battery
v
oltage
V
2
and
retrie
v
es
the
optimal
control
v
ariables
under
this
V
2
in
the
lookup
table.
This
lookup
table
is
produced
by
the
of
ine
optimization
method
sho
wn
in
Figure
5,
which
is
e
xplained
in
the
ne
xt
section.
The
optimal
v
ariables
D
s
−
opt
and
∆
δ
opt
are
sent
to
pulse
generators
in
the
secondary
s
ide
controller
as
a
parameter
.
In
the
meantime,
the
secondary
controller
sent
optimal
duty
c
ycle
D
P
−
opt
to
the
primary
controller
by
wireless
communication.
The
optimum
v
ariable
can
mak
e
the
wireless
char
ger
achie
v
e
CP
char
gering
with
corresponding
optimum
ef
cienc
y
.
A
no
vel
adaptive
constant
power
optimal
ef
ciency
contr
ol
str
ate
gy
for
bidir
ectional
...
(Jiabo
Y
an)
Evaluation Warning : The document was created with Spire.PDF for Python.
656
❒
ISSN:
2088-8694
V
1
S
1
M
S
3
S
2
S
4
D
5
D
6
D
7
D
8
S
7
S
8
L
1
C
P
C
1
L
P
L
S
C
S
C
2
L
2
C
O
I
L1
u
ab
I
L2
u
cd
I
O
V
2
+
-
S
5
S
6
c
+
d
-
a
+
b
-
I
LP
I
LS
Lookup Tab
l
e
for
Esti
mat
i
n
g k
k
I
L2
Figure
3.
Diagram
of
coupling
coef
cient
estimation
W
i
rel
es
s
Comm
.
V
in
M
L
1
C
P
C
1
L
P
L
S
C
S
C
2
L
2
I
O
V
2
+
-
P
has
e
Sync
.
& Pu
l
se Ge
n.
Lookup
Tabl
e
D
s
_
o
pt
P
ul
s
e G
e
n.
D
p_
opt
D
p_
opt
Δδ
opt
k
Figure
4.
Proposed
control
strate
gy
2.4.
Ofine
optimization
appr
oach
The
optimum
v
ariables
in
the
lookup
table
are
generated
by
the
of
ine
optimization
approach.
The
goal
of
the
optimization
is
to
pick
the
optimal
control
v
ariables
that
maximize
ef
cienc
y
whi
le
ensuring
constant
po
wer
output
across
a
range
of
battery
v
oltages.
T
o
get
maximum
ef
cienc
y
,
loss
model
is
b
uilt
in
this
section.
The
total
po
wer
los
s
can
be
separated
into
losses
in
the
in
v
erter
,
losses
in
the
resonant
netw
ork,
and
losses
in
the
rectier
.
In
v
erter’
s
losses
include
conduction
losses
and
switching
losses.
Since
all
switches
achie
v
e
ZVS,
the
switching
losses
are
v
ery
tin
y
and
can
be
omitted
in
the
o
v
erall
po
wer
loss
optimization
[23].
The
losses
in
the
in
v
erter
can
be
e
xpressed
as
(4).
P
in
v
=
2
R
ON
I
2
L
1
(4)
Similarly
,
the
losses
from
the
rectier
are
e
xpressed
as
(5).
P
rec
=
2
R
ON
I
2
L
2
(5)
Losses
in
the
resonant
circuit
are
e
xpressed
as
(6).
P
res
=
I
2
p
R
L
1
+
I
2
s
R
L
2
+
I
2
LP
(
R
LP
+
R
C
P
)
+
I
2
LS
(
R
LS
+
R
C
S
)
+
I
2
C
1
R
C
1
+
I
2
C
2
R
C
2
(6)
Here,
R
C
P
,
R
C
S
,
R
C
1
,
and
R
C
2
refer
to
the
equi
v
alent
series
resistances
(ESRs)
of
the
capacitors
C
P
,
C
S
,
C
1
,
and
C
2
,
respecti
v
ely
.
Thereby
,
the
total
losses
in
the
char
ger
can
be
e
xpressed
as
(7).
P
l
=
P
in
v
+
P
rec
+
P
res
(7)
W
ith
the
loss
model
b
uilt
abo
v
e,
the
of
ine
optimization
method
is
proposed,
as
illustrated
in
Figure
5.
