Inter
national
J
our
nal
of
Electrical
and
Computer
Engineering
(IJECE)
V
ol.
10,
No.
6,
December
2020,
pp.
6233
6243
ISSN:
2088-8708,
DOI:
10.11591/ijece.v10i6.pp6233-6243
r
6233
Implementation
of
a
grid-tied
emer
gency
back-up
po
wer
supply
f
or
medium
and
lo
w
po
wer
applications
Dhiman
Cho
wdhury
1
,
Mohammad
Sharif
Miah
2
,
Md.
F
er
oz
Hossain
3
,
Uzzal
Sark
er
4
1
Department
of
Electrical
Engineering,
Uni
v
ersity
of
South
Carolina,
Columbia,
United
States
of
America
2,
3,
4
Department
of
Electrical
and
Electronics
Engineering,
Daf
fodil
International
Uni
v
ersity
,
Bangladesh
Article
Inf
o
Article
history:
Recei
v
ed
Jul
1,
2019
Re
vised
Mar
23,
2020
Accepted
Mar
31,
2020
K
eyw
ords:
Back-up
po
wer
supply
Boost
con
v
erter
Changeo
v
er
relay
IPS
Push-pull
in
v
erter
UPS
ABSTRA
CT
Emer
genc
y
back-up
po
wer
supply
units
are
necessary
in
case
of
grid
po
wer
shortage,
considerably
poor
re
gulation
and
costly
establishment
of
a
po
wer
system
f
acility
.
In
this
re
g
ard,
po
wer
electronic
con
v
erters
based
systems
emer
ge
as
consistent,
properly
controlled
and
ine
xpensi
v
e
electrical
ener
gy
pro
viders.
This
paper
presents
an
imple-
mented
design
of
a
grid-tied
emer
genc
y
back-up
po
wer
supply
for
medi
um
and
lo
w
po
wer
applications.
There
are
a
rectifier
-link
boost
deri
v
ed
DC-DC
battery
char
ging
circuit
and
a
4-switch
push-pull
po
wer
in
v
erter
(DC-A
C)
circuit,
which
are
controlled
by
pulse
width
modulation
(PWM)
signals.
A
changeo
v
er
relay
based
transfer
switch
controls
the
po
wer
flo
w
to
w
ards
the
utility
loads.
During
of
f-grid
situations,
loads
are
fed
po
wer
by
the
proposed
system
and
during
on-grid
situations,
battery
is
char
ged
by
an
A
C-link
rectifier
-fed
boost
con
v
erter
.
Char
ging
phenomenon
of
the
battery
is
controlled
by
a
relay
switched
protection
circuit.
Laboratory
e
xperiments
are
carried
out
e
xtensi
v
ely
for
dif
ferent
loads
.
Po
wer
quality
assessments
along
with
back-up
du-
rations
are
recorded
and
analyzed.
In
addition,
a
cost
allocation
af
firms
the
economic
feasibility
of
the
proposed
frame
w
ork
in
case
of
reasonable
consumer
applications.
The
test-bed
results
corroborate
the
reliability
of
the
research
w
ork.
Copyright
c
2020
Insitute
of
Advanced
Engineeering
and
Science
.
All
rights
r
eserved.
Corresponding
A
uthor:
Dhiman
Cho
wdhury
,
Department
of
Electrical
Engineering,
Uni
v
ersity
of
South
Carolina,
SC
29208,
Columbia,
United
States
of
America.
Email:
dhiman@email.sc.edu
1.
INTR
ODUCTION
Modern
po
wer
system
architecture
inte
grates
with
sustainable
and
definiti
v
e
po
wer
electronic
con
v
er
t-
ers
consisted
of
ef
fectual
circuit
structures
and
stable
operational
characteristics
.
These
con
v
erters
are
generally
realized
and
configured
as
switching
netw
orks
with
acti
v
e
and
passi
v
e
switching
modules,
po
wer
transfer
de-
vices
and
circuit
constituents
lik
e
resistor
,
capacitor
,
inductor
etcetera.
The
infrastructure
comprises
control
loops
which
feed
switching
signals
to
the
con
v
erter
circuit.
These
switching
con
v
erters
based
po
wer
generation
and
distrib
ution
models
can
w
ork
in
both
grid-connected
and
islanded
modes.
In
an
y
case,
these
con
v
erters
can
perform
as
alternati
v
es
to
t
h
e
traditional
po
wer
generation
and
distrib
ution
netw
orks.
Man
y
re
gions
across
the
w
orld
f
all
victim
to
grid
po
wer
shortage,
frequent
distrib
ution
f
ailure,
v
ery
poorly
re
gulated
supply
,
glitches
in
the
constituent
po
wer
sub-stations
and
e
xpensi
v
e
i
nfrastructure.
In
t
he
e
v
ents
of
grid
po
wer
una
v
ailabil-
ity
,
emer
genc
y
utility
loads
(also
kno
wn
as
critical
loads)
can
be
supplied
po
wer
by
these
uninterruptible
and
continual
po
wer
sources.
Thereby
,
practitioners
and
researchers
indulge
themselv
es
in
designing
and
imple-
menting
po
wer
electronic
con
v
erters
of
dif
ferent
topologies
and
architectures
for
ensuring
ef
fecti
v
e
supply
of
electrical
ener
gy
to
consumers.
