Boost-buck Push-pull Converter for Very Wide Input Range Single Stage Power Conversion
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Transcript of Boost-buck Push-pull Converter for Very Wide Input Range Single Stage Power Conversion
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8/10/2019 Boost-buck Push-pull Converter for Very Wide Input Range Single Stage Power Conversion
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BOOST-BUCK PUSH-PULL CONVERTER
FOR VERY WIDE
INPUT RANGE SINGLE STAGE POWE R
CONVERSION
Jonathan J. Albrecht
Jason
Young,
William
A.
Peterson
Martin
Marietta Control Systems
Johnson
City, New York
ABSTRACT
In many avionics systems, the power supply
is
required
to operate over a very wide input voltage range. In these
aircraft systems the power supplies are powered off
a
Permanent Magnet Generator (PMG). The PMG, which
is typically mounted via gear box to the engine
of
the air-
craft, outputs a voltage proportional to the speed
of
the
engine.
It is
usually required to have the avionics start
at very low engine speeds and operate up t the maxi-
mum
engine speeds.
To operate over
this
large input
range, power converter stages are cascaded to reduce the
input range down to manageable levels. The last con-
verter stage then prov ides the filtering, isolation, scaling
and regulation for
the
avionics system. Additionally, air-
craft power sources are provided for backup power
and
typically require power factor correction. Active power
factor correction is also performed with
a
separate cas-
caded pre-regulator converter. Multiple power conver-
sion stages reduce efficiency, increase cost, and increase
size of the power supply system. The power converter
described herein combines the aforementioned functions
into
a
single conversion stage. The converter is
a
push-
pull converter that has both buck and boost regulator
characteristics. At low input voltage the push-pull con-
verter acts
as
a boost, and at high input voltages it acts
as
a buck converter. For power factor correction applica-
tions,
this
push-pull converter, by transitioning between
the boost
and
buck operating modes,
is
able
t
shape the
input current.
OPERATION
To
describe the operation of the new push-pull convert-
er, both modes of operation, boost and buck, will be
as-
cussed separately. A simplified circuit schematic of the
Boost-Buck Push-Pull Converter is shown
in
Figure 1.
The circuit consists
of
a Push-Pull converter with an in-
ductor placed between the input source and the Push-
Pull center tap. The Boost-Buck Inductor is referred to
as an inductor, rather than a transformer, since most of its
characteristics
in
both operational modes are that of
an
inductor. The primary to secondary turns ratios
(N)
of
both magnetics, the Boost-Buck Inductor and the Push-
Pull Transformer, are the same.
INPUT
SOURCE
N
D
BOOST-BUCK
IPl N:l
INDUCTOR
PWM-1
PWM-2
D I
g-f
vo
D2
+
Figure 1.Boost-Buck
Push-pull
Converter
303
0-7803-2482-X/95
4.00
995
EEE
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BUCK OPERATION
The converter will operate in
the
Buck Mode when the
input voltage is greater than NVo. Operating in
this
mode, switches Q1 and Q 2 will be run at
less
than 50%
duty-cycle and
180
out-of-phase
with
each other,
as
shown infigure 2.
This
means that there will be
two
seg-
ments of time
in
each cycle in which both Q1 and Q2 will
be in the off state. This is typical of the Push-Pull con-
verter.
Referring to figure 2, the discussion of the buck mode
operation begins at time
to
when Q1 turns on and Q2 is
off. With
Q1
on, current Ipl flow s through transformer
winding P1 and inductor winding P3. The Boost-Buck
Inductor stores energy due to a VIN-NVO voltage across
it, and the primary current Ip1 begins to ram p up through
winding P3. The current Ipl through winding P1 causes
a secondary current to flow in winding S2 via transform-
er action. This secondary current flows ou t to the load
through diode D2. At time
t l
Q1 turns off,
Ipl
falls to
zero and D2 stops conducting. The energy stored
in
the
boost-buck inductor during the time Q1
was
on now dis-
charges as a current flow through the secondary winding
S3
and out to the load through diode
D3.