The
process
in
v
olv
es
the
follo
wing
steps:
(i)
Initialization:
Pro
vide
system
parameters,
lik
e
input
v
oltage
V
1
,
the
range
of
coupling
coef
cients
k
min
and
k
max
,
and
the
range
of
battery
v
oltages
V
2min
and
V
2max
,
the
reference
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
1,
March
2026:
653–662
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
657
po
wer
P
ref
;
(ii)
Discretizing
coupling
coef
cient
k
:
Sample
the
coupling
coef
cient
k
o
v
er
its
predened
range
using
an
appropriate
step
size;
(iii)
Discretizing
battery
v
oltage
V
2
:
Sample
the
battery
v
oltage
V
2
o
v
er
its
predened
range
with
an
appropriate
step
size;
(i
v)
Control
v
ariable
searching
for
CP
char
ging:
If
the
calculated
po
wer
matches
the
reference
po
wer
P
ref
within
a
specied
tolerance
e
,
the
corresponding
control
v
ariables
are
retained.
If
both
D
P
and
D
S
already
reach
the
maximum
v
alue
of
1
and
the
transferred
po
wer
still
does
not
meet
P
ref
,
the
combination
D
P
=
D
S
=
1
and
the
associated
∆
δ
opt
are
preserv
ed
to
track
the
maximum
deli
v
erable
po
wer
with
optimal
ef
cienc
y
.
Input
V
1
,P
r
e
f
,V
2
,
k
Search the duty
cycles
D
p,
Ds
from
0
to
1(e.g.
step
=
0.01
)
Calculate
∆
δ
O
p
t
using (2)
Calculate
P
using (3)
Calculate
P
l
using (12)
|
P
-
P
re
f
|
<
e
(e.g.
e=
0.5
W)
or
D
p,
Ds
=1,but still no result
?
Ye
s
No
P
l_
N
e
w
<
P
l_
o
l
d
?
Keep
P
l_
N
e
w
and its
relevant
variables
Keep
P
l
_
o
l
d
and its
relevant
variables
Ye
s
No
Reached the exhaustive
limit?
No
Ye
s
Output the minimum
P
l
and its
relevant variables
{
D
s
_
o
p
t
,
∆
δ
o
p
t
}under the
V
2
Start
Input system
parameters
,
V
1
,P
r
e
f
,V
2
m
i
n
,V
2
m
a
x
,
k
m
i
n
,
k
m
a
x
,
Sample
V
2
from
V
2
m
i
n
to
V
2
m
a
x
(e.g.
step
=
1V
)
Find the minimum
P
l
and
its
relevant variables
{
D
p
,
Ds,
∆
δ
}under the
V
2
and
k
Finished sampling all
V
2
?
Find the minimum
P
l
and its
relevant
variables{
D
p
_
o
p
t
,
D
s
_
o
p
t
,
∆
δ
o
p
t
}
under all
V
2
a
n
d
k
condition
.
Output
V
2
,
k ,
and
the
relevant optimal
variables{
D
p
_
o
p
t
,
D
s
_
o
p
t
,
∆
δ
o
p
t
}
No
Ye
s
Sample
k
from
k
m
i
n
to
k
m
a
x
(e.g.
step
=
0.0074
)
Finished sampling all
k
?
Ye
s
No
Figure
5.
Flo
wchart
for
obtaining
the
optimal
v
ariables
3.
SIMULA
TION
RESUL
TS
AND
DISCUSSION
3.1.
Specications
The
performance
of
the
proposed
wireles
s
char
ger
is
v
alidated
through
simulations
conducted
in
MA
TLAB/Simulink.
The
parameters
are
designed
based
on
the
guidelines
pro
vided
in
[1],
and
all
details
are
sho
wn
in
T
able
1.
3.2.
Simulation
r
esults
under
alignment
condition
In
the
simulation,
the
coupling
coef
cient
is
set
as
0.302,
and
the
battery
v
oltage
is
swept
from
72
V
to
109
V
.
As
sho
wn
in
Figure
6,
the
output
po
wer
generally
remains
constant
within
the
range
of
210
W
to
217
W
.