Moreo
v
er
,
these
con
v
erter
netw
orks
are
deplo
yed
in
de
v
eloping
ef
ficient
re-
ne
w
able
ener
gy
s
o
ur
ces
enabled
po
wer
systems
and
scalable
microgrids,
as
reported
in
[1-4].
These
microgrid
J
ournal
homepage:
http://ijece
.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
6234
r
ISSN:
2088-8708
technologies
e
xtend
the
horizon
of
clean
and
unw
a
v
ering
electrical
ener
gy
generation
and
supply
incorporating
the
cutting
edge
premises
of
po
wer
electronics.
In
this
article,
a
medium
and
lo
w
po
wer
utility
back-up
system
is
presented,
which
is
de
v
eloped
using
po
wer
electronics
and
control
de
vices
and
methodologies.
The
system
design,
equi
v
alent
mathematical
models
of
the
switching
con
v
erter
circuits
and
obtained
PLECS
simulation
results
of
the
system
are
reported
in
[5].
The
proposed
research
design
consists
of
a
battery-sourced
4-switch
push-pull
in
v
erter
circuit.
Thi
s
po
wer
in
v
erter
unit
feeds
ener
gy
to
the
consumer
end
when
the
mains
supply
is
una
v
ailable.
A
DC-DC
boost
con
v
erter
char
ges
the
battery
.
The
grid
connection
of
the
designed
frame
w
ork
is
substantiated
through
the
rectifier
-link
source
end
of
the
battery
char
ger
.
An
electrical
isolation
at
the
i
n
put
terminal
of
the
battery
char
ger
is
implicated,
which
steps-do
wn
the
grid
v
oltage
(230
V
r
.m.s.
to
12
V
r
.m.s.)
and
the
con
v
erter
produces
a
suitable
v
oltage
le
v
el
(24
V
DC)
to
char
ge
the
battery
.
In
this
proposed
system,
the
char
ger
maintains
a
char
ging
v
oltage
twice
the
nominal
battery
v
oltage.
The
switching
operation
of
the
DC-DC
boost
con
v
erter
is
controlled
by
high
frequenc
y
(40
kHz)
PWM
signals.
The
switching
frequenc
y
is
maintained
as
such
to
reduce
the
current
ripples,
s
ize
of
the
filter
components
and
switching
de
vice
conduction
losses.
The
con
v
erter
operates
in
continuous
conduction
mode
(CCM),
which
m
eans
the
a
v
erage
inductor
curre
nt
is
al
w
ays
greater
than
the
ripple
component
and
the
current
does
not
go
ne
g
ati
v
e
during
the
entire
c
ycle
of
operation.
A
4-switch
push-pull
in
v
erter
of
fering
a
high
current
dri
ving
ability
is
used
as
the
ener
gy
feeder
in
case
of
grid
po
wer
f
ailure.
Snubber
components
connected
at
the
switching
de
vices
reduce
o
v
erall
dv
dt
ef
fects
during
circuit
operation.
At
load
end
a
50
Hz
center
-tapped
step-up
transformer
is
located
to
generate
suitable
range
of
utility
v
oltage
and
pro
vide
g
alv
anic
isolation
between
the
po
wer
supply
port
and
consumer
port.
Finally
,
an
L-C
lo
w
pass
filter
is
designed
at
the
load
side.
The
in
v
erter
switches
are
controlled
by
tw
o
compl
ementary
fix
ed
duty
ratio
PWM
signals
of
the
mains
line
frequenc
y
(50
Hz).
During
on-grid
condition,
the
loads
and
the
battery
are
fed
po
wer
by
the
grid
and
the
char
ger
,
respecti
v
ely
.
During
of
f-grid
condition,
the
customized
po
wer
supply
system
deli
v
ers
po
wer
to
the
loads.
The
po
wer
transfer
switching
from
grid
to
the
customized
po
wer
supply
system
is
automatic
and
instantaneous,
which
means
no
humane
in
v
olv
ement
is
required
and
no
considerate
delay
is
compromised.
F
or
this
transfer
application,
a
changeo
v
er
relay
with
a
switch
operating
rate
of
3-5
ms
is
emplo
yed
here.
There
is
a
relay
switching
circuit
to
control
the
char
ging
process
of
the
battery
.
If
the
battery
v
oltage
is
at
its
rated
v
al
ue
(12
V),
the
char
ge
controller
disconnects
the
battery
from
the
char
ger
,
and
thus
pre
v
ents
the
o
v
er
-char
ging
phenomenon.
There
are
a
number
of
research
w
orks
and
associated
e
xperiments
conducted
to
implement
re
liable
po
wer
supply
frame
w
orks
based
on
po
wer
electronic
means,
such
as
[6,
7].
In
these
w
orks,
inno
v
ati
v
e
designs
of
po
wer
in
v
erters
are
articulated.
Moreo
v
er
,
a
high
g
ain
switched-coupled-inductor
-switched-capacitor
step-
up
con
v
erter
topology
for
practical
applications
is
presented
in
[8].
