Various Modulation Methods of Matrix Converter

Transcription

1 Internatnal Jurnal n Recent and Innvatn rends n Cmputng and Cmmuncatn ISSN: Varus dulatn ethds f atrx Cnverter rupt L. Bnde Department f Electrcal Engneerng DBCER, Wanadngr, Nagpur. trupt_bnde@yah.cm Prya D. Duggal Department f Electrcal Engneerng DBCER, Wanadngr, Nagpur pryaduggal5@gmal.cm rs. A. Y. Fadns Department f Electrcal Engneerng Y.C.C.E, Wanadngr, Nagpur. ayfadns@gmal.cm Parage G. Shewane Department f Electrcal Engneerng DBCER, Wanadngr, Nagpur pshewane.dbacer@gmal.cm Abstract:- atrx cnverter s a drect ac/ac cnverter, whch cnverts nput lne vltage nt varable vltage wth unrestrcted utput frequency wthut usng ntermedate crcut, dc-lnk crcut. Pure sne-n and pure sne-ut s the unque feature f the matrx cnverter. hs paper presents the mst ppular mdulatn strateges fr matrx cnverter. Keywrds:- AC AC cnversn, cntrl strateges, matrx cnverter (C, mdulatn schemes. ***** I. Intrductn A matrx cnverter s an ac-ac cnverter, knwn as drect cnverter as shwn n fg.1.atrx cnverter drectly cnnects pwer supply t the lad wthut usng any dc-lnk r large energy strgy element such as capactr. atrx cnverter s frced cmmutated cnverter whch uses an array f cntrlled bdrectnal swtches as the man pwer elements t create varable vltage wth unrestrcted frequency.he ntensve research n matrx cnverter starts wth the wrk f venturn and alesna n hey prvded the mathematcal backgrund fr matrx cnverter. As shwn n fg. the cnverter cnssts f nne bdrectnal swtch arranged as three set f three s that any f the three nput phases can be cnnected t any f the three utput phases. [1][][10] Input Utlty AC AC Fg 1. Drect pwer cnversn S 1 S lad V a Fg.Cmmn emtter bdrectnal swtch arrangement he man key f matrx cnverter s fully cntrlled fur quadrant bdrectnal swtches whch allw hgh frequency peratn fg. he bggest dffcultes n the peratn f matrx cnverter s cnverter cmmutatn strateges f the swtches and ths dffcultes are slved by ntellgent and sft cmmutatn technques [8][9][10]. Advantages f atrx Cnverter N dc-lnk capactr r nductr. Snusdal nput and utput current Pssble pwer factr cntrl. Fur quadrant peratn. Cmpact and smple desgn. Regeneratn capablty. V A V B V C S S 4 S 5 S 6 S 7 V b Dsadvantages Of atrx Cnverter Reduced maxmum vltage transfer rat. any bdrectnal swtches needed. Increased cmplexty f cntrl. Senstvty t nput vltage dsturbance. Cmplex cmmutatn methd. S 8 V c S 9 Fg.. atrx Cnverter Swtch Arrangement IJRICC December 014, 410

