Control in power electronics and electrical drives : proceedings of the 3. IFAC Symposium, Lausanne, 12 - 14 Sept. 1983

785 Pages·1984·34.35 MB·English

by  Rudolf Zwicky, International Federation of Automatic Control, Symposium on Control in Power Electronics and Electrical Drives

IFACP roceedvionlgusm Peusb,l isahnedFd o rthcoming
AKASHI:Co ntroSlci enacned T echnolofgoyrt heP rogreosfs KLAMT LAUBER:C ontroinlT ransportaStyisotne ms
Societ7yV ,o lumes LANDAU&: A daptiSvyes temisnC ontraoln dS ignaPlr ocessing
ALONSO-CONCHEIROR:e alT imeD igitCaoln trAoplp lications
LAUBER:S afetoyfC omputeCro ntroSly stems
(1979)
ATHERTON: MultairviabTleec hnologSicyaslt ems
LEININGERC:o mputeAri dedD esigonf M ultairviable
BABARY LE LETTY:C ontrooflD istribuPtaerda metSeyrs tems TechnologiScyaslt ems
&
(1982) LEONHARD:C ontroilnP owerE lectroannicdEs l ectriDcrailv es
BANKS PRITCHARD:C ontroolfD istribuPtaerda meter
(1977)
Syst&em s
(1977) LESKIEWICZ ZAREMBA:P neumataincd H ydraulic
BAYLISS:a fetoyfC omputeCro ntroSly ste(ms1 983) Componen&at nsd I nsrtumentisnA utomatiCco ntrol
BEKEY SARIDISI:d etnificaatnidoS ny stePma rameter MAHALANABIS:T heorayn dA pplicatoifoD ni gitCaoln trol
Esti&m ation
(1982) MARTIN:D esigonf W orki nA utomateMda nufacturSiynsgt ems
BINDER:C omponenatnsd I nstrumefnotrDs i stributed Computer
MILLER:D istribuCtoemdp uteCro ntroSly stems
ControSly stems (1981)
MUNDAY: AutomatCiocn troilnS pace
BULL:R ealT imeP rogramming (1979)
(1983) NAJIM ABDEL-FAT T AH: Systems ApprfooarDc ehv elopment
CAMPBELL:C ontroAls pecotfsP rostheatnidcO sr htotics &
(1980)
VanC AUWENBERGHE: Insutmrentatiaonnd A utomatiionnt he NIEMIA: LinkB etweeSnc ienacned A pplicatoifoA nust omatic
Paper,R ubberP,l astaincdsP olymerisaItnidouns t(ri1es9 (8109)8 3C)o ntrol
CICHOCKI STRASZAK:S ystemAsn alysAipsp licattioo ns NOVAK: SoftwafroerC omputeCro ntrol
ComplePx&r ograms (1979)
O'SHEA POLISA:u tomatiionnM ining, MiannedrM aelt al
CRONHJORT: ReTailm eP rogrammi(ng1 978) Proce&s s(in1g9 80)
CUENOD:C omputeAri dedD esigonf C ontroSly stems OSHIMA:I nformatCioonnt roPlr obleimnsM anufacturing
De GIORGIO ROVEDA:C riterfioarS electAipnpgr opriate Technology
(1977)
Technolo&gu inedse rD ifferCeunltt urTaelc,h nicaanld S ocial PAU BASAR:D ynamiMco dellianngd C ontroolfN ational
Conditions Ec&on omies
(1983)
DUBUISSONI:n formatiaonnd S ystems PONOMARYOV: ArtifiIcniatle lligence
ELLISC:o ntroPlr oblemasn dD eviciensM anufacturing RAUCH: ApplicaotfiN oonnsl ineParro grammitnog
Technology OptimizatainodnC ontrol
(1980)
FERRATE PUENTE:S oftwafroerC omputeCro ntrol RAUCH:C ontroAlp plicatoifoN nosn lineParro gramming
(1982)
FLEISSN&ER S:y stemAsp proactho A ppropriaTteec hnology REMBOLD:I nformatiCoonn troPlr oblemisnM anufacturing
Transfer Technolo(gy1 979)
GELLIE TA VAST:D istribuCtoemdp uteCro ntrSoyls tems RIJNSDORPC:a seS tudiiensA utomatiroenl atteodH umanization
(1982)
& ofW ork
