Study Of Starting Duty Of Wind Power Plant With Asynchronous Generators

Transcription

1 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe Study Of Statng Duty Of Wnd Pwe Plant Wth Aynchnu Geneat Rauf Mutafayev, Laan Haanva Azebajan Scentfc-Reeach and Dgned-Pectng nttute f Enegetc, Bau, Azebajan AZ, Aven. H.Zadab-9 utafyev@al.u, gaanvalg@al.u Abtact Peently, the a f wnd we lant (WPP) cnt tly f fequency cntlled aynchnu geneat. A the geneat the quel-cage aynchnu achne and geneat ade n the ba f duble fed aynchnu achne (DFAM) ae ued. When WPP lcate fa f the weful uce f enegy geneatn f we yte and they ae cnnected wth the we yte by "wea" we gd,.e. by gd, whch ae nt equed wth eactve we uce, then the unwanted vltage d ay ccu when cnnectng the WPP t the we yte n the lace f the cnnectn t the we yte. The caatve analy n the develed thee-cdnated atheatcal del f aynchnu achne f tat by undefequency elay and cnnectn f WPP wth the abve aynchnu geneat t the we yte ha been caed ut. t ha been fund, that n te f act f tatng dute n electc we netw the t efeable ae the yte f WPP wth quel-cage aynchnu geneat. The value f tatng cuent when tat by undefequency elay f WPP wth quel-cage aynchnu geneat ae alt 8% lwe than n the yte f WPP wth DFAM eactve we cenatn f aynchnu geneat wnd we and all hydelectc we tatn nceae the elablty f cnnectng the t the -called "wea" we gd f we yte. The ethd f eactve we cenatn f aynchnu geneat f vau degn. Keywd: wnd we lant, aynchnu achne, duble fed aynchnu achne. ntductn Tday all hydwe nduty and wnd enegetc tae the leadng tn accdng t the quantty f ntalled caacte and electc we utut, geneated by enewable we uce. Pa f den ndutal wnd we lant (WPP) cnt f hghly ecncal and elable clee, baed n the latet blade wnd t, hgh-tech geabe and cntlled electechancal cnvete []. F all th the unt caacty f WPP nceae f yea t yea and nw eache the value f 7, MW. 8

2 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe. Cntlled nductn geneat ued n wnd tubne The vat ajty f electechancal cnvete f WPP cnt f the cntlled aynchnu achne bth wth quel-cage t wth a fequency cnvete, feedng the tat wndng f achne, and hae-wund t equed wth a fequency cnvete, feedng a t wndng f achne (-called duble fed achne (DFAM)). The advantage and dadvantage f each f abve-tated tn ae well-nwn. Wthut gng nt detal f thee nwn ntn let' nly nte, that n the tn f quel-cage t the le, elable geneat cbne wth a fequency cnvete, ade f a full we f geneat, and n the tn f hae-wund t the elatvely clcated, e eenve and le elable geneat cbne wth a fequency cnvete, feedng the t' wndng f geneat and ade f nly % f geneat' we. n bth tn, thee aynchnu geneat n teady- tate eatn de cend n full eaue t the technlgcal equeent f tal eatn f WPP,.e. cntl f a tatnal fequency f wnd aggegate (wnd t, geab and geneat) allw vng t ductvty by % []. The ue f th ae the tudy ue f tatng dute f WPP, equed bth wth quel-cage aynchnu geneat and the geneat, ade n the ba f duble fed aynchnu achne. Thee ue ae atculaly ugent n the cae, when WPP and wnd a, cntanng eveal dzen f WPP, ae cnnected t the -called "wea" we netw,.e., the netw dtanced uffcently f we cente and nuffcently cenated by eactve we. n thee cae, the cnnectn de f WPP wth aynchnu geneat t the can lead t gnfcant vltage d f netw n tatu ed []. Stude ae caed ut n the develed thee-cdnate del f cntlled thee-hae aynchnu achne, whe equatn ae gven n [, ]. At the ft tage let tudy the tatu ue f WPP, cntanng a quel-cage aynchnu geneat, tat wndng f whch uled f a fequency cnvete, efed n fully cntlled we tant (GBT-tant) and cntlled n the ncle f nudal PDM. The yte daga f cnnectn t we netw hwn n Fg.. Fgue : Gd cnnectn daga f wnd tubne wth quel-cage nductn geneat Hee wnd t, GB geab, AG quel-cage aynchnu geneat, FC fequency cnvete, eatng n we GBT tant, T culng tanfe f cnnectn wth the yte. A t ha been nted n [], the equatn f fequency cntlled quel-cage aynchnu geneat ae eanable t eeent n the ae α, β, γ fed n ace, n th cae the equatn wll be eented n the f f: 9

