output output stage stage and powerand power...

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1 Output Output Stage Stage and Power and Power Amplifiers Amplifiers Amplifiers Amplifiers Lecture # 9 Lecture # 9 Most Most important important function function of of the the output output stage stage of of an an What is Expected from Output Stage ? What is Expected from Output Stage ? amplifier amplifier is is to to provide provide low low output output resistance resistance so so that that it it can can deliver deliver the the output output signal signal to to the the load load without without any any gain gain loss loss. Output Output is is the the last last stage stage so so it it deals deals normally normally with with large large signal signal model model so so the the small small signal signal models models ll ll d li bl li bl b d i Copyright © 2004 by Oxford University Press, Inc. 2 usually usually do do not not applicable applicable or or cannot cannot be be used used in ina straight straight manner manner.

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Page 1: Output Output Stage Stage and Powerand Power Amplifiershomes.et.aau.dk/akh/2011/Analog-elec-actu-2011... · AsAs amplifier amplifier isis biasedbiased atat IIsoso thethe currentcurrent

1

Output Output Stage Stage and Powerand PowerAmplifiersAmplifiersAmplifiersAmplifiers

Lecture # 9Lecture # 9

MostMost importantimportant functionfunction ofof thethe outputoutput stagestage ofof anan

What is Expected from Output Stage ?What is Expected from Output Stage ?

pp pp ggamplifieramplifier isis toto provideprovide lowlow outputoutput resistanceresistance sosothatthat itit cancan deliverdeliver thethe outputoutput signalsignal toto thethe loadloadwithoutwithout anyany gaingain lossloss..

OutputOutput isis thethe lastlast stagestage soso itit dealsdeals normallynormally withwithlargelarge signalsignal modelmodel soso thethe smallsmall signalsignal modelsmodels

llll dd li blli bl bb dd ii

Copyright © 2004 by Oxford University Press, Inc.2

usuallyusually dodo notnot applicableapplicable oror cannotcannot bebe usedused inin aastraightstraight mannermanner..

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GoodnessGoodness ofof thethe outputoutput stagestage designdesign isis measuredmeasured

THDTHD

GoodnessGoodness ofof thethe outputoutput stagestage designdesign isis measuredmeasuredasas ““TotalTotal HarmonicHarmonic DistortionDistortion (THD)(THD)”” whichwhich thethefinalfinal stagestage produceproduce andand itit isis rmsrms valuevalue ofof thetheoutputoutput signalsignal excludingexcluding thethe fundamentalfundamentalcomponentcomponent (expressed(expressed asas aa %%ageage ofof thethe rmsrms ofof thethefundamental)fundamental)..

Copyright © 2004 by Oxford University Press, Inc.3

ThTh h llh ll hh ii tt d lid li thth i di d

ChallengeChallenge

TheThe challengechallenge herehere isis toto deliverdeliver thethe requiredrequiredpowerpower toto thethe loadload inin anan efficientefficient mannermanner..

WhichWhich essentiallyessentially meaningmeaning thatthat thethe powerpowerdissipationdissipation shouldshould bebe asas lowlow asas possiblepossible (the(thejunctionjunction temperaturetemperature remainsremains underunder controlcontrolwhichwhich cancan resultresult inin damagingdamaging thethe transistor)transistor)

Copyright © 2004 by Oxford University Press, Inc.4

whichwhich cancan resultresult inin damagingdamaging thethe transistor)transistor)..

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High PowerHigh Power

WhenWhen wewe saysay “High“High Power”Power” itit generallygenerally meansmeans 11 WW..

Copyright © 2004 by Oxford University Press, Inc.5

ItIt isis basedbased onon thethe collectorcollector currentcurrent waveformwaveform whenwhen aa signalsignalisis appliedapplied atat thethe inputinput..

ClassificationClassification

Copyright © 2004 by Oxford University Press, Inc.6

CC II ˆat Biased >0at Biased =CI

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ClassificationClassification

Copyright © 2004 by Oxford University Press, Inc.7

0at Biased =CICI of valuezeronon at Biased

Class A Output StageClass A Output Stage

satCECCo

BEIo

LE

VVv

vvv

iIi

1max

1

1

−=

−=

+=

Copyright © 2004 by Oxford University Press, Inc.8

Page 5: Output Output Stage Stage and Powerand Power Amplifiershomes.et.aau.dk/akh/2011/Analog-elec-actu-2011... · AsAs amplifier amplifier isis biasedbiased atat IIsoso thethe currentcurrent

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Transfer CharacteristicsTransfer Characteristics

Maximum

satCECCo

Lo

QVVv

QIRv

22min

1min

saturationin when

off is when

+−=

−=Minimum

Copyright © 2004 by Oxford University Press, Inc.9

L

satCECC

satCECCL

satCECCo

RVV

I

VVIR

Q

2

2

22min

+−≥

+−=−

The absolute lowest output voltage can only be achieved provided the bias current I is greater than the magnitude of the corresponding load current.

