Maximal Wind Energy Tracing of Brushless Doubly-Fed Generator under Flux Oriented Vector Control
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- Garey Berry
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1 axmal Wnd Enegy Tang of Buhle Doubly-Fed Geneao unde Flux Oened eo Conol Hham Sehoud, Djlan Benaou Inue of Sene Tehnology, Unvey Cene of E-Oued, Algea Coeondng Auho; Hham Sehoud,B 476 Gumae, E-Oued 94, Algea, Reeved:8..Aeed:5.. Aba-The am of h ae o een he omlee modelng and mulaon of a gd-onneed buhle doubly fed nduon geneao (BDFG) fo vaable wnd enegy onveon ued o ae a maxmum owe on akng T aegy fo dffeen veloe. The deoulng onol of ave and eave owe fo BDFG ha been develoed ung I onolle. The efomane of ooed ao owe wndng flux oened veo onol examned. The omlee yem mulaed n he alab/smulnk envonmen and he omue mulaon eul obaned onfm he effevene and valdy of T aegy. Keywod-Buhle doubly fed geneao, wnd owe geneaon, flux oened veo onol, maxmal wnd enegy aue. Inoduon The BDF whh alo known a a elf-aaded mahne omoed of wo hee-hae wndng n he ao of dffeen ole numbe (alled owe wndng W and onol wndng CW) and a eal oo wndng[].tyally he wo ao ule ae of dffeen fequene, one a fxed fequeny uly onneed o he gd, and he ohe a vaable fequeny uly deved fom a owe eleon fequeny onvee (nvee), a lluaed n fgue (), he naual ynhonou eed of he mahne equal o: () Whee and of he W and CW volage. ae he eleal angula veloe Reen eeah ha lluaed he advanage of he buhle doubly-fed mahne (BDF) n moo dve and geneao yem alaon ome gnfan advanage fo wnd owe geneaon, a hey offe hgh elably and low-manenane equemen by vue of abene of a buh gea [6]. 5 HZ Ully gd Ge box BDFG f AC/DC/AC Conol Fg.. Confguaon of a BDFG wnd enegy onveon yem Th onfguaon fnd an neeng n enegy geneaon alaon eeally n enewable oue, The vaable eed onan fequeny (SCF) he mo neeng f he naue of wnd wh he aably of wnd geneang yem onanly neang, moe moan o move he effeny by aue he maxmum wnd enegy and ue he hgh qualy, effen and onollable whee he majo hallenge ndeenden onol of ave and eave owe exhanged beween he BDFG and he gd.
2 . Conol ehanm of he axmal Wnd Enegy Caung Wnd enegy aued by he blade of he wnd ubne and uned no mehanal oque on he hub. fom Bez heoy, he aue owe go fom wnd enegy by wnd ubne an be exeed a [6,7]: C R () Whee he a deny, R he ubne adu and he wnd veloy, fuhe he owe oeffen C a funon of he eed ao ( R / ) a well a he blade h angle, he angula eed of he wnd ubne. 6 C (, ).576 (.4 5) e.68 ().5 Whee (4).8 Clealy he ubne eed ha o be hanged along wh wnd eed o ha omal eed ao mananed fo maxmum owe aue and he geneao ave owe mahe u o he ouu owe of he ubne. Fgue how he uve of he owe oeffen veu λ fo a onan value of he ah angle β. I lea fom h ue ha hee a ean value of λ fo whh C maxmzed, maxmzng hu he owe fo a gven wnd eed. Fgue how he owe- Seed haae of he wnd ubne, he eak owe fo eah wnd eed ou a he on whee C maxmzed.to maxmze he owe geneaed, heefoe