In
addition,
se
v
eral
no
v
el
designs
of
DC-
A
C
con
v
erters
for
industrial
applications
are
reported
in
[9-26].
High
sending-end
po
wer
f
actor
and
reduced
v
oltage
and
current
THD
are
significant
features
of
a
ef
ficient
po
wer
system.
The
proposed
system
pro
vides
good
sending-end
po
wer
f
actor
and
lo
w
v
oltage
and
current
THD
v
alues,
as
obtained
from
the
laboratory
assessments.
Se
v
eral
po
wer
electronic
systems
r
eporting
po
wer
f
actor
impro
v
ement
and
THD
reduction
in
case
of
non-linear
loads
are
presented
in
[27-30].
In
[5],
a
state
a
v
eraging
model
of
the
battery
char
ging
circuit
is
deri
v
ed
and
a
Laplace
domain
transfer
function
is
determined
from
the
time
domain
model.
Additionally
,
the
in
v
erter
circuit
is
analyzed
as
a
switching
con
v
erter
model
in
[5].
In
this
article,
e
xperimental
test
results
of
the
proposed
design
are
presented.
A
test-bed
of
dif
ferent
A
C
utility
loads
rated
from
60
W
to
250
W
is
configured
for
e
xperiments.
Sending-end
po
wer
f
actor
,
input-output
po
wer
quantities
(v
oltage
and
current)
with
the
associat
ed
THD
v
alues,
utility
back-up
po
wer
durations
and
po
wer
ef
ficiencies
in
accordance
with
load
v
ariations
are
e
v
aluated.
An
o
v
erall
cost
estimation
is
presented
as
well.
From
literature
re
vie
ws,
background
study
and
state-of-the-art
in
v
estig
ations,
it
can
be
implied
that
reliable
and
economically
feasible
po
wer
electronics
based
clean
and
alternati
v
e
ener
gy
solutions
are
essential
in
modern
po
wer
systems.
In
re
g
ard
to
this
prospect,
this
article
presents
a
grid-connected
emer
genc
y
back-up
po
wer
system
pro
viding
a
cost-reasonable
medium
po
wer
architecture
for
frequent
consumer
and
industrial
ap-
plications.
The
frame
w
ork
proposes
custom
engineered
PWM
signal
generation
circuits,
po
wer
in
v
erter
circuit
and
relay
based
switching
circuits.
The
proposed
design
is
simpler
and
more
cost-ef
fecti
v
e
than
those
reported
in
[9-26]
with
a
potential
ef
ficienc
y
merit.
The
in-depth
e
xperimental
v
alidations
af
firm
the
applicability
and
major
contrib
utions
of
the
proposed
research
w
ork.
The
remnant
of
the
manuscript
is
or
g
anized
as
follo
ws.
Section
2.
presents
the
o
v
ervie
w
of
the
pro-
Int
J
Elec
&
Comp
Eng,
V
ol.
10,
No.
6,
December
2020
:
6233
–
6243
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Elec
&
Comp
Eng
ISSN:
2088-8708
r
6235
posed
design
including
the
po
wer
transfer
switching
operation,
relay
switching
circuit
function
and
PWM
gen-
eration
circuits
manifestation.
Section
3.
documents
the
practical
design
considerations
and
laboratory
based
e
xperimental
assessments
of
the
frame
w
ork.
Section
4.
concludes
the
article.
2.
O
VER
VIEW
OF
THE
PR
OPOSED
DESIGN
The
design
of
the
de
v
eloped
grid-tied
emer
genc
y
back-up
po
wer
supply
system
for
medium
and
lo
w
po
wer
applicati
ons
is
reported
in
[5],
which
is
presented
here
by
Figure
1.
The
description
of
the
system
layout
is
documented
in
[5].
Ne
v
ertheless,
a
brief
o
v
ervie
w
of
the
implemented
design
and
its
functionalities
is
articulated
in
this
particular
section.
Figure
1.
Layout
of
the
proposed
back-up
po
wer
system
[5]
2.1.
P
o
wer
transfer
switching
operation
The
transfe
r
switching
operation
from
the
mains
line
to
the
customized
po
wer
circuit
in
case
of
grid
po
wer
f
ailure
is
implemented
by
a
changeo
v
er
relay
fol
lo
wing
a
double
pole
double
thro
w
(DPDT)
switching
structure.
The
switching
operation
is
configured
as
follo
ws.
Direct
connection
relay
R
c
1
connects
the
mains
po
wer
line
to
the
utility
load
terminal.
Circuit-to-load
connection
relay
R
c
2
bridges
the
in
v
erter
circuit
output
port
with
the
utility
load
terminal.
R
c
1
and
R
c
2
get
acti
v
ated
alternati
v
ely
.
Generally
a
relay
has
tw
o
switching
terminals
and
one
mo
ving
pole
to
shift
position
from
one
terminal
to
another
.
In
this
DPDT
relay
,
the
normally
closed
(NC)
terminal
or
R
c
2
is
connected
to
the
in
v
erter
output
and
the
normally
open
(NO)
or
R
c
1
is
connected
to
the
grid.
An
y
utility
load
is
realized
by
the
mo
ving
pole.