Exercise 14.1 & 14.2Exercise 14.1 & 14.2

Li =

Copyright © 2004 by Oxford University Press, Inc.10

11

11

1

ln

E

Te

C

ETBEBE

LE

iVr

iiVvv

iIi

=

⎟⎟⎠

⎞⎜⎜⎝

⎛+=

+=1BEio vvv −=

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Signal Wave FormsSignal Wave Forms

Maximum signal waveform in the class A output stage, when biased at current I (it will swing from +VCC to –VCC , neglecting vCEsat .

Copyright © 2004 by Oxford University Press, Inc.11

Signal Wave FormsSignal Wave Forms

When Q1 is in saturation the output voltage is approximately, VCC (when no signal is applied).

oCCCE vVv −=1

Copyright © 2004 by Oxford University Press, Inc.12

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Signal Wave FormsSignal Wave Forms

Copyright © 2004 by Oxford University Press, Inc.13

AsAs amplifieramplifier isis biasedbiased atat II soso thethe currentcurrent inin collectorcollector ofof QQ11 willwill havehave thisthis shapeshape..

Power DissipationPower Dissipation

111

ndissipatiopower ousInstantane

CCED ivp =

ClassClass AA hashas maximummaximum instantaneousinstantaneous powerpower dissipationdissipation whenwhen therethere isis nono inputinput signalsignal andand ififthatthat happenshappens forfor longlong periodperiod ofof timetime thethe transistortransistor QQ11 mustmust withstandwithstand aa continuouscontinuous powerpowerdissipationdissipation ofof VVCCCC xx II..

TheThe PPDD inin QQ11 dependdepend uponupon RRLL:: MaximumMaximum (R(RLL =∞)=∞) oror MinimumMinimum (Short(Short CircuitCircuit RRLL ==00))..IfIf RR isis infinityinfinity meaningmeaning collectorcollector currentcurrent inin QQ isis equalequal toto II whichwhich isis aa constantconstant soso powerpower

Copyright © 2004 by Oxford University Press, Inc.14

IfIf RRLL isis infinity,infinity, meaningmeaning collectorcollector currentcurrent inin QQ11 isis equalequal toto I,I, whichwhich isis aa constantconstant soso powerpowerdissipationdissipation willwill dependdepend onon thethe valuevalue ofof outputoutput vvoo.. MaximumMaximum PPDD willwill occuroccur whenwhen vvoo==--VVCCCC weweknowknow vvCECE11=V=VCCCC -- vvoo andand ifif wewe putput vvoo==--VVCCCC ,, vvCECE11==22VVCCCC soso ppDD11 == 22VVCCCC xx II..

IfIf RRLL == 00,, meaningmeaning shortshort circuit,circuit, theoretically,theoretically, withwith positivepositive voltagevoltage infiniteinfinite currentcurrent willwilloccuroccur soso itit cancan damagedamage thethe transistortransistor..

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Power Conversion EfficiencyPower Conversion Efficiency

PpowerSupplyPpowerLoad

RIVIP

S

L

==

= −−

2

)()(η

( )

LCCo

CCS

L

o

L

oL

IRVV

IVP

RV

RVP

RIVIP

===

=

==

only when obtained becan efficiency Maximum 41

2

212 22

)

))

η

Copyright © 2004 by Oxford University Press, Inc.15

LoCCo IRVVVSince ≤≤ ˆ and ˆ

4

Exercise 14.3Exercise 14.3

Copyright © 2004 by Oxford University Press, Inc.16

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Exercise 14.4Exercise 14.4

Copyright © 2004 by Oxford University Press, Inc.17

Class B Output StageClass B Output Stage

PushPush BENIo vvv −=

PullPull BEPIo vvv +=

Copyright © 2004 by Oxford University Press, Inc.18

It is biased at zero current and any of the above transistors will conducts It is biased at zero current and any of the above transistors will conducts once a signal is present at the input.once a signal is present at the input.

