DOHERTY POWER AMPLIFIERS DOHERTY POWER AMPLIFIERS From Fundamentals to Advanced Design Methods BUMMAN KIM AcademicPressisanimprintofElsevier 125LondonWall,LondonEC2Y5AS,UnitedKingdom 525BStreet,Suite1800,SanDiego,CA92101-4495,UnitedStates 50HampshireStreet,5thFloor,Cambridge,MA02139,UnitedStates TheBoulevard,LangfordLane,Kidlington,OxfordOX51GB,UnitedKingdom ©2018ElsevierInc.Allrightsreserved. Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans,electronic ormechanical,includingphotocopying,recording,oranyinformationstorageandretrievalsystem,without permissioninwritingfromthepublisher.Detailsonhowtoseekpermission,furtherinformationabout thePublisher’spermissionspoliciesandourarrangementswithorganizationssuchastheCopyright ClearanceCenterandtheCopyrightLicensingAgency,canbefoundatourwebsite:www.elsevier.com/ permissions. ThisbookandtheindividualcontributionscontainedinitareprotectedundercopyrightbythePublisher (otherthanasmaybenotedherein). 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LibraryofCongressCataloging-in-PublicationData AcatalogrecordforthisbookisavailablefromtheLibraryofCongress BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN:978-0-12-809867-7 ForinformationonallAcademicPresspublications visitourwebsiteathttps://www.elsevier.com/books-and-journals Publisher:MaraConner AcquisitionEditor:TimPitts EditorialProjectManager:LeticiaLima ProductionProjectManager:SuryaNarayananJayachandran CoverDesigner:MatthewLimbert TypesetbySPiGlobal,India ACKNOWLEDGMENTS Manypersonsdeservewarmthanksformakingthisbookareality.Themajorpartofthis book contains the results of more than a decade of research activities performed in my groupatPOSTECH.Ihavebeenfortunatefromthesupportofnumerousexcellentstu- dents,whodevotetheirtimeandenergytoworkonDohertypoweramplifiers.Iwould like to express my sincere gratitude to all those people who have worked on Doherty power amplifier. The deliberate work is the basis of this book. IwouldliketoexpressmysincereappreciationtoalltheAcademicPressstaffinvolved inthisprojectfortheircheerfulprofessionalismandoutstandingefforts.Lastbutnotthe least,Iwouldliketo thankmyverynearestfamilyfor theirpatienceandunderstanding during the many days spent working on this book. ix CHAPTERONE Introduction to Doherty Power Amplifier 1.1 HISTORICAL SURVEY William H. Doherty was an American electrical engineer, best known for his invention of the Doherty amplifier. Doherty was born in Cambridge, Massachusetts, in 1907. He attended Harvard University, where he received his bachelor’s degree in communication engineering (1927) and his Master’s degree in engineering (1928). Doherty joined Bell Labs in 1929. At the Bell Labs., he worked on the development of high-power radio transmitters, which were used for transoceanic radio telephones and broadcastings. Dohertyinventedthisuniqueamplifierapproachin1936usingavacuumtubeampli- fier. This new device greatly improved the efficiency of RF power amplifiers and was first used in a 50kW transmitter that Western Electric Company designed for WHAS, aradiostationinLouisville,Kentucky.WesternElectricwentontoincorporateDoherty amplifiers into, at least, 35 commercial radio stations worldwide by 1940 and many otherstations,particularlyinEuropeandMiddleEastinthe1950s.WithintheWestern Electric,thedevicewasoperatedasalinearamplifierwithadriverthatwasmodulated. In the 50kW implementation, the driver was a complete 5kW transmitter that could, if necessary, be operated independently of the Doherty amplifier, and the Doherty amplifier was used to raise the 5kW level to the required 50kW level. AsasuccessortoWesternElectricCompanyInc.forradiobroadcasttransmitters,the ContinentalElectronicsManufacturingCompanyatDallas,Texas,considerablyrefined theDohertyconcept.TheearlyContinentalElectronicsdesigns,byWeldonandothers, retained most of the characteristics of Doherty’s amplifier but added medium-level screen-grid modulation of the driver. The ultimate refinement made by the company wasthehigh-levelscreen-gridmodulationschemeinventedbySainton,whosetransmit- terconsistedofaclassCcarriertubeinaparallelconnectionwithaclassCpeakingtube. The tubes’ source (driver) and load (antenna) were split and combined through + and (cid:1)90° phase-shifting networks as in a Doherty amplifier. The unmodulated radio- frequency carrier was applied to the control grids of both tubes. Carrier modulation wasappliedtothescreengridsofbothtubes,butthescreen-gridbiaspointsofthecarrier andpeakingtubesweredifferentandwereestablishedsuchthatthepeakingtubewascut DohertyPowerAmplifiers ©2018ElsevierInc. https://doi.org/10.1016/B978-0-12-809867-7.00001-6 Allrightsreserved. 