In
the
de-ener
gized
state
(mains
po
wer
is
absent),
the
load
is
connected
to
NC
and
con
v
ersely
,
in
the
ener
gized
state
(mains
po
wer
is
present),
the
load
gets
automatically
connected
to
NO.
2.2.
Relay
switching
cir
cuit
operation
An
intelligible
relay
switching
circuit
is
designed
to
control
the
connecti
vity
of
the
battery
to
i
ts
char
ger
.
Therefore,
this
relay
switched
circuit
unit
determines
the
char
ging
operation
and
pro
vides
protection
ag
ainst
o
v
er
-char
ge
and
o
v
er
-v
oltage
states
for
the
battery
.
The
relay
switching
op
e
ration
is
configured
in
the
follo
wing
manner
.
Implementation
of
a
grid-tied
emer
g
ency
bac
k-up
power
supply
for
...
(D.
Chowdhury)
Evaluation Warning : The document was created with Spire.PDF for Python.
6236
r
ISSN:
2088-8708
If
the
battery
v
oltage
is
at
or
abo
v
e
its
rated
nominal
v
alue,
the
switching
circuit
disconnects
the
char
ger
from
the
battery
.
Char
ger
connection
relay
R
cc
,
is
basically
a
single
pole
double
thro
w
(SPDT)
relay
switching
circuit
which
connects
the
battery
to
the
char
ger
.
Battery
char
ge
controller
consists
of
a
comparator
circuit,
in
which
the
reference
v
oltage
V
r
f
,
k
ept
at
12
V
,
is
fed
from
the
rectifier
and
it
is
connected
to
a
non-in
v
erted
port,
whereas
the
battery
v
oltage
V
B
is
connected
to
an
in
v
erted
port
of
an
operational
amplifier
(op-amp).
The
dif
ference
v
oltage
V
is
V
r
f
V
B
.
The
w
ork
process
in
op-amp
happens
to
be:
the
comparator
output
v
oltage
V
cmp
is
V
sat
=
V
=
0
V
,
if
V
<
0
and
is
+
V
sat
=
V
+
=
12
V
,
if
V
>
0
;
here
V
sat
is
the
saturation
v
oltage.
The
comparator
is
follo
wed
by
a
relay
s
witching
circuit,
as
presented
in
Figure
1,
of
which
the
input
is
the
comparator
output
v
oltage.
Here
NO
terminal
is
connected
to
the
char
ger
,
NC
terminal
is
open
and
the
mo
ving
pole
C
is
connected
to
the
battery
.
When
V
cmp
=
0
V
,
there
is
no
current
flo
wing
through
the
switching
relay
and
the
battery
is
disconnected
from
the
char
ger
.
When
V
cmp
=
12
V
,
a
current
flo
ws
through
the
relay
and
the
battery
is
connected
to
the
char
ger
.
2.3.
Switch
contr
ol
PWM
signal
generation
The
switching
operations
of
the
DC-DC
boost
con
v
erter
and
push-pull
in
v
erter
are
e
x
ecuted
by
fix
ed
duty
ratio
(0.5)
PWM
signals
of
40
kHz
and
50
Hz,
respecti
v
ely
.
Analog
inte
grated
chip
(IC)
SG3525A
is
used
to
generate
the
associated
PWM
signals.
These
PWM
signals
are
fed
into
the
g
ate
terminals
of
the
switching
de
vies.
T
echnical
features,
operational
principles
and
connection
diagrams
of
SG3525A
are
reported
i
n
details
in
[31].
In
re
g
ard
to
maintain
the
trade-of
f
between
switching
loss
and
conduction
loss
of
a
switching
de
vice,
40
kHz
switching
frequenc
y
is
optimized
in
this
w
ork
for
controlling
boost
con
v
erter
.
In
case
of
the
push-pull
in
v
erter
,
both
of
the
complementary
50
Hz
pulses
are
used
to
control
the
switching
operations
of
the
in
v
erter
le
gs,
le
g1:
Q
i
1
Q
i
2
and
le
g2:
Q
i
3
Q
i
4
.
Here
50
Hz
pulses
are
required
irrespecti
v
e
of
conduction
and
switching
losses,
since
the
in
v
erter
ought
to
generate
po
wer
quantities
at
the
grid
fundamental
frequenc
y
.
F
or
biasing
the
PWM
generation
circuits,
the
battery
v
olta
g
e
is
used.
Figures
2
and
3
present
the
circuit
schematics
for
40
kHz
and
50
Hz
PWM
signal
generation,
respecti
v
ely
.
T
o
e
v
aluate
the
performance
of
the
de
v
eloped
system,
dif
ferent
types
of
utility
loads
with
dif
ferent
po
wer
ratings
are
fed
po
wer
by
the
in
v
erter
circuit.
A
critical
load
such
as
a
personal
computer
unit
(HD
display+CPU)
is
also
tested
to
ascertain
the
emer
genc
y
back-up
po
wer
supply
capability
of
the
proposed
frame
w
ork.
Figure
2.
Circuit
schematic
for
40
kHz
PWM
signal
generation
using
SG3525A
[5]
Figure
3.
Circuit
schematic
for
50
Hz
PWM
signal
generation
using
SG3525A
[5]
Int
J
Elec
&
Comp
Eng,
V
ol.
10,
No.
