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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 ;#