The
system
maintains
e
f
cienc
y
between
90.72%
and
92.46%
throughout
the
entire
cha
r
gi
ng
process.
The
proposed
char
ger
deli
v
ers
competiti
v
e
ef
cienc
y
performance
when
compared
with
other
state-of-the-art
A
no
vel
adaptive
constant
power
optimal
ef
ciency
contr
ol
str
ate
gy
for
bidir
ectional
...
(Jiabo
Y
an)
Evaluation Warning : The document was created with Spire.PDF for Python.
658
❒
ISSN:
2088-8694
CP
wireless
char
ging
systems,
as
detailed
in
T
able
2.
The
wireless
char
ger
with
the
proposed
control
strate
gy
can
mak
e
sure
all
of
the
switches
al
w
ays
w
ork
in
ZVS
conditions
during
the
char
ging
process.
The
w
a
v
eforms
of
the
in
v
erter
output
v
oltage
u
ab
and
the
corresponding
output
current
I
L
1
are
presented
in
Figure
7(a),
whil
e
Figure
7(b)
sho
ws
the
rectier
input
v
oltage
u
cd
and
input
current
I
L
2
under
a
battery
v
oltage
condition
of
V
2
=
109
V.
T
able
1.
P
arameters
of
the
wireless
char
ger
V
ariable
Speed
(rpm)
Po
wer
(kW)
V
1
Input
DC
v
oltage
73.5
V
V
2
Output
battery
v
oltage
72
V
–
109
V
k
Coupling
coef
cient
0.262
–
0.302
L
P
,
L
S
T
ransmitting/recei
ving
coil
inductance
111
µH
R
Lp
,
R
Ls
T
ransmitting/recei
ving
coil
resistance
100
m
Ω
L
1
,
L
2
Primary/secondary
compensation
inductance
35.2
µH
R
L
1
,
R
L
2
Primary/secondary
inductor
resistance
100
m
Ω
C
1
,
C
2
Primary/secondary
parallel
capacitance
115
nF
C
P
,
C
S
Primary/secondary
series
capacitance
53.5
nF
R
C
1
,
R
C
2
Primary/secondary
parallel
capacitance
ESR
100
m
Ω
R
C
p
,
R
C
s
Primary/secondary
series
capacitance
ESR
100
m
Ω
R
ON
MOSFET
on-state
resistance
100
m
Ω
f
=
ω
2
π
Switching
frequenc
y
79
kHz
I
ZVS
Threshold
ZVS
current
2
A
P
ref
Reference
po
wer
230
W
7
0
7
5
8
0
8
5
9
0
9
5
1
0
0
1
0
5
1
1
0
0
5
0
1
0
0
1
5
0
2
0
0
2
5
0
3
0
0
P
o
u
t
(
W
)
P
o
u
t
(
W
)
η
(
%
)
V
2
(
V
)
8
5
.
0
8
7
.
5
9
0
.
0
9
2
.
5
9
5
.
0
9
7
.
5
1
0
0
.
0
η
(
%
)
V
o
(
V
)
Figure
6.
Output
po
wer
P
o
,
and
ef
cienc
y
η
v
ersus
the
dif
ferent
battery
v
oltage
V
2
when
alignment
condition
T
able
2.
Features
comparison
between
the
pre
vious
single-stage
CP
char
gers
and
this
w
ork
Dif
ferent
w
orks
and
published
year
2020
[19]
2022
[20]
2022
[22]
2024
[5]
This
w
ork
T
ype
of
compensation
netw
ork
S-S
S-S
DS-LCC
LCC-S
DS-LCC
No
e
xtra
auxiliary
SCC
No
Y
es
No
Y
es
Y
es
Ef
cienc
y
optimization
Y
es
Y
es
No
Y
es
Y
es
No
lar
ge
current
issue
when
misalignment
No
No
Y
es
Y
es
Y
es
Bidirectional
operation
No
Y
es
No
No
Y
es
No
noticeable
current
uctuation
Y
es
Y
es
Y
es
No
Y
es
Constant
operating
frequenc
y
Y
es
No
Y
es
Y
es
Y
es
DC
to
DC
ef
cienc
y
88.8%
87.9%
91.5%
89.8%
92.46%
3.3.