GHONAIMY:S ysteAmpsp roacfho rD evelopment
(1977)
RIJNSDORP PLOMP:T rainifnogr T omorrow- Educational
HAASE:R ealT imeP rogramming
(1980) AspecotfsC & o mputerisAeudt omation
HAIMES KINDLER:W atera ndR elateLda ndR esourScyes tems
RODD:D istribuCtoemdp uteCro ntroSly stems
& (1983)
HALME: Modellianngd C ontrooflB iotechnical ProcessesS ANCHEZ:F uzzy InformKantoiwolne,d gRee presentaatnido n
HARDT:I nformatCioonnt roPlr obleminsM anufacturing DecisiAonna lysis
Technology SAW ARAGI AKASHI:E nvironmenStyaslt ePmlsa nning, Design
(1982)
HARRISON:D istribuCtoemdp uteCro ntrSoyls tems andC ontr&o l
(1979)
HASEGAWA: RealT imeP rogramming SINGH TITLIC:o ntraonld M anagemenotfI ntegrated Industrial
(1981) Comp&l exes
HASEGAWA INOUE:U rbanR,e gionaanld N ationPalla nning
- Enviro&n menAtspaelc ts SMEDEMA:R ealT imeP rogrammi(ng1 977)
HERBST:A utomatCiocn trionlP oweGre neratiDoins tribuatnido nS TRASZAK:L argeS calSey stemTsh:e orayn dA pplicat(io1n9s 83)
Protection SUBRAMANYAM:C omputeArp plicatiinoL nasr ge ScPaolwee r
ISERMANN:I dentificaatnidoS ny stePma rametEesrt imation Systems
TITLI SINGH:L argSec alSey stemTsh:e orayn dA pplications
(1979)
&
ISERMANN KALT ENECKER:D igitCaolm puteArp plicattioo ns (1980)
ProceCsos&n t rol WESTERLUND: AutomatiionnM iningM,i neraaln dM etal
JANSSEN, PAUS TRASZAK:D ynamiMco dellianngd C ontroofl Process(i1n 9g 83)
NationEaclo n&o mi(es1 980) VanW OERKOM: AutomatCiocn troilnS pac(e 1982)
JOHANNSEN RINJSDORP:A nalysis, DaensdiE gvna,l uatoifo n ZWICKY:C ontroilnP owerE lectronanidcE sl ectriDcrailv es
Man-Mach&ei Snystems (1983)
NOTICET O READERS
Ify our libirsna ortay l reaad syt andicnogn/t inuatoirodnec ru stomoerrs ubscritboet rh isserimeasy,w er ecommentdh ayto u
. .
placaes tandicnogn/t inuaotris ounb scripotridoentr o r eceiivmem ediatueployn p ubhcauoanln le w volumSehso.u lydo uf ind
that these vnool luomnegse r syeoruvrne e edyso uro rdecra nb ec ancellaetad n yt imew ithonuott ice.
Copieosf a llpr eviously publishaerde a vvaoilluambeAls fe u.l ly descriptive cbaetg allaodgulseye nwotin lr le quest.
ROBERT MAXWELL
PublishaetPr e rgamon Press
!FA
C RelatTeidt les
BROADBENT MASUBUCHI:M ultilinGgluoasls aorfyA utomatCiocn troTle chnology
&E YKHOFF:T rendsa ndP rogreissn S ysteImd netification
ISERMANN: SysteImde ntificaTtuitoonr i(alAsu tomaStpieccaIi saslu e)
CONTROL IN
POWER ELECTRONICS
AND
ELECTRICAL DRIVES
Proceedoiftn hgTesh z"rd Symposium
!FA C
LausaSnwniet,z erlaSnedp,t ember
12-14 1983
Editbeyd
R.Z WICYK
ZuricShw,i tzerland
Publifosrht ehde
INTERNIAOTANLF EDERIAOTNO FA UTOMATICCO NTROL
by
PERAGMONP RESS
OXFORD · NEWYORK · TORONTO · SYDNEY· PARIS· FRANKFURT
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Copyright1 984I FAC
(c)
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LibroafCor nyges rsC atalionPg uibnlgi Dcaatat ion
Maine ntruyn detri tle:
Contrionlp owere lectronieclse ctrdirciavl1e 9s8 3(.I FACPr ocredisnegrsi es).
