6
CHAPTER
2
2
Literature Review
This chapter provides a
literature
review
,
focusing on flyback topology in PV
applications.
F
lyback converter topology is considered a popular solution for
photovoltaic (PV) applications
and the
topology
fundamentally
has three operation
modes: discontinuous conduction mode (DCM)
[23
-
28, 31]
, boundary conduction mode
(BCM)
[32
-
34]
, and continuous conduction mode (CCM)
[29, 35, 36]
. Th
is
study gives
an insight
into the
propose
d modification
of
topology
and compares them
with
respect to
practical complexity, reliability, and efficiency.
2.1
Flyback converters in PV applications
Fig.
2
.
1
shows the basic configuration for a flyback converter
.
Apart from the input and
output capacitors, the topology only has
one
transformer,
one power
switch, and
one
unidirectional switch or a diode.
Its brief operation funda
mentally ha
s two operation
scene
s,
depending on the switch status
.
Firstly
,
the switch is activated. Current from the power source rushes into its path, going
through the transformer and the switch. As the switch conducts, the current rises linearly
in proportion to magnetizing inductance
of the transformer
.
7
Once the switch
has
been
turned off
, the current level through the transformer cannot
simply disappear. Shown in
Fig.
2
.
1
, the magnetizing inductance is represented as an
inductor paralle
l
to the
ideal transformer.
The current being uphe
ld by the inductance
starts to circulate into ideal transformer’s negative terminal instead.
As
the current
flows
out from the transformer’s secondary negative terminal, the diode conducts and thus
delivers the energy to
the
output side
.
As the transformer
is
connected to the output, the
output
terminal
voltage reflects onto the transformer
,
and
thereby the
magnetiz
i
ng
inductor as well. The secondary side
current level then decreases linearly.
INPUT
TERMINAL
OUTPUT
TERMINAL
POWER
DIRECTION
Fig.
2
.
1
: Fundamental flyback converter.
Working with this fluctuation of curr
ent in the transformer
, there are
three modes of
operation: discontinuous conduction mode (DCM), boundary conduction mode (BCM),
and continuous conduction mode (CCM). The difference is the level of current at the end
of each period during
a
steady state. It is
considered to be
in
DCM if it drops to zero
before reaching another period, and CCM if otherwise. BCM is when the current reaches
zero as the switch
is
activate
d
.
Flyback converters are po
pular in PV applications for their
simp
licity in hardware
structure. They also
provide
galvanic isolation, solving ground capacitor and line
11
achieved
. Additionally, it
has fast dynamic, has no reverse recovery issues, and requires
a
smaller transformer
[37]
. Although there are disadvantages associat
ed with
the mode,
most of them
can
be handled in the design stage
[37]
. In contrast to common belief in its
model,
the
dynamic model is actually the same
as that of the
CCM
[44]
.
Since the current increases linearly to the input voltage,
the
flyback inverter in D
CM
works perfectly without a current sensor
[23]
. Although it reduces the cost on sensor
devices, the input capacitor has to be large enough to minimize the ripple. As discussed
in the study, there is no need to use it to perform MPPT. This issue, however, could
be
fixed by including voltage into
the
control signal calculation
[43]
. With the voltage t
aken
into consideration, the topology allows
the magnitude of the
ripple
under
20%
, which can
produce
the
output current with 3.5% THD. The harmonics sharply increase with
a
stronger ripple. However, ripples do not affect only harmonics, but also cause
a
l
ower
power utilization level. In order to ensure proper MPPT, only 10% is tolerable as it
results in
an
acceptable 1% utilization loss.
Regarding studies in control issues, Zhang et al
[33]
suggest that, for ILFI, DCM has
higher efficiency than BCM for lower than 200W
instantaneous power
. It is studied under
the assumption that BCM has to vary its switching frequency to keep it in the mode and
often has to use high frequency. It is
also better to utilize only one set of flyback
converter
s
when the instantaneous power is lower than 125W
. This is because
the
switching loss is higher compared to the efficiency gain from sharing the loads. After the
system pass
es
125W points
,
th
is
study
proposes the second flyback converter set with its
own controller
be used
. The distribution of the reference signal, however, is not half by
half. The study proposes that, if the total amplitude is 2, the reference amplitude for each
13
Kim et al
[34]
takes the active forward snubber, or active clamp circuit (ACC), idea and
combines it
with soft
-
switching. The idea is to allow bi
-
directional flow of current by
putting only a rectifying MOSFET at the transformer’s secondary terminal. Unlike the
previous proposal, this study activates the ACC only at high power to preserve energy. A
capac
itor is put in parallel with the main switch to serve as
a
low power clamp system.
