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.
991
∼
1007
ISSN:
2088-8694,
DOI:
10.11591/ijpeds.v17.i2.pp991-1007
❒
991
Optimal
selection
of
curr
ent
contr
ol
technique
in
multiphase
DC-DC
con
v
erters
f
or
dynamic
load
v
ariations
H.
Swathi
Hatwar
1,2
,
K.
Suryanarayana
1,2
,
Anup
Shetty
1
1
Department
of
Electrical
and
Electronics
Engineering,
NMAM
Institute
of
T
echnology
(NMAMIT),
Nitte
(Deemed
to
be
Uni
v
ersity),
Nitte,
India
2
V
isv
esv
araya
T
echnological
Uni
v
ersity
,
Belag
a
vi,
India
Article
Inf
o
Article
history:
Recei
v
ed
Oct
2,
2025
Re
vised
Mar
5,
2026
Accepted
Apr
23,
2026
K
eyw
ords:
Current
balance
Current
sampling
DC-DC
con
v
erter
Dual
control
loop
Interlea
v
ed
con
v
erter
MCU
based
control
W
ide
bandg
ap
de
vice
ABSTRA
CT
Multiphase
DC-DC
con
v
erters
are
widely
adopted
in
high-po
wer
applications
such
as
electric
v
ehicles
(EVs)
and
rene
w
able
ener
gy
systems
due
to
their
ability
to
reduce
current
ripple,
impro
v
e
ef
cienc
y
,
and
distrib
ute
thermal
stress
across
multiple
phases.
Ho
we
v
er
,
under
dynamic
load
v
ariations,
mismatches
in
passi
v
e
components,
de
vice
parameters,
parasitic
elements,
and
thermal
ef
f
ects
can
result
in
phase
current
imbalance.
This
imbalance
de
grades
transient
performance,
increases
circulating
currents,
and
reduces
o
v
erall
system
reliability
.
Therefore,
selecting
an
appropriate
current
control
str
ate
gy
is
essential
to
ensure
accurate
current
sharing
and
stable
output
v
oltage
re
gulation
under
v
arying
operating
conditions.
This
paper
presents
a
comparati
v
e
study
and
selection
methodol
ogy
for
current
control
techniques
for
MCU-based
interlea
v
ed
DC-
DC
con
v
erters.
V
arious
current
control
strate
gies
are
e
v
aluated
in
terms
of
dynamic
response,
steady-state
current
sharing
accurac
y
,
implementation
comple
xity
,
and
embedded
feasibility
.
A
1
kW
,
36
V
-12
V
three-phase
interlea
v
ed
b
uck
con
v
erter
using
Gallium
Nitride
de
vices
i
s
modeled
in
MA
TLAB/Simulink
and
v
alidated
through
hardw
are
e
xpe
rimentation.
The
comparati
v
e
results
highlight
the
trade-of
f
s
among
transi
ent
performance,
curr
ent
balancing
accurac
y
,
scalability
,
and
embedded
im
plementation
comple
xity
,
pro
viding
a
structured
basis
for
selecting
an
appropriate
current
control
technique
as
per
application
requirements.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
K.
Suryanarayana
Department
of
Electrical
and
Electronics
Engineering,
NMAM
Institute
of
T
echnology
(NMAMIT)
Nitte
(Deemed
to
be
Uni
v
ersity)
Nitte
-
574110,
India
Email:
suryanarayana@nitte.edu.in
1.
INTR
ODUCTION
The
rapid
electrication
of
transportation,
dri
v
en
by
stringent
emission
re
gulations
and
t
he
global
transition
to
w
ard
sustainable
ener
gy
,
has
signicant
ly
increased
the
demand
for
high-ef
cienc
y
and
high-po
wer
-density
con
v
ersion
systems.
In
electric
v
ehicles
and
h
ybrid
ener
gy
platforms,
DC-DC
con
v
erters
play
a
critical
role
in
stepping
do
wn
high-v
oltage
battery
le
v
els
to
re
gulated
lo
w-v
oltage
b
uses,
supplying
auxiliary
loads,
and
managing
bidirectional
ener
gy
o
w
between
storage
elements
and
po
wer
electronic
subsystems.
As
these
applications
require
impro
v
ed
ef
cienc
y
,
high
po
wer
density
,
and
f
ast
transient
response
under
dynamic
load
conditions,
interlea
v
ed
multiphase
DC-DC
con
v
erters
ha
v
e
emer
ged
as
a
preferred
solution
[
1
].
By
distrib
uting
the
load
current
across
multiple
phases
with
phas
e-shifted
operation,
these
con
v
erters
J
ournal
homepage:
http://ijpeds.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
992
❒
ISSN:
2088-8694
achie
v
e
reduced
input
and
output
current
ripple,
lo
wer
ltering
requirements,
impro
v
ed
thermal
distrib
ution,
enhanced
dynamic
performance,
and
reliable
po
wer
deli
v
ery
under
v
arying
operating
conditions
[2]–[4].
Such
con
v
erters
typically
emplo
y
a
hierarchical
control
architecture
consisting
of
an
outer
v
oltage
loop
for
output
re
gulation
and
an
inner
current
loop
for
inductor
current
control
and
phase
current
sharing.
Current
control
in
DC-DC
con
v
erters
is
commonly
realized
using
techniques
such
as
peak
current
mode
control
(PCMC)
and
a
v
erage
current
mode
control
(A
CMC).
