Double fed asynchronous generator connected to an unbalanced electric grid

Transcription

1 6th WSEAS Intentonl onfeence on IRUITS, SYSTES, EETRONIS,ONTRO & SIGNA PROESSING, o, Egypt, Dec 9-, 7 7 Double fe ynchonou geneto connecte to n unblnce electc g Sou hebb [], Kmel Djem [], Oub []. Deptment of electcl engnee Ecole Supéeue e Scence et Technque e Tun 5, Avenue Th Huen Tun 8, B.P 56 Tune. Abtct: In th ppe, one popoe to tuy the ptblty of oubly fe ynchonou geneto (DFAG wth n unblnce electcl upply netwok. One unetn by mblnce n nequlty of the moule of the voltge ytem of the netwok, n mblnce of the phe o fequency of the electcl upply netwok. The tue ytem cont of oubly fe ynchonou geneto connecte to netwok unblnce v chn of contolle convete, conte of ectfe n n convete ll two oee n Pule Wh oulton PW. We ce out n nulton of the DFAG well convete e mchne ( by cton on the fel of vton of the tenon of the contnuou bu. onequently, the fluctuton of the ltte, n the event of mblnce, emn n toleble mgn by the equement of the DFAG. Key wo: Unblnce, ymmetcl component oubly fe ynchonou geneto (DFAG, tnfom of Pk, tnfom of Fotecue, ytem ect, oppote n homopol, efeence mk of onco, fuzzy contolle, fuzzy ule, convete e mchne, convete e netwok R, contnuou bu, Pule Wh oulton PW, chn of conveon, etmte. I- oel of the oubly fe ynchonou geneto The oubly fe ynchonou geneto (DFAG connecte to n unblnce netwok v cce of convete ( n (R connecte by contnuou bu [5]. φ q θ v q [ R ] q [ I] φ q φ q θ v q [ R ] q [ I] φ (. q The electomgnetc couple expee ccong to the tto ze: p( (. em q q Stto n oto fluxe e govene by the followng equton: Fg..: Synoptc gm of the tue ytem. v R + ω q (. q v q R q ω (.4 v R + ω q (.5 q vq Rq ω (.6 The equton of tto n oto flux e:

2 6th WSEAS Intentonl onfeence on IRUITS, SYSTES, EETRONIS,ONTRO & SIGNA PROESSING, o, Egypt, Dec 9-, 7 8 If the ttoque q x flux zeo ( q we obtn: q q (.7 Fg..: Vectol gm, oentton of tto flow. The tto ect cuent gven by : (.8 Thu the (,q x component of the oto flux wll be : ( q q + q σ + σ σ : Sctte coeffcent between the (, q wnng : σ q (.9 (. Thu, the expeon of the tto n oto voltge wll be: R q R v + (. v q R q + ω (. v R + σ + ωσq (. q vq Rq + σ + ω + ωσ (.4 The vton of the oto cuent e gven by: E E ω (.8 ω σ (.9 q The toque expeon : em p q (. The etmte of the tto flux of x gven by: et ( Tv + + T Wth: (. + ; (. T R We wll etblh n lgothm llowng contollng the DFAG by mnmzton of the loe by Joule effect. We wte then: [ R ( + + R ( ] (. P j q + q ette elton peut éce ou l fome : P F, φ + F (, φ j ( q (.4 Avec : R F (, φ ( R + R R F ( q, φ ( R + R q + e mnmum e cette punce et onné p l vleu u count : R (.5 R + R Et n, on peut clcule l vleu e éféence à mpoe pou l componte ecte u count oto : R éf éf (.6 R + R q ( v σ R E ( vq Rq Eq E σ (.5 (.6 One note by: E ω σ q + (.7

3 6th WSEAS Intentonl onfeence on IRUITS, SYSTES, EETRONIS,ONTRO & SIGNA PROESSING, o, Egypt, Dec 9-, Fg..: evoluton of the oto cuent Fg.4: evoluton of the ttoc flux. II- Fuzzy contolle In oe to contol the oto cuent of the geneto on the one hn n to mntn the fluctuton of the tenon unk contnuou n n cceptble mgn on the othe hn, we ue n ou tuy two fuzzy egulto []. One clculte the eo of the cuent of xe (, q, ( ef n ( q ef q n vton of the eo ( n ( q q. onequently, one wll evlute by the fuzzy egulto [9] the cuent of contol c n qc, fgue., n oe to ech the vlue of efeence et q éf. Even poceue une tken fo the q x cuent. éf We epeente on fgue the. functon of membehp well the egee of membehp of the nput n output vble of the fuzzy contolle. We ncte by: N: Negtve lge, Nm: Negtve en, NS: Negtve Smll, Z: Zeo, P: Potve lge, P: Potve en, PS: Potve Smll Degee of membehp N N NS Z PS P P eeu Degee of membehp Degee of membehp N N NS Z PS P P v(eeu u u u u4 u5 u6 u Ic Fg..: embehp functon of the fuzzy vble. Ech vble tete by the fuzzy contolle, the eo ε, the vton of the eo ε n the contol vecto c, h even functon of membehp. It followe fom thee then, foty-nne fuzzy ule to tet, fgue.. Fg..: Obeve fuzzy ule. Fgue.4 hghlght the coect cton of the fuzzy contolle on the contnuou bu voltge lke on the oto cuent econttute n the tto efeence fme. ε ef ε o Fuzzy logc contolle c Fg..: Genel gm of the fuzzy contolle. - ε : Eo, ε : Vton of the eo Fg..4: Tempol evoluton of the oto cuent n contnuou bu voltge V Buc