Page 10: Output Output Stage Stage and Powerand Power Amplifiershomes.et.aau.dk/akh/2011/Analog-elec-actu-2011... · AsAs amplifier amplifier isis biasedbiased atat IIsoso thethe currentcurrent

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Transfer Characteristics of Class B Transfer Characteristics of Class B

Copyright © 2004 by Oxford University Press, Inc.19

Crossover DistortionCrossover Distortion

Copyright © 2004 by Oxford University Press, Inc.20

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Power Conversion Efficiency in Class BPower Conversion Efficiency in Class B

L

oL R

VP2ˆ

21

=

The current drawn from each supply consists of half sine waves of peak amplitude; oV̂The current drawn from each supply consists of half-sine waves of peak amplitude;

Therefore, average current from both supplies =

So the total supply power = 2 V I =

LR

L

o

RV

ˆ

π

L

oCCS R

VVP

ˆ2

π=

ˆ

4ˆ2

ˆ

21 2

CC

o

o

L

o

S

L

VV

VV

RV

PP πη =

⎟⎟⎞

⎜⎜⎛

⎟⎟⎠

⎞⎜⎜⎝

==

Copyright © 2004 by Oxford University Press, Inc.21

It comes out to be 78.5 %.

)maximum( is when efficiency maximum so 4 CCo

CCL

VV

VR

πη

π

=

⎟⎟⎠

⎜⎜⎝

Power Dissipation of Class BPower Dissipation of Class B

It is unlike class A where the maximum power dissipation occurs under quiescent conditions, in class B it is zero at quiescent conditions.Also, as the transistors conducts alternatively so each one dissipate half the power.

Copyright © 2004 by Oxford University Press, Inc.22

LSD PPP −=

L

oL R

VP2ˆ

21

=

L

oCCS R

VVP

ˆ2

π=

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Crossover Distortion RemovalCrossover Distortion Removal

Copyright © 2004 by Oxford University Press, Inc.23

Single Supply Circuit for Class BSingle Supply Circuit for Class B

Copyright © 2004 by Oxford University Press, Inc.24

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Exercise 14.5Exercise 14.5

bysuppliedcurrentPeak

IB

L

vI

PPP

η−+

Copyright © 2004 by Oxford University Press, Inc.25

max

by suppliedcurrent Peak

D

IB

PvI

Class AB output stage. A bias voltage VBB is applied between the bases of QN and QP, giving rise to abias current IQ . Thus, for small vI, both transistors conduct and crossover distortion is almostcompletely eliminated.

Class ABClass AB

2VvSQPN eIIii TBB===

2

LPN

BENBB

Io

Vvv

iii

vVvv

=+

+=

−+=

Copyright © 2004 by Oxford University Press, Inc.26

2

ln2lnln

QPN

S

QT

S

PT

S

NT

BBBEPBEN

Iii

II

VIiV

IiV

Vvv

=

=+

=+

Page 14: Output Output Stage Stage and Powerand Power Amplifiershomes.et.aau.dk/akh/2011/Analog-elec-actu-2011... · AsAs amplifier amplifier isis biasedbiased atat IIsoso thethe currentcurrent

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Class AB CharacteristicsClass AB Characteristics

Copyright © 2004 by Oxford University Press, Inc.27

Output Resistance of Class ABOutput Resistance of Class AB

ePeNout rrR = ||

Tout

N

TeN

iiVR

iVr

+=

=

Copyright © 2004 by Oxford University Press, Inc.28

PN ii +

Page 15: Output Output Stage Stage and Powerand Power Amplifiershomes.et.aau.dk/akh/2011/Analog-elec-actu-2011... · AsAs amplifier amplifier isis biasedbiased atat IIsoso thethe currentcurrent

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A class AB output stage utilizing diodes for biasing. If the junction area of the output devices, QN and QP, is n times that of the biasing devices D1 and D2, and a quiescent current IQ = nIBIAS flows in the output devices.

Biasing Class ABBiasing Class AB

Copyright © 2004 by Oxford University Press, Inc.29

Class AB operates in the same way as Class B, the power dissipation is almost identical to Class B. The only difference is that under quiescent conditions the Class AB dissipates VCC IQ per transistor.