3 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe e эм J ψ ψ Ψ Ψ * whee:,,,,,,,,,,,,,,,,,,,,,,,, α, β, γ, α, β, γ hae vltage f tat and t; α, β, γ, α, β, γ - hae cuent f tat and t; ψα, ψβ, ψγ, ψα, ψβ, ψγ flu lnage f tat and t ccut α, β, γ, α, β, γ etance f tat and t ccut; α, β, γ, α, β, γ full nductance f tat and t wndng; х utual nductn eactance; tatnal fequency f WPP' t, р nube f a f geneat' le; р dffeentatn ybl wth eect t ynchnu te t ec. t huld be nted that tw nd f fequency cntl ae ued - cala and vect ne [, ]. The let cntl f the accdng t degee f ealzatn a cala ne. When tudy the ue f tat by undefequency elay, t eanable f the nt f vew f cang the eult f tudy f tatng dute act n electc we netw t tun t the cala cntl. The aynchnu geneat f WPP wth the caacty f WPP P W and 9 WPP V vltage taen a the tuded bject (geneat' aaete ae gven n the Aend). At the ft tage let' cnde the dect tat f geneat (n actce t n't ued) f dffeent value f dvng tque n geneat' haft, whch cend t the ecfc wnd eed when cnnectng the geneat t electc we netw. The tude ae cnducted by the yte f equatn (), whch ae ecded n the ae α, β, γ, fed n ace. n th ce a the achne wth quel cage t α, β, γ =, and tat vltage ae equal t,9 n,9 n n () ()

4 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe. Study tatng de f wnd tubne equed wth quel-cage nductn geneat y The flutgaa f change f geneat' eatng cndtn ae eented n Fg. : tatnal fequency f geneat' t (Fg.,a), electagnetc tque f geneat (Fg., b), and hae tat cuent f geneat α, β, γ (Fg. c, d, e). t een f the flutgaa, that at a value f dvng tque equal t, ("nu" gn ndcate a geneat de) the te f cnnectng f geneat t netw cnttute abut ad. ( t,7.), the value f tatng cuent α, β, γ each, f ultle value, whle the duatn nt le than ecnd. ( ad.). The value f dvng tque equal t tat, cend ughly t the wnd eed equal t V /. When cnnectng the geneat t netw n the eence f a dvng tque (wnd eed abut V 9, /), the chaacte f ce ean the ae a n Fg., but the duatn f cnnectn t netw and cendngly the duatn f tatng cuent educe by % and cnttute ( ad.). tat t natual, that the gnfcant aunt f tatng cuent affect negatvely n a netw vltage, f t dtanced f the the we uly unt and lghtly cenated ne (t ean the lac f eactve we uce). Theefe, th ethd f cnnectn f aynchnu geneat t netw n't ued n actce ω, Me.7. e 8..7 e, e 8 α, 8 а) b) γ c) d) e) Fgue. Fluctga f change n eatng aaete f nductn geneat f wnd tubne when dect n-lne tatng

5 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe f thee a fequency cnvete cnnected t the tat wndng f aynchnu geneat, whch ha a ht-ccuted t, the tat by undefequency elay caed ut. n th ce bth the altude and fequency f ulyng the geneat vltage huld be changed n the equatn (). Wth lnea change f altude and fequency, the equatn () by the ae een wll tae the f: u u u n n n f f f,9,9 () whee and. u u u Wth ultaneu lnea change f uand f, f f f and u the ntal value and ate f u f f e ae equal. t neceay t ay attentn t ne ccutance: wth a lnea change f fequency t ate f e n accdance wth [7] huld be cdnated wth the neta cntant f f yte and a value f dvng tque n the WPP' haft.. e. y.7 y.., Me Me 7.., а) b), c) d).9 u= f. Ku.8.7 Kf. 8.. Ku. Kf α e) f). β 8 Fgue. Fluctga f change f eatng aaete f the wnd tubne wth quel-cage nductn geneat n fequency tatng The flutgaa f eatng cndtn change f the ae geneat when a tat by undefequency elay accdng t the een,, 8 ae eented n Fg., u f heewth a dvng tque jut a wth dect tatu wa equal t, (wnd eed,8-

