CURRENT CONTROLLERS DESIGN USING NASLIN POLYNOMIAL METHOD FOR ACTIVE POWER FILTERS

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1 CURRENT CONTROLLERS DESIGN USING NASLIN POLYNOMIAL METHOD FOR ACTIVE POWER FILTERS ANA-MARIA DUMITRESCU, GIOVANNI GRIVA, RADU BOJOI, VALERIU BOSTAN, RĂZVAN MĂGUREANU Key word: Atve flter, Hrmon, Power qulty, Indutrl lton, Rel tme roeng, Reonnt ontroller Low ower ftor nd nreed urrent hrmon ontent re ome of the negtve effet of tt ower onverter uge. To orret thee ddvntge, tve ower flter wth omlex urrent ontrol heme n be ued. Th er rooe n new method for tunng the reonnt ontroller lo nown Proortonl Snuodl- Sgnl-Integrtor (P-SSI) ontroller, bed on Nln Polynoml Theory.. INTRODUCTION Atve Prllel Flter (APF) re very good oluton [,] for low-tomedum ower lton beue they gve the oblty of omentng unblned lod nd retve urrent. In Fg., b APF heme [] hown, ued to omente the negtve effet of nonlner lod, hvng front-end retfer the nut tge. The requrement for the urrent ontrol loo of the APF m t obtnng nuodl mn urrent. Ahevng zero tedy-tte urrent error dffult t beue the referene not nuodl nd the lod urrent hve ft vrton. Some of the mot romng urrent ontrol heme re bed on reonnt ontroller [-4], whh ue et of Proortonl Snuodl-Sgnl- Integrtor (P-SSI) ontroller tuned on dfferent hrmon. The ue of thee ontroller bed on the eletve omenton rnle. In Fg., blo dgrm of uh ontroller [] hown. Th ontroller ue the followng onfgurton: Unverty POLITEHNICA of Buhret, Slul Indeendente, Buhret, Romn, Tel/Fx: 4/()-4.9.4, E-ml: nmry.dumtreu@gml.om POLITECNICO d Torno, C.o Du degl Abruzz, 4, 9, Torno, Itly, Tel: 9/() Fx: 9/() , E-ml: govnn.grv@olto.t Rev. Roum. S. Tehn. Életrotehn. et Énerg., 54,,. 5 4, Buret, 9

2 An-Mr Dumtreu et l. for the fundmentl omonent, one P-SSI ontroller tuned on the fundmentl frequeny th ontroller mlemented n the ttonry referene frme for the hrmon omonent, everl SSI ontroller tuned on,,,, thee ontroller re mlemented n the rottng referene frme lgned wth the mn voltge vetor. In th referene frme, the hrmon omonent wth order () nd ( ) re trnformed n otve equene nd negtve equene gnl t the frequeny, reetvely [], thu they n be ontrolled by ngle SSI ontroller. Fg. B urrent hrmon omenton heme ung n APF.. NASLIN POLYNOMIALS USED FOR TUNING P-SSI CONTROLLERS Degnng the gn for the roortonl ontroller nd for eh SSI ontroller not trghtforwrd t, ne the order of the omlete regultor n be qute hgh, deendng on the number of SSI ontroller ued. A method for the degn roedure h drwn muh ttenton n the lterture [5-8], whh bed on the ue of the Nln olynoml. In th eton, ome oble lton of th method re derbed nd new degn method bed on ueroton effet rooed.

3 Current ontroller degn ung Nln olynoml method for APF 7 Fg. Blo dgrm of urrent ontrol loo. Method rnle. Frt, the globl trnfer funton for the ontrolled ytem wrtten [9]. The hrtert olynoml of th funton, exreed n non form wll be: P() n n n- n-. The oeffent of th olynoml, tht ontn the ontroller ontnt, re ued to defne the globl tme ontnt / nd the hrtert rto: /( - ), ", < < n [, 7]. The rto nd the oeffent of the hrtert olynoml re lulted tng nto ount the requred dynm erformne. From thee quntte, the ontroller ontnt n be determned. Conderng the eond order hrtert olynoml referene, the formul for the hrtert rto 4ξ, where ξ the dmng ftor. A exmle, dmng ftor ξ, gve rto 4, nd ξ.7, gve rto [9, ]. Uully ll the hrtert rto re hoen to be. Frt Order Controller Degn: From the ontroller hown n Fg we onder only the frt two gn: (for the roortonl rt) nd (for the SSI rt tuned on the fundmentl frequeny). From now on, th truture wll be lled "frt order reonnt ontroller". Conderng the ontroller trnfer funton R() nd the lod trnfer funton P() wth the followng exreon: R () b (), P(),