Discussion
on
misalignment
condition
T
o
kno
w
the
performance
of
the
wireless
char
ger
under
misalignment
conditions
using
the
proposed
control
strate
gy
,
a
si
mulation
w
as
conducted
with
the
coupling
coef
cient
reduced
to
0.262.
The
output
po
wer
and
ef
cienc
y
v
ersus
battery
v
oltage
are
illustrated
in
F
igure
8.
As
observ
ed,
the
ef
cienc
y
remains
high,
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
1,
March
2026:
653–662
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
659
ranging
from
91.12%
to
92.45%,
e
v
en
under
misaligned
conditions.
The
output
po
wer
is
maintained
between
190.42
W
and
217.56
W
.
When
the
output
v
oltage
V
2
is
in
the
lo
wer
range,
a
drop
in
output
po
wer
is
observ
ed.
This
is
attrib
uted
to
the
reduced
maximum
po
wer
transfer
capability
of
the
DS
-LCC
char
ger
at
lo
wer
coupling
coef
cients.
Ne
v
ertheless,
the
proposed
control
strate
gy
enables
the
wireless
char
ger
to
ef
fecti
v
ely
track
the
maximum
po
wer
point
while
maintaining
optimal
ef
cienc
y
.
When
the
coupler
is
properly
designed,
the
v
ariation
of
the
coupling
coef
cient
k
is
typically
conned
to
a
narro
w
range
[25].
Therefore,
the
impact
of
misalignment
on
the
output
po
wer
of
the
wireless
char
ger
is
relati
v
ely
limited.
u
ab
I
L1
ZVS
u
cd
I
L2
ZVS
a
b
(a)
u
ab
I
L1
ZVS
u
cd
I
L2
ZVS
a
b
(b)
Figure
7.
W
a
v
eforms
of
(a)
the
in
v
erter’
s
output
v
oltage
u
ab
and
current
i
L
1
,
(b)
the
rectier’
s
input
v
oltage
u
cd
and
current
i
L
2
when
V
2
=
109
V
7
0
7
5
8
0
8
5
9
0
9
5
1
0
0
1
0
5
1
1
0
0
5
0
1
0
0
1
5
0
2
0
0
2
5
0
3
0
0
P
o
u
t
(
W
)
P
o
u
t
(
W
)
η
(
%
)
V
2
(
V
)
8
5
.
0
8
7
.
5
9
0
.
0
9
2
.
5
9
5
.
0
9
7
.
5
1
0
0
.
0
η
(
%
)
V
o
(
V
)
Figure
8.
Output
current
I
o
,
and
ef
cienc
y
η
v
ersus
the
dif
ferent
battery
v
oltage
V
2
in
simulation
4.
CONCLUSION
This
paper
proposed
an
adapti
v
e
constant
po
wer
optimal
ef
cienc
y
control
(A
CPOEC)
strate
gy
for
a
bidirectional
double-sided
LCC
(DS-LCC)
wireless
po
wer
transfer
char
ger
.
The
proposed
approach
inte
grates
triple-phase-shift
(TPS)
modulation
with
an
of
ine
optimization
procedure
and
a
precomputed
lookup
table
to
re
gulate
the
cont
rol
v
ariables,
enabling
constant-po
wer
char
ging
while
maintaining
high
ef
cienc
y
o
v
er
a
wide
battery
v
oltage
range.
In
addition,
a
coupli
ng
coef
cient
estimation
method
based
on
current
measurement
is
introduced
to
allo
w
adapti
v
e
control
under
v
arying
magnetic
coupling
conditions.
By
eliminating
the
need
for
switch-controlled
capacitors,
the
proposed
method
simplies
the
circuit
topology
and
reduces
additional
component
losses
while
preserving
bidirectional
po
wer
transfer
capability
.
Simulation
results
demonstrate
that
the
wireless
char
ger
can
maintain
nearly
constant
output
po
wer
throughout
the
char
ging
process
while
achie
ving
high
ef
cienc
y
in
the
range
of
approximately
90–92%.
Furthermore,
all
switching
de
vices
operate
under
zero-v
oltage
switching
conditions,
which
contrib
utes
to
reduced
switching
losses
and
impro
v
ed
o
v
erall
A
no
vel
adaptive
constant
power
optimal
ef
ciency
contr
ol
str
ate
gy
for
bidir
ectional
...
