A eD d u tr o : gt t d o : maIu : a., v 9t A fis'h'h1 r a ru prq aI n sl #r vr n fi er n r : ri r f I i r.r AA , _!--!_-. t'l I u u 5 1{ 9t I lnt crln n I lil a { o 1 u n il n I : cr{ ri r flsr a r fi n d fi nr ir I v d tJ o A Balanced Source Power Transfer Cascade Multilevel Inverter Based on an Optimized Stepped-Waveform Harmonic Elimination Technique l oo/ J ?tn: nfut'f, dvt!il: rou:uumilqmr i nrnisriqrn::!'ltlfi t nnrsisrn::rnren{ anrtiutrnlulntn:vtorurndrtdrqnrmn r:arnn:lf.l ilnnfluo j" 4 t t tufll:1utfln0u ^ unnrrrufrrirtauonr:itn:rsriuarnr:li.rttu110.rou[?0:tno:ilntu:urllJTuotlndtrl9l r ; s qe a q t o a a.i - q i | '- F----l- ' tfillttiln{01UUn'l:fl'lt'l1u J I i UornoirfifrurdrArrurv,lA'lnulfrnnunnr:nrterarSiloilnrivltl4illuduttiluAilnnufluuu rird'.rllhflraruqa fi1err.l:va.:riu,r'orirl#rruri.:riru'hlfirn:vuan:rtoro^utrofrnofroryrLindrrriarrYr fiorgnt:1#.rru uavfi lndrfiusfiu doluuv,nrrudovilrrauoiinr:drurnrryruaivrfi'rIouldrd'nnt:tolfirdu-:rdduodr.:av16uor nr:,irnornr:drrrudrolil:un:runorufirrnof NaarLeslsIMULINK uuno''lnfi'f,,ldnncoltnio.:du,,uu,du ct:20florn1:T'l{'lu[lluununlt 01no{ tr itr.i uv <r 4-rtonatlunurnolo Abstract This paper presents analysis and operation of a cascade multilevel inverter for three phase induction motor drives using an optimized stepped-waveform harmonic elimination technique which provides balanced source power transfer. The objective of this technique is to offer similarly useful life time of each dc supply of the H-bridge inverter. This paper gives detail of switching angle calculation based on a Newton-Raphson method. Simulation using MATLAB/SIMULINK program is also included. Additionally, testing of the prototype for verifying operation compared with simulation was conducted. The result appears satisfactory. j-a94ar! 1. tu o { UYrlil e I t.tfi 'luqndlfi n: UYd :lJ tnilnl:ul qYq a u ? A 4 outroitno:na1u:uftusuflltfl dtnfl il1 tY tufl 'l: luIl 0 quu.tlur -ArA I u I n a o u il o t n o : tr u u r ri t riu o ti r.: rtu d u nr o tt si r o vl 0 1n anu a aiu ? cr ri il v 1, 0.: r r :.: fi hi nr fi o u fiu -tr^/qatc rr:.: qtu d.: rfin 0 I n 0 n H il a J u loxu rgl 0 u a lu n t 0 , nnonnr vnI ,i : dl 1 1l 4 : d t.: r u vt d ryfl u[? vl 1 0 { o 1 lu u lu r a 0 rr ut'l tuIil T 2 0 v tl{u?10u1?0 9r':[rd9l.r " si n 0 : tn 0 : v : v d'u 0 : [n 0: t 4 : tn 0 :toT Ladkrabang Engineering Journal, Vol. 23, No. 3, September 2006 u /e 3 i 0u . yt1.:tuu'tu n?1our? oq9 J 0 4 ?a trnoitov:l ^f niion / r ru iirudr os do.r o ry d'.r l i n,i'6 n a o.r d'r ri.r nr a 1 #u u ri,r ii r a rr rr riu 1 y,l sr