PCMC
is
widely
adopted
in
single-phase
b
uck
and
boost
con
v
erters,
where
it
enables
direct
inductor
current
re
gulation
and
c
ycle-
b
y-
c
ycle
current
monitoring
[
5
].
A
CMC
is
frequently
implemented
in
multiphase
con
v
erters,
po
wer
f
actor
correction
(PFC)
systems,
and
battery
char
ging
applications,
where
a
v
erage
inductor
current
re
gulation
supports
controlled
po
wer
deli
v
ery
and
coordinated
phase
operation
[
6
],
[
7
].
W
ithin
A
CMC-based
multi
phase
systems,
v
arious
strate
gies
such
as
unied
control,
indi
vidual
phase
control,
and
sensorless
current
control
techniques
ha
v
e
been
proposed
to
re
gulate
and
distrib
ute
phase
currents
ef
fecti
v
ely
[
8
]–[
11
].
These
approaches
pro
vide
structured
frame
w
orks
for
implementing
current
sharing
and
re
gulation
in
digitally
controlled
multiphase
con
v
erters.
W
ith
the
adoption
of
wide-bandg
ap
(WBG)
de
vices,
control
design
considerations
are
chal
lenging
to
accommodate
their
high-speed
switching
capabilities.
The
material
properties
of
WBG
de
vices
enable
operation
in
the
MHz
switching
frequenc
y
range,
of
fering
high
ef
cienc
y
,
f
ast
transient
response,
reduced
passi
v
e
component
size,
and
i
ncreased
po
wer
density
[
12
]–[
14
].
These
characteristics
necessitate
appropriately
designed
current
re
gulation
strate
gies
capable
of
operating
at
ele
v
ated
switchi
ng
frequencies
with
precise
timing
coordination.
Digital
control
of
WBG-based
con
v
erters
can
be
implemented
using
platforms
such
as
eld
programmable
g
ate
arrays
(FPGAs),
microcontrollers
(MCUs),
and
digital
signal
processors
(DSPs).
FPGA-based
solutions
f
acilitate
high-speed
control
e
x
ecution
and
e
xible
digital
architecture
design
[
15
],
[
16
].
MCU
and
DSP-based
implementations
pro
vide
inte
grated
peripheral
s,
programmable
control
loops,
and
streamlined
system
inte
gration,
making
them
widely
adopted
in
industrial
po
wer
electronic
applications.
Careful
design
of
digital
current
control
algorithms,
sampling
strate
gies,
interrupt
management,
and
peripheral
conguration
plays
a
k
e
y
role
in
achie
ving
ef
fecti
v
e
implementation
in
WBG-based
multiphase
con
v
erters.
In
practical
implementations,
mismatches
in
passi
v
e
components,
parasitic
resistances,
de
vice
characteristics,
g
ate
dri
v
er
timing,
and
PCB
layout
asymmetry
can
lead
to
non-uniform
phase
currents.
Sampling
delays,
digital
control
discretiza
tion,
and
dynamic
load
v
ariations
can
furt
her
e
xacerbate
this
imbalance.
Persistent
current
mismatch
results
in
localized
thermal
hotspots,
une
v
en
switching
and
conduction
stress,
accelerated
de
vice
ageing,
reduced
ef
cienc
y
,
and
compromised
long-term
reliability
of
the
con
v
erter
system.
T
o
mitig
ate
the
current
imbalance,
se
v
eral
A
CMC-based
strate
gies
ha
v
e
been
proposed
in
the
literature,
demonstrated
through
analytical
studies,
simulations,
or
FPGA-based
digital
implementations,
where
e
xible
control
architecture
and
parallel
processing
capabilities
can
be
realized.
In
contrast,
industrial
multiphase
DC-DC
con
v
erters
are
predominantly
implemented
using
MCUs
and
DSPs,
o
wing
to
their
inte
grated
peripherals,
compact
architecture,
streamlined
rm
w
are
de
v
elopment,
and
suitability
for
cost-ef
f
ecti
v
e
deplo
yment.
Ho
we
v
er
,
a
systematic
e
xperimental
e
v
aluation
of
dif
f
erent
A
CMC-based
current
balancing
strate
gies
implemented
on
a
resource-constrained
MCU
platform
under
identical
operating
conditions
has
not
been
comprehensi
v
ely
reported.
This
study
aims
to
demonstrate
the
adv
antages
and
potential
dra
wbacks
of
each
approach
in
practical
applications,
pro
viding
insights
into
their
implementation
and
impact
on
the
con
v
erter
performance.
T
o
systematically
address
the
current
imbalance
in
practical
implementations,
this
paper
in
v
es
tig
ates
unied,
indi
vidual,
and
decoupled
current
imbalance
control
techniques
in
a
three-phase
interlea
v
ed
b
uck
con
v
erter
using
an
MCU-based
digital
signal
controller
.
The
study
focuses
on
mitig
ating
the
current
imbalance
under
both
steady-state
and
dynamic
load
conditions.
Comprehensi
v
e
simulation
and
e
xperimental
v
alidation
are
conducted
on
a
1
kW
,
36
V
-12
V
GaN-based
prototype
to
e
v
aluate
current
sharing
performance
and
real-time
digital
implementation
aspects
of
each
control
strate
gy
.
2.
METHOD
This
section
presents
the
detailed
mathematical
modeling
of
the
three-phase
interlea
v
ed
DC-DC
con
v
erter
.
A
state-space
approach
is
emplo
yed
to
deri
v
e
the
small-signal
transfer
function.
Current
control
strate
gies
for
impro
ving
dynamic
and
steady-state
performance
are
analyzed.
