Deg f Three Phe Ate Pwer Flter wth lg Me trl Eergy Feek M. Nyerr, T. Nk Atrt Nler le l three he etwrk rete hr le. Ate e flter re e fr elt r ret f thee effet. Pe flter he e ltt. Fr exle, they re ege ly fr ef freey they y e t ree the etwrk t the t f lg. The ther rwk f e flter tht the ze f rere eleet re rlly lrge. The te flter re e f ltt f e flter fr exle; they elte re th e hr 't e ree the etwrk. I th er erter ly he ee e ltely three he the ee f the le he ee ere. A lg e trl e eergy feek f tr elye the eg wth th eth, the y ee f the flter re effetely hr l le etg kly. Atrt ht te flter, hr, erter, lg e trl, eergy feek. I. INTODTION ONNETION f ler l t the etwrk, e t er f rret ltge hr flly ree the wer le. By g rret re rllel wth the l, rere hr rret e re fr the ler l. ht te flter wth PWM erter re rlly e fr th re. A D tr e wth erter tht hrge wth t rllel e hw Fg.. I th er, r eft f Eletr wer re frt e el e -x ere fr wer et. I rer t tke the hrgg f tr y t- rllel e t t, three-he el f the etwrk ere. Al lg e erter wth eergy feek elye t trk referee rret wth ft y. II. DEFINITION OF EETI POWE There re r eft fr -l tret t, th te freey [, ]. The t rtt eft te freey Fryze Be reetely []. Te e trl lgrth re fter th freey th er we e te. V V Fg. ht te wer flter A. Freey D Deft f Eletr Pwer Fr the frt te the wer eft freey tre y Be. Th eft wrk tey tte e hr tt fr eh freey. M ltge: V t V T Where V the M le f -th hr ltge the et fr M rret l lr t e et. The ret wer, te rete wer efe : VI P V I ϕ Q V I ϕ I th eth, the rerl effet f hr re t ere fr lg f wer, the hr wer efe : D It w ler tht g f th eth fr te r e flter w t rrte ee the effet f ltge rret hr wth eh ther t ere.
B. Te D Deft f Eletr Pwer Fr the frt te the wer eft te tre y Fryze. The ret wer, te rete wer efe : VI P t t t VI w T Q P ete wer rt f tte wer whh e t trte t te wer. zrek re th eft y g the rete wer t fr fferet rt e ther hyl rg. Ate rete wer eft Frze e re the e. It t e ere tht Fryze eft, f the wer ftr el e l e, the the ltge rret wll e he the wer trt wll e tl. Hweer, t t rret -l e.. Deft f Eletr Pwer Three-Phe yte I gle-he yte, the tte wer el t rt f tte ltge rret. Al the te wer el t erge wer flly the rete wer el t the rt f the tte wer whh e t trte t te wer. The tte te three-he wer efe : t t t t t t t The erge f t P el t te wer whh trt fr re t l t erge wer el t lltry wer P ~ whh llte etwee re l t erge el t zer. The three he rete wer rt f eletr wer, whh e t trte t three he tte te wer. I ft, rete wer rlte etwee three he f yte. Fr llt f te rete wer et, t rere t e eh he rret t te rete et ze the grge ft f the. w ϕ μ 9 μ We rewrte e et :, Iω k Ge k ; K, The lt relt fr te rete three he rret wth l ltge wth lte el t -l rret wth t, r, th 7 th hr wth lte el t ere f hr rer, /, /, /7 reetely hw Fg.. The tte wer tw e wth wtht et hw Fg. [-]. he he w μ μ,, μ μ 6 Wth the trt f: Φ μ, μ, μ μ μ μ 7 Flly, we he: μ ϕ μ 8 μ he Fg. Phe ltge rret te et f rret ete