2 Internatnal Jurnal n Recent and Innvatn rends n Cmputng and Cmmuncatn ISSN: II. dulatn echnques Fr atrx Cnverter Va ( t SAa SBa SCa VA Vb SAb SBb SCb VB he dulatn echnques are used t ncrease vltage Vc ( t SAc SBc SCc VC transfer rat.he dfferent type mdulatn technques are as fllws: VO * V ( Venturn mdulatn technque. where =Instantaneus transfer matrx Carrer based mdulatn technque. Space vectr mdulatn technques. I A SAa SBa SCa Ia IB SAb SBb SCb Ib dulatn and Cntrl ethds fr atrx Cnverter IC SAc SBc SCc Ic Other Drect Cntrl (Venturn Scalar echnques Scalar (Ry Pulse wdth dualtn Carrer Based Drect rque Space Vectr dulatn Predctve Cntrl Predctve Current Cntrl Predctve rque Cntrl Fg. 4. Summary f mdulatn and cntrl methds fr Cs. Fg 4. Shws the varus mdulatn methd and cntrl methd f matrx cnverter frm whch n ths paper explan sme f mprtant methd used n matrx cnverter cntrl. where =he transpse matrx f. Where, V A,V B, V C =Input phase vltage. V a,v b,v c = utput phase vltage. I A,I B, I C =Input current f matrx. I a,i b, I C = current f matrx. S S S 1. j { a, b, c} Aj Bj Cj ( (4 he basc swtchng states are shwn fr fg. n fg.5 S Aa =1 S Ba =1 t Aa t Ba t Ca S Ab =1 S Bb =1 S Cb =1 t Ab t Bb t Cb S Ac =1 S Bc =1 S Cc =1 t Ac t Bc t Cc Fg 5..Basc Swtchng Sequence phase a phase b phase c Defnng the swtchng functn f a sngle swtch as:- S kj 1, swtchskjclsed 0, swtchskjpen k{ A, B, C} j{ a, b, c} (1 he mathematcal expressns that represent the basc peratn f matrx cnverter are as fllws:- A.Venturn dulatn echnques:- Gves a set f nput vltage and an assumed set f utput current.[1][][7][11]. cs( wt v v m cs( w t 4 cs( w (5 cs( wt I I m cs( wt 4 cs( wt (6 Vltage gan between the utput and nput vltage s:- cs( wt v q. v m cs( wt 4 cs( wt (7 IJRICC December 014, 411

3 Internatnal Jurnal n Recent and Innvatn rends n Cmputng and Cmmuncatn ISSN: cs( wt I q.cs( I m cs( wt 4 cs( wt 0 (8 he swtchng tme f matrx cnverter can be calculate easly therefre by usng belw equatn cmputed. hey are mre cnvenently expressed drectly n terms f the nput vltage and the target utput vltage n the frm V C >V A X C =1 If abve table cndtn are nt satsfed than lgc varable take the value 0.he gate pulse pattern generated f the matrx cnverter s gven accrdng t a swtchng state selectr generated by the fllwng equatn:- N=16x A+8x B+4x C+L 1+L0 (11 1 VV k j [1 ] (9 V m Fr K={A,B,C},j={a,b,c} Aa Ba Ca ( t Ab Bb Cb Ac Bc Cc (10 If t j s defned as the tme durng whch swtch s j s n and s as the samplng nterval then []. V jn t V t V t V Aj A Bj B Cj C S (11 B.Carrer Based dulatn ethd. CARRIER BASED mdulatn s appled t a three phase t sngle-phase matrx cnverter,whch can be easly extended t a three-phase-t-three-phase r multlevel cnverter.he technque s based n snusdal PW,whch s a well-knwn shapng technque n pwer electrncs where a hgh-frequency trangular carrer sgnal Vtr s cmpared wth a snusdal reference sgnal V[4].he swtchng pulses are generated by usng a lgcal table as a functn f the nput vltage and desred levels n the utput sde. he dfferent nput vltage states are dentfed by cnsderng varable XA,XB,XC whch are generated accrdng table I.[] ABLE I PW EHOD: Input Vltage States Cndtn Value V A >V B X A =1 V B >V C X B =1 where L and L 1 are the utput vltage levels. PW methds can wrk wth a varable nput pwer factr, where t s pssble t synthesze the snusdal nput currents wth a desred pwer factr by changng the slpe f the carrer and usng the ffset vltages[6]. C. Space Vectr dulatn echnque he space vectr mdulatn s well knwn and establshed n cnventnal PW nverter. Fr a matrx cnverter,the SV can be appled t the utput vltage and nput current cntrl. he vltage space vectr f target matrx cnverter utput vltages s defned n terms f lne t-lne vltages[1]. V ( Vab avbc a Vca (1 I ( Ia aib a Ic (1 Where a e ( j he cmplex plane V (t s vectr f cnstant length ( m qv rtatng at angular frequency ω. As shwn n fg.. the three phase matrx cnverter are swtch n 7 pssble cnfguratn and that swtchng are classfed nt three grups wth the fllwng characterstcs. Grup 1: Each utput lne s cnnected t a dfferent nput lne.utput space vectr are cnstant n ampltude, rtatng at the supply frequency. Grup : w utput lnes are cnnected t a cmmn nput lne. he remanng utput lnes s cnnected t ne f ther nput lne. space vectr have varyng ampltude and fxed drectn ccupyng ne f sx pstn regularly spaced 60 apart. Grup : All utput lne are cnnected t cmmn nput lne. space vectrs have zer ampltude. In SV, the Grup 1 vectr are nt used.he desred utput s syntheszed frm the grup actve vectr and grup zer vectr. he swtchng tmes fr the space vectr fr the each sectr are gven belw[][5]. IJRICC December 014, 41