The
o
v
erall
system
design
and
control
implementation
are
described.
F
or
real-time
realization,
the
MCU-based
current
sampling
and
control
algorithm
e
x
ecution
o
w
is
presented.
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
991–1007
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
993
2.1.
Mathematical
modelling
of
interlea
v
ed
con
v
erter
In
an
interlea
v
ed
b
uck
topology
,
multiple
b
uck
con
v
erters
operate
in
parallel
with
a
phase
shift
between
the
switching
signals,
thereby
distrib
uting
the
load
current
among
the
phases.
The
circuit
diagram
of
the
three-phase
interlea
v
ed
synchronous
b
uck
con
v
erter
considering
parasitic
elements
i
s
sho
wn
in
Figure
1(a).
In
the
interlea
v
ed
topology
,
the
phase
angle
between
each
phase
w
as
determined
by
the
number
of
phases.
Using
the
relationship
360
◦
/N
(where
N
is
the
number
of
phases)
for
a
three-phase
interlea
v
ed
topology
,
the
phase
angle
dif
ference
between
each
phase
is
120
◦
.
F
or
con
v
erter
analysis,
uniform
loss
components
and
equal
per
-phase
inductances
are
considered
as
gi
v
en
in
(1)
-
(3)
.
F
or
the
switching
period
T
s
,
the
con
v
erter
operates
in
six
distinct
modes,
as
depicted
in
Figure
1(b)
with
tw
o
top-switches
and
an
opposite
phase
bottom
switch
ON
in
3
modes
and
an
y
one
top
switch
and
the
other
tw
o
phases
bottom
switches
ON
in
the
remaining
3
modes
of
operation.
L
1
=
L
2
=
L
3
=
L
(1)
R
L
1
=
R
L
2
=
R
L
3
=
R
L
(2)
R
ds
1
T
=
R
ds
2
T
=
R
ds
3
T
=
R
ds
1
B
=
R
ds
2
B
=
R
ds
3
B
=
R
ds
(3)
The
state
equations
for
inductor
and
capacitor
and
output
equation
in
mode
1,
3
and
5
(an
y
tw
o
top
switches
are
ON)
could
be
written
as
in
(4)-(6).
L
di
L
(
t
)
dt
=
2
V
g
(
t
)
−
R
ds
+
R
L
+
3
R
R
c
R
+
R
c
i
L
(
t
)
−
3
R
R
+
R
c
v
c
(
t
)
(4)
C
dv
c
(
t
)
dt
=
R
R
+
R
c
i
L
(
t
)
−
1
R
+
R
c
v
c
(
t
)
(5)
v
(
t
)
=
R
R
c
R
+
R
c
i
L
(
t
)
+
R
R
+
R
c
v
c
(
t
)
(6)
The
state
equations
for
inductor
and
capacitor
,
and
output
equations
in
mode
2,
4
and
6
(only
one
of
the
top
switch
is
ON)
could
be
written
as
in
(7)-(9).
L
di
L
(
t
)
dt
=
V
g
(
t
)
−
R
ds
+
R
L
+
3
R
R
c
R
+
R
c
i
L
(
t
)
−
3
R
R
+
R
c
v
c
(
t
)
(7)
C
dv
c
(
t
)
dt
=
R
(
R
+
R
c
)
i
L
(
t
)
−
1
R
+
R
c
v
c
(
t
)
(8)
v
(
t
)
=
R
R
c
R
+
R
c
i
L
(
t
)
+
R
R
+
R
c
v
c
(
t
)
(9)
(a)
(b)
Figure
1.
Three-phase
interlea
v
ed
b
uck
con
v
erter:
(a)
mathematical
model
and
(b)
timing
diagram
Optimal
selection
of
curr
ent
contr
ol
tec
hnique
in
multiphase
DC-DC
con
verter
s
for
...
(H.
Swathi
Hatwar)
Evaluation Warning : The document was created with Spire.PDF for Python.
994
❒
ISSN:
2088-8694
From
the
timing
diagram,
the
con
v
erter
operates
in
modes
1,
3,
and
5
for
a
duration
of
(
2
3
−
d
′
)
,
and
in
modes
2,
4,
and
6
for
a
duration
of
(
d
′
−
1
3
)
,
where
d
′
=
1
−
d
.
Using
the
state-space
a
v
eraging
technique,
the
steady-state
equations
can
be
obtained
as
in
(10)-(13)
[17].
A
=
A
1
(2
−
3
d
′
)
+
A
2
(3
d
′
−
1)
(10)
B
=
B
1
(2
−
3
d
′
)
+
B
2
(3
d
′
−
1)
(11)
C
=
C
1
(2
−
3
d
′
)
+
C
2
(3
d
′
−
1)
(12)
E
=
E
1
(2
−
3
d
′
)
+
E
2
(3
d
′
−
1)
(13)
The
state
space
and
output
equation
in
the
ON
state
is
gi
v
en
as
in
(14)
and
(15).
L
0
0
C
di
L
(
t
)
dt
dv
c
(
t
)
dt
=
−
R
ds
+
R
L
+
3
R
R
c
R
+
R
c
−
3
R
R
+
R
c
R
R
+
R
c
−
1
R
+
R
c
i
L
(
t
)
v
c
(
t
)
+
2
0
v
g
(
t
)
(14)
v
(
t
)
i
L
(
t
)
=
R
R
c
R
+
R
c
R
R
+
R
c
1
0
i
L
(
t
)
v
c
(
t
)
+
0
0
v
g
(
t
)
(15)
State
space
and
output
equation
in
the
OFF
state
is
gi
v
en
as
in
(16)
and
(17).