al 114-:.1rUfl r T{ u R1U I : n d il il r n : 6 I q a rr-.r riu ar 4v ru t:u:lj0{y1{fl5lJnlU r r n ri r n r : o t9l nV- i r n : rv r{g I r{ f rn o fu a r :J n fi u rr u , r,j dl lfi9l{9to tllJ u 0{0ur?05[n0t9t?ou1 rlavilr{a l{ qilnrnidiyt q tU o1ngilfi 3 uns 4 ovr#ulddrqrJnfiurfluulr :.r o t- A rir fi I 0 u ii 1 uil n'.:.1 tu il I n n'j I (rfi or n r r ru io u av q ai a e lu n : tI fr rry ri { d r u r il u }r fi o rr il a { rr u n rr li il ) uil d { ii I rin,i rnnfi nnt:drd'oardruofi nddrnu'rruu,,uu grJno'uffurYu'lo f lv,hflrh?ri'l lu a flil1nn'itAureo frsro .Aav'dtJ (ttljnln0tfi :o14u0trlja{rrufllrllrl) fl o{0ur?0:rn0 jroy q 2. 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'-1 f',h ,a MATLAB/SIMULINK .o9aludala n1ililn lfi d?yt x4 nn?rilu d? urri'rrirub'fufl uurtirrirob{n:{fi yll luyll{ qnun }jfi ?il,ila,,urn I Htrnorrlt Ordcr n (b) 06 trrJnd v 3 Tn/rv'|fl , iiruur.rriuh?du:rn:6ur:ofrnofroy'uind - i, llndvn? nfll M riurfl ur.rr: : J I ${n00gn! lilnn R, L el4at orruoreraf fi sioulr o lYs TtlD-?ir?. l0 € E 3. 06 trrJfi z uen.:trrJnduu:.:6'urorriqyrtor6urrofrnofrory i, vlgloOln:ll (u) e t"l grlnduu:.reiulnrirorrf4n anJnnilurrriulaf uo" y drnrrr:n aJ Itdn{nnn1:n1ao{ tfr9r{u (a) IIJY| l0 uo" fiaonndo.rriulrJ (a) inndrrnrotna;ri.r flfi zg ariufi g rYus'luu 2549 46 4m z.S/s *t'Erddntnt^l: e Ss tlaeft3 Elaentl 0.00 s-19 o.w 1@.05 0.00 S.1B 6.0? 'A TllD:3.9tfi, E p z.$s/s te >x -fl 9.6 1.6 1.S i.w 97.8t 108.6 97 16.69 9.Bl o,n t.sl 1.452 0.s l.w 0.051t s.ffik e .v? 1.913 o.61t o.Lv^ 0.1fl3r 0.18$k o.L67 e ,6$ Ordcr llilurctlc r&:i grJd r o teiol (a) (u) pJna'un:rrre'lari arilnflfiln:vrrd'lad iA in fiaoondolrilpl {u) grJfi ta,,ar.,n:sttattasrirrirdl'llhtrfi uild':dru rr q rJ fi r r pJ n aAu ri r d'.r 1 lhl r fi o^ ilindudnvd'r firvla u4 t m oI 6u n o itsr o f t o :.: siu'l v,l :I n t o.r 6u tr o f rsr o f ro m F n dr rs'i a v d'r s ; I I l 1 j flaRr:ilnao{ 4. o1n?i {l s du rfu qr.l dnnl: [tn; d I il I : otnio qdutrt rr fi utl ,i o'rlurir{o fi riru lr ra arrt tr'l rnnr:'i n d 31 { o^u r': o arn t nao rL 1 d rrn f r sr o ir o 6 : s riu ryfi s'ldfi r nr : yt n a o I ril ru dr u'l cl 3 HR 3 80 v rfi o vr'q I rf ril grlfr rz dqtyrorn?uEudard s* s2r n uo* {n15li'l'llu ra or fr r s,,an.t q rJ n 6u t t:.: eiutv{ atorv{4 tt n otn o f nanr : or i- i*-f -' *- 1" "' .....,-,- "t--F--- tras s,' to'ltv'ldA (b) grJfi re tu) grJndurt:rdu'ladtorv{4n uo" (u) anJ gtlli t A*A*t.rriurorv{4vnro{6unoftnoirovil?nd ruciavsr'r1urv'la e n fl iu r r: I riu'lari uou fi ao o n de I fi'rL ;:J {u) Ladkrabang Engineering Journal, Vol. 23, No. 3, September 2006 47 rillun1el : unnrrrLfil#,oduo pzaooo power Analyzer d < a jqYq o tljutfr : 0': tJ 0 1l Ifl [u fl 1: ?n o @u'qj a.: tyi 1I't n] yt ttil qyv a { fl ]u til n il q/lal,v ollt?0: 6. tgt 0:t0YU : 9l 0[[9] dy9l'] rondr:dl{a.r [1] S. Sirisukprasert, J.S. Lai, T.