The magnitude
of the current is NIpl. At time t2, Q2 switches on while
Q1
remains off. Now primary current Ip2 flows through
windings
P2
and P3. The current through winding
P2
causes a secondary current to flow in winding S1 via
transformer action.
This
secondary current flows out to
the load through diode D
1.
Ip2
begins to ramp up through
the boost-buck inductor winding
P3
and again energy is
PWM-1
PWM-2
BOOST-BUCK
INDUCTOR
VOLTAGE
PRIMARY
CURRENT
IP1 + In
OUTPUT
CURRENT
stored in the inductor. At time tg, 42 turns off,
Ip2
falls
to
zero and D1 stops conducting. The energy stored in
the boost-buck inductor when Q2 was
on
now dis-
charges as a current flow through the secondary winding
S3 and out to the load through diode D3. The magnitude
of this current is NIp2. This cycle is repeated at time t4
at a constant frequency
( l / ~ ) .
The
turn-on times of Q1
and Q2 to and t2, respectively) are always a constant
half-period apart.
From
this
description and the waveforms of Figure 2,
this converter acts as a Buck converter by storing excess
input energy in an inductor during the switch on times
and transfemng
this
stored energy to the output during
the switch
off
times. Additionally, while operating in
this
mode the converter exhibits discontinuous input cur-
rent and continuous output current, just as a buck con-
verter does.
The integral
of
the Boost-Buck inductor voltage over
one time period (T)must be zero. Therefore, from figure
2
The variable
bg
an be expressed in terms of
T
and
to,,
a
(2)
T
to,
- --
on
Using
(1)
and (2) the input
to
output transfer characteris-
tic for Buck mode operation is
2avIN
v, =
(3)
where
a
=
Duty Cycle of one switch
bn/T)
V o = Output Voltage
VIN
=
Input voltage
N =
Turns Ratio (of both transformers)
From figure
2,
the
peak
voltage across each
of
the
switches occurs when both switches are off and the
boost-buck diode, D3,
is
conducting. At
this
point, the
drain-t+source voltage, V&, is VIN
+
NV,.
This
is
less
than the 2vIN vo ltage normally seen across the switches
in a classical push-pull converter.
This
allows the de-
signer to select lower rated switches.
Figure 2. Buck Mode Simplified Converter
Waveforms
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BOOST OPERATION
BOOST-BUCK
INWCTOR
V 1 N - ~ ~ j [ '
The Push-Pull converter will operate in the Boost Mode
when the input voltage is less than NVo. In Boost mode
the duty-cycle
of
both switches is increased to
greater
than
50%.
This means that Q1 and Q2 will be on at the
same time for portions of the switch period (T). The
switch period
(T)
and
the
delay time
T/z)
are kept
constant for both the boost and buck operational modes.
Typical PWM-1 and PWM-2 gate drive signals are
shown in Figure 3.
D2
Figure
4.
Boost Mode
- Flux
Cancellation
Referring to figure 3, the discussion of the boost mode
operation begins at time to when Q1 s turning on and Q2
is already on. During this time, current
Ipl
flowsthrough
transformer winding PI and current
Ip2
flows through
transformer winding P2.
A
redrawn circuit
of
the time
interval is show n inFigure4.With Ip2 flowing into th e
dotted side of the P2 winding , and
Ipl
flowing out of
the dotted side of the
P1
winding, equal but opposite
fluxes are developed in the transformer core. These
fluxes cancel and form an effective short circuit across
the transformer primaries. With this short circuit across
the transform er, a vo ltage equal to
VIN
is placed across
the winding P3
of
the Boost-Buck Inductor. This volt-
age causes the current to ramp up in the inductor and the
inductor begins
to
store energy, as seen in figure
3.
Next,
at time
t l ,
Q2 turns
off
while
Q1
remains
on.
With Q2
off,
Ip2
stops flowing through winding P2 and the flux
cancellation across the transformer primaries ceases.