1.E lectcruircr ecnotn ver&t-e Crosn gresse2s.E. l ectdrriicv inAgu tomatciocn tr-ol
Congresse3s.E. l ectrocnoinct r-oClo-ngressesP.o weerl ectronCiocnsg resses.
I.Z wickRyu,d ol1f9,2 3-I.I I.F CA Symposiuo4mn. C ontrionlP owerE lectroannidc s
ElectriDcrailve s (139r8d3:L: a usannSew,i tzerlaInldlS).e ries.
TK2796C.65 1983 621.31'78 3-8285
Library CatianPl uobguliiDncagat tai on
CBorintisthr ionlp owere lectronieclse ctrdirciavl1e 9s8 3-.- (FIACp roceedisnegrsi es)
I.E lectmroitco -r-sC ontr&oCl o ngres2s.eE sl ectcruircr ecnotn vert-eCrosn gresses
I.Z wickRy,. III.n ternational FeodfeA ruatotmiaotniC co ntroIlI IS.er ies
621.46'2T K2511
ISBN0 -08-030536-9
Thesper oceedwiernegr esp rodubcyme eda nosf t hP-photo-opfrfosceuetss insg t hem anu­
smptssu pplbiyet dh ea uthoorfts h ed ifferpaepnetr sT.h em anuscnphtasve b eetny ped
usindgife frenttyp ewritaenrdts yp efacTehsela. y -oufti,g uarnedst abloefss o mpaep erdsi d
nota greceo mpletweiltyht hes tandarrde quiremceonntsse;q uetnhter leyp roduction
doesn otd ispcloamyp luerntfeo rmiiTyoe .n surarpei dp ublictahtiiodsni s crecpoaunlcynd o t
bec hangneodr;c oultdhE en glibsech h ecked completetlhyre.ea dTeharersrae efs okreed,
toe xcuasneyd efi'cienocfti hesip su bltcawthiiocmnhay bed uet ot haeb ovem entiorneeads ons.
TheE ditors
Pnnteidn G reaBtr 1ibay1A n.W heatoCno .U d.E,x eter
&
THIDR IFACS YMPOSIOUNM C ONTROLI NP OWER
ELECTORNICASN D ELECTRICDARLVI ES
Organbiyz ed
SwisFse deratioofnA utomatiCco ntro(lS GAA/S SPA)
andS wisFse deraIln stitouftT ee chnolo(gEyD FL)
Sponsboyr ed
IFACT echnicCaolm mitteoen Applicatioofnt sh eI nternational FeodfeA ruattoimoant ic
Control
IFACT echnical Commoint Ctoemep onents Iannsdt rumeonftt sh eI nternatiFoendaelr ation
ofA utomatiCco ntrol
Suppobryt ed
B.B.CB.r ownB overi CompanyL td.B,a den/Switzerland
&
PrograCmommem ittee
H. BuhlerC,H (Chairman)
M. BirdU,K
A. De CarliI,
F.E vansA,u stralia
R. G. HoftU,S A
R.J otteFnR,G
W. LeonhardF,R G
G.M aggettBo ,
M. Marty, F
W. MilleUrS,A
H. StemmleCrH,
D. StrolFeR,G
A. WeinmannA,
R. ZwickyC,H
SymposEiduimt or
R. ZwickyC,H
FOREWORD
Sincet hes uccesosf thel astI FAC Symposiumo n "Controiln powere lectroniacnsd e lectrical
drivesv"e ryw ello rganizeidn 1977 in Dusseolrdf,t het echnologiyn thisf ieldh asm adeg reat
strieds forwar.d Thesef urtheprr ogressaerse e ssentialclhya racrtiezedb y:
- Emergence poofw ers witchgi ntransistors
-Applictaiono fm icrorpocessortso regulation
andc ontroolf staticc onvertearnsd e lectrical
drives
- Useo fm ores ophistiactedc ontrlo strategies
- Utiliaztiono f poweerl ectriocnsi n new
appliactionf ields
Foro ur 198S3y mposimu in LausanneS,w itzrelandt, hec hosne topicst akew idelyi ntoc onsidera­
tiont hise voluti.o n
Topic gatherasl lt he contributioonn st heoreitcal aspectcso nnectetdo new controslt rate­
gie.s 1T opic dealsw ithc ontrollede lectronpiocw erc onveretrs. New realiztaionso f
2
converter-fAe.dC m.o tord riveasr ep resenteidn Topic3 . It canb e noticetdh att herea re
