Space Vector Double Frame Field Oriented Control of Six Phase Induction Motors

Transcription

1 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha Sace Vecto Double Fame Fel Oente Contol of Sx Phae nucton oto KAAR KERAAZADEH R KANNEZHAD Electcal Engneeng Deatment Shah Chaman Unety B Goletan, Ahaz 655 RAN Emal: ezakan@cuac htt://otalcuac/ Abtact: n th ae a new oto fel oentaton contol of x hae nucton machne ooe he machne ha two thee hae wnng atally hfte by electcal egee he ynamc moel of the machne bae on the thee two menonal othogonal ubace he ooe metho ue a mle etmato fo entfyng oto flux an t oentaton o elmnate the exta hamonc cuent of tato wnng that ouce loe, ace ecto PW technque an ouble ynchonou fame cuent contolle emloye he mulaton eult llutate the aly an effcency of the ooe metho Key-Wo: - Sx-hae nucton machne; Vecto contol; Sace oltage moulaton R R m τ τ V V e P J Ω Ω ω θ ϑ Nomenclatue tato etance matce oto etance matce tato etance oto etance tato nuctance matce oto nuctance matce mutual nuctance matce mutual nuctance tato nuctance oto nuctance oto tme contant tato tme contant oto flux lnkage tato hae cuent tato hae oltage oto hae cuent oto hae oltage tato cuent matce tato oltage matce oto cuent matce oto oltage matce back-emf numbe of ole a neta coeffcent oto angula ee angula ee of δ fame electc angula fequency oto oton oton of δ fame ϕ oto oton eo (ϕ ϑ θ Τ m electomagnetc toque Τ loa toque amlng eo k kth nteal tme Subct a, b,c hae tato oto α, β tatonay coonate, q ynchonou coonate δ, contol coonate Suect ^ etmate alue ~ eo alue ntoucton Dung at eeal yea, multhae moto e hae been ooe by ffeent autho n the mult hae e ytem, the electc machne ha moe than thee hae n the tato an the ame numbe of nete leg ae n the nete e So the cuent e hae n the machne an nete euce he mot common mult hae machne e tuctue the x hae nucton machne (SP, whch ha two et of thee-hae wnng, atally hae hfte by electcal egee wth ouble neutal (Fg n th tuctue, each et of thee SSN: ue, Volume 4, ach 9

2 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha hae wnng excte by a thee leg (thee hae nete, o the total atng of ytem ouble, the toque ulaton wll be moothe, the oto hamonc loe a well a the hamonc content of the c lnk cuent wll be euce an the lo of one machne hae oe not eent the machne wokng, o mong the ytem elablty When a SP fe by a x te oltage ouce nete, lage hamonc cuent that o not contbute to the a ga flux, hae been obee [] hee hamonc geneate aonal loe n the machne an nceae the ze an cot of the machne e ytem [], [] he eeache ae focue on the ueon of thee tato cuent hamonc n th way, ome aoache concen the machne tuctue egn [4]-[6] he othe aoache concen alyng a oe PW technque fo eucng the hamonc oltage of the moto n th cae, wthout any mofcaton on the machne an t tuctue, an only by oe contol tategy of nete, they ty to euce unee cuent comonent Some eeache concenng contol of unbalance cuent hang between the two theehae wnng et h unbalance cuent ue to the mall ytem aymmete h oblem ha been cue n [7] an [8] an ha been ole n [7] by clong the contol loo n hae coonate an n [8] by ntoucng a ouble ynchonou fame cuent contolle n th ae a new confguaton of oto fel oentaton contol of SP wth ace ecto PW technque an ouble -q ynchonou fame cuent contolle eeloe Befoe n [9] we hae ooe an nect fel oentaton contol of SP n th ae we hae eeloe ouble -q ynchonou fame cuent contolle bae on the technque ooe n [8] n the nect fel oentaton contol of SP wth ace ecto PW h ae oganze n een ecton he moel of SP ecbe n the next ecton he th ecton eent the ecto contol of SP n ecton fou, PW of SP bae on the ace ecto ecomoton metho cue he ouble -q ynchonou fame cuent contolle ecbe n the ffth ecton he alcaton of the ooe contol metho to the SP eente n the xth ecton Fnally ome concluon an eecte wll be cue n the eenth ecton Fg Ccut agam of SP an t nete oel of SP oel of SP ee bae on the followng aumton: -the machne wnng ae bute nuoaly; -the mutual leakage nuctance ae neglgble; -the magnetc atuaton an the coe loe ae neglecte he oltage equaton of the SP ae a follow Fo the tato ccut we can wte: [ V ] [ R ][ ] ( [ ][ ] [ ][ ] an fo the oto ccut we hae: [ V ] [ R ][ ] ( [ ][ ] [ ][ ] n whch the cuent an oltage ecto ae: a b c c [ V ], [ ], [ V ],[ ] e f a b e f ( ( an: A can be een, the SP a x menonal ytem t hown n [8]-[] that t can be ecomoe nto thee two-menonal othogonal ubace, (α, β, (z, z, (z, z4, by the followng tanfomaton: a b c e f SSN: ue, Volume 4, ach 9