W T +
* /e:
1 1 1 1
1 1 1 1 1
t tl tz t3 14
b n t o n b n h
BOOST-BUC
INDUCTOR
VOLTAGE
RIMARY
CURRENT
OUTPUT
CURRENT
Figure
3.Boost
Mode Sim plified Converter
Waveforms
Energy is now transferred to the secondary via trans-
former action. The magnitude of this energy is equ al to
the input voltage (Vin) plus
the
energy stored in the
Boost-Buck Inductor. During
this
portion of the switch
period, the voltage polarity on winding P3 reverses at a
magnitude of NVCJ-VIN and current begins to ramp
down. Diode D2 is forward biased and provides current
flow from secondary winding S2 to the output load. At
time t2, Q2 turns back on while
Q l
remains in the on
state. Again, equal but opposite fluxes are developed in
the transformer and both primary windings, P1 and
P2,
form a shor t to ground. The Boost-Buck Inductor stores
input energy, and no energy is transferred to the outputs.
At time t3, Q1 urns off while Q 2 remains on. With Q1
off, Ipl stops flowing through winding PI and the flux
cancellation
across
the transformer primaries ceases.
Energy is now transferred
to the
secondary hrough diode
D1.
Again, the magnitude of
this
energy is equal to the
input voltage (Vin) plus the energy stored in the Boost-
Buck Inductor. During
this
portion
of
the switch period,
the voltage polarity on winding
P3
reverses and current
begins to ramp down. Thiscompletes he switching peri-
od. Thiscycle is repeated at time t4 at a constant frequen-
cy ( l / ~ ) . he turn-on times of Q1 and Q2
to
and t2, re-
spectively) are alway s a constant half-period apart, just
as in the buck mode of operation.
From this description and the waveforms of Figure 3, the
Push-Pull converter in this mode of does act as a Boost
converter by storing excess input energy in an inductor
during the switch on times
b,)
and transferring this
stored energy plus Vin
to
theoutput during the switch
off
times (toff). Additionally, while operating i n
this
mode,
the converter exhibits continuous input current and
dis-
continuous output current, ust like a boost converter. It
should be noted that winding
S3
and diode D3 do not
supply current to the load during boost operation.
Since the integral of the Boost-Buck inductor voltage
over one time period (T) must be zero, the equation for
the inductor voltage is,
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2 V O I I = 2t o f f ( wO
VpJ)
4)
5 )
Variable toff can
be
expressed in terms of T and ton as,
T
toff
=
on
Since
a s
the duty-cycle of each switch, it can
be ex-
pressed
as
Using
4),S ) ,
and
(6)
the input to output transfer charac-
teristic for Boost mode operation
is
'IN
v, =
2(1 -
a)N
7)
From figure
3,
the peak voltage across each of the
switches in boost mode occurs when one switch is off
and one is on. At this poin t, vds is just NV,.
BOOST-BUCK TRANSITION
The novel aspect of
this
converter is that it exhibits the
transfer characteristics
of
two different power converter
topologies, boost and buck,
by
changing only the duty
cycle of the power switches
Ql
and
Q2.
Using both the
boost and buck modes, operation over very large input
voltage swings are achievable. Depending on the type
of
control method used, transitioning between the two
modes is smooth and unnoticeable to down stream cir-
cuitry.
Part
of
this
can be seen graphically
by
plotting
both transfer equations (equations
3
and 7) on the same
axis. Duty-Cy cle verses Input Voltage for both modes
is shown
in
figure 5 .
Both
transfer characteristics con-
verge at the
50%
duty cycle point. This allows for a
smooth transfer from one mode to the other.
1.25
1 oo
0.75
2
0.50
c
0.25
0
CONDITIONS:
N
= 1 (tums ratios)
Vout
= 3 5 ~
C
0 2 40
60 80
100 120 140
INPUTVOLTAGE (VDC)
Figure
5.
Boost and Buck Transfer
Characteristics
During
this
transition, the inductor curren t
has
no ripple
because there
is
no voltage across
it.
The input voltage
VIN
s exactly equal
to
NV,. Although
this
condition is
desirable, difficulty arises when using peak current mode
control to control the converter since there
is
no slope.
This
easy transition characteristic
also
lends itself to
power factor correction applications where the converter
must transition between the boost and buck modes, at the
frequency of the input voltage source, to force the input
current to follow the inpu t voltage.
