Power Amplifiers PartII[1]

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    The previous classes, A, B, and AB are considered linear

    amplifier,

    where the output signals amplitude and phase are linearly

    related

    to the

    input signals amplitude and phase.

    In the application where linearity is not an issue, and efficiency is critical,non-linear amplifier classes (C, D, E, or F) are used.

    Class-C amplifier is

    the one biased

    so

    that

    the output current is

    zero

    for

    more than one half of an input sinusoidal signal cycle. A tuned circuit or filter is

    a necessary part of the class-C amplifier.

    Class C Power Amplifier

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    VCC

    RL

    vo

    RFC

    CC

    -VB

    C Lvs

    RL

    R2

    R1

    The transistor is

    biased

    with

    a negative

    VBE

    . Thus

    it

    will

    conduct only when

    the input signal is

    above

    a specified

    positive value.

    i.e. transistor ON when vin > VBB + VBE

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    The power dissipation of the transistor in a class-C amplifier is

    low

    because it

    is

    on for only a small

    percentage

    of the input cycle

    The output consists

    ofblips at

    the frequency of the input.

    Since

    this

    is

    a periodic

    signal, it

    contains

    a fundamental frequency

    component plus higher-frequency harmonics.

    If this

    signal is

    passed

    through

    an inductor-capacitor

    (LC) circuits tuned to

    be

    resonant at

    the fundamental frequency, the output is

    approximately

    a

    sinusoidal

    signal at

    the same frequency as the input.

    This approach

    is

    often

    used

    if the signal to be

    amplified

    is

    either

    a pure

    sinusoid

    or a more general signal with

    a limited

    range of frequencies.

    The resonant frequency of the tuned circuit is

    determined

    by the formula

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    )cos(sinI

    )t(i

    )(IcosI)t(i

    )wt(dI)wtsin(I

    )wt(d)wt(i)t(i

    sinII

    otherwise

    wtI)wtsin(I)t(i

    PC

    DPC

    DP

    CC

    PD

    DP

    C

    2

    22

    2

    1

    2

    1

    222

    0

    2

    0

    )sin(I

    I

    )wt(d)wtcos()wt(iII

    P

    Clfundamenta

    222

    1

    1

    1

    -ID

    Ip

    2

    -

    iC

    (t)

    LLce iRv ac

    load line

    CECC VV

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    2

    2

    2

    22

    8

    )sin()cos(sin

    LPPCCD

    LIND

    RIIVP

    PPP

    )cos(sin

    )(

    PCC

    CCCIN

    IV

    VtiP

    )cos(sin

    sin

    4

    22

    IN

    OUT

    P

    P

    2

    2

    2

    2

    1

    228

    2

    )sin(RI

    P

    RIP

    LPL

    LL

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    Performance Chart

    PL

    PD

    100%

    PIN 4

    2

    CCPV

    I

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    Class D Power Amplifier

    In a class D amplifier, the output filter blocks all harmonics;

    i.e., the

    harmonics see an open load. So a voltage square wave

    is generated.

    The current is in phase with the voltage applied to the filter, but the voltage

    across the transistors is out of phase.

    Therefore, there is a minimal overlap between current through the transistorsand voltage across the transistors. The sharper the edges, the lower the overlapBasic operation

    Class

    D amplifiers work by generating a square wave of which the low-

    frequency portion of the spectrum is essentially the wanted output signal.

    The high-frequency portion serves no purpose other than to make the wave-form binary so it can be amplified by switching the power devices

    The term "digital amplifier" has gained currency to denote class D amplifierswith significant amounts of digital processing in them .

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    A passive low-pass filter removes the unwanted high-frequency components,

    i.e., smooths

    the pulses out and recovers the desired low-frequency signal.

    The switching frequency is typically chosen to be ten or more times the highest

    frequency of interest in the input signal.

    This eases the requirements placed on the output filter

    Theoretical power efficiency of class

    D amplifiers is 100%. That is to say, all of

    the power supplied to it is delivered to the load, none is turned to heat.

    This is because an ideal switch in its on state will conduct all current but has

    no voltage across it, hence no heat is dissipated.

    And when it is off, it will have the full supply voltage standing across it, but no

    current flows through it. Again, no heat is dissipated.

    Real-life power MOSFETs are not ideal switches, but practical efficiencies well

    over 90% are common. By contrast, linear amplifiers are always operated with

    both current flowing through and voltage standing

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    Class D

    )sin(

    )sin(

    )(

    2

    4

    2

    2

    2

    1

    2

    1

    1

    44

    4

    4

    4

    4

    kk

    A

    TkTk

    A

    j

    ee

    Tk

    A

    dteA

    T

    a

    AdtA

    Ta

    dtetxT

    a

    o

    o

    TjkTjk

    o

    T

    T

    tjk

    k

    T

    To

    T

    tjk

    k

    oo

    o

    o

    Fourier Transform of a square wave

    )sin(

    )sin(

    )(

    2

    4

    2

    2

    2

    1

    2

    1

    1

    44

    4

    4

    4

    4

    kk

    A

    TkTk

    A

    j

    ee

    Tk

    A

    dteA

    T

    a

    AdtA

    Ta

    dtetxT

    a

    o

    o

    TjkTjk

    o

    T

    T

    tjk

    k

    T

    To

    T

    tjk

    k

    oo

    o

    o

    Fourier Transform of a square wave

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    Half-wave rectified signal

    %100IN

    OUT

    P

    P For ideal MOSFET

    onL

    L

    IN

    OUT

    RR

    R

    P

    P

    For Non-ideal MOSFET

    %100IN

    OUT

    P

    P

    L

    L

    p

    L

    R

    VR

    VP

    2

    21

    2

    82

    L

    IN

    L

    DD

    DDIN

    R

    VP

    R

    Vii

    iViVP

    2

    21

    21

    21

    2111

    8

    4

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    The binary waveform is derived using Pule Width Modulation (PWM),

    sometimes referred to as pulse frequency modulation

    The most basic way of creating the PWM signal is to use a high speed

    comparator that compares a high frequency triangular wave with the audio input.

    This generates a series of pulses of which the duty cycle is directly

    proportional with the instantaneous value of the audio signal.

    The comparator then drives a MOS gate driver which in turn drives a pair of

    high-power switches .(This produces an amplified replica of the comparator's

    PWM signal).

    The output filter removes the high-frequency switching components of the

    PWM signal and recovers the audio information that the speaker can use.

    DSP-based amplifiers can be used to generate a PWM signal directly from a

    digital audio signal .

    Signal modulation

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    Design Challenges

    Two significant design challenges for MOSFET driver circuits in

    class

    D

    amplifiers are keeping dead times and linear mode operation as short as

    possible.

    "Dead time" is the period during a switching transition when both output

    MOSFETs are driven into Cut-Off Mode and both are "off".

    During dead time, the current generates large high frequency current

    waveform and causes EMI noises.

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    Dead times need to be as short as possible to maintain an accurate low-

    distortion output signal, but dead times that are too short cause the

    MOSFET that is switching on to start conducting before the MOSFET that is

    switching off has stopped conducting.

    The MOSFETs effectively short the output power supply through

    themselves, a condition known as "shoot-through".

    Meanwhile, the MOSFET drivers also need to drive the MOSFETs

    between switching states as fast as possible to minimize the amount of time

    a MOSFET is in Linear Mode, the state between Cut-Off Mode andSaturation Mode where the MOSFET is neither fully on nor fully off and

    conducts current with a significant resistance, creating significant heat.

    Driver failures that allow shoot-through and/or too much linear mode

    operation result in excessive losses and sometimes catastrophic failure of

    the MOSFETs