L
0
0
C
di
L
(
t
)
dt
dv
c
(
t
)
dt
=
−
R
ds
+
R
L
+
3
R
R
c
R
+
R
c
−
3
R
R
+
R
c
R
R
+
R
c
−
1
R
+
R
c
i
L
(
t
)
v
c
(
t
)
+
1
0
v
g
(
t
)
(16)
v
(
t
)
i
L
(
t
)
=
R
R
c
R
+
R
c
R
R
+
R
c
1
0
i
L
(
t
)
v
c
(
t
)
+
0
0
v
g
(
t
)
(17)
Applying
Laplace
transform,
open
loop
transfer
functions
could
be
deri
v
ed
using
(18)-(21).
ˆ
y
(
s
)
=
C
sI
−
K
−
1
A
−
1
K
−
1
F
+
G
ˆ
d
(
s
)
(18)
F
=
(
A
1
−
A
2
)
X
+
(
B
1
−
B
2
)
U
(19)
G
=
(
C
1
−
C
2
)
X
+
(
E
1
−
E
2
)
U
(20)
X
=
−
A
−
1
B
U
(21)
The
transfer
functions,
output
v
oltage
to
control
G
v
d
(
s
)
and
inductor
current
to
control
G
id
(
s
)
of
the
three-phase
interlea
v
ed
synchronous
b
uc
k
con
v
erter
,
considering
dominant
loss
components,
are
deri
v
ed
and
gi
v
en
by
(22)
and
(23)
[17].
G
v
d
(
s
)
=
ˆ
v
(
s
)
ˆ
d
(
s
)
=
R
R
c
C
V
g
s
+
R
V
g
D
en
(22)
G
id
(
s
)
=
b
i
L
(
s
)
ˆ
d
(
s
)
=
(
R
C
V
g
+
R
c
C
V
g
)
s
+
V
g
D
en
(23)
Where,
D
en
=
(
R
LC
+
R
c
LC
)
s
2
+
(
L
+
3
R
R
c
C
+
R
R
L
C
+
R
c
R
ds
C
+
R
c
R
L
C
+
R
R
ds
C
)
s
+
(3
R
+
R
L
+
R
ds
)
The
transfer
function
between
inductor
current
and
output
v
olt
age
G
v
i
(
s
)
can
be
deri
v
ed
using
(22)
and
(23)
and
gi
v
en
as
in
(24).
G
v
i
(
s
)
=
ˆ
v
(
s
)
b
i
L
(
s
)
=
R
R
c
C
V
g
s
+
R
V
g
(
R
C
V
g
+
R
c
C
V
g
)
s
+
V
g
(24)
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
991–1007
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
995
2.2.
Curr
ent
contr
ol
techniques
Ef
fecti
v
e
current
control
techniques
in
m
ultiphase
con
v
erters
play
a
vital
role
in
enhancing
ef
cienc
y
,
reliability
,
and
o
v
erall
system
performance.
Adv
anced
control
strate
gies
minimize
current
ripple
and
EMI,
ensuring
signal
inte
grity
in
high-speed
applications.
Furtherm
ore,
accurate
current
control
f
acilitates
optimal
con
v
erter
operation
under
v
arying
load
conditions,
supports
compact
component
sizing,
simplies
thermal
design,
and
enables
scalable
and
cost-ef
f
ecti
v
e
system
architectures.
The
follo
wing
section
e
xplores
the
widely
adopted
current
control
methods
and
their
impact
on
the
multiphase
con
v
erter
performance,
highlighti
ng
MCU
implementation
aspects.the
2.2.1.
Unied
curr
ent
contr
ollers
In
the
unied
current
control
technique,
a
single
current
controller
go
v
erns
all
con
v
erter
phases
by
generating
a
common
duty
c
ycle
d
.
The
system
typically
emplo
ys
a
cascaded
structure,
consisting
of
an
outer
v
oltage
re
gulation
loop
P
I
v
and
an
inner
c
urrent
compensator
loop
P
I
i
as
sho
wn
in
Figure
2(a).
This
approach
requires
only
a
single
current
sensor
independent
of
the
number
of
phases.
Ho
we
v
er
,
as
a
common
duty
c
ycle
is
applied
to
each
of
the
phases,
this
method
cannot
acti
v
ely
compensate
for
current
mismat
ches
arising
from
de
vice
parameter
v
ariations,
parasitic
elements,
or
dynamic
load
transients
that
may
lead
to
unequal
current
sharing
among
phases.
Furthermore,
in
the
unied
control
structure,
a
f
ault
in
an
y
indi
vidual
phase
af
f
ects
the
entire
system,
potentially
de
grading
o
v
erall
system
performance.
2.2.2.
Indi
vidual
curr
ent
contr
ollers
Indi
vidual
current
control
technique
incorporates
a
dedicated
current
controller
to
each
phase
P
I
1
,
P
I
2
,...
P
I
N
as
sho
wn
in
Figure
2(b).
The
outer
controller
P
I
v
re
gulates
the
o
v
erall
output
v
oltage
and
generates
a
total
current
reference
(
I
r
ef
),
which
is
distrib
uted
across
N
phases.
Each
phase
controller
then
re
gulates
the
respecti
v
e
inductor
current
independently
.
This
ensures
precise
current
shari
ng,
enhances
f
ault
tolerance
as
the
f
aulty
phase
can
be
isolated,
and
impro
v
es
rob
ustness
under
dynamic
load
or
component
parameter
v
ariation.