6,
December
2020
:
6233
–
6243
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Elec
&
Comp
Eng
ISSN:
2088-8708
r
6237
3.
EXPERIMENT
AL
RESUL
TS
AND
AN
AL
YSIS
In
this
article,
a
simple
yet
ef
ficient
and
cost-ef
fecti
v
e
emer
genc
y
back-up
po
wer
system
for
re
gu
l
ar
medium
and
lo
w
po
wer
consumer
applications
is
reported.
Laboratory
tests
are
conducted
to
ratify
the
v
al-
idation
of
the
articulated
design
for
practical
user
applications.
The
test-bed
containing
v
arious
utility
loads
with
dif
ferent
po
wer
ratings
are
e
xperimented.
The
w
a
v
eforms
of
po
wer
quantities
are
observ
ed
in
digital
os-
cilloscopes.
F
or
measurement
purposes,
digital
multimeter
,
LCR
meter
,
THD
meter
,
w
att
meter
and
po
wer
f
actor
meter
are
utilized.
T
able
1
sho
ws
the
specifications
of
the
de
v
eloped
system
components.
60
W
-
250
W
dif
ferent
types
of
utility
loads
are
used
for
the
e
xperimental
e
v
aluations.
The
components’
notations
follo
w
the
terms
as
presented
in
Figure
1.
T
able
1.
Specifications
of
the
system
components
to
de
v
elop
the
laboratory
prototype
Components’
Notations
Specifications
T
x
1
230
V
-
12
V
,
300
W
,
50
Hz
iron
core
step-do
wn
transformer
with
a
turns
ratio
of
N
1
:
N
2
=
38
:
2
D
1
D
4
,
D
s
,
D
c
,
D
s
1
D
s
4
,
D
sr
&
D
r
GP60-005
po
wer
diodes
L
r
0.1
mH,
rectifier
output
filter
inductance
(made
on
a
po
wder
core)
C
r
500
F
,
rectifier
output
filter
capacitance
(25
V
electrolytic
capacitor)
L
c
0.95
mH,
boost
con
v
erter
input
inductance
(made
on
a
po
wder
core)
C
c
47
F
,
boost
con
v
erter
output
capacitance
(50
V
electrolytic
capacitor)
Q
c
,
Q
i
1
Q
i
4
&
Q
r
IRFZ44N
n-channel
enhancement
type
MOSFET
with
an
absolute
maximum
on-resistance,
R
on
=17.5
m
and
maximum
drain
current,
I
D
=
49
A
Battery
12
V
(rated
nominal
v
oltage),
7.5
A-h
(capacity)
and
9
V
(cut-of
f
v
oltage),
Uniross
UPS
battery
R
s
1
R
s
4
225
,
snubber
resistance
(2
W
resistor)
C
s
1
C
s
4
&
C
sr
10
nF
,
snubber
capacitance
(ceramic
capacitor
,
part
number
103)
T
x
2
12
V
-
230
V
,
400
W
,
50
Hz
iron
core
step-up
transformer
with
a
center
-tapped
primary
side
and
a
turns
ratio
of
n
1
:
n
2
:
n
3
=
2
:
2
:
38
L
o
21.2
mH,
in
v
erter
output
filter
inductance
(made
on
a
po
wder
core)
C
o
470
F
,
in
v
erter
output
filter
capacitance
(250
V
electrolytic
capacitor)
A
LM324,
op-amp
with
the
biasing
v
oltage
of
V
+
=
12
V
and
V
=
0
V
R
r
1
&
R
r
2
1
k
and
12
k
respecti
v
ely
,
resistances
in
the
input
terminal
of
the
battery
char
ge
control
ler
circuit
(2
W
resistor)
V
dd
12
V
,
biasing
v
oltage
of
the
relay
switching
circuit
C,
NO
&
NC
common,
normally
open
and
normally
closed
terminals
of
a
250
V
,
20
A,
SPDT
electromechan-
ical
relay
T
ransfer
Switch
250
V
,
30
A,
3
ms
(transfer
rate)
electromechanical
relay
Ho
we
v
er
,
the
detailed
PLECS
simulation
results
and
associated
analysis
are
reported
in
[5].
In
t
his
article,
Figure
4
presents
a
de
vice
under
test
(DUT)
model
of
the
system.
There
is
a
cooling
f
an
of
12
V
bias
v
oltage
attached
to
the
prototype
to
annihilate
the
heat
of
the
circuit
components.
Ev
ery
electrical
switching
module
in
the
circuit
is
associate
d
with
heat
sinks.
T
o
e
v
aluate
the
ef
ficac
y
,
certain
po
wer
quality
measures
are
tak
en
into
consideration.
The
sending-end
po
wer
f
actor
can
be
defined
as
follo
ws.
P
F
s
=
P
R
S
A
=
V
I
cos
V
I
=
cos
(1)
Here
P
R
is
the
real
po
wer
(W),
S
A
is
the
apparent
po
wer
(V
A),
is
the
angle
between
v
oltage,
V
and
current,
I
.
Lo
w
po
wer
f
actor
means
significant
po
wer
loss,
therefore
it
is
rudimentary
to
maintain
a
high
sending-end
po
wer
f
actor
during
operations
of
a
po
wer
utility
s
ystem.