3 [ ] / n(5 /- n( - n( / co(5 /- co( - co( / n(4 / n( n( / co(4 / co( co( ( n th matx, the electcal angle between two thee-hae wnng; that electcal egee n th ae By alyng the tanfomaton ( to the oltage equaton ( an (, we can obtan ecoule moel fo SP: [ ][ ] [ ][ ][ ][ ][ ] [ ][ [ ][ ][ ] [ ][ ][ ][ ][ ] ( R V ] (4 [ ][ ] [ ][ ][ ][ ][ ] [ ][ [ ][ ][ ] [ ][ ][ ][ ][ ] ( R V ] (5 whee: [ ][ ] z4 z z z q, [ ][ ] z4 z z z q [ ][ ] z4 z z z q, [ ] [ ] z4 z z z q We can obtan new ytem equaton of SP a follow: achne moel n α-β ubace he tato an oto oltage equaton ae: β α β α β α ω ω ω ω (6 wth: m l l h moel mla to the thee hae machne moel n the tatonay efeence fame achne moel n z-z ubace z z l l z z (7 z z l l (8 achne moel n z-z4 ubace 4 4 z z l l z z (9 4 z z l l ( A t can be een fom thee thee ubytem, the electomechancal enegy coneon take lace n the α-β ubytem, an the othe ubytem o not contbute n the enegy coneon he z-z an z-z4 ubytem ae only oucng loe, o they houl be contolle to be a mall a oble t can be conclue that analyzng the SP efome by hel of the α-β ubace that mla to the WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha SSN: ue, Volume 4, ach 9

4 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha ynamc moel of a thee-hae nucton machne Vecto Contol of SP By ung ak tanfomaton, -q efeence fame moel fo oton of the SP that contbute n the enegy coneon can be obtane a follow: q q στ στ τ τ q q ω ω τ τ q q μ στ μ στ ( ω PΩ ( ω PΩ q μ σ μ σ PΩ PΩ q q σ σ ( whee, q, an q ae -q comonent of tato oltage an cuent ecto eectely that ae obtane fom ak tanfomaton of α-β comonent; an q ae the oto flux -q comonent an Ω the oto angula ee he machne aamete ae,,,, an P, wth: q t the objecte of the ecto contol he only egee of feeom the angula ee of -q fame ω whch mut be ue to egulate q to zeo n oe to o th an accong to (, the tato oltage angula fequency ω etemne by the followng ecto contol law: q ω PΩ PΩ (4 τ t can be ealy hown that th ecto contol law guaantee the egulaton of q to zeo f the moto aamete ae well known Relacng (4 to (, we can wte the followng equaton that ecbe the ynamc behao of ectocontolle SP: ωq στ στ σ q στ (5a ω Ω (5b q τ P σ σ (5c τ Ω (5 P J q J A can be een fom (5, the oto flux neenent fom the loa toque an q, an the loa toque ootonal to q an q σ, eq μ, τ, τ, eq he mechancal equaton the followng: J Ω m ( an: ( P m q q ( the toque geneate by the moto the loa toque uoe to be unknown Accong to moel (, f q ten to be zeo, the oto flux become neenent fom q whle the moto toque wll be ootonal to q 4 Sace Vecto PW h metho of moulaton ue n moen contol of nete contol by PW emt to aly nea nuoal oltage to the moto an alo euce toque ulaton By combnatonal analy of all tate of nete wtche, a total of 64 wtchng moe can be obtane By alyng the tanfomaton (, 64 oltage ecto ae ojecte on the α-β, z-z an z-z4 ubace A mentone befoe, we hae ue ouble neutal toology of SP a llutate n Fg n th cae, the ojecton of the cuent ecto on the z-z4 ubace zeo an the ace ecto PW efome only on the α-β an z-z ubace Fg how oltage ecto n the α-β an z- z ubace fo SP he ecmal numbe n the fgue, how wtchng tate of the nete By conetng each ecmal numbe to a x gt bnay numbe, the ncate, on tate of the ue wtch n the coeonng am of the SSN: ue, Volume 4, ach 9