Ho
we
v
er
,
it
a
dds
comple
xity
due
to
the
need
for
multipl
e
current
sensors,
synchronized
current
sampling,
and
an
increased
number
of
current
controllers,
leading
to
higher
computational
comple
xity
as
the
number
of
phases
increases.
Despite
being
computationally
e
xpensi
v
e
and
comple
x,
this
method
is
superior
in
applications
demanding
tight
current
balancing
and
resilience
to
phase
f
aults.
2.2.3.
Unied
curr
ent
contr
oller
with
PI-based
imbalance
compensators
In
this
method,
inductor
current
of
each
phase
(
i
L
1
,
i
L
2
...
i
LN
)
is
continuously
monitored,
and
a
proportional-inte
gral
controller
(
P
I
comp
)
computes
the
correction
duty
c
ycle
of
each
phase
in
real-time
based
on
the
de
viation
from
the
a
v
erage
phase
current
(
i
av
g
)
.
This
correction
loop
operates
at
the
same
rate
as
the
current
controller
,
allo
wing
it
to
quickly
balance
phase
currents
during
transients
or
dynamic
load
v
ariations.
The
duty
c
ycle
correction
f
actor
of
each
phase
is
computed
through
a
dedicated
correction
loop
thus
ensuring
balanced
current
across
the
loop.
While
it
ensures
e
xcellent
transient
and
steady-state
current
shar
ing,
additional
PI
control
tuning
and
e
x
ecution
add
to
the
control
comple
xity
.
The
system
model
is
as
in
Figure
3(a).
(a)
(b)
Figure
2.
System
model
with
(a)
unied
current
controller
and
(b)
indi
vidual
current
controller
2.2.4.
Unied
curr
ent
contr
oller
with
corr
ection
factor
-based
imbalance
compensators
This
method
utilizes
a
correction
f
actor
(K)
to
adj
ust
each
phase’
s
duty
c
ycle
based
on
imbalance,
enabling
steady-state
accurac
y
with
lo
wer
computational
demand
[
18
].
This
control
technique
can
be
Optimal
selection
of
curr
ent
contr
ol
tec
hnique
in
multiphase
DC-DC
con
verter
s
for
...
(H.
Swathi
Hatwar)
Evaluation Warning : The document was created with Spire.PDF for Python.
996
❒
ISSN:
2088-8694
implemented
as
in
Figure
3(b).
The
per
-phase
inductor
currents
are
measured
and
fed
to
the
corresponding
correction
f
actor
loop
that
compares
the
a
v
erage
current
i
av
g
=
I
r
ef
N
,
where
N
i
s
the
total
number
of
phases.
Then
the
de
viation
from
reference
current
is
computed
using
(25).
∆
I
N
=
I
N
−
I
av
g
(25)
The
duty
c
ycle
correction
f
actor
is
computed
using
(26).
∆
D
N
=
∆
D
N
+
K
∗
∆
I
N
(26)
The
correction
f
actor
K
can
be
selected
based
on
the
speed
of
compensation
required.
The
per
-phase
duty
c
ycle
is
computed
using
(27).
D
N
=
D
base
−
∆
D
N
(27)
Since
duty
c
ycle
adjustment
must
be
applied
to
each
phas
e
indi
vidually
,
this
method
may
add
computational
o
v
erhead
to
the
MCU
and
may
af
f
ect
real-time
performance.
T
o
mitig
ate
this,
duty
correction
is
e
x
ecuted
at
a
slo
wer
rate
than
the
main
current
and
v
oltage
control
loop
e
x
ecution
rate.
Thus,
this
method
incorporates
the
adv
a
ntages
of
a
unied
current
controller
at
a
lo
wer
CPU
resource
requirement
and
the
steady
state
current
balancing
capability
of
the
indi
vidual
current
controller
.
This
technique
might
introduce
a
slight
response
lag
during
rapid
load
transients,
and
it
retains
the
f
ault-tolerant
benets
of
indi
vidual
current
controllers.
Moreo
v
er
,
only
the
total
current
sensor
requires
high
bandwidth,
while
phase
current
sensors
can
operate
at
lo
wer
bandwidths,
reducing
o
v
erall
system
cost.
(a)
(b)
Figure
3.
System
model
with
(a)
PI-based
current
imbalance
compensator
and
(b)
correction-f
actor
-based
current
compensator
2.3.
System
description
The
system
emplo
ys
a
three-phase
interlea
v
ed
b
uck
con
v
erter
with
GaN
switches
(S1T
,
S2T
,
S3T
,
S1B,
S2B,
and
S3B).
The
control
signals
for
the
switches
are
generat
ed
using
an
NXP
MC56F84789
DSC.
The
DSC
houses
tw
o
multichannel
f
ast
12-bit
ADCs
that
enable
accurate
current
and
v
oltage
measurement.
Its
inte
grated
peripherals
and
ample
computational
resources
f
acilitate
ef
cient
real-time
control
in
a
compact
and
cost-ef
fecti
v
e
implementation
[19].
A
block
diagram
of
the
proposed
system
is
as
in
Figure
4.
The
design
specications
of
the
con
v
erter
for
the
desired
ratings
are
gi
v
en
in
T
able
1.
The
inductor
and
capacitor
v
alues
are
cal
culated
a
ccording
to
standard
design
procedure
[
20
],
[
21
].