6 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe /). Rtatnal fequency f WPP (Fg.,a) vae actcally thly f t,, whch ndcate that a eed f fequency change, and tgethe wth t the altude f vltage f (Fg., f) ha been elected the tu ne [7]. The aveage value f electagnetc tque e (Fg., b) at the ntal ectn le than, (wth dect tatu, 7 e av. e (Fg., b)). And the t tant fact, that when the tat by undefequency elay the aveage cuent value α, β, γ n the tatng cndtn actcally wthn the whle tatu ed d nt eceed the value f, (Fg. c, d, e), and the duatn cnttute ad. Thu, when n n n the tat by undefequency elay wth a actcally cntant duatn f actn f tatng cuent the aveage value educe alt by %. And th allw aetng wth a hgh bablty that a vltage d n the electc we netw n the nt f WPP cnnectn wll al educe by %. V. Study tatng de f wnd tubne equed wth duble-fed nductn geneat u At the ecnd tage let' cnde the ue f tatu f WPP' aynchnu geneat, caed ut n the ba f duble fed achne. Daga f cnnectn t electc we netw hwn n Fg. [8]. Fgue : Gd cnnectn daga f wnd tubne wth duble fed nductn achne Hee: WD wnd t, GB geab, DFAM aynchnu geneat ade n the ba f duble fed aynchnu achne, the FC fequency cnvete ade n fully cntlled we tant (GBT tant); R nductve eact; T culng tanfe f cnnectn wth the we yte (t can be tw-wndng ne (ld lne) tle-wndng ne (dahed lne)). When tudy the ue f tat by undefequency elay f WPP wth thee geneat, t eedent t tun t the f f ecd f achne' dffeental equatn n thee-cdnate yte f cdnate α,, β, γ, tatng wth the t eed ω []. n th cae, the ft equatn f the yte () ae elaced by the fllwng 7 ne, the the ean unchanged:

7 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe Ψ n Ψ n Ψ n Ψ u n f () Ψ n u f Ψ u n f The et equatn () f yte: electagnetc tque, veent, cnnectn f the cuent wth flu lnage, at f detenatn f th cnnectn fact ean unchanged. One vaable added hee θ, the nte angle f achne,.e. the angle between a f thee-cdnate yte f tat' cdnate, vng wth the ynchnu eed and a f thee-cdnate yte f t' cdnate, vng wth a eed f achne' t Technlgy f tat by undefequency elay f duble fed achne f WPP, whch can cnt f tw tage, the fllwng []: at the ft tage n the eence f dvng tque n the haft f WPP the wndng f tat hted-ccuted, and the fequency cnvete, feedng the wndng f t f DFAM change lnealy the altude and fequency f vltage ulyng the vltage wndng. But becaue f the lted caacty f cnvete and t utut aaete, th change de nt eceed a value f % f the ttal achne' caacty. At the ecnd tage afte acceleatn f WPP' t unde the nfluence f dvng tque f WPP and tat by undefequency elay, when the t' eed eache % f the ynchnu ne, the t' wndng f geneat ht-ccuted, and the full lne vltage uled t the tat' wndng, whch cnnected dectly t electc we netw. n eachng the ynchnu eed the geneat t' wndng ce nt eatn, and WPP eate n a teady-tate de wth cnnectng the autatc cntl f WPP' tatnal fequency wth the hel f fequency cnvete a a functn f wnd eed value n a cetan ange f t vaatn. All f decbed abve ha been leented n the thee-cdnate atheatcal del f DFAM f WPP [], the eult f whch ae hwn n Fg.. A t ha been nted, at the ft tage the vltage f tat = = == (wndng ht-ccuted) and the t wndng fed f the fequency cnvete accdng t the lnea,, 8. The flutgaa f change f tatnal fequency f een u f t gven n Fg., а. n the ce f tat by undefequency elay f the t de n the eence f dvng tque f wnd t, (whch cend t wnd eed V /) n the ange f f t adan the tatnal fequency f WPP' t e t, 8, n th ce all eatng cndtn f geneat - the electagnetc tque e and cuent e f tat α, β, γ d nt eceed, f value n elatve unt. Afte -th adan the wndng f tat cnnected t the netw vltage, and wndng f DFAM' t ht-ccuted =. A dect tatu f aynchnu geneat ccu, but the acceleatn begn nt f ze, and wth the ntal t' eed equal t, 8. The te f tatu f th tage cnttute abut ad. (f ad. u t ad.), whle the aveage value f tatng electagnetc п. tque equal t,, tat cuent α (Fg., c), β (Fg., d) γ (Fg., e) each the value f e av.,8.

8 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe , Me Me а) b) e, γ.7.7 c) d),,8 β T T. T 8 T e) f), g) Fgue. Fluctga f change f eatng aaete f duble-fed nductn geneat f wnd tubne when fequency-dect n-lne tatng n de t cay ut a caatve analy f tat by undefequency elay cee f aynchnu geneat f WPP, ade wth the quel-cage t and wndng f t (DFAM) t need t tanfe the cuent eceved n atheatcal del f DFAM nt the yte f fed cdnate. By tval cnven let' detene, f eale, a cuent n the fed n ace yte f cdnate, t detened by the celatn [9]: Whee c c c () educed cuent f DFAM' tat alng the a α, fed n ace, α, β, γ cuent f DFAM' tat ecded n the ae tatng wth the t eed. θ angle between the a tatng wth the t eed and the a tatng wth ynchnu eed, and