5 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha nete he mot gnfcant bt (SB of the numbe eeent the wtchng tate of hae a, the econ SB fo hae, the th fo hae b, an o on We electe the bgget ecto n the α-β ubace to obtan the hghet amltue of toque (Fg he eecte oltage n the z-z ubace wll be the mallet amltue ecto hu we obtan maxmum oltage outut on the α-β ubace an at the ame tme, the mallet oltage on the z-z ubace, o the hamonc an loe ue to th ubace wll be mnmze he ace ecto PW metho of th eeach, accong to the oton of the efeence oltage ecto V αβ, ue fou ajacent oltage ecto an a zeo oltage ecto, all on the α-β ubace [] Fg Voltage ecto of SP Fg Selecte Voltage ecto n the α-β ubace he tme nteal coeonng to each oltage ecto calculate by the followng et of ytem equaton: Fg -a Voltage ecto n the α-β ubace 4 5 V α Vα Vα 4Vα 5Vα Vα 4 5 V β Vβ Vβ 4Vβ 5Vβ Vβ 4 5 V z Vz Vz 4Vz 5Vz 4 5 V z Vz Vz 4Vz 5Vz 4 5 (6 n th ytem of equaton: k V α : ojecton of the kth oltage ecto on the α-ax; k V β : ojecton of the kth oltage ecto on the β-ax; Fg -b Voltage ecto n the z-z ubace 5 Double Fame Cuent Contolle Due to the mall aymmete n the tato wnng an uly oltage, an eenng to ffeent oeatonal conon, the two tato wnng et hae ffeent cuent Fo comenatng th aymmety, accong to [8], a ouble -q ynchonou fame cuent contol can be ue (Fg4 n th cuent contol confguaton, the cuent of the two tato wnng can be neenently contolle, o the e aymmety wll be comenate h cuent contol tategy bae on the two et of -q cuent comonent; each et obtane fom one tato SSN: ue, Volume 4, ach 9

6 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha P R α β Fg 5 Etmato of oto flux oentaton P q q P P R α β oto ee q Fg 4 Double -q ynchonou fame cuent contol wnng et (one fom hae abc, an the othe fom hae ef By ung Clake tanfomaton fo eey et of tato cuent (7, an then alyng the otatonal tanfomaton (8, the - q cuent comonent of eey tato wnng et wll be ouce t houl be note that hae hft between the two et of tato wnng, mut be ale n the otatonal tanfomaton a α (7 b β c q Coθ Snθ Snθ Coθ α β (8 6 Smulaton Reult n oe to efy the effcency of the ooe metho n fel oentaton contol of SP, we hae eeloe a ogam bae on the ooe algothm Equaton (4 an (5c hae been ue to etmate the oentaton of the oto flux an t amltue, eectely (Fg 5 We hae ue P cuent an ee egulato t houl be note that the ouce oltage not meaue an the tato cuent an angula ee ae the only meaue ue n th contol algothm he aamete of mulate moto ae gen n the able he oeall ytem block agam hown n Fg 6 hown n table he oeall ytem block agam hown n Fg 6 Fg 7 llutate the mulaton eult of the ooe metho fo a tatu an ee neon tet A can be een, the ee follow the efeence ee ey well n oe to tuy the ubance ejecton ung the ooe metho, a new tet efome when the loa ae at t5 ec Fg 8 how the mulaton eult n th cae t can be een that the ee contolle ey well an t follow t efeence he machne angula ee well contolle A can be een fom thee eult, oentaton n all cae one well, an the hamonc cuent ae nea zeo able : Exemental Set u Paamete VS DC ouce oltage 6 V no of ole 8 utual nuctance Stato etance Stato leakage nuctance Roto etance Roto leakage nuctance neta coeffcent 5 mh 4 Ω 67 mh 7 Ω 67 mh Kgm SSN: ue, Volume 4, ach 9