T
o
support
high-frequenc
y
operation
with
minimal
core
losses,
inductors
are
w
ound
on
MP3310MPFC
Metgl
as
amorphous
allo
y
cores,
selected
for
their
lo
w
loss
characteristics
up
to
500
kHz,
high
saturation
ux
densi
ty
,
and
thermal
stability
.
Current
sensing
is
performed
using
Hall-ef
fect
sensors,
pro
viding
g
alv
anic
isolation,
high
bandwidth,
and
inte
grated
f
ault
outputs.
V
oltage
feedback
is
obtained
via
resistor
di
viders,
conditioned
through
dif
f
erential
ampliers
to
ensure
accurac
y
and
noise
immunity
before
ADC
con
v
ersion,
enabling
precise
control
and
prot
ection
of
the
con
v
erter
.
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
991–1007
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
997
Figure
4.
Block
diagram
of
three-phase
interlea
v
ed
b
uck
con
v
erter
with
digital
controller
T
able
1.
Con
v
erter
specications
Symbol
Description
Desired
v
alue
P
o
Output
po
wer
1
kW
V
g
Input
v
oltage
36
V
η
Ef
cienc
y
95%
(assumed)
v
Output
v
oltage
12
V
f
s
Nominal
switching
frequenc
y
100
kHz
δ
Current
ripple
per
phase
25%
of
a
v
erage
current
B
max
Maximum
ux
density
of
Metglas
core
1.5
T
L
ph
Inductance
per
phase
11
µ
H
C
Output
capacitance
10
µ
F
δ
V
Peak
to
peak
ripple
in
output
v
oltage
1
%
R
L
Measured
DC
resistance
of
inductor
10
m
Ω
R
c
ESR
of
capacitor
6
m
Ω
2.4.
Contr
oller
design
The
cascade
control
scheme
is
being
adopted
in
this
research
w
ork,
with
current
bei
ng
the
inner
loop
and
v
oltage
as
the
outer
loop.
The
standard
cascade
control
design
guidelines
recommend
setting
the
inner
current
loop
bandwidth
(
B
W
cc
)
up
to
one-tenth
of
the
switching
frequenc
y
(
f
sw
)
and
the
outer
v
oltage
loop
bandwidth
(
B
W
v
c
)
up
to
one-fth
of
the
current
loop
bandwidth.
This
hierarchical
structure
ensures
an
ef
fecti
v
e
decoupling
between
the
tw
o
c
o
nt
rol
loops
so
that
each
could
be
indi
vidually
tuned,
allo
wing
the
inner
loop
to
respond
signicantly
f
aster
than
the
outer
loop.
The
controller
parameters
are
selected
such
that
the
bandwidth
of
the
inner
current
loop
is
approximately
2.42
kHz.
Thus,
the
coef
cients
of
the
inner
current
re
gulating
controller
are
selected
as
Kp
=
0.001
and
Ki
=
200
to
attain
the
desired
phase
mar
gin
of
75
◦
.
The
outer
v
oltage
l
oop
control
parameters
are
selected
as
Kp
=
0.5
and
Ki
=
20000
with
a
bandwidth
of
460
Hz
with
a
phase
mar
gin
of
90
◦
.
The
bode
plot
of
current
loop
G
id
and
v
oltage
loop
G
v
i
is
generated
using
MA
TLAB
as
in
Figures
5(a)
and
5(b).
F
or
digital
implem
entation,
the
discrete-time
transfer
functions
of
the
compensated
system
with
a
sampling
period
of
10
µ
s.
2.5.
Digital
implementation
The
practical
d
e
plo
yment
of
the
proposed
control
strate
gies
necessitates
a
rob
ust
digital
implementation
frame
w
ork
to
translate
theor
etical
control
la
ws
into
real-time
hardw
are
operation.
Digital
implementation
plays
a
crucial
role
in
ensuring
accurate
current
re
gulation,
synchronized
phase
operation,
and
reliable
performance
under
dynamic
load
conditions.
Ho
we
v
er
,
achie
ving
this
in
a
multiphase
con
v
erter
introduces
challenges
such
Optimal
selection
of
curr
ent
contr
ol
tec
hnique
in
multiphase
DC-DC
con
verter
s
for
...
(H.
Swathi
Hatwar)
Evaluation Warning : The document was created with Spire.PDF for Python.
998
❒
ISSN:
2088-8694
as
precise
timing
coordination,
sampling
synchronization,
computational
latenc
y
,
and
peripheral
resolution
constraints.
This
section
presents
the
digital
implementation
architecture,
outlining
the
adopted
current
sampling
methodology
,
PWM
generation
scheme,
and
resolution
considerations,
interrupt
scheduling,
and
softw
are-le
v
el
synchronization
mechanisms
required
for
stable
and
deterministic
real-time
control.
-100
-50
0
50
Magnitude (dB)
10
2
10
3
10
4
10
5
10
6
10
7
-135
-90
-45
0
Phase (deg)
Gid
I_inner
Bode Diagram
Frequency (Hz)
75 deg @
2.42 kHz
(a)
-60
-40
-20
0
20
Magnitude (dB)
10
2
10
3
10
4
10
5
10
6
10
7
-135
-90
-45
0
Phase (deg)
Gvi
V_outer
Bode Diagram
Frequency (Hz)
93.9 deg
@ 460 Hz
(b)
Figure
5.
Bode
plot
of
(a)
current
loop
and
(b)
v
oltage
loop
2.5.1.
Curr
ent
sampling
techniques
Accurate
current
sampling
is
essential
for
precise
current
control
and
f
ault
detection
in
digitally
controlled
po
wer
con
v
erters,
as
measurement
errors
can
af
fect
duty
c
ycle
adjustments
and
improper
load
sharing
in
multiphase
con
v
erters.