1 2 DohertyPowerAmplifiers offwhenmodulationwasabsentandtheamplifierwasproducingratedunmodulatedcar- rierpower.Andbothtubeswereconductingduringthemodulation.Andeachtubewas contributing twice the rated carrier power during 100% modulation as four times the ratedcarrierpowerisrequiredtoachieve100%modulation.Asbothtubeswereoperated inclassC,asignificantimprovementinefficiencywastherebyachievedinthefinalstage. In addition, as the tetrode carrier and peaking tubes required very little drive power, a significantimprovementinefficiencywithinthedriverwasachievedaswell.Thecom- mercialversionoftheSaintonamplifieremployedacathode-followermodulator,andthe entire50kWtransmitterwasimplementedusingonlyninetotaltubesoffourtubetypes, aremarkableachievement,giventhatthetransmitter’smostsignificantcompetitorfrom RCA was implemented using 32 total tubes of nine tube types. The approach was used by such leading companies as not only Continental but also Marconiwithfunctionalinstallationsuptothelate1970s.TheIRErecognizedDoherty’s important contribution to the development of more efficient radio-frequency power amplifiers with the 1937 Morris N. Liebmann Memorial Award. Theamplifierhasbeenreinventedrecentlyforuseinmobilecommunicationsystems using semiconductor devices at higher frequencies. It creates large deviations from the previous design based on the vacuum tubes. Also, the amplifier is modified to amplify ahighlymodulatedsignalwithahighpeak-to-averagepowerratio(PAPR).Nowadays, the Doherty amplifier is the choice of the technique for the power amplification in the mobilebase-station.Thetechnologycanbeusefulforhandsetpoweramplifier,also.In this chapter, the basic structure of the Doherty amplifier together with the operational behavior is introduced. 1.2 BASIC OPERATION PRINCIPLE The most important property of the Doherty amplifier is the load modulation, whichcarriesouttheperfectcombiningoftheasymmetricalpowersfromthetwoampli- fiers.Thereby,onlyoneamplifier(calledcarrieramplifier)operatesatalowpowerlevel, and the efficiency at the same power level is two times higher than that obtained from the two times bigger amplifier. The two amplifiers (the second one is called peaking amplifier) generate powers at a higher power level, and the carrier amplifier operates atthepeakefficiencymodeinthisregionduetotheniceloadmodulationcharacteristic. Thispropertyprovidesanefficientamplificationofanamplitude-modulatedsignal.The load,whichismodulatedbythecurrentratioofthecarrierandpeakingamplifiers,isself- adjustedforthepeakefficiencyatthetwopowerlevels.Thefirstpeakefficiencyispro- videdbythecarrieramplifier(CA)atthelevelwhenthepeakingamplifier(PA)isturned on,andthesecondpeakisatthepowerlevelwhenthetwoamplifiersgeneratetheirfull powers. Another important characteristic of the Doherty load modulation is that the overall gain of the amplifier is constant, providing a linear amplification. IntroductiontoDohertyPowerAmplifier 3 1.2.1 Load Modulation Behavior 1.2.1.1 Load Impedance Modulation The simplest illustration of the load modulation concept is shown in Fig. 1.1, where a voltage-controlledvoltagesource(VCVS)isinparallelwithavoltage-controlledcurrent source(VCCS) and aload resistor R. The impedanceseen by theVCVS,Z , ismodu- 1 lated by the current I , as given by 2 V V Z ¼ 1¼ 1 (1.1) 1 I I (cid:1)I 1 R 2 VaryingthecurrentI fromzerotoI ¼V /R,Z isvariedfromRto∞.Inthiscircuit, 2 R 1 1 theVCCSmodulatestheloadimpedanceoftheVCVS.InDohertyamplifier,theability to modulate Z using I is properly employed to track the optimal impedances for the 1 2 amplifier to operate efficiently at the back-off power levels. An important property of the setup in Fig. 1.1 is that the linearity of the overall system is solely determined by the linearity of the VCVS because the voltage V across the load is always equal to out V .Therefore,linearityisguaranteedregardlessofthevalueofI ,aslongasV islinearly 1 2 1 proportionaltoV .Forthispurpose,theimpedanceZ shouldtrackagivenimpedance in 1 profileversusV byspecifyingtheI versusV profile.Althoughmathematicallysimple in 2 in to define it, realizing a given I versus V profile in practice can be a challenge. 