Fg. Itte l wer : w w w t D. Itte Pwer -Ax The ltge rret x e te fr x y lrk trfrt: Phe ltge x l e te y lr et. Itte wer el t.. P Al we he: { }.. ϕ ϕ We rewrte the e et :. Oe f the eeft f tht we ete the, lly. If we wt t ete,, ~ the: ~ 6 Wth ere lrk trfrt, we f referee rret fr te flter. 7 III. DEIGN OF ATIVE POWE FITE The three he te flter hw Fg. t tw rt:. Pwer rt PWM erter. trl rt rret re r ltge re erter e e wer rt. I th er, ltge re erter wth rret trl elye. g lt tr D e f erter, the zer eee f rret e ete. Al f the ltge re t yetrl, we f the fetl te eee ltge y g P the f the referee rret y et 6 7 []. The trl rt t exterl lg e trl l fr erter trl terl eergy feek l fr D ltge reglt []. A. Pwer rt PWM Ierter It rere tht the erter three he rret f f f,,, trk the referee rret,,, wth ft y ree. Oe f the erter leg hw Fg.. By lg the wth T, f etg rret egte f <, wll hrge f /t < f the rret te f >, wll hrge f /t >. Al By lg the wth T, f etg rret te f >, wll hrge f /t < f the rret egte f <, wll hrge f /t >. Tkg the ltge f tr three he rret tte rle, the effet f three he hrge hrge f tr e tke t t.,, re the trl rle f three he wthe. If trl rle el t -, the er wth f the reete he le. If t el t the lwer wth f the reete he, t. If the trl rle el t zer th wthe re e.
If V T T V V f f f If the er wth f he,. : Fg. Oe erter leg wth D e tr If ly e f the er wthe t, fr exle T, the we he: f t f If ll er wthe t: t f 8 If the lwer wth : Χ Χ Χ lr exre e wrtte fr ther he. Fr he f: f t f f t 9 A f: 6 A f ll lwer wthe t: t f f f t Nw exle, f the lwer wth f he. er wth f he. he. re, we he: f f, t f t tte rle re efe : A fr he f: A f: 7 8 If ll er wthe re : 9 A f ll lwer wthe re :
We rewrte ll f the e et the fr f et flly. B A Et re the geerl fr f et ere [] [] []. I referee [-] gle he rret ere the tte rle, the rete f trfrer eglete. If we er e f the he rret eglet the rete f trfrer, the we he : B. lg Me trl The lg rfe re el t the errr f tte rle, whh e exre : I the tte rle etr whh efe * the tte rle referee etr, ] [ re the lg rfe eg tt. 9 8 7 6 The th th l f the e trx etere y the wthe t. Th, te g fr te egte g fr egte hlf yle f A t ltge, whe ete t erter tr. By relg we he: 9 8 7 6 6 effet whh, f el t e, the tte feek [] f, el t tw, the eergy feek f tr e. Th wll elrte the ext et. trl t efe : e 7 I lg rfe g ft, whh fre the tte rle t lg rfe: [ ] g g g 8 e the trl t, whh fre the tte rle t the rg zer errr the lg rfe. I ft, trl wll fre the tte rle t trk ther reete referee. If we re t f lg rfe, wll e r - wth reet t lg rfe g. Th efe whh wth leg t e r ff. I th t e wll e zer ee we t reh lg rfe yet. Whe we reh the lg rfe, trller wll fre the errr t zer ttely. lg rfe tlty trt : t 9 O the ther h: e B B A B A Wth reet t e eft: A x B e The lft f : B