deable fo he geneao o have a owe haae ha wll follow he maxmum lne. C C max Fg.. Wnd Tubne Geneao C haae /KW 5 5 ν m/ ν 9m/ ν 7m/ ν 5m/ m (m) Fg.. Wnd Tubne Geneao owe- oo eed haae To exa he maxmum owe geneaed, we mu manan λ a he omal ommand oo eed.the meauemen of wnd eed dfful, an emae of value an be obaned: R (5) ef o The eleomagne owe mu be e o he followng value: ef C maxr (6) Fom he eleomagne owe efeene value, eay o deemne he value of he eleomagne oque eng: T (7) ef ef / C (, ) C R Wnd ubne Geabox The Shaf C f (, ) R ν R o Conol oque N N T ef N Fg.4. Wnd ubne onol J f o. ahemaal odel The model n he owe wndng flux fame exeed a [4,7,] : 44
3 d q d q d q R R.. R. R. R. R. d q d q d q d d d d d d d d d d d d d q d q d q q d ( ( ( ) ( ) The flux equaon ae gven a: d d d q q q d d d q q q d d d d q q q q ) ) q d q d (8) ( 9) () () () () d q q q d 4.. W Flux Emao d (9) Fom of W volage equaon hown (8) devaon n he aonay efeene fame ( efeene fame) gven a follow: ( ( R R ) d ) d The W flux angle an be exeed a: () aan () 4.. Conol of owe Wndng Cuen: Suoe ha he BDF unnng n eady ae, hen he dynam model an be anfeed o he ae model [7,] a followng: T e The eleomagne oque exeed a []: q d d q q d d q (4) The ave and eave owe of owe wndng ae defned a: Q ( dd qq) (5) ( qd dd) (6) 4. Conolle Degn 4.. Conol of he BDF Wh a owe Wndng Feld Oened. If he d-ax of he owe wndng ynhonou efeene fame algned wh he owe wndng a ga flux he owe wndng R negleed, hen hee elaon beween he owe wndng volage and flux: d q q d q d (7) (8) Fom (8), he equaon lnkng he oo uen o he owe wndng uen ae dedued below: d q R R d q.. R. R. d q d q. q. R. R. d q d q d q q d d q q d d q, ae he l, whh ae defned a:, d () () (4) (5) Equaon (6),(7) an be obaned by ombnng equaon () wh equaon (4) and ondeng equaon (8),() and negleng he owe wndng eane. d q R ( ) d q (6) R R ( ) q d (7) 45
4 Equaon (5),(6) eeen he elaonh of he owe uen and onol wnuen. The f em of equaon (5) (6) defne he de oulng beween, The eond em, efom a a onan and he hd em efle he o oulng Conol of owe Conol Cuen Combnng wh equaon (9), (), (9), (4) he onol wndng volage an be deved a: d R. ( (8) q R. ( (9) d ( d ) d q )( ( )) q ( q d d ) d R q d )( ( )) The f em: elaon beween d q R. q wh q The eond em: R d d q ( ) R d d d q d d d d d q d d d d d q d how he eeen he o oulng an be negleed n eady ae. d q d The hd em: )( ( )) ( d d how anohe o oulng, an be negleed omaed wh he de oulng em. A mla devaon an be aled o he analy of equaon (8) heefoe and an be a f ode elaon. 5. Conolle Synhe The ave and eave owe onol aegy fo BDF debed by mean of he owe wndng uen, he d-q omonen of he onol wndng uen ae defned n he owe wndng flux oened efeene fame, wh an be lnealy onolled hough a ooonalnegal (I) egulao. We wll nodue an addonal onol loo owe level n ode o move he a eo, he ao owe wndng an be onolled by onollng ah a hown n Fg (5)., Q, Q Comenaon, d q d, q Fg.5. Conol heme d, q Q FOC d a q b dq-ab W Conol Sa Sb S d-q/ab ab/d-q Flux Emao, Réave and Ave owe emaon, Refene owe Calulae d m ehanal Deve ubne Fg.6. Ave and eave veo onol blok dagam 6. Smulaon Reul The mulaon unde ATAB /Smulnk ha been done wh a ode, fxed-e olve wh a e ze of e-5. The amle mahne ued n h mulaon model Y-Y onneed and ao wndng 6- ole, he man aamee of BDF mulaon model ae eoed n Table I, The wnd aamee ae:, R m,he omal 46