7 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha Fg 6 block agam of fel oentaton contol of SP Fg 7a: eal ee Fg 7b: electomagnetc toque SSN: ue, Volume 4, ach 9

8 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha Fg 7c: eal ect an quaatc cuent Fg 7: oto flux etmaton Fg 7e: hamonc cuent z an z Fg 7f: hae cuent α an β Fg 7g: hae cuent a Fg 7h: hae cuent a Fg 7 Smulaton eult fo a tatu an ee neon tet, Ω ef a/ec SSN: ue, Volume 4, ach 9

9 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha Fg 8a: eal ee Fg 8b: electomagnetc toque Fg 8c: eal ect an quaatc cuent Fg 8: oto flux etmaton Fg 8e: hamonc cuent z an z4 Fg 8f: oltage an q SSN: ue, Volume 4, ach 9

10 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha Fg 8g: hamonc cuent z an z Fg 8h: hae cuent α an β Fg 8: hae cuent a Fg 8j: hae cuent a Fg 8- Smulaton eult fo a loa toque ejecton tet Ω ef a/ an 5 Nm 7 CONCUSON n th ae, we hae ooe a new metho of fel oentaton contol fo SP bae on ace ecto PW an ouble -q fame cuent contolle he ooe metho ue a mle etmato fo entfyng oto flux an t oentaton Sace ecto PW technque bae on the ace ecto ecomoton emloye Fo cancelng unbalance cuent hang between the two thee-hae wnng et ue to the mall ytem aymmete, ouble -q ynchonou fame cuent contolle ue We hae tete th metho une ffeent oeatonal conon, by mulaton We hae obtane goo eult n the ffeent oeatonal conon he mulaton eult how the effcency of the ooe metho Refeence [] RH Nelon an PC Kaue, nucton machne analy fo abtay lacement between multle wnng et, EEE an Powe A Syt, ol Pa-9, ay/june 974, [] A Abba, R Chten an Jahn, Sx-hae oltage ouce nete en nucton moto, EEE an n A, Vol A-, No5, Setembe/Octobe 984, 5-59 SSN: ue, Volume 4, ach 9

11 WSEAS RANSACONS on SYSES an CONRO Kama, Keamatzaeh, R Kannezha [] K Goakuma, V Ranganathan an SR Bhat, Slt-hae nucton moto oeaton fom PW oltage ouce nete, EEE an n Al, Vol 9, No5, Setembe/Octobe 99, 97-9 [4] Xu an Ye, Analy of a noel tato wnng tuctue mnmzng hamonc cuent an toque le fo ual x-te conete-fe hgh owe AC machne, EEE an n Al, Vol, No, Januay/Febuay 995, 84-9 [5] D Haouche, H Razk an A Rezzoug, On the egn of ual-tato wnng fo afe VS fe AC machne e, Conf Rec AS, - [6] A unoz an A o, Dual Stato Wnng nucton achne De, EEE an n Al, Vol 6, No5, Setembe/Octobe, [7] ROC ya an A o, oque Denty moement n a Sx Phae nucton oto Wth h Hamonc Cuent njecton, Conf Rec AS, [8] R Bojo, azza, F Pofumo, an A encon, Dgtal fel oente contol fo ual thee-hae nucton moto e, EEE ana On nuty A, Vol 9, No, ay/june [9] R Kannezha, B Nah, F Betn, G A Caolno, A new fel oentaton contol of ual-thee hae nucton machne, C 4; Dec 8 -, 4 [] Y Zhao an A o, Sace ecto PW contol of ual thee-hae nucton machne ung ecto ace ecomoton, EEE an n Al, Vol, No5, Setembe/Octobe 995, -8 [] D Haouche, H Razk an A Rezzoug, oelng of a Double Sta nucton oto fo Sace Vecto PW Contol, Conf Rec CE, 9-96 SSN: ue, Volume 4, ach 9