The rectifier switch has two functions: to provide low resistance path for
the
secondary
current, and to perform soft
-
switching. Its first duty is done by activating the swi
tch until
the secondary current reaches zero. This is
estimated by
sensing the input voltage for
accumulated energy and output voltage for
the
degrading rate. The switch is activated
again as the system
reaches
another period
and is
activated for a short t
ime depending on
the
line voltage. As the rectifier switch activat
es
, the current flows from the grid into the
transformer. Thus the main switch
of the
body diode is force
-
activated to allow reverse
direction current flows. With the diode activated, the vo
ltage across the main switch
disappears.
Thus,
soft switching is achieved
and
t
h
is
work confirms
that
the scheme
can
improve low power region efficiency
[24]
.
Fig.
2
.
4
shows the three
-
port flyback inverter proposed by Hu et al
[28]
. This topology
exploit the idea of the differences in instantaneous power level between the DC sourc
e
and the AC output. The control system divides the operation into two modes: when the
DC power is higher than the output and vice versa. The decoupling capacitor (Cd)
automatically takes energy from the leakage inductance when it is in the first mode. The
system then releases the energy from the capacitor by activating S2 and extending S1
operation after its presumed operation. In order to force deactivation of D2, a voltage
control loop is required to ensure hig
h voltage across the capacitor.
14
g
V
D
1
D
2
D
3
D
4
D
5
S
1
S
2
S
3
S
4
Cd
C
d
Fig.
2
.
4
:
Three
-
port flyback inverter proposed by Hu et al
[28]
.
Another solution proposed is
to combine
the
flyback converter with SEPIC topology
[25]
.
This is a
semi two
-
stage system proposed to reduce the input voltage ripple. With
the
combination
of a SEPIC and a flyback inverter, the energy is drawn from SE
PIC’s
capacitor instead of directly from the input. Thus
,
the input voltage does not have as high
a
ripple as
the
one stage system
,
since the power flow from the source is smoother. As a
result,
this type of
system allows lower capacitance values and makes
the
film capacitor a
feasible choice. In this work, a snubber circuit consist
ing
of only a capacitor installed
across the flyback switch is proposed. The leakage energy is taken into the capacitor once
the flyback switch is
automatically
deactivated and g
iven back to the linking capacitor.
Although the resulting averaged efficiency is not as high as most of the studies, this
topology has
a
considerable
less complex
control system compared to other clamping
proposals
.
2.4
Flyback converter in BCM
BCM is the bor
der mode between DCM and CCM. The current rises from zero and drops
to zero in every period. Thus, like DCM, ZCS is done automatically. Although this mode
15
does not require
a
closed
-
loop control system to shape the current like DCM, its control
system is ge
nerally much more complicated. Modeling for BCM consists of two
independent equations instead of one
,
since the control system has to vary both the duty
percentage and switching frequency
[45]
. It also has issues about switching loss since it
usually operates in varying high
frequency;
thereby its power density is lower than
the
DCM in low power levels
[26, 32, 46]
. Thus
,
a flyback inverter
which operates
BCM
operation
has been impractical until recently.
[47]
. It is more accep
table
, however, if it
operates in a mixture with DCM with the power level in consideration
[26, 46, 48]
.
Gao et al
[47]
offers
a
detailed analysis on an ILFI under BCM operation. The
mathematical models are de
scribed
in detail
,
along with other
information
related to the
operation. System hardware design procedures f
or each
of the
parameters are also
derived. Regarding the control, the operation is divided into three regions. The first
region is the blank mode.
This
is due to
the fact
that BCM operation utilize
s
high
switching frequency
,
especially in low power
,
in or
der to remain in BCM. Th
erefore,
the
required frequency is not feasible when the instantaneous power is very low. The second
zone is to utilize one flyback set under BCM. This mode goes on until the reference
current crosses another value. This value could
well be half
-
rated power as the next mode
is activating another flyback set. The reference signal is divided by half for each flyback
set with
a
master
-
slave relationship between their controllers.
In this type of
relationship
,
the system can utilize 2
-
phase control by activating only one switch at a time to ease
discontinuity in the output. The proposed control system utilizes
the
peak current mode
(PCM) control by using comparators and flip
-
flops logic guided by reference
and
calculated by a processor embedded with
the other necessary
calculations. Th
is
work also
16
discover
ed
that the reference signal should not vary alone by a sinusoid term, but
by
two
combined.