4 6th WSEAS Intentonl onfeence on IRUITS, SYSTES, EETRONIS,ONTRO & SIGNA PROESSING, o, Egypt, Dec 9-, 7 II- flteng oule of the contnuou bu voltge The voltge V e elvee by the convete mut be fltee befoe beng tete by the fuzzy contolle. Inee, mblnce ffectng the netwok houl not n no ce to be peceve by the contnuou bu. Fgue. llutte the moule of opte flteng. Fg..: Flteng moul of the contnuou bu voltge. The moule of flteng govene by the moel of tte (.. I I m (Re, e V V R I m e c e m FI ( m, Vc, t e V e V bucc Fuzzy contolle V c ( I m I GI ( m, Vc, t (. The ytem of equton (. wtten n the fom of the equton of tte (.. I R R R The cuent I clculte ccong to the cuent output on the netwok, the voltge V e pove by the convete. We pply the metho of Runge Kutt of oe 4 to clculte I m n V c. k + δ t Im( k + δt( H + H + H H (. 6 m ( + 4 I Vc ( k + δ t Vc ( k + δt( (.4 6 Wth : H F( I, V, t ; G( I, V, t m c m c IV- oel of the convete (R wth unblnce ytem We took ccount of mblnce t the tme of the moellng of the convete R n th by the ecompoton of the unblnce voltge ytem n t Fotecue component. omponent of the ect vecto voltge n oppote pove by the convete R, n the efeence fme (α, β, [8] [] e fomulte n tble 4. pe pplcton of the elton 4. n 4.. V V V V β j V (4. α ; V β j V (4. α V ; X (. AX + BU Wth: I m I X ; U V c Ve A R e e e ; B e

5 6th WSEAS Intentonl onfeence on IRUITS, SYSTES, EETRONIS,ONTRO & SIGNA PROESSING, o, Egypt, Dec 9-, 7 Dect ytem Invee Sytem K K K V α V β V α V β U j U j U U U U j U j U The component on the ect x of the V α note V α pove by the convete R to the netwok evolve ncte t fgue 4.4 []. U j U U j U U U U j j U U U j U U j Fg.4.4: Vα voltge n the ce of n unblnce ytem moule. The flow cht of fgue 4.5 ummze the U j U U j U numecl poceue of clculton evelope ung multon [6]. Tb.4.: Dtbuton of the component of the ect n oppote voltge n the efeence fme (α β. We tue the ce of n mblnce n moule of the electcl upply netwok voltge. Fgue 4. epeent the evoluton of the contnuou bu voltge n bence of fuzzy contolle well the voltge yntheze by the convete R. The contnuou bu voltge fluctutng n moule n fequency. 4 V-oncluon The ptton of oubly fe ynchonou geneto wth n unblnce electcl upply netwok eque logcl poceue of convete contol. We gnte cptl nteet to the opetng moe of the geneto whch oe not hve, to n no ce of efect, to ee mblnce ffectng the netwok. Wht let foeee phycl nulton of the geneto n convete by the upevon of the contnuou voltge bu Fg. 4.: The unblnce netwok voltge. Fgue 4. llutte the evoluton of the homopole component of the unblnce netwok voltge ytem. VI- Bblogphy [] R. Bue, F. bque et G. Ségue, «e conveteu e l électonque e punce» Volume, e éton, 997. [] G. Gellet, G. lec, «Actonneu électque : pncpe moèle et commne», collecton électotechnque, Eton Eyolle, P. [] H. Song, K. Nm, Dul uent ontol Scheme fo PW onvete une Unblnce Input Voltge onton, IEEE Tn. on Inutl Electonc, Vol.46, No. 5, 999. [4] Roye D., oélton, ontôle vectoel et DT, Heme,, ISBN Fg. 4.: The homopol component n moe unblnce. [5] Htz mblong, mnmton e l mpct e petubton ogne éolenne n l

6 6th WSEAS Intentonl onfeence on IRUITS, SYSTES, EETRONIS,ONTRO & SIGNA PROESSING, o, Egypt, Dec 9-, 7 généton électcté p e éogénéteu à vtee vble, Thèe à l unveté u Hve. [6] Ionel Vechu, moélton et nlye e l ntégton e énege enouvelble n un éeu utonome Thèe à l Unveté u Hve 5. [7] Slm El Aymn, Buno Fnço et Benoît Robyn, «oellng Of Vble Spee Wn Geneto Jontly onnecte To ontnuou Bu» FIER, oc. [8]. Fotecue, «etho of Symmetcl oonte Apple to the Soluton of Polyphe Netwok», A.I.E.E. Tncton, V.7 Pt II, pp.7-4, 98. [9] H. Bühle, Réglge p l logque floue, PPR 994. [] R. Bue, F. bque et G. Ségue, «e onveteu e l Electonque e Punce» Volume, ème éton, 997. Fg.4.5 : Smulton flow cht.