One
of
the
techniques
is
to
sample
the
inductor
current
at
the
center
of
the
PWM
on-time,
as
sho
wn
in
Figure
6(a).
This
requires
separate
ADC
trigger
pulses
for
each
phase
to
capture
a
v
erage
currents.
Sensor
latenc
y
introduces
a
delay
between
actual
and
measured
currents,
which
can
be
compensated
for
by
adjusting
the
sampling
instant.
This
method
requires
PWM–synchronized
triggering,
and
as
the
phase
count
increases,
ADC
sampling
rate
limitations
may
restrict
its
applicability
.
The
second
method
emplo
ys
RC
lo
w-pass
lters
to
e
xtract
the
DC
a
v
erage
inductor
current,
as
sho
wn
in
Figure
6(b).
This
technique
lifts
the
board
requirement
of
sampling
instances
in
a
switching
c
ycle.
Its
k
e
y
adv
a
ntage
is
the
ability
to
simultaneously
sample
all
N-phase
currents,
making
it
suitable
for
compl
e
x
multiphase
systems.
The
ADC
implementation
in
this
paper
utilizes
the
hardw
are
lter
scheme.
Actual Current
Measured Current
t
offset
i
L
1
,
i
L
2
,
i
L
3
time
T
s
time
i
L
1
(
avg
)
,
i
L
2
(
avg
)
,
i
L
3
(
avg
)
(a)
(b)
i
L
1
,
i
L
2
,
i
L
3
Figure
6.
Current
sampling
techniques:
(a)
at
center
of
PWM
and
(b)
with
hardw
are
a
v
eraging
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
991–1007
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Po
w
Elec
&
Dri
Syst
ISSN:
2088-8694
❒
999
2.5.2.
Softwar
e
implementation
In
digital
control
implementations,
PWM
resolution
directly
inuences
the
granularity
with
which
the
duty
c
ycle
can
be
adjuste
d
in
real
time.
It
is
determined
by
the
ratio
of
the
timer
clock
frequenc
y
f
cl
k
to
the
switching
frequenc
y
f
sw
,
which
denes
the
number
of
discrete
timer
counts
a
v
ailable
within
one
PWM
period.
F
or
a
controller
with
a
x
ed
f
cl
k
,
the
a
v
ailable
timer
counts
per
PWM
period
N
decrease
as
f
sw
increases,
reducing
the
resolution.
This
in
v
erse
relationship
limits
duty
c
ycle
precision
at
higher
switching
frequencies,
which
is
particularly
critical
for
GaN-based
con
v
erters
requiring
ner
control.
In
the
present
implementation,
the
selected
MCU
operates
with
a
clock
frequenc
y
of
100
MHz
and
a
switching
frequenc
y
of
100
kHz,
resulting
in
1000
timer
c
o
unt
s
per
PWM
period.
This
denes
the
ef
fecti
v
e
PWM
resolution
a
v
ailable
for
digital
duty-c
ycle
modulation
in
the
proposed
system.
In
real-time
control
systems,
precise
synchronization
between
PWM
signals,
ADC
sampling,
a
nd
control
loop
e
x
ecution
is
critical
for
accurate
and
ef
cient
operation.
The
de
v
eloped
system
emplo
ys
a
PWM
timer
counter
with
predened
comparison
v
alues
to
trigger
synchronized
e
v
ents
across
all
the
three
PWM
generation
modules.
ADC
con
v
ersions
are
initiated
by
PWM
trigger
signals
at
specic
instances,
follo
wed
by
interrupt
service
routines
(ISR)
that
process
sampled
data,
compute
control
parameters,
and
update
duty
c
ycles.
F
or
the
de
v
eloped
three
–ph
a
se
interlea
v
ed
con
v
erter
,
three
PWM
submodules
(SM0,
SM1,
SM2)
of
the
PWMA
module
are
used
for
PWM
generation,
with
SM0
as
the
master
submodule
while
SM1
and
SM2
are
phase-shifted
by
120
◦
and
240
◦
,
respecti
v
ely
,
with
respect
to
SM0
ensuring
proper
synchronization
for
interlea
v
ed
operation.
The
V
AL1
re
gister
in
SM0
determines
the
PWM
switching
frequenc
y
f
sw
,
whereas
V
AL2
and
V
AL3
dene
the
rising
and
f
alling
edges
respecti
v
ely
to
control
the
duty
c
ycle
d(t).
The
V
AL4
and
V
AL5
re
gisters
in
SM0
were
used
to
generate
synchronization
triggers
(PWMA0
TRIG0
and
PWMA0
TRIG1)
for
phase-shifting
SM1
and
SM2,
ensuring
an
interlea
v
ed
operation
as
indicated
in
Figure
7.
SM1
TRIG0
w
as
used
to
trigger
the
ADC
con
v
ersion
at
the
center
of
the
PWM
c
ycle,
ensuring
accurate
current
sampling.
W
ithin
the
ADC
ISR,
pa
rameters
such
as
v
oltages
and
currents
are
measured,
and
the
duty
c
ycle
is
computed.
After
the
computation,
the
updated
duty
c
ycle
v
a
lues
are
pre-loaded
to
the
PWM
v
alue
re
gisters,
which
wil
l
be
loaded
during
the
ne
xt
c
ycle.