9 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe fnally. angle between the fed n ace a and a tatng wth ynchnu eed Cuent n ne hae detened by the een () eented n Fg., f, (unflded flutgaa f th cuent hwn n Fg., g). A t een f the flutgaa the aveage tatng value f th cuent eache the value f, and t duatn equal t adan. ср Thu, cang the eult f tude f tat by undefequency elay de f fequency cntlled quel-cage aynchnu geneat f WPP,and fequency cntlled f the t de DFAM f WPP, t huld be nted, that n te f act n electc we netw, the tatng cuent f the ft geneat cnttute f the de f, elatve unt wth the te f the actn adan, and the tatng cuent f DFAM п cnttute f the de f, elatve unt wth the te f the actn adan. n the ft cae the ttal tatng te cnttute adan, and n the ecnd cae adan. Cnclun. The ethd f caatve analy f tat by undefequency elay f WPP, cntanng the fequency cntlled quel-cage aynchnu geneat, and WPP, cntanng the aynchnu geneat, ade n the ba f duble fed achne, the t wndng f whch uled f a fequency cnvete, ha been develed.. The t efeable tn ut f the nvetgated ne, n te f act n the electc we netw n the lace f WPP cnnectn, the ne wth the fequency cntlled geneat wth quel-cage t, tatng cuent f whch when the tat by undefequency elay alt te lwe than the tatng cuent when tatu f WPP wth DFAM, althugh t duatn. te lnge than the tatng cuent f DFAM. Hweve, the ttal te f utut t teady-tate de f WPP wth quel-cage aynchnu geneat, te le than f the geneat wth DFAM.. And fnally, the enegy eended f tatu ce n the ft cae % lwe than the ne eended f tatu f DFAM. Refeence п [] Wld Wnd Reuce Aeent Ret by the WWEA Techncal Cttee. Decebe, WWEA Techncal Pae See (TP--), Bnn, Geany. [] Elec Pwe Qualty Slutn. Wnd Enegy: Reactve Pwe Cenatn Syte. [] Mutafayev R., Haanva L. Matheatcal del f cntlled thee-hae aynchnu achne. Electcty,,. [] Kylv.P. Matheatcal delng f electcal achne. M. Hgh chl [] Dejan Schebe Hgh we cnvete f enewable we uce. Tanlatn f A.Klav. Pwe electnc,,. [] Guzeev B.V. Khayanv M.. Mden ndutal hgh-vltage fequency cnvete f cntl f aynchnu and ynchnu t. "Ol and Ga Bune" Electnc centfc junal,,. [7] Guzeev B.V. Khayanv M.. Mden ndutal hgh-vltage fequency cnvete f cntl f aynchnu and ynchnu t. "Ol and Ga Bune" Electnc centfc junal,,.

10 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe Aend te a) Paaete f WPP' geneat; etance n elatve unt: P n = W =,8 =,9 = 9 V =, =,99, р= σ=,89 =, J ttal =, g (WPP' t) σ=,87 ev. nн= n. 9 Pн M 9 ном N n b) Calculated and bac value f aaete hae=98 В Р, кw Р bac =, 8 B M, 7 фаз N hae = 9 A M bac= 97, А J, 7 фаз g c) Value f aaete n elatve unt * M J ном * общ,8 H J 97,, * М J J 97, н te. Algth f tudy n the thee-hae del f tat by undefequency elay f quelcage aynchnu achne wth a lnea change f altude and fequency f the tat' vltage. Altude f the hae vltage f tat wndng f all thee hae change accdng t the at:,, 8 u f. (,,8 ) n (,,8 ),8 (,,8 ) n,,8 ),9,8 (,,8 ) n,,8 ),9,8 D, Y,,78,78,,78,78,,78,78,,99( ) ( ), (,) Y whee Y ; Y ; Y ; Y ; Y ; Y ; Y. 7

11 Mutafayev R., Haanva L. STDY OF STARTNG DTY OF WND POWER PLANT RT&A, N () Vlue, Decebe 8,,9,98,98,9,9,9,9 8,,9,9 8,,98,98,9,98,98,9,9,98,88,88,98,9,98,98 7,8,88,88 7,8,98,9,88 7,8,98,88 The fact lnng the cuent wth flu lnage ae detened f the nvee at cntng the achne' aaete,.e. f the at f equatn ():,,7,7,,7,7,7,,7,7,,7,7,7,,7,7,,,7,7,,7,7,7,,7,7,,7,7,7,,7,7, te. Algth f tudy n the thee-hae atheatcal del f duble fed achne, the equatn f whch ae ecded n thee-hae cdnate yte,,, tatng wth a t eed f achne : ny,77 Y Y,8 7 n Y,99,77 Y Y,8 7 ny,99,77 Y Y,8 7 (,,8 ) n(,,8 ), D, Y (,,8 ) n,,8 ),9, (,,8 ) n,,8 ),9, Y7,,99 ( ) ( ), (,) 8