In
addition,
harmonic
distortions
are
determined
to
calculate
the
losses
and
observ
e
irre
gularities
in
the
w
a
v
eforms
due
to
unw
anted
harmonic
contents
in
v
oltage
and
current
measurements.
Due
to
presence
of
harmonics
and
sub-harmonics,
distorted
v
oltage
and
current
signals
are
fed
into
utility
loads
and
the
o
v
erall
operation
becomes
de
graded.
The
total
harmonic
distortion
(THD)
v
alues
(%)
of
respecti
v
e
current
and
v
oltage
signals
are
measured
as
follo
ws.
I
H
=
p
I
2
2
+
I
2
3
+
I
2
4
+
I
2
5
+
I
2
6
+
:::
I
1
100%
(2)
V
H
=
p
V
2
2
+
V
2
3
+
V
2
4
+
V
2
5
+
V
2
6
+
:::
V
1
100%
(3)
Implementation
of
a
grid-tied
emer
g
ency
bac
k-up
power
supply
for
...
(D.
Chowdhury)
Evaluation Warning : The document was created with Spire.PDF for Python.
6238
r
ISSN:
2088-8708
Here
an
y
po
wer
quantity
can
be
represented
by
L
(=
V
and
I
).
L
1
is
the
fundamental
or
base
frequenc
y
(50
Hz)
component,
L
2
,
L
3
,
L
4
,
L
5
,...
are
the
2nd,
3rd,
4th,
5th,...
order
harmonic
components,
respecti
v
ely
.
Figures
5
and
6
prese
n
t
the
obtained
40
kHz
and
50
Hz
PWM
signals
with
fix
ed
50
%
duty
ratio,
respecti
v
ely
.
These
switching
signals
are
outcomes
of
SG3525A.
The
switching
frequencies
of
these
tw
o
generated
PWM
signals
are
measured
as
43.1256
kHz
and
51.169
Hz,
respecti
v
ely;
which
are
v
ery
close
to
the
desired
v
alues.
In
the
design,
fe
w
v
oltage
con
v
ersion
stages
are
present
to
emplo
y
correct
quantities
for
most
optimized
po
wer
transformations.
T
able
2
manifests
the
v
oltages
at
dif
ferent
stages
of
the
system.
Figure
4.
A
DUT
model
of
the
proposed
design
for
laboratory
assessments
Figure
5.
Generated
40
kHz
switching
PWM
pulses
Figure
6.
50
Hz
switching
PWM
pulses
in
oscilloscope
Int
J
Elec
&
Comp
Eng,
V
ol.
10,
No.
6,
December
2020
:
6233
–
6243
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Elec
&
Comp
Eng
ISSN:
2088-8708
r
6239
T
able
2.
V
oltage
le
v
els
at
dif
ferent
stages
Stage
V
alue
(V)
Mains
Line
(grid)
230
(r
.m.s.)
Step-Do
wn
T
ransformer
Output
12.1
(r
.m.s.)
Rectifier
Output
12.5
Boost
Con
v
erter
Output
23.9
Battery
12
In
v
erter
Output
(no-load)
228.8
(r
.m.s.)
60
W
-
250
W
utility
loads
are
supplied
po
wer
by
the
de
v
eloped
system.
A
personal
desktop
c
o
m
puter
acts
as
a
250
W
critical
load
while
assessing
the
emer
genc
y
back-up
po
wer
supply
performance
and
its
relia-
bility
for
consumer
usage.
Figure
7
presents
the
output
v
oltage
w
a
v
eforms
for
60
W
and
100
W
loads,
whereas
Figure
8
presents
132
W
and
192
W
load
v
oltages,
respecti
v
ely
.
Figure
7.
In
v
erter
output
v
oltages
for
60
W
and
100
W
loads
respecti
v
ely
Figure
8.
In
v
erter
output
v
oltages
for
132
W
and
192
W
loads
respecti
v
ely
An
elaborated
performance
inspection
is
carried
out
considering
po
wer
f
actor
,
v
oltage
and
current
har
-
monic
distortions,
output
v
oltage,
back-up
duration
and
po
wer
ef
ficienc
y
yielding
to
load
v
ariations.
T
able
3
presents
the
o
v
erall
performance
e
v
aluation
of
the
implement
ed
system
for
dif
ferent
loads.
Here
for
a
fluorescent
and
incandescent
b
ulb
the
maximum
utility
is
considered
to
be
its
full
brightness
le
v
el
to
approx-
imately
80
%
of
the
full
brightness
le
v
el
and
f
o
r
a
f
an
is
considered
to
be
its
full
rated
speed
to
80
%
of
the
full
rated
speed.
The
brightness
le
v
el
is
estimate
d
roughly
on
the
basis
of
a
25
-
30
year
old
vie
wer’
s
e
yesight
comfort
le
v
el
in
night-time
and
the
speed
of
a
f
an
is
determined
using
a
speedometer
.
At
the
no-load
condition
the
in
v
erter
output
v
oltage
(r
.m.s.)
is
228.8
V
with
an
operating
frequenc
y
of
50.2
Hz.