no particulcaorn tributioonns c lassicalD .Cm.o tord rivebse causteh ed evelpomentsi n this
fielda rep racticalalcyh ievedT.o pic4 presentas l arges pecrtumo fm icroprocesaspoprl ica­
tion,s whosed evelompents stried alon.g Finally,T opics5 and d6e alw ithd ifefrenta ppliac­
tionso f powere lectnroicsi n suchf ieldass indusytr, electrivceh iclest,r acti,o nsolar
energyc onevrsio,n HDVCa ndr eactivpeo werc ompnesatio.n It ihso pedt hatt heT hirdI FAC
Sympsoimu on "Controiln powere lectrnoicsa nde lectricdarli ves" offaenr esx cellenotp por­
tunity fori nterestipnrge sentatioannsd d iscussionsa nd favourpsr ofiatblee xchanges of ideas
aboutt hisr apidlye xpandinfgi eld.
H. Buhler
Charimano f thIen ternational
ProgrammeC ommittee
vi
Copyrig©h tI FA C ContrionPl o weErl rctronics MODELLING AND CONTROL LAWS
andE lectrDirciavleL sa,u sanSnwei,t zer1l9a8n3d ,
CLOSED MATHEMAITCALD ESCPRTIOIN OF LIEN
COMMUTATEDC ONVERTE-RDIRVES
K.H ofer
Intsutfitur E leskcthrEien eertgieckh,Un niiviietrSs iieetngF,ed erRaeplu lbiocfG ermany
ABSTRACT 1. INTRODUCTION
Bys hiftitnhges olutioonfp robletmos the Byt ransittiood ni gitsaigln apl rocessing
softwaorfem ircopreosscorasn yc omplecxo n­ baseodn m ircopreosscortsh ea pplicatioofn
trols tructiunre el ectridcrailve en gin­eer newc ontrcooln cepbtescm aep osisbl.eT hereto
ing cbaene xecu.t Tehdise ssnetiaplr esump­ belonag.s ot.h en umericsailm ulatioofn
tiofno rs olvitnhge p robltehm iwsa y is thec ertadirni vceo mpnoentisn o n-lionpee ration.
exacmta thematdiecsarlci ptioofnt hed rive Theretbhye d ynamicca no ft enb ei mproved
sytsemi no rdetro e nablteh em ircopreosscor and tshter uctcuarneb es implifierde s.p
tog etd eepeirn sigihntt toh es tatoef t he
sysmt.e Inc ontratsotA Cd rivefse db ys elf-con­
trollceodn vertienrl si ne-mcmoutatceod­n
Thipsa pedre alwsi thf our-quadDrCa-ndvtre si vertedrr ivesst rnogn on-linearairtiisees
fedf roml inceo mmutatdeodu blceo nverters.i nt hed isnctoinuoruasn goef t hec urrent
Firsotf a lla relatioofng enervaall idity especlilyai ft heries b acpko tential
willbe d educwehdi cihn c losemdod ed escri­ iInl lt,he c iDrCc u(iet. ga.n E MFo fa DC ma­
best hes tationbaerhya vioouflr i nceo mmu­ chnie) Therefoirnce a soef D Cd rives
tatecdo nvertienrd se pendefnrcoymf iring thed e1s21cpr.tii oonf t he convehratsfe irr st
angl,e dicsontinuroaunsg, e andc onverter prioriwthyre eaisn caosfeA C dritvhees
connect(ipounl nsumeb e)r. modeolf t hem achiinsem orei mprotan.t
Thep reciksneo lwedgoef t heb ehaviooufr
Secondltyh ec ontrfouln ctioofnt hec onv­er thel in-ecommutatceodn vert(eCSrR )e nables
terw illb ec ombinweidt ht hec ontlr founc­ the open colnotorpool f t hes peed3 by
tioonf t hem achitnoet hes ystefmu nction calculattihnes gt atniaoryf irinaJgn glloer
andw illb ed iscusisnem do red etaiuls inag thed esigonfa speeodb servaesrs howinn
s p e e d o b s aen e rx ampvl .e e rt hiapssa pe(rf gi.1 ).