If
a
negative voltage rail is required for a given app lica-
tion, a negative windmg can be added
to
the Boost-Buck
Inductor with an additional diode
as
shown
in
Figure
6.
t
w
PWM-1
1
BOOSTBUCK
INDUCTOR
-
T
+
Figure 6.Boost -Buck Push-Pull ConverterWith Negative Output
+vo
vo
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WEINBERG'S CONVERTER
A.H.
Weinberg developed apo wer converter
in
the
1970s
for satellite applications that used a similar concept.
Weinberg's goal was to develop
a
boost converter that
provided continuous output current. Continuous output
current allowed output filters to be smaller thus achiev-
ing weight savings.
Weinberg's converter, shown in Figure
7
as the convert-
er described herein is based on a push-pull converter.
Additionally, Weinberg uses a tapped inductor in the
Push-Pull centertap. The inductor tap ratio and trans-
former turns ratio are equal.
To describe the operation of Weinberg's converter the
condition of
Q1
switching on
with Q off
will be consid-
ered first. When Q1 turns on a voltage equal to Vin -
N(Vo -Vin)
is
place across the
L1
inductor.
This
cause
the primary current to ramp up and the inductor begins
to store energy. The current through the
Q1
switch
causes a current to flow through transformer winding
T/3,
diode
D1,
and out to the output capacitor and load.
When Q1 is switched off, the voltage on the
L1
inductor
reverses and the stored energy is discharged as
a
current
through the
L2
inductor tap through D3, and out to the
load.
This
sequence repeats for the second half of the
cycle when
Q2
turns on. The simplified converter wave-
forms for Weinberg's boost converter are shown in Fig-
ure
8.
Although similar, Weinberg's converter is non-isolated
and runs only
in a
single conversion mode, similar to the
buck mode discussed herein. Weinberg's converter nev-
er has both sw itches on
at
the same time (ie. duty cycles
above
50 ),
herefore does not transition between con-
version modes. With only one conversion mode, the
L1
INDUCTOR
VOLTAGE
PWM-1
.-
-
nr-N(Vo-yln)
RIMARY
CURRENT
Figure 8. Weinberg's C onverter Waveforms
converter can not operate over
a
wide input voltage
range.
EXPERIMENTAL RESULTS
A 150W
converter was breadboarded using
this
design.
The output voltage was regulated to 25 V w hle the input
voltage varied from
10
to 200 V. A
2:1
turns ratio was
used for both magnetics. A switching frequency of
5OoKhz for each switch was selected to reduce the size
of the magnetics.
Figure
9
shows typical converter waveforms
in
buck
mode when the input voltage is at 100 V. The top two
waveforms show
the
duty cycle of the switches to be at
25 . The next waveform shows the input current
through the boost-buck inductor on the primary side
while the next waveform shows
the
current through
the
same inductor on
the
secondary
side. These
two wave-
forms show energy being stored in the primary side dur-
ing switch on time, and that same energy being trans-
ferred to the secondary during the off time.
Figure
10
shows typical converter waveforms at the
boost-buck transition point when the input voltage is at
50
V.
The top two waveforms once again show the duty
cycle of the switches to be at
50%.
The next waveform
shows
th
primary side boost-buck inductor current.
As
was sta ted earlier, the ripple current at thispoint
is
nearly
zero. The final waveform shows the output current.
Figure
11
shows typical converter waveforms in boost
mode where the input voltage is at
25V.
The top two wa-
veforms show the duty cycle
of
the push-pull switches
to be 75%. The next waveform shows the current
through the buck-boost inductor (primary side), and the
P
Figure 7. Weinberg's
Boost
Converter
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f
T
c
c
Figure 9. Converter W aveforms in
Buck Mode
Figure
10.
Converter Waveforms at the
Boost-Buck Transition
, ...
Figure11. Converter Waveforms in
Boost Mode
REFERENCES
1.A.H. Weinberg, A Boost Regulator With A New
Energy-Transfer Principle, Proceedings of
the Spacecraft Power Conversion Electronics
Seminar,
1974
final waveform shows the current through the output rec-
tifying diodes.
3 8