5 eed ao 8.,and he oeondng maxmum o owe oeffen C max. 48,ohewe he eed neae ao of he geabox N=. To evaluae he dynam efomane of maxmum owe on akng of he yem ooed a e hange n wnd eed a hown n Fgue 7. The heoeal omal angula fequeny of BDF alulaed: ((6/ ) o)/ R (m) N (m) When wnd eed 8, 9, m/, he omal angula eleal fequeny ae: 4.5, 464, 55.6 (m), In Fg.8 deed he omal ommand eleal angula eed of oo and vae wh he vaable wnd veloy a hown n Fg 7. The ave and eave ao owe and efeene ae deed n Fg 9 and Fg. Thee uve eeen a good uu exeng ha he eene of he ollaon dung he anen mode. Fg 7 how he uaon when he wnd veloy vae uddenly fom 8 m/ o 9 m/ a = and fom v= 9 m/ o m/ a = 4., In boh ae, C an fa eah aound he omal value. The owe oeffen ke aound omum Cmax =.48 ou a a λo = 8.a deed n Fg. and Fg.. Fg. lluae he oo eed- owe haae of BDFG aode wh he omal value, hee eul ealze he maxmum wnd enegy akng onol. Wnd eed (m/) 9 8 (K W) Q (K AR) C Tm() 5 4 -ef -m Fg. 9. owe wndng ave owe Tm() Q-ef Q-m Fg.. owe wndng eave owe 4 5 Tm() Fg.. owe Coeffen C vaaon Tme() 8 6 Roo eed (m) Fg. 7.Wnd eed Tm() Fg.. he eed ao 4 5 Tm() Fg. 8. Roo eed 47
6 /KW 5 5 ν m/ ν 9m/ ν 7m/ ν 5m/ -m m (m) Fg..Wnd ubne maxmum owe ajeoy 4 Fg.4 hown he fequeny and amlude of he onol wndng uen boh hange dung he eod of he ave and eave owe vaaon, he Fg.5 hown he fequeny of owe wndng uen onan aodng o owe fequeny of he gd wh amlude hange when he efeene of he ave and eave mahne owe modfed. In Fg 6, we an ee ha he owe wndng flux follow efeene ax (d) wh a quada omonen nea zeo and Fg 7 he zoom of a ao owe wndng volage and he oeondng uen how ha he ao owe wndng uen hae hange a a eul of neae o deeae of eave o ave wndng owe demand. 7. Conluon a (A) a (A) (wb) Tm() - Fg. 4. hae onol wndng uen Tm() - - Fg. 5.hae owe wndng uen d d Tm() 4 Fg. 6.owe wndng Flux a a a a Fg. 7.Zoom of hae owe wndng uen and olage In h ae a wnd enegy onveon yem ung buhle doubly fed nduon geneao (BDFG) wa eened. The am of he ae wa o develo a aegy of veo onol n ao owe wndng flux oened of he BDFG baed on a onol algohm deouled of he ave and eave owe. The lnea I onolle ae ued o onol boh owe and uen and he aamee ae nally degned a a ef oeang on, he ooed onol mehanm of he wnd ubne n ode o oban a maxmum owe ued and The mulaon eul onfm he valdy and effevene of he ooed omal onol aegy. Table. The eleal aamee of BDFG W CW Roo Reane ( ) R =.45 R =.45 R.6 elf-nduane (mh) uual nduane (mh Refeene =7.8 =65. =69. =6. =4.8 [] Helo ololn, Renao Calon '' Gd Synhonzaon and axmum owe on Takng fo