Exercise 14.7 & 14.8Exercise 14.7 & 14.8

Copyright © 2004 by Oxford University Press, Inc.30

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Biasing Class AB with VBiasing Class AB with VBE BE MultiplierMultiplier

V

⎟⎟⎠

⎞⎜⎜⎝

⎛+=

+=

=

21

21

1

1

1

)(

RRVV

RRIV

RVI

BEBB

RBB

BER

Copyright © 2004 by Oxford University Press, Inc.31

⎟⎠

⎜⎝ 1R

A discrete-circuit class AB output stage with a potentiometer used in the VBE multiplier. Thepotentiometer is adjusted to yield the desired value of quiescent current in QN and QP.

Biasing Class AB with VBiasing Class AB with VBE BE MultiplierMultiplier

Copyright © 2004 by Oxford University Press, Inc.32

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Exercise 14.9Exercise 14.9

Copyright © 2004 by Oxford University Press, Inc.33

Power BJTs differ in size, shape due to the ampere range, power dissipation etc.

Large amount of power is dissipated in the collector-base junction in power BJTs.So the junction temperature increases which should not go beyond somemaximum limit TJmax otherwise it will damage the junction permanently (Forsilicon the range of TJmax is 150 – 200 degrees C.

Properties of Power BJTsProperties of Power BJTs

Suppose a transistor is operating in free air with no special cooling mechanism,heat generated will be conducted away from junction to the casing of thetransistor and from there to air and it can be expressed as:

TJ – TA = PD θJA.

TJ is junction temperature, TA is ambience temperature, PD is power dissipationand θJA is the thermal resistance between junction and ambience.

To keep TJmax minimum, θJA should be as small as possible. (In other words wewish to draw large amount of current but would like not to raise the junction

Copyright © 2004 by Oxford University Press, Inc.34

g jtemperature above TJmax.

We can represent this thermal-conduction process as an electrical equivalentcircuit.

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Maximum allowable power dissipation versus ambient temperature for a BJT operated in free air. This is known as a “power-de-rating” curve.

PPDD VsVs TemperatureTemperature

JA

AJD

D

AJJA

TTP

PTT

θ

θ

−=

−=

maxmax

0

0max

Copyright © 2004 by Oxford University Press, Inc.35

The popular TO3 package for power transistors. The case is metal with a diameter of about 2.2 cm; theoutside dimension of the “seating plane” is about 4 cm. The seating plane has two holes for screws tobolt it to a heat sink. The collector is electrically connected to the case. Therefore an electricallyinsulating but thermally conducting spacer is used between the transistor case and the “heat sink ”

Heat Sink & Transistor CaseHeat Sink & Transistor Case

insulating but thermally conducting spacer is used between the transistor case and the heat sink.

Copyright © 2004 by Oxford University Press, Inc.36

CAJCJA θθθ +=

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Electrical analog of the thermal conduction process when a heat sink is utilized.

Heat Sink & Transistor CaseHeat Sink & Transistor Case

)( SACSJCDAJ

SACSCA

PTT θθθ

θθθ

++=−

+=

Copyright © 2004 by Oxford University Press, Inc.37

The manufacturer also supplies de-rating curve for power dissipation and the case temperature as shown below and the maximum power dissipation is given as:

Heat Sink & Transistor CaseHeat Sink & Transistor Case

CJD

TTP −= max

maxJC

D θmax

Copyright © 2004 by Oxford University Press, Inc.38

Maximum allowable power dissipation versus transistor-case temperature.

Page 20: Output Output Stage Stage and Powerand Power Amplifiershomes.et.aau.dk/akh/2011/Analog-elec-actu-2011... · AsAs amplifier amplifier isis biasedbiased atat IIsoso thethe currentcurrent

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Safe Operating Area for BJTsSafe Operating Area for BJTs

Copyright © 2004 by Oxford University Press, Inc.39

Exercise 14.11Exercise 14.11

Copyright © 2004 by Oxford University Press, Inc.40

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Use of Compound DevicesUse of Compound Devices

Copyright © 2004 by Oxford University Press, Inc.41

Class AB Output Stage with Darlington PairClass AB Output Stage with Darlington Pair

Copyright © 2004 by Oxford University Press, Inc.42

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Short Circuit ProtectionShort Circuit Protection

Copyright © 2004 by Oxford University Press, Inc.43

Thermal ShutdownThermal Shutdown

Copyright © 2004 by Oxford University Press, Inc.44

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Example LM380 IC Power AmplifierExample LM380 IC Power Amplifier

Copyright © 2004 by Oxford University Press, Inc.45

Analysis of LM380Analysis of LM380

Copyright © 2004 by Oxford University Press, Inc.46