T
able
3
presents
the
changes
in
load
v
oltage
v
alues
with
respect
to
loads
with
dif
ferent
po
wer
ratings.
The
minimum
utility
load
tested
here
is
a
60
W
incandescent
b
ulb
and
the
maximum
utility
load
tested
here
is
a
250
W
desktop
computer
.
F
or
each
load,
instantaneous
transfer
switching
(from
mains
po
wer
to
in
v
erter
po
wer)
feature
is
tested
during
of
f-grid
condition.
The
back-up
po
wer
durations
for
dif
ferent
loads
are
considerable
and
after
10
minutes
of
back-up
supply
,
in
v
erter
input
current
and
po
wer
ef
ficienc
y
for
each
load
are
measured.
From
T
able
3,
it
can
be
observ
ed
that
the
in
v
erter
output
v
oltage
THD
v
alues
(
18.3
%)
do
not
change
with
load
v
ariations,
whereas
the
load
current
THD
v
alues
(minimum
17.8
%
and
maximum
19.1
%)
change
with
load
v
ariations.
From
Figures
7
and
8,
it
is
observ
ed
that
the
load
v
oltages
are
in
the
form
of
modified
square
w
a
v
e
of
a
fundamental
frequenc
y
of
approximately
50
Hz.
From
the
changes
in
in
v
erter
output
v
oltages
during
load
v
ariations,
it
can
be
concluded
that
the
in
v
erter
with
loaded
conditions
w
orks
lik
e
a
current
source
in
v
erter
(CSI)
and
requires
a
feedback
control
loop
to
k
eep
t
he
output
v
oltage
constant.
F
or
a
fix
ed
reference
load
current,
a
closed-loop
control
is
essential
that
can
be
in
continuous
or
discrete
mode
of
operation;
since
no
specific
loop
update
time
is
required
in
the
design.
F
or
a
po
wer
control
implication,
a
multi-loop
control
happens
to
be
required
in
which
v
oltage
control
is
going
to
be
the
outer
loop
and
current
control
is
going
to
be
the
inner
loop
recei
ving
commands
to
track
from
the
outer
v
oltage
control
loop.
Ho
we
v
er
,
these
control
prospects
are
in
the
future
scope
of
this
research
design.
The
e
xperimental
sending-end
po
wer
f
actor
of
the
proposed
system
is
close
to
0.9
with
a
mains
l
ine
Implementation
of
a
grid-tied
emer
g
ency
bac
k-up
power
supply
for
...
(D.
Chowdhury)
Evaluation Warning : The document was created with Spire.PDF for Python.
6240
r
ISSN:
2088-8708
current
THD
of
around
25
%,
which
is
considerably
si
gnificant
in
case
of
lo
w
line
po
wer
loss.
The
system
po
wer
ef
ficienc
y
is
subject
to
load
v
ariations.
The
maximum
and
minimum
po
wer
ef
ficiencies
are
close
to
92
%
and
75
%,
respecti
v
ely
.
The
observ
ed
back-up
times
for
dif
ferent
loads
underscore
the
reliabi
lity
of
this
system
as
an
emer
-
genc
y
po
wer
supply
especially
in
the
re
gions,
which
are
victims
to
frequent
po
wer
outage
and
poor
v
oltage
re
gulation.
A
computer
is
supported
for
a
time
period
of
13
minutes,
whereas
lo
w
loads
lik
e
60
W
and
100
W
incandescent
b
ulbs
are
pro
vided
po
wer
back-ups
for
more
than
1
hour
durations.
Thereby
,
it
can
be
implied
that
the
proposed
system
can
be
a
potential
solution
to
consumer
UPS
de
vices.
The
cost
ef
fecti
v
eness
is
one
of
the
most
prominent
features
of
the
presented
research
w
ork.
The
o
v
er
-
all
cost
estimation
is
enumerated
in
T
able
4.
It
can
be
observ
ed
that
the
proposed
system
can
be
implemented
incurring
an
e
xpense
belo
w
30
$,
which
is
significant
in
case
of
re
gular
and
reasonable
consumer
applications.
T
able
3.
Performance
e
v
aluation
of
the
DUT
for
dif
ferent
loads
with
sending-end
po
wer
f
actor
P
F
s
=
0
:
89
,
mains
current
THD
I
mH
=
25
:
3(%)
,
no-load
in
v
erter
v
oltage
V
N
L
=
228
:
8
V
(r
.m.s.)
and
operating
frequenc
y
f
op
=
50
:
2
H
z
Load
T
ype
(Quantity)
Load
Po
wer
Rating
(W)
In
v
erter
Out-
put
V
oltage
in
Full
Load
State
V
L
(V)
Po
wer
Back-
Up
Duration
for
Maxi-
mum
Utility
t
b
(Minutes)
In
v
erter
Input
Port
Current
I
inp
(A)
[mea-
sured
after
10
minutes
of
po
wer
back-up]
Po
wer
Ef
fi-
cienc
y
p
(%)
[measured
after
10
min-
utes
of
po
wer
back-up]
In
v
erter
Output
V
oltage
THD
V
LH
(%)
Load
Cur
-
rent
THD
I
LH
(%)
Incandescent
Bulb
(1)
60
208
86
4.9
91.8
18.3
17.8
Incandescent
Bulb
(1)
100
185
72
8.7
86.2
18.3
17.8
Incandescent
Bulb
(1)
+
Flu-
orescent
Bulb
(1)
132
166
58
11.8
83.9
18.3
18.0
Incandescent
Bulb
(2)
+
Flu-
orescent
Bulb
(1)
192
144
49
20.3
79.8
18.3
18.3
Ceiling
F
an
(1)
120
171
53
10.7
84.1
18.3
18.5
CPU+Display
unit
(1)
250
127
13
29.9
74.6
18.3
19.1
T
able
4.