4 Internatnal Jurnal n Recent and Innvatn rends n Cmputng and Cmmuncatn ISSN: V t1 sn( V seq env (14 V t6 sn(60 V seq env (15 t0 seq ( t1 t6 (16 Where t s the tme spent n zer vectr. here s n unque way fr dstrbutng the tme (t 1,t 6,t 0 wthn the swtchng sequence. he example fr swtchng tmes s shwn n fg 6. t 1 / t 6 / t t 6 / t 1 / FIG.6.Swtchng mes III.ASSESSEN OF HE EHODS he perfrmance f methd can be cmpared cnsderng the fllwng fgure f mert:- heretcal cmplexty Qualty f lad current. Dynamc respnse. Samplng frequency. Swtchng frequency. Resnance f nput flter. able II presents a cmparsn f these methd []. ABLE II Cmparsn Of hese ethd Venturn Carrer based PW Space vectr mdulatn Cmplexty Lw Very lw Very hgh Samplng frequency Swtchng frequency Dynamc respnse Very lw Lw Lw Very lw Lw Lw Gd Gd Gd Resnance nput flter Lw edum Lw IV. CONCLUSION hs paper revews sme well knwn mdulatn technques fr matrx cnverter. he relatnshp between the nput/utput vltage n the tme dman and the nput/utput reference vectr n cmplex space s systematcally analyzed.. he three methds are cmpared n table II. REFERENCES [1].Rameshkumar,Y.Sreenvasa Ra and A.Jaya Laxm, dulatn and Cntrl technques f atrx cnverter,internatnal jurnal f Advance engg,vl- 4,pp.44-55,July01 [] Jse Rdrguez, arc RveraJhan, W. Klar, A Revew f Cntrl and dulatn ethds fr atrx Cnverters IEEE transactns n ndustral electrncs, vl. 59, NO. 1, January 01 [] G. lan,. hamadan, S.. Dehghan, E. Sef, and A. Yazdan, A nvel SPW strategy fr sngle- t threephase matrx cnverter, PEDSC 011, pp , 011. [4]. Yamashta and. akeshta, PW strategy f snglephase t three-phase matrx cnverters fr reducng a number f cmmutatns, IPEC 010, pp , 010 [5] Yngl Fang,Gujun an, Space Vectr dulatn hree-phase t w phase atrx cnverter,he Internatnal cnference n Electrcal engneerng,pp-1-4,009 [6] Sungmn km.yung-d yn, PW methd f matrx cnverter fr reducng utput current rpple,pp ,ieee,009. [7] Hulus Karaca,Ramazan Akkaya, Cntrl Of Venturn ethd Based atrx Cnverter In Input Vltage Varatns, Internatnal ultcnference f Engneerng,vl.,IECS 009 [8] Sangshn Kwak, aehyung Km, Desgn f atrx Cnverter plgy and dulatn Algrthms wth Shrted and Opened Falure lerance, IEEE,pp ,008 [9] Sangshn Kwak, Hamd A.lyat, Develpment f mdulatn strategy fr tw-phase AC-AC atrx cnverter. IEEE transactn n energy cnversn,vl.0,n.0,june 005. [10] Lxang We, hmas. A Lp, A Nvel atrx Cnverter plgy Wth Smple Cmmutatn IEEE,pp ,001 [11]. Venturn, A new sne wave n sne wave ut, cnversn technque whch elmnates reactve elements, n Prc. Pwercn 7, 1980, pp. E/1 E/15. IJRICC December 014, 41

5 Internatnal Jurnal n Recent and Innvatn rends n Cmputng and Cmmuncatn ISSN: IJRICC December 014, 414