2 in In the load modulation technique, the VCVS and VCCS have their important roles. The former ensures the linearity of the amplifier, while the latter acts as the load modulatingdevice,whoseI versusV profiledeterminestheimpedanceZ seenbythe 2 in 1 VCVS. These two properties are important in derivation of the Doherty circuit configuration. The Doherty amplifier uses a different circuit topology for the load modulation. It consists of two amplifiers (two current sources) and an impedance-inverting network, which converts the one current source to a voltage source. This converted amplifier iscalledacarrieramplifier,andtheothercurrentsourceamplifierisapeakingamplifier. VCVS VCCS I I 1 2 Z + 1 I + R Vin V1 + Vout R I2 Vin – – – Fig.1.1 Loadmodulationcircuitdrivenbyvoltageandcurrentsources. 4 DohertyPowerAmplifiers R0∠90° I1′ V I2 0 Z Z′ Z 1 1 2 R I 0 I 1 2 2 Carrier Peaking amp. amp. Fig.1.2 OperationaldiagramofDohertyamplifier. Fig. 1.2 showsanoperationaldiagramtoanalyzetheDohertyamplifiercircuit.Theoutput load is connected to the carrier amplifier through the impedance inverter (a quarter-wave transmissionline)anddirectlytothepeakingamplifier.Inthisfigure,theoptimumpower- matchingimpedanceofthecarrierandpeakingamplifiersatthepeakpowerisR ,andthe 0 load of the carrier amplifier, when the peaking amplifier is off, becomes R /2 due to the 0 parallelconnectionofthetwoamplifiers.Itisassumedthattheoutputcapacitorofthedevice isresonatedoutandthephasedelayofthequarter-wavelineiscompensatedattheinput. The impedance inverter has a characteristic impedance of R also. The load impe- 0 0 dances of the carrier amplifier at Z and Z , shown in Fig. 1.2, are given by 1 1 (cid:1) (cid:3) 0 V R I +I Z0 ¼ 0¼ 0(cid:3) 1 2 (1.2) 1 I0 2 I0 1 1 R 2 2R 2R Z ¼ 0 ¼(cid:4) 0 (cid:5)¼ 0 (1.3) 1 Z0 I ð1+αÞ 1 1+ 2 0 I 1 where α¼I2=I0. Eq. (1.3) shows that the carrier amplifier represented by a current 1 source I sees the load impedance modulated by the second current source I , rep- 1 2 0 resenting the peaking amplifier. It should be noticed that I is different from I due 1 1 to the impedance change. Also, in the normal Doherty operation, the current level of thepeakingamplifiervariesfrom0toI ¼I ,themaximumcurrentofthetwoampli- 1 max fiers,andαchangesfrom0to1.Normally,I andI canhandlethesameamountofcur- 1 2 rent,thatis,thesamesizedevicesforthetwoamplifiers,andZ isR whenI ¼I ¼I 1 0 2 1 max atthepeakpower,becauseI isequaltoI0 atthepower.Z is2R whenI ¼0andZ is 1 1 1 0 2 1 in between the two values for the I current between 0 and I . This is the Doherty 2 max load modulation behavior, which is depicted in Fig. 1.3C. The peaking amplifier provides the open load until it is turned on because the currentI iszero.Afterturnedon,theimpedanceZ isalsomodulatedsimilarly,which 2 2 is given by IntroductiontoDohertyPowerAmplifier 5 V I max max e Carrier urrent Carrier voltag ntal c Peaking ental Peaking e m m a a d d n n u u F F V /2 V V /2 V in, max in, max in, max in, max (A) Input voltage amplitude (B) Input voltage amplitude m) 5ROPT h O 4R e ( OPT nc 3R a OPT d e p 2R m OPT oad i 1ROPT L V V /2 V in in, max in, max (C) Input voltage amplitude Fig.1.3 Current,voltage,andloadimpedanceshapesofthecarrierandpeakingamplifiers:(A)current profiles,(B)voltageprofiles,(C)loadimpedanceprofiles. (cid:6) (cid:7) V R I0+I R ð1+αÞ Z ¼ 0¼ 0(cid:3) 1 2 ¼ 0(cid:3) (1.4) 2 I 2 I 2 α 2 2 The load modulation behavior is also depicted in Fig. 1.3C. The carrier impedance is modulated from 2R to R and the peaking from infinity to R . In this figure, it is 0 0 0 assumed that each current source is linearly proportional to the input voltage and R 0 is equal to R of the transistor, the optimum power matching resistance. As shown OPT inFig.1.3A,I isturnedonatthemidpointduetotheclassCbiasofthepeakingamplifier 2 andisincreasedtothemaximumvalue.I islinearlyincreasedfromthezerogatevoltage 1 due to the class B bias. In this operation, the transconductance of the peaking amplifier shouldbetwicelargerthanthatofthecarrieramplifierduetoahalfoftheinputvoltage swing for the maximum current generation. To get the two times larger trans- conductance,thepeakingamplifiershouldbetwotimeslargerthanthecarrieramplifier. But in the case, only a half of the peaking current is utilized, wasting the power gener- ation capability. To solve the problem, uneven driving technique is developed, which will be introduced in Chapter 2.
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