Cost
allocation
of
the
de
v
eloped
prototype
Subsystem
Expendi
ture
($)
Battery
7.67
Char
ger
&
its
Controller
5.95
In
v
erter
&
its
Controller
11.26
Relay
&
Switching
Circuit
3.64
T
otal
28.52
4.
CONCLUSION
Ef
ficient
and
cost
ef
fecti
v
e
po
wer
electronic
switching
con
v
erters
based
emer
genc
y
back-up
po
wer
supply
systems
are
significant
alternati
v
es
to
poorly
re
gulated
and
e
xpensi
v
e
grid
po
wer
netw
orks,
especially
in
the
re
gions
which
f
ace
frequent
grid
po
wer
outages.
In
this
article,
design
and
practical
considerations
in
re
g
ard
to
implementation
of
a
grid-tied
emer
genc
y
utili
ty
back-up
for
medium
and
lo
w
po
wer
consumer
usage
are
presented.
A
4-switch
push-pull
in
v
erter
circuit
is
de
v
eloped
to
support
loads
alternati
v
ely
with
the
mains
po
wer
line.
Modified
square
w
a
v
e
v
oltage
signals
are
generated
at
the
grid
fundamental
frequenc
y
by
the
back-up
unit.
The
in
v
erter
is
sourced
by
an
ener
gy
storage
de
vice
(battery),
which
is
char
ged
by
a
rectifier
-
fed
PWM
signal
switched
boost
con
v
erter
.
A
DPDT
configured
changeo
v
er
relay
mak
es
the
instantaneous
Int
J
Elec
&
Comp
Eng,
V
ol.
10,
No.
6,
December
2020
:
6233
–
6243
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Elec
&
Comp
Eng
ISSN:
2088-8708
r
6241
transfer
operation
between
the
grid
and
the
customized
po
wer
supply
system.
Ov
er
-v
oltage
and
o
v
er
-heat
protection
schemes
are
pro
vided
for
the
battery
through
an
SPDT
rel
ay
switching
circuit,
which
controls
the
char
ging
operation.
Control
units
to
generate
switching
PWM
signals
of
respected
frequencies
are
de
v
eloped
in
this
w
ork.
A
laboratory
prototype
is
de
v
eloped
to
assess
the
performance
for
dif
ferent
loads.
The
p
e
rformance
e
v
aluations
and
o
v
erall
cost
estimations
corroborate
the
reliability
and
economic
feasibility
of
the
proposed
design
for
potential
consumer
applicat
ions.
A
more
compact
and
high
po
wer
sine
w
a
v
e
generating
po
wer
system
with
feedback
control
feature
is
a
future
scope
of
this
w
ork.
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BIOGRAPHIES
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UTHORS
Dhiman
Cho
wdhury
is
a
PhD
student
and
graduate
research
assistant
at
Uni
v
ersity
of
South
Car
-
olina.
He
obtained
Bachelor
of
Science
(B.Sc.)
de
gree
in
Electrical
and
Electronic
Engineering
in
2016
from
Bangladesh
Uni
v
ersity
of
Engineering
and
T
echnology
,
Dhaka,
Bangladesh.
He
w
ork
ed
as
a
f
aculty
member
(research
and
academic)
in
Daf
fodil
International
Uni
v
ersity
,
Dhaka,
Bangladesh
in
2016-2017.
His
researc
hes
are
in
fields
of
po
wer
electronics,
rene
w
able
ener
gy
,
microgrids,
signal
processing
and
control
systems.
Currently
,
he
is
w
orking
on
FPGA
based
real-time
models
de
v
elop-
ment
of
po
wer
electronic
con
v
erters
with
associated
control
system
interf
ace.
He
is
af
filiated
with
IEEE
as
a
student
member
a
nd
IAENG
as
a
me
mber
.
He
is
a
re
vie
wer
of
se
v
eral
journals
lik
e
IEEE
Systems,
IET
Po
wer
Electronics,
Ener
gies,
Sensors,
Sustainabilit
y
,
Processes
and
Applied
Sciences
(MDPI),
Applied
Ener
gy
and
Electric
Po
wer
Systems
Research
(Else
vier),
IEEE
Po
wer
and
T
echnol-
ogy
Systems
Journal,
International
Journal
of
Modelling
and
Simulation
and
Electric
Po
wer
Compo-
nents
and
Systems
Journal
(T
aylor
&
Francis)
and
Circuits
and
Systems
(SCRIP).
He
has
published
se
v
eral
journal
articles
and
conference
proceedings.
Int
J
Elec
&
Comp
Eng,
V
ol.
10,
No.
6,
December
2020
:
6233
–
6243
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