-H. Liu, "Optimum with a Wide Range of Harmonic Reduction Modulation Indexes for Multilevel Converters," CPES. vol. 49, no. 4, pp. 212-217 , August 2002. [2] l. N. Chiasson, L. M. Tolbert, K. J. McKenzie and Z. Du, "Real-Time Computer Control of a Multilevel Converter using (b) grJndun:rne'lariio 17 (a) Iilfi auJnnfiln:sud'lad (u) [3] J. N. Chiasson, L. M. Tolbert, K. J. McKenzie and Z. Du, "Control of s. 6rlil rnr{an'r:rnno{r-ilil0rfl ofrfi d urr r i 9l'r'r dl il a tn ? 1 I il n n il dfu q 1 il uriliarilrvla fi I nu fl u nn 1 o v unu n il r{ n rrnnr:,iraordrold:un:ru MATLAB/stMut-mr dr u r @ Y d q e 'i rlju ttj9tlilfiann1:t1{nu ry{luIlJ11 I I Technology, vol. I [4] d.r A/lal,v out?o t ta o : to 1u : fi 0 [[n nv fl n a o { du dr r s rfi a t - anu ltH l t u'i 0 : [n 0 il o ril^ J 0u[? i 1 r1 u n{ n1u ii r : rr'u,,, o au,u', niu vr fl o.: t qo a Yv til nu a n lJ o u r? o : a or.: g rJ n n' u nr : r.l fr : l riu rr gr r a ? 0 : c r v,l u{n { rl a nu rJ q.r g rJ u ai : o YlJ r I . t i 1r u u n r : da fl dl J rj u dr l5 uav t6 : l riu'l n ,4 fi sr d{ r{a n : : ;?4a'Ao r o 1 yl il m " n: v fldvt 1l lU fl O.t 0 Ut? 1 { J 1.1U{ rJ ,itani s vr u 9l 0 Iu n nu rr O n{ t il u i :"tgt O : il fl 1 :'r r il : { 9lu : 1? u rv{ I U :rn rr n r : 1J ai m'f riu hi d, tt : { 9ru t a u o fl U n [[n [6] N. Chiasson, tt n u urd dln q t n 0 n il 1.1 B. Ozpineci, L. M. of Tolbert, "Harmonic Optimization Z. Du., K. J. in a Harmonics 1, pp. 75- J. 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Tolbert, l, Cascade Multilevel Converter : f u rJ : r : il u r r ! g m n n 1 un a { I n fl a fl ] rJ : r0 5u ^5 n 0 ltn ttav fl ? tu?t e 4 v d o cv cr{il J I 1 r.l nu [[au I I Qol : rnr I nriln1niluu I dri n'] il lnd'rdu':riusi.ruan.:lug:Jfi r+ rirulugrJfr rr Multilevel Converter Ciasson, "Charge Balance Control Schemes for lfln0]nfl]ru'r dqq rorrr: 'r d'uulil n: ruav n: v nd6/ru 6uU yr r o ': ru a Resultant Theory," IEEE Trans. Control Systems fl lil u Mathematical Theory of Resultants," Electrimacs 2002, pp.l-6,August I 8-21. fiaonndo.r6'rgrJ {u) iA the Letters, vol. 3, no. 3, pp.92-95, Semtember 2005. [7j J^^ t ^ dyrril5 r0u:uuTlrqmi, ?0fl: nfl]r:fl "0u[?0:telo: al o v 4 A / ^ dllJ:vfl1J tautrytmnunfll:nt0nat:uound" dl:arfln:uf': ilrir 2546. s:-ss, ilfi t 1?l') zo q:Yufi 4 f,urrnru