:
FIRING
ANGa. LE ':>.t-'-"::��-'-"' "i ; r�;�� t---S__P _�E_D
'"'""+--.... ....r- .... Ud
TEMPERATURE
�---- ARMATURE
IMPEDANCE
ARMATURE
CURRENT
�-----FIELD
�----------------
�-------------- COMMUTATION
DISCONTINUOUS
�-RANGE --------------�
LINEV OLATGE
Poromet1?rs
1 of a
Fig. SCR de-drive
2 K.H ofer
Bothp roceduarlelso aw d etermiinnetde rven­thatt hem otoirs b eincgo ntrolaltea dn y
tioni ntot hes peebde haviowuirt homueta su­ instabnytt hec onvertoetrh,e rwinsoet hing
ringt hes peedI.t i sa lwaytso b ea ssumed reliabclaenb es aida boutth es tatoef t he
system.
0
wt
wt
n:
2
n:
Fig2. Convertienrd iscontinumooudse
S A
a
2.S YSTEDME SCRIPTION
p/2[n u sinwdtw +tU(2n/pJ-\) ( 2)
2.1F ullcyo ntrolcloendv erters ud = f d
S
a
Fullcyo ntrollliendec ommutactoendv erters Thea nglec orrespotnodt sh ed eviatioofn
S
ares ingle-pohram suel ti-phcaosnev erter then aturfailr inagn gl(ea= O)f romth ep as­
circui]t4s1 a,l wayesq uippweidt hc ontrol­ singt hrouzgehr oo ft hes ystevmo ltage:
lablvea lve(st hyrist.o Trhse)yc ano perate
n/2- n/p
in1 sta nd4 thq uadraonftt hec urrevnotl ­ S =
(3)
tagep lan;e i.e.i nt her ectifiaenrdi n­ Pulsneu mbepr i st het otanlu mbeorft he
vertemro deF.o rc ontinuDoCuc su rreanv te ry non-simultacnoemomuust atoifoa n c onverter
simplree laticoannb ef ounbde twetehne connectdiuorni nogn ep erioodf t he system
mediuvma luoef t hec onvertveorl ta(gUe) voltagUen.d etrh esaes sumpttihoens integral
d
andt hec ontraonlg l(ea ): ofe q.2 canb es olved.
A
u = u cos (1 )
d di a Ud 2�{ [-cosrwt :}+U:d(l-:\fnl;
U ist hei deanlo -loDaCdv oltaogfet he �
di
convertIetrd .e penodnst her msv aluoef t he i.e.
systevmo ltaagned t hec onvertceorn nection
U u cos(+Sa)-cos(+Aa)++ SU(l-A
. Int her angoef t hed iscontinDuCco uurs­ d = in d i:
r:5el n tt hec ontrfouln ctiiosnn otv alida,s b y
Aftesro met rigonomettrraincs formatthieo n
finditnhge mean ovfat lhueDe C v oltage
expressciaonnb es implified:
voltatgiem ea rea(sA ) willb en eglected
A
(fig2.) .T hism eantsh atf ora constacnot­n 2u. A A
trola ngl(e at)h em eanv aluUed becommeosr e ud = r inr='os( a+ +2 s- 2n ) (4)
positiwviet ha decreasciunrgr efnlto wan gle
Substitutibnyeg q .S onec anf intdh ec on­
(A).T hesdee pendenccaineb se d escribiend
trolc haracteriosf3tt ihcec onverter:
ane xacmta thematwiacya.lT hisw illb ed one
forf ullcyo ntrolcloendv ertienrg se neral. U in os( a+ -.'.'..)
