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5193Ch11 Power Amplifier 1

Feb 27, 2018

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    Power Amplifers

    Power Amplifers are used in thetransmitter

    There are dierent classes or the poweramplifer

    Class A, Class B, Class AB, Class C, ClassD

    and Class E

    Those amplifer diers in their angle o

    conduction, eciency, linearity and the inthe amount o distortion they introduce tothe system

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    Power Amplifers

    Class AClass A

    The amplifer conducts through theull 360

    o the input. The Q-point

    is set near the middle o the loadline.

    Class BClass BThe amplifer conducts through

    !0

    o the input. The Q-point is setat the cuto" point.

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    Power Amplifers

    Class ABClass AB

    This is a compromise #etween theclass A and B amplifers. The amplifer

    conducts somewhere #etween !0and 360 . The Q-point is located#etween the mid-point and cuto".

    Class CClass C

    The amplifer conducts less than !0o the input. The Q-point is located#elow the cuto" le$el.

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    Power Amplifers

    Class %Class %

    This is an amplifer that is #iasedespeciall& or digital signals

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    Class C power amplifers Class C amplifer is o!tained i the output

    current conduction angle is less than "#$

    Class C ha%e a greater eciency than !othclass A and class B

    Class C also ha%e larger distortion comparedwith the A and B

    Class C amplifer is used when there is no%ariation in signal amplitude and the outputcircuit contains a tuned circuit to flter out theharmonics

    Class C amplifer is used or applications similarto &' 'odulation

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    Class C power amplifers

    The output o the class C conducts orless than "#$ o the AC cycle

    The ()point is !elow cuto as shown!elow

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    Power Amplifers Class C

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    Class C power amplifer

    The circuitshown to thelet will !econsidered in

    analysis o theclass Camplifer

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    Class C power amplifer

    The amplifer eciency can !e computedrom the ollowing e*uation

    The output power is the AC power +owingin the load resistance

    The input power is the supply power which

    can !e determined rom the multiplicationo the supply %oltage and the a%eragecollector current

    The main step in the analysis is tocom ute the a%era e collector current

    DC

    AC

    i

    o

    P

    P

    P

    P==

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    Class C power amplifer

    According to thefgure shown tothe let, thecollector current

    is gi%en !y

    -here ID isgi%en !y

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    Class C power amplifer

    The direct collector current is determined!y its a%erage %alue which is gi%en !y

    .t is desired to fnd the current as aunction o the angles 1and 2rather than

    t1and t2

    This can !e achie%ed !y using theollowing mapping and

    =2

    1

    )sin(1

    t

    t

    DpCav dtItIT

    I

    11 =t

    22 =t

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    Class C power amplifer

    The a%erage collector current can !erewritten as

    By e%aluating this e*uation we may ha%ethe ollowing epression

    To simpliy the notation, the conductionangle will !e defned as

    =

    2

    1

    )sin(1

    dtItIT

    I DpCav

    ICav

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    Class C power amplifer

    By su!stituting the conduction angleepression into the a%erage collectorcurrent e*uation we get

    /ow the supplied input power can !ewritten as

    . the output 01C circuit is a narrow !andflter tuned to the undamental re*uency

    o the current pulses, then the outputower will !e

    )cos(sin

    == pCC

    CavCCi IV

    IVP

    )cos(sin

    = pCavI

    I

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    Class C power amplifer

    -here I1 is the amplitude o theundamental current components which isdetermined !y the trigonometric &ourierseries as shown !elow

    By sol%ing the pre%ious e*uation we may

    ha%e

    The output power now can !e written as

    )2sin2(

    4

    1212

    121

    === pCC

    CCO

    IVIVRLIP

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    Class C power amplifer

    The eciency o the amplifer can !ewritten as

    A plot o the eciency as a a unction othe conduction angle is shown !elow

    )cos(sin4

    2sin2121

    ===

    CavCC

    CC

    i

    O

    IV

    IV

    P

    P

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    Class C power ampliferdesign

    There are our important designparameters are o great importance orPA design in general

    These parameters are

    The output power Transistor power dissipation

    'aimum collector to emitter %oltage VCEmax The maimum transistor output currentIp

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    Class C power ampliferdesign

    The maimum collector current is gi%en !y

    2ince

    The collector current can !e rewritten as

    The maimum current in terms o the outputcurrent can !e written as

    /ote that the %alue o the collector %oltage VCCcan !e written as

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    Class C power ampliferdesign

    /ow the maimum collector current can!e rewritten as

    A normali3ed pea4 collector current is

    defned as

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    Class C power ampliferdesign

    A plot o the normali3ed pea4 current%ersus the conduction angle is shown!elow

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    Class C power ampliferdesign

    The power dissipated in the transistor is gi%en!y

    /ote the %alue o Ipcan !e epressed as

    &rom we can conclude that

    . the %alue o Ipis su!stituted in the PTe*uation

    then

    2)cos( 1

    IVSin

    IVPPP CCPCCOiT ==

    cos1=

    Mp

    II

    2sin2

    2 1

    =I

    Ip

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    Class C power ampliferdesign

    The power dissipated in the transistor isgi%en !y

    5r PTcan !e rewritten as

    2)

    2sin2

    cossin(2 11

    IVIVP CCCCT

    =

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    Class C power ampliferdesign

    A normali3ed plot o PT/PO%ersus theta isshown !elow

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    Class C power ampliferdesign e'ample

    Example:Design a class C amplifer that willdeli%er 6)- a%erage power to a 6$ 7 loadat a re*uency o " '83 using a transistorwith a sae power dissipation rating o $6

    -Solution:

    The a%erage output power is gi%en !y

    5rVPRVCC OL 4.2255022 ===

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    Class C power ampliferdesign e'ample

    Solution:2ince the allowa!le power dissipation is

    The maimum conduction angle can !eound rom the graph shown in slide "9or !y sol%ing the PT/POe*uation

    The %alue o the normali3ed currentcorresponds to this angle isreer to the fgure in slide ":

    The pea4 collector current is gi%en !y

    5.57=

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    Class C power ampliferdesign

    An alternate design procedure or classC amplifers is

    2elect the power supply

    2elect the transistor

    Determine the maimum output powerwithout eceeding the transistor ratings

    The transistor then can !e dri%en to itsmaimum allowed %alue o output current

    Determine the %alue o the load resistancethat twill result in the maimum currentaccording to

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    Class C power ampliferdesign

    /ow the transistor power e*uation can!e modifed as

    The normali3ed transistor powerdissipation is gi%en !y

    -here

    cos1

    )2sin2()cos(sin4)(

    =f

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    Class C power ampliferdesign

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    Class C power ampliferdesign e'ample (

    Example 2: Determine the maimumoutput power and the conduction angleo a class C amplifer using a transistorwith maimum power dissipation rating

    o ; - and a maimum output current o"6 A The supply %oltage is ;#