T
o
ensure
synchronized
updates,
the
LDOK
(Load
OK)
bits
are
set,
allo
wing
the
updated
duty
c
ycle
v
al
ues
to
be
loaded
at
the
start
of
the
ne
xt
PWM
c
ycle.
The
softw
are
is
de
v
eloped
in
NXP
IDE
(CodeW
arrior)
using
embedded
’C’
coding.
V
AL1
V
AL5
V
AL3
V
AL4
INIT
Ext. sync for SM1
TRIG0 SM0
Ext. sync for SM2
TRIG1 SM0
SM0
SM1
V
AL2
V
AL3
V
AL2
V
AL3
SM2
V
AL2
V
AL3
SM1
TRIG0
Control loop
computation time
ADC Conversion time
Figure
7.
T
iming
diagram
of
digital
control
implementation
3.
RESUL
TS
AND
DISCUSSION
This
section
e
v
aluat
es
the
ef
f
ecti
v
eness
of
the
proposed
current
balanci
ng
technique
under
steady-state
and
dynamic
operating
conditions,
which
is
v
alidated
through
detailed
simulations
and
hardw
are
e
xperimentation.
The
con
v
erter
performance
is
a
n
a
lyzed
in
terms
of
phase
current
distrib
ution,
duty
c
ycle
adaptation,
and
transient
reco
v
ery
during
load
v
ariations.
Optimal
selection
of
curr
ent
contr
ol
tec
hnique
in
multiphase
DC-DC
con
verter
s
for
...
(H.
Swathi
Hatwar)
Evaluation Warning : The document was created with Spire.PDF for Python.
1000
❒
ISSN:
2088-8694
3.1.
Simulation
r
esults
The
interlea
v
ed
synchronous
b
uck
con
v
erter
of
T
able
1
is
simulated
using
MA
TLAB
Simulink
to
e
v
aluate
the
inherent
current
sharing
capability
and
rob
ustness
of
dif
ferent
current
control
strate
gies
as
in
Figure
8.
In
simulation,
a
±
10%
v
ariation
in
the
inductor
resistance
is
introduced
that
w
ould
closely
resemble
hardw
are
beha
vior
.
W
ith
unied
current
control,
a
signicant
current
imbalance
is
observ
ed
across
phases,
with
a
v
erage
phase
currents
of
19.31
A
(
p
ha
se
1),
17.99
A
(phase
2),
and
16.74
A
(phase
3)
ag
ainst
the
e
xpected
18.01
A,
and
a
ripple
curr
ent
of
7.24
A
as
in
Figure
9(a).
This
will
lead
to
a
higher
temperature
in
the
neighborhood
of
phase
1
traces
compared
to
phase
3.
Also,
the
stress
on
the
phase
1
switches
will
be
comparati
v
ely
higher
and
the
situation
will
w
orsen
as
the
load
current
increases.
In
contrast,
t
he
indi
vidual
current
control
technique
achie
v
ed
uniform
current
shari
ng,
with
an
a
v
erage
of
18.01
A
per
phase
and
a
ripple
current
of
7.25
A
as
in
Figure
9(b).
Current
balance
w
as
maintained
e
v
en
under
transient
conditions,
demonstrating
rob
ustness
and
dyn
a
mic
response.
Ho
we
v
er
,
the
implementation
of
this
technique
in
the
digital
domain
demands
huge
computational
resources.
The
decoupled
current
imba
lance
compensator
e
xhibits
transient
beha
vior
similar
to
unied
control,
b
ut
the
imbalance
loop
corrected
de
viations
within
2
ms,
achie
ving
balanced
steady-sta
te
currents
comparable
to
indi
vidual
control
as
in
Figure
9(c).
This
approach
ensures
current
balance,
a
v
oiding
thermal
hotspots
as
the
thermal
time
constant
will
be
higher
.
Due
to
e
v
en
temperature
distrib
ution,
it
is
possible
to
achie
v
e
better
system
performance.
This
conrms
its
ef
fecti
v
eness
in
combining
computational
ef
cienc
y
with
accurate
current
balancing.
Figure
8.
Simulink
model
of
three-phase
interlea
v
ed
b
uck
con
v
erter
3.2.
Experimental
r
esults
The
performance
of
v
arious
control
techniques
is
v
alidated
on
a
in-house
de
v
eloped
t
hree-phase
interlea
v
ed
c
on
v
erter
prototype
featuring
GaN
GS61008P
transistors
dri
v
en
by
LM5113
half-bridge
g
ate
dri
v
ers
[
22
],
[
23
],
A
CS720
Hall-ef
f
ect
current
sensors,
v
oltage
measurement
circuitry
,
on
a
six-layer
PCB
measuring
19
cm
x
39
cm.
The
e
xperimental
setup,
including
load,
current/v
oltage
probes,
and
digital
storage
oscilloscope
(DSO),
is
sho
wn
in
Figure
10.
Dynamic
response
w
as
tested
with
resisti
v
e
loads,
Figure
10(a),
while
real-time
performance
w
as
v
alidated
using
a
220
AH
Li-polymer
battery
,
Figure
10(b).
Softw
are
de
v
elopment
w
as
carried
out
in
CodeW
arrior
V10.4
IDE
using
embedded
C
programming,
with
the
component
ins
pector
simplifying
initialization
of
modules
lik
e
PWM,
ADC,
timers,
and
interrupts.
Controller
is
programmed
via
JT
A
G,
enabling
Int
J
Po
w
Elec
&
Dri
Syst,
V
ol.
17,
No.
2,
June
2026:
991–1007
Evaluation Warning : The document was created with Spire.PDF for Python.