Wnd Enegy Geneaon Syem wh Buhle Doubly Fed Induon Geneao'' IEEE, Indual Eleon Confeene IECO,.7 77,8. [] Wnd-owe Geneaon Syem Huang Shoudao, Wang Y, Wang Yaonan, Ren Guangfa, Ave and Reave owe Conol fo Buhle Doubly-Fed ahne owe Eleon and oon Conol Confeene, 4. IEC 4. The 4h Inenaonal [] Q Wang Xaohu Chen and Yanhao J Conol fo axmal Wnd Enegy Tang n Wnd Buhle Doubly-Fed owe Geneaonon Syem Baed Double Synhonou Coodnae. oeedng of IEEE Indual Eleon Confeene, IECON 6. [4] J.oza, E.Oyabde,I.Saaola.Rodguez.Rodguez ''eo onol degn and exemenal evaluaon fo he buhle doubly fed mahne'' IET Ele owe Alaon, July 8. [5] Shy Shao,Ehan Abd and Rhad aho ao flux oened veo fo Buhle doubly fed nduon 48
7 geneao IEEE Tanaon on Induy Eleon,ol.56,No.,Oobe 9. [6] Zakun Saaola, Jave oza,ean Oyabde,guel Angel Rodguez ''Sably Analy of a Buhle Doubly-Fed ahne unde Cloed oo Sala Cuen Conol'' oeedng of Indual Eleon Confeene IECON, 6. [7] Huang Shoudao We Yan n Youje Wang Yaonan fuzzy-baed owe fao onol fo buhle doublyfed mahne oeedng of he 4h Wold Conge on Inellgen Conol and Auomaon, June -4,, Shangha..R.Chna. [8] Yong u, ngzh Y, Xaoyun Zhao ''Conol of Buhle Doubly-fed ahne fo Wnd owe Geneaon Baed on Two-age max onvee'' oeedng of owe and Enegy Engneeng Confeene, AEEC 9. [9] ongya Xu, Zhen and Eel-Hwan Km Feld- Oenaon Conol of a Doubly Exed Buhle Reluane ahne IEEE Tanaon on Induy Alaon, ol.4, No., Januay/ Febuay 998. [] J.oza,E.Oyabde,D.Roye,and.Rodguez, Unfed efeene fame dq model of he buhle doubly fed mahne, o.in.ele. Eng. Ele-owe Al., vol. 5,no.5,.76 74,Se. 6. [] J.oza, E.Oyabde,and D.Roye, New veo onol Fo buhle doubly-fed mahne, n o.8h Annu, IEEE IECON, Nov., vol.,.8 4. [].B.ohamed,.Jeml, -Goa, K. Jeml.'' Doubly fed nduon geneao (DFIG) n wnd ubne modellng and owe flow onol Inenaonal Confeene on Indual Tehnology (ICIT) IEEE, 4. [] Dendouga, R. Abdeemed,.. Bendaa and A. Chaba'' Deouled Ave and Reave owe Conol of a Doubly-Fed Induon Geneao (DFIG). oedng of he 5h medeane onfeene on onol & Auomaon, July, 7. [4] Sh Jn, Fengge Zhang and Yongxn,''H Robu Conol fo SCF Buhle Doubly-Fed Wnd owe Geneao Syem'' oeedng of he IEEE nenaonal Confeene on Auomaon and log, , 9. [5] Fengge Zhang, Sh Jn and Xung Wang '' Robu Conol fo Buhle Doubly-Fed Wnd owe Geneao '' oeedng of he IEEE nenaonal Confeene on Auomaon and log,. 5 9.,9. [6] Yong u, ngzh Y, Hongbn an, Zhyong an '' The mulaon udy fo Buhle doubly-fed geneao wnd owe yem baed on fuzzy onol '' IEEE owe and Enegy Engnee Confeene AEEC,. - 4,. [7] D.Aouzellag, K.Ghedam, E..Bekouk '' Newok owe Flow Conol of aable Seed Wnd Tubne'' IEEE, owe Engneeng,Enegy and Eleal Dve Confeene, ,7. [8] J.oza,''odélaon, oneon e ommand d'une mahne Aynhone an Bala Doublemen Almenee ou la Geneaon a ee aable, h.d.deaon, Inue Naonal olyehnque de Genoble, O.. [9].C.obe, A Sudy of Buhle Doubly-fed (nduon) ahne H.D.deaon, unv..cambdge. U.K,e 6. 49
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