Int hed iscontinruaonugse A 2n/pth)e d = � �2 �2 p (5)
A
ohmivco ltadgreo pi nt heD (C0c ir� c� uciatn b e Usualtlhye p eakv aluoef t hev olta(gue) i s
neglect[e2d: i,. e.t heb acpko tential (e.sgu.b stitubtyet dh ei deal no-DlCov aodl tage
EMFo fa DCm achineeq)u altsh em eavn alue of( U.)o ft hec onvertTehre.f ollowibnogu n­
d
thec onverter vUo.l tRaegfee rritnofg i g2. darconditiaornest ob ec onsidered:
d
onec anf ind: �
LnieC rrnounttaeCdov netreri-vDers 3
a
Fig.3 Convertedri agram
Regaredq.i5 n ogn cea fni :n d Wheuns icnogn verwtiethrh sih age nru mboefr
pulsesi nuftelhneoc fet hdei csonutoiuDnsC
2u 211 2:__
--sin (O+ curraenntdth ertehbneyo n-libneehaavri our
udi2 11� OS p 2:_)p oft hceo nvedretcerre ases.
p
Thpel awniet thh pea ramUed/tdU.e=r1 isa
and measfuortreh neo n-linCefair3gi)7t; y
11 i.eth.de e creacsuirnrfgeln wo atn gle
u u=d i (6) requiars etsr oinngc reoafts hece o n(t;\)r ol
_ps_ in - ang(lae.) T hseam llepsemtris sibcloen trol
p11
angCTlmei cna bne d erifvremo edq . consi­
Froemq 5. w ec adne ritvheeg e n 1 e dre rai ngbo utnhdceao rnydn iU dt= iU7 od i:
c o n tf ru on c otfa ilf luoy n
1
ccoonnttirnDcoCuol conluuversedrf r eotndretsi r:c ontiannudo usam .i_- n--2A + arc(pc is11on s1 21s. /AiA p n/ ) +2 -p11 (8)
Inc asoefa ne xtrdeimsenc toinuitoyn e
2sin
Ud�i1�.-111 � -A�__2A_,-, o s(Aa/+12/-p1) (7) cafnni dw ith (;\+0)
p sipn im2 isnA/2
1.
O
A
Fo;r\ =2o11n/cepa f ni ntdh wee -lklnorwenl a­tA+h feo lwlioneguq atni:o
tioanc cortdoei q.n1 g. T hifsu nctiiso n
psni1l/p
shoiwnnf i.g t3h ree-sdiaiolmnelTnyh.e a .= 2:. +arc(cos ) (9)
free paprualmnseuetm eb(rep ri) n dicatesm i*n P 11
which irnta hneg eg raphitcoa c beerl­oin.geass . i lneg-phcaosnev e(rpt=ed2re) l ivers
rtaevilcanenon cvtoe nrcntoeeenrcacn trtim.eioTa onhrntsekth ehrdmee;aose rse et tehl.ie d enaol- lvooaldt Uadgife o arm i* n=1 400
thteh ree-bprhiadcsgoeen nec(tp6)i=,ot nh e
three-mpihda-speo int (cpo=,na3 nnedc tion
thsei neg-lphbarsiedc goen ne(cpt=i.2o )n
K.H ofer
4
2.2D oublceo nverter Thes igno ft heD Cc urren(tI ) marktsh em o­
d
mentarayc tivceo nveerrt; fig.4 showtsh is
DCd rivefse db yd oublceo nvertecrasno pera­
controflu nctifoonr p = (2is ngle-phase
te ianl lf ourq uadranotfst het oruqe-speed
bridgceo nnecnt)i.o
plan.e Thed oublceo nvertceonrs istosf t wo
fullcyo tnrollecdo nverte(rCSsR andS CR)
1 2 2.3C opmensatDeCdm achine
ina nti-rpaalleclo nnect.i Tohnec ontrol
follwsot her ul:e Thee lectriacnadle lecrto-mecnhiacable ha­
7J
viouro fD Cm achin6es, can descbreid
ina simple wwhaeyjn n eglectbeic nogm mutation
(10)
anda rmaturree acti.o n
whenc arryicnigr culatciunrgr enatn dc ircu­
lating-cur-rfernetaes w ella; = control
1
angloef S CRanda = controaln gloef S CR (31)
1 2 7 2
Substitutai innge q. by eq. meanfso r
SCR (negaticvuer renatn dt oru1qe0) :
2 R andL represetnhte i mpedanocfet hea rma­
tur,e �a magnetfilc u,x and�= 2TT·nt he
0d2=udip siTTn TT/p2 sinl./O2S ( TT-2+a .?:_ _2P ' i.e. angulasrp eeodf t hem achi.n Neeglectitnhge
.:!'..). inlfuencoef t emperateuqr.e 1 3 canb e sim­
>.