Fr 9,, 7, we wll he: t g g g g g g g g g If three l e-he lye re erfre, we t flly he []: It ler tht tfyg et e t eerly tfy, trt, le,, re elete lrge egh, whh wll ree the ee f y ree f le l yte. Th ehze the rte f three he ly whh ke t le t f ll,, eetly fter y ee ree hee. If et tfe, the tlty grtee. f three gle he ly re e, effet f,, t e he lrge t hee tlty. erg the lrty f frt ter wth r ter et, f we e the frt ter y g, we he: g g g g Bee the f tw tr ltge lwy te, the f we er t e hgh, the the e et wll e tfe the tlty wll e grtee.. The trl fr Vltge eglt f tr I et 6 f the trl l fr ltge reglt ft tte feek []. I th er, we et el t e tr eergy feek l t tlze the tr ltge e t te wer llt zer eee wer trt. The lk gr f trl yte hw Fg.. I th trl yte, the three he ltge rret wll e ere et wll e ere y lrk trfrt. The y llt f eletr wer, whh t e ete, the referee rret re llte. The referee rret the tte rle re the fe t the lg e trller. The ltge reglt l l ere the tr ltge re th le wth referee tr ltge. Th, the rere ze f eergy te fe t the lg e trller thrgh PI trller. A hgh flter wth tff freey el t HZ w e rllel wth the te flter, whh elte hgh freey hr rete y wthg. lg rfe trler I V V I g g g Fg. Blk gr f trller Ate Pwer Flter IV. IMATION ET lt relt re hw Fg. 6 t Fg.. The lt reter re el t:.h, μf V.,.,. 6 7 8 9 The re rret THD el t 8.6% efre et fter et the re rret wll e l wth THD el t.. The re rret ltge l he. I Fg. 7, the lt relt fr tr ltge whh te y lg e trl wth eergy feek wth three he ly re wth the lt relt f etl trller wth gle-he ly. It ler tht y g eergy feek fr ltge trl threehe ly, the ltge reglt etter. The l rret, etg rret re rret hw Fg. 8 tret t. Fr gle-he ly, the re rret THD el t 7.9% efre et 7.7% fter et. I V V V
Fg. 6 rret, etg rret, re rret he ltge fter et Fg. Errr etwee referee rret te wer flter rret Fg. 9 rereet the tr ltge whe the three he te flter ete t gle-he rge retfer. Dy ree ltge reglt wll e etter re wth the ther eth. The errr etwee etg referee rret wth lg e trl eergy feek hw Fg.. The errr rhe zer eh wthg terl, ery ft. Fg. 7 tr ltge te wer flter Fg. 8 gle he retfer rret V. ONION I th er, t w hw tht etter erfre e hee, g three he ly te f three gle he ly, erg the rete f trfrer wth eergy feek fr ltge reglt. Al g fr-wre yte eth fr trl, we ete the llt f te wer zer eee wer three-he yte. Whe g three-he ly lg e trl, the tlty trt wll e lte. It e tht y g three lg rfe, the tlty trt wll e ller, whh e fter y ee ree e hee. Fg. 8 Three he rret f te wer flter EFEENE [] M. Aree, Ate Pwer e ter, Ph.D. The, Ittt fr Allgeee Elektrtehk, Tehl erty f Berl, 996. [] M.. Beh,. te, New trl Arh Fr Fr-Wre Ate Pwer Flter Be O The e f yhr efere Fre, Eletr Pwer yte eerh, l. 7,. -6,. [] N. Mrk, F. Fjeh, lg Me trl f A -Phe-ht Ate Pwer Flter, Pr. IIT,. 97-6,. [] J. Mret,. rz, A le lg Me trl f Ate Pwer Flter, r.f IEEE Pwer Eletr elt feree,. -6,. [] H. h-ye, W. Hrg-Y, A New gle-phe Ate Pwer Flter Wth ee Eergy trge tr, r. IEEE Pwer Eletr elt feree,. -8,9. Mj Nyerr w r 97. He reee h B.. egree eletr Eg. fr Gl erty M. egree Eletrl Eg. fr Efh erty f Tehlgy PhD egree Eletrl Eg. fr Trt Mre erty, Tehr, Ir. rretly, he Att Prfer wth the hrz erty f Tehlgy. H reerh teret le FAT ee, Pwer Qlty. Fg. 9 Vltge tr f te wer flter fr gle-he retfer l 6