The e
xperimental stage shows promising results with high overall ef
ficiency
and also satisfying regulations.
There are other works focusing on mixing DCM and BCM together in order to reach
optimal operation. Kyritsis et al
[26]
weigh
s up
the advantages and disadvantages
of
the
two modes. The study shows that DCM is preferable
,
si
nce BCM complicates the system
while still have the same disadvantages of DCM. The only point
in which
DCM is
inferior to BCM
,
is
in its
ability to perform conversion for high power applications. BCM
operation extends the limit of the devices and thus has
higher capacity in terms of rated
power. Considering power density, however, only in high power range
is
BCM better
than DCM. This work claims BCM could have as high as 97% in
the
higher zone.
Zhang et al
[46]
continue
d
the study on this optimization by
further
analyzing
the
control
schemes for BCM operation. There are two major control
operations
for BCM: open
-
loop
and closed
-
loop. The open
-
loop control scheme r
elies heavily on predefined calculations
and parameters. This is
barely
practical
,
especially if soft
-
switching is desired.
Since
BCM is the borderline between CCM and DCM operations
,
a
minor mistake on
the
parameters, especially magnetizing inductance, co
uld leap the system into instability if
CCM is somehow achieved. Delay time is used to ease the concern, but at the cost of
efficiency. The closed
-
loop scheme is the aforementioned PCM control.
This type of
control scheme takes
the
raw current value
and co
mpares it with the
reference signal
calculated from
the
MPPT scheme. In addition, the author proposes
the
phase
synchronization scheme in case of
an
inductance mismatch by using the comparators
output and calculat
ing
the phase error from the model mismatch. In this case
,
the system
18
st
udies
have been carried out on this,
until recently
[29, 35, 36]
when a
proposal
for
creating a low cost AC module without complex procedures of programming
was
originated
. Li an
d Oruganti
[29]
propose
d
design steps for a flyback inverter including
control system design in detail. The control system, excluding the MPPT, consists of only
an analogue representation of
a
type
-
2 compensator
and a
rough mathematical model
derivation is given. Unlike DCM and
BCM operations, this control system for CCM
works well in any modes without any stability issues. The experimental results show
promising
a
future for the CCM flyback inverter as such
a
simple system could achieve
high efficiency
,
while
at the same time me
et the requirements of
the grid codes. Thang et
al
[36]
shift the focus on detailed modeling for better control design and propose
a
DC
current rejection system to cancel the DC curr
ent injection
,
in case the system produces
one. The resulting efficiency
stays steadily on
the 90% line
,
even in the lower power
range. However, th
is proposed is
still composed of only analogue devices, providing no
room for adjustments in functionality.
I
t is
well known that controlling
the
output current is
a
better way
of
controlling
flyback
converter in CCM
,
due to its
highly discontinuous nature of primary current
[49]
. The
output current, however, could be sensed after the output filtering part,
and therefore
could be
also
implemented for discrete control system. Edwin et al
[35]
offer
a
mathematical model fo
r the ILFI as a second order model. With th
is
model, a PI
controller should be enough. The author claims, however, that
the
second order is not
enough
to
control the output current since the sensed current contains the dynamics of the
CL filter. Thus
,
the
fourth order system is proposed
and
the
type
-
2 compensator is
thereby required. The resulting efficiency, similar to
the
aforementioned works, is high
,
1
9
with the value mostly running around 90% with the claimed peak at 95.7%. Sensing the
output current, however, ceases the possibility of sharing the unfolding bridge with other
MICs as proposed in
[36]
.
2.6
Summary
This chapter include
d
a review of
previous research regarding
the
flyback inverter for PV
applications. The topology is organized by its operation modes into DCM, BCM, and
CCM. While the early works focused on the DCM operation
, BCM and CCM
has also
recently been gaining in attention
. The DCM provides simplicity with high efficiency at
low power range, but with high device stresses. The BCM increases the control
difficulties in calculation and
the
DSP process, but being in betwe
en CCM and DCM
means that
the mode
also shares
both of their advantages and disadvantages. Recently
initiated, CCM flyback for PV application introduces itself to be another appealing
choice
,
since it achieves high efficiency across all the power range, bu
t it also has control
issues
. In addition,
soft switching is not easily realized.
Acknowledging this, the next
chapter proposes a CCM flyback topology and its control scheme. The evaluation
of the
proposed system
is then partitioned into two chapter
s
: theo
retical and experimental.