Power Amps 6

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    Cross-Over DistortionThe non-zero turn-on voltage of a transistorcauses cross-over distortion in a class B

    output stage.

    Approximatetransistor

    response.

    vin

    vout

    VBE0

    Ideal

    response

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    Eliminating Cross-Over Distortion

    vin

    vout

    NPNresponse

    NPN responsefor vB=vIN+0.7

    PNPresponse

    PNPresponse forvB= vIN-0.7

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    Class AB Output Stage

    Eg. Positive half cycle:

    biasinB Vvv

    1

    BEbiasinBEBout

    BEB

    VVvVvv

    Vv

    1

    1If

    inout

    BEbias

    vv

    VV

    If

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    Practical Class AB Stages In practice, there isnt an exact turn-on

    voltage (VBE).

    Vbiasis set slightly high so that there is a non-zero quiescent collector current.

    Each transistor will now conduct for slightly

    more than 180 - i.e. Class AB operation.

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    Class AB Efficiency Slightly more power is dissipated using a

    class AB stage compared with a class B due

    to the non-zero quiescent collector current. In a well designed circuit, this extra power

    should be insignificant so the class B

    efficiency calculations are still valid.

    I.e. maximum efficiency = 78 %.

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    Thermal EffectsThe quiescent collector current depends on VBEand alsoon the junction temperature. So, in designing the biasing

    network, thermal effects must be considered.

    Net result is that if VBEis fixed, ICrises exponentiallywith temperature.

    kTqVII

    kT

    qVII

    GGS

    BESC

    exp

    but

    exp V6.0BEV

    V2.1GV

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    Thermal Effects

    20 30 40 50 600

    0.4

    0.8

    1.2

    Temperature [C]

    C

    ollectorCurrent[mA](VBE=0.5

    V)

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    Thermal RunawayCollector Current Flows, so

    power is dissipated

    Temperature rises

    Collector current rises

    Power dissipationincreases

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    Suppressing Thermal Runaway Fit a bigger heatsink.

    Use series emitter-resistors.

    Use a temperature dependent bias voltage.

    The latter two are preferred methods. Both

    introduce negative feedback.

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    Emitter ResistorsREEBBEbias VVVV 22 21

    So, if ICrises, VBEfalls andICis reduced.

    Note REshould be smallcompared with RLto minimise

    power wasted.

    By symmetry:

    ECbias

    REbiasEBBE

    RIVVVVV

    21

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    Bias VoltageThe VBEMultiplier

    2

    115.0R

    RVbias

    2

    1121

    R

    RVRIV BERR

    2

    1

    2

    121 1

    RRVV

    RRVVVV BEBE

    BERRbias

    Base current is negligible, so:

    221 R

    V

    II

    BE

    RR

    VBE

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    VBEMultiplierTemperature Effects If junction temperature rises but ICstays the

    same, VBEmust fall causing Vbiasto fall also.

    Negative thermal feedback achieved if thetransistor is in close contact with the output

    devices.

    Especially suitable for integrated circuits

    where close thermal contact is guaranteed.

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    Design Example(i) RELet RL= 16 Wand Amax= 12 V.(Also assume Vout= 0 throughd.c. feedback).

    V3.147.015(max)1(max)1 BEBE VVV

    WW 2Let3 EE RR

    1216

    163.14

    maxmax1

    E

    LE

    LE

    R

    ARR

    RV

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    Design Example(ii) Ibias

    mA10LetmA75.3

    20016

    12

    (min)

    (max)

    (min)

    (max)1

    (max)1

    bias

    bias

    L

    C

    Bbias

    II

    R

    AIII

    NB. Ibiasis set well aboveminimum to ensure that a

    significant current flows throughthe VBEmultiplier.

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    Design Example(iii) VbiasPeak output current = 0.75 A,choose quiescent collector currentto be small by comparison, e.g.

    V5.1

    2025.027.02

    22

    mA2521

    bias

    REBEbias

    CC

    V

    VVV

    II

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    Design Example(iii cont) VbiasFor constant bias voltage,

    mA1chooseso 1

    13

    R

    biasRB

    I

    III

    k12

    5.115.0

    21

    2

    1

    RR

    RRVbias

    W

    500

    5.0

    2

    212

    R

    RIVV RBER

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    Class ABSummary Class AB achieves the efficiency of a class B

    output stage but without cross-over

    distortion. Biasing arrangements are more complex,

    however, as the threat of thermal runaway

    must be eliminated.