(Jiabo
Y
an)
Evaluation Warning : The document was created with Spire.PDF for Python.
660
❒
ISSN:
2088-8694
system
ef
cienc
y
.
The
performance
of
the
proposed
strate
gy
w
as
also
e
v
aluated
under
both
alignment
and
misalignment
conditions.
The
results
indicate
that
the
system
maintains
stable
po
wer
transfer
and
high
ef
cienc
y
despite
v
ariations
in
the
coupling
coef
cient,
demonstrating
the
rob
ustness
of
the
proposed
control
scheme.
These
characteristics
mak
e
the
proposed
A
CPOEC-based
wireless
char
ger
a
promising
solution
for
practical
inducti
v
e
po
wer
transfer
applications,
particularly
in
systems
requiring
ef
cient,
bidirectional,
and
reliable
wireless
char
ging.
Future
w
ork
will
focus
on
hardw
are
implementation
and
e
xperimental
v
alidation
to
further
in
v
estig
ate
the
practical
performance
and
dynamic
beha
vior
of
the
proposed
control
strate
gy
.
FUNDING
INFORMA
TION
The
authors
sincerely
thank
the
nancial
support
from
the
Ministry
of
Higher
Education
through
Uni
v
ersiti
T
eknologi
Malaysia
for
the
High-T
ech
Research
Grant
(V
ote
No.
Q.J130000.4623.00Q21)
and
the
Professional
De
v
elopment
Research
Uni
v
ersity
Grant
(V
ote
No.
Q.J130000.21A2.07E30).
The
authors
also
gratefully
ackno
wledge
the
support
from
the
Guangxi
Zhuang
Autonomous
Re
gion
Basic
Research
Capacity
Impro
v
ement
Project
for
Uni
v
ersities’
Y
oung
and
Middle-aged
T
eachers
(Project
No.
2024KY1879).
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
Jiabo
Y
an
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
Mohd
Junaidi
Abdul
Aziz
✓
✓
✓
✓
✓
✓
✓
Nik
Rumzi
Nik
Idris
✓
✓
✓
✓
✓
✓
Mohammad
Al
T
akrouri
✓
✓
✓
T
ole
Sutikno
✓
✓
✓
✓
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
The
authors
declare
that
the
y
ha
v
e
no
kno
wn
competing
nancial
interests
or
personal
relat
ionships
that
could
ha
v
e
appeared
to
inuence
the
w
ork
reported
in
this
paper
.
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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BIOGRAPHIES
OF
A
UTHORS
Jiabo
Y
an
recei
v
ed
the
M.Sc.
de
gree
in
transportation
engineering
from
Nanjing
Uni
v
ersity
of
Aeronautics
and
Ast
ronautics
(NU
AA),
China,
in
2019.
He
is
currently
pursuing
the
Ph.D.
de
gree
in
electrical
engineering
with
Uni
v
ersiti
T
eknologi
Malaysia
(UTM).
Since
2022,
he
has
been
with
the
Colle
ge
of
T
raf
c
and
T
ransportati
on,
Nanning
Uni
v
ersity
,
Nanning,
China,
where
he
is
currently
a
lecturer
.
His
current
research
interests
include
po
wer
electronics,
electric
v
ehicles,
and
wireless
po
wer
transfer
.
He
can
be
contacted
at
email:
felixyan8051@foxmail.com.
A
no
vel
adaptive
constant
power
optimal
ef
ciency
contr
ol
str
ate
gy
for
bidir
ectional
...
(Jiabo
Y
an)
Evaluation Warning : The document was created with Spire.PDF for Python.
662
❒
ISSN:
2088-8694
Mohd
J
unaidi
Abdul
Aziz
w
as
born
in
K
uala
T
erengg
anu,
Malaysia,
in
1979.
He
recei
v
ed
the
B.S.
and
M.S.
de
gre
es
in
electrical
engineering
from
Uni
v
ersiti
T
eknologi
Malaysia
(UTM),
K
uala
Lumpur
,
Malaysia,
in
2000
and
2002,
re
specti
v
ely
,
and
the
Ph.D.
de
gree
in
electrical
engineering
from
the
Uni
v
ersity
of
Nottingham,
Nottingham,
England,
U.K.,
in
2008.