pliifed fao rc onstantelxyc itesdh unt-wound
u d2= -Ud�.p sTTi nTT/22s inA/o2s(a 2+ .?:_2 _.:!:_)p (11) machi:n e
>.
Neww e gett heg eneraclo ntroflu nctifoonr
a (icrculating-nctu-rferree)d oublceo nver­
ter: cosnt. (14)
A TT
OS (a+ Inc aseo fa variableex citemetnhtef lux
2-
p)} canb e estimatebdy fieldc urrentth rough
(21)
I
I
II - -- I- +-0
/ /
I I
I I /
I I
I I
I
I
0 I
-1
Double-Converdtiearg ram
Fig4.
LnieC ommuetdaC tontvreeD-rrvies
5
them agnetizatcihoanr aecrtsiti.c Thfiusn c­ andt het hirdth ed ynamivco ltagder opa t
tionc anb e fieldi n aEnP ROMa sa table. thea rmatuirned uctean.c
Ift het emperatduerpee ndenocfyt hea rma­
turer essitanc(e)R isn otn egligibdlier ect
3.D IGIATL SPEEODB SEVRER
temperatmueraes uricnagn b e avoideudsi ng
a temperatoubrsee rvienrt hef iedl circu.i t
3.1 Application
2.4S ystefmu nction Calculating oenq-.l i1nb5ey usinag micro­
prcoessotrh em omentasrpye eodf t hed rive
Thes ystefmu nctioofn thceo nvertderri ve
canb eo bservaendd t hisa ctuavla lucea n
canb ed erivefdr ome q. 13w hens ubstituting
be ledt oa classicacla csadec ontrol
thea rmatuvroel tagUe by eq.1 2:
d (fgi.5 ).
dI Fort hes implecsats eo fa machinaet ope­
Rid+Ld :+ 2mjm ratintge mperataunrdec onstaenxtc iattion
them icroprocecsasnod re termitnhee s peed
sig(nI) u 1T 2sinA/o2s (n) regartdhienf gi rinagn gle( aa)n dt he
d dipsinTI/p A (a2+ �-�) momentavrayl ueosf t hea rmatucruer rent
p (i) witht hec orrecsti g.n Thism akeas
d
tachometuenrne cessar.y Thaipsp lciatioins
Ford escirbintgh es peeodb servtehre l ast
equaticoann b ew ritteinn aenx plicwiaty interestfionrgd rivsey stemsregardeicnog­
fort he spe(end:) nom,y relibailit,y lifes-pa,n ands ubsueeqnt
instlaaltio. n
Anothearp plictaioni st hee xecutiofoa n re­
n = sig\(n dI) udip s�iinn\TI//2pc os( a�2+ -�)p dsupnedeadn stpc eoencfdtoo rnrot lr pocrcliot rticeo,un ieotr.ga . sf �opra rate
coiledrr ievs.
iji
di
_B._ I - L d (1)5
_ 21Tiji d --2--1Tijid t
Thef irstte rmo f e. q15c ontaitnhse n on­
lineariotfyt hec onvteerr,t hes ecnodt he
ohmivco ltagder opsi n thaer matucrei rcu,i t
,---------
1 POWER
�II SYSTEM
�I
"'I
w I ������� CRUERFREERNETN CE trii:"'z "'Uz....J J erw
"'owwn.I (.)·WzererlLw � SCPOENETDR OLLER CCOUNRTRREONLTL ER a 0rr(.)NzJ:>-z st. CDOONUlVBELRE-T ER
Vl 1
ARMATURE CURRENT
0
w
w
Vln.
DMOCT -OR
TACHO-
METER
Fig SpePd
5 controlldeed- drive