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

    304

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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

    306

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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

    307

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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