Si
nce
2008,
he
has
been
with
the
F
aculty
of
Electrical
Engineering,
UTM,
where
he
is
currently
an
associate
professor
and
head
of
Po
wer
Electronics
and
Dri
v
e
Research
Group
(PEDG).
His
current
res
earch
interests
include
po
wer
electronics
and
electric
v
ehicles,
wi
th
a
specia
l
focus
on
battery
managem
ent
systems.
He
can
be
contacted
at
email:
junaidi@utm.my
.
Nik
Rumz
i
Nik
Idris
recei
v
ed
the
B.Eng.
de
gree
in
electrical
engineering
from
the
Uni
v
ersity
of
W
ollongong,
Austral
ia,
in
1989,
the
M.Sc.
de
gree
in
po
wer
electronics
from
Bradford
Uni
v
ersity
,
U.K.,
in
1993,
and
the
Ph.D.
de
gree
from
Uni
v
ersiti
T
eknologi
Malaysia
(UTM),
in
2000.
He
is
currently
a
professor
with
the
F
aculty
of
Electrical
Engineering,
UTM,
and
an
associate
editor
of
IEEE
T
ransactions
on
Po
wer
Electronics.
Pre
viously
,
he
chaired
t
he
IEEE
Po
wer
Electronics
Malaysia
Chapter
(2014–2016).
His
research
interests
include
A
C
dri
v
e
systems
and
DSP
applications
in
po
wer
electronics.
He
can
be
contacted
at
email:
nikrumzi@fk
e.utm.my
.
Mohammad
Al
T
akr
ouri
w
as
born
in
Jeddah,
Saudi
Arabia,
on
M
ay
1995.
He
recei
v
ed
a
bachelor’
s
de
gree
in
electrical
engineering
from
Al-Ahliyya
Amman
Uni
v
ersity
,
Amman.
Later
in
2020,
he
obtained
his
graduate
de
gree
in
electrical
engineering
(cum
laude)
from
Politecnico
di
Milano
uni
v
ersity
,
Italy
.
He
is
c
urrently
w
orking
to
w
ards
his
Ph.D.
in
Uni
v
ersiti
T
eknologi
Malaysia
on
ener
gy
management
strate
gies
and
control
for
h
ybrid
ener
gy
storage
systems.
He
can
be
contacted
at
email:
takrouri.moh@graduate.utm.my
.
T
ole
Sutikno
is
a
lecturer
and
the
Head
of
the
master’
s
program
of
Electrical
Enginee
ring
at
the
F
aculty
of
Industrial
T
echnology
at
Uni
v
ersitas
Ahmad
Dahlan
(U
AD)
in
Y
ogyakarta,
Indonesia.
He
recei
v
ed
his
Bachelor
of
Engineering
from
Uni
v
ersitas
Dipone
goro
in
1999,
Master
of
Engineering
from
Uni
v
ersitas
Gadj
ah
Mada
in
2004,
and
Doctor
of
Philosoph
y
in
Electrical
Engineering
from
Uni
v
ersiti
T
eknologi
Malaysia
in
2016.
All
three
de
grees
are
in
Electrical
Engineering.
He
has
been
a
Professor
at
U
AD
in
Y
ogyakarta,
Indonesia,
since
July
2023,
follo
wing
his
tenure
as
an
associate
professor
in
June
2008.
He
is
the
Editor
-in-Chie
f
of
TELK
OMNIKA
and
head
of
the
Embedded
Systems
and
Po
wer
Electronics
Research
Group
(ESPERG).
He
is
one
of
the
top
2%
of
re
searchers
w
orldwide,
according
to
Stanford
Uni
v
ersity
and
Else
vier
BV’
s
list
of
the
most
inuential
scientists
from
2021
to
the
present.
His
research
interests
co
v
er
digital
design,
industrial
applications,
industrial
electronics,
industrial
informatics,
po
wer
electronics,
motor
dri
v
es,
rene
w
able
ener
gy
,
FPGA
applications,
embedded
systems,
articial
intelligence,
intelligent
control,
digital
libraries,
and
information
technology
.
He
can
be
contacted
at
email:
tole@te.uad.ac.id.
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
1,
March
2026:
653–662
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