4 An-Mr Dumtreu et l. 4 8 the globl trnfer funton wll be: () ( ) ( ) ( ). b b G () The thrd order hrtert olynoml of Eq., exreed n Nln form: (). N () Mthng the oeffent for () nd () gve:. b (4) Hgher order ontroller degn ung globl method. The me roedure n be led for hgher order P-SSI ontroller whh ontn ontnt for the roortonl rt ( ), for the SSI rt tuned on the fundmentl frequeny ( ), nd for one or more SSI rt tuned on hgher order frequene ( for, for nd o on). For exmle, thrd order ontroller, (whh h worng wth,, nd ), mde of frt order ontroller nd two SSI ontroller tuned on hgher frequene. For th heme, the ontroller ontnt n be obtned ung the me roedure for the frt order ontroller, yeldng the followng exreon: ( ) ( ) b (5) where the followng notton hve been ued: ()

5 5 Current ontroller degn ung Nln olynoml method for APF 9 5 (7). 7 Hgher order ontroller degn method bed on ueroton effet. The omutton requred for the hgher order ontroller degn n be qute hevy nd for order hgher thn they re lmot moble. Bed on the eletvty of reonnt ontroller, ueroton method degn for hgher order ontroller rooed. The oeffent n be omuted ertely for every frequeny wth the formul of the frt order ontroller (Eq.4) nd then the roortonl rt re dded together. Th method h been ued to omute the oeffent for the fourth order ontroller (mde of the frt order ontroller nd the SSI ontroller tuned on,, 8 ), onderng the lod model wth, b. nd. The obtned vlue re hown n Tble. The ontnt nd b of the lod model hve been obtned ung the equvlent retne nd ndutne of the exermentl rototye, onderng the rmeter of the oure nd the rmeter of the flter.. SIMULATION RESULTS The ueroton method h been verfed n multon. The rmeter of the APF model re the me thoe reorted n the Exermentl Reult eton. For the urrent loo, fourth order P-SSI ontroller (Fg. ) h been ued. The P-SSI ontroller ontnt hown n Tble hve been ued. Some b reult re hown n Fg. nd 4. Fg. APF urrent [A] n ttonry frme (referene nd meured): x.

6 An-Mr Dumtreu et l. Fg. 4 Mn urrent (he A) [A]. Tble Vlue of ontroller oeffent Coeffent 8 Globl method Sueroton method The urrent ontrol h good erformne, hown by Fg.. The mn urrent, hown n Fg. 4, lmot nuodl nd t THD round.5%. 4. EXPERIMENTAL RESULTS The ontrol heme h been teted exermentlly on 5 VA APF rototye (Fg. 5) wth the nverter IGBT wthng t Hz. Fg. 5 Sheme of the 5 VA APF rototye.

7 7 Current ontroller degn ung Nln olynoml method for APF The DC-ln referene voltge of the nverter h been et t 7 V. The nverter nterfe ndutne, L F, nd the nut lod ndutne, L L, re equl to 5 µh. The totl etmted mn ndutne, L S bout µh. The whole APF ontrol heme h been mlemented ung the dspace DS develoment bord. The quntte meured from the ytem re: the lod urrent, the APF urrent, the PCC lne-to-lne voltge nd the APF DC-ln voltge. ) b) Fg. Olooe nhot of oure urrent (uer tre t le of A/dv on ordnte nd m/dv on b) nd t hrmon ontent (lower tre t le of A/dv on ordnte nd.hz on b) on tdy-tte regme: ) wthout hrmon omenton b) wth hrmon omenton.

8 An-Mr Dumtreu et l. 8 Fg. 7 Olooe nhot of the trnent reone for one mn urrent (uer tre) nd one APF urrent (lower tre) both t le of A/dv on ordnte nd m/dv on b. The urrent ontrol, mlementng the heme hown n Fg., reeve nut the APF referene nd the meured urrent n ttonry (,β) referene frme, well the oton ϑ of the PCC voltge vetor omuted by men of Phe Loed Loo heme. The ontrol heme ue n outer voltge loo to regulte the APF DC ln voltge t the dered vlue. In Fg. nd 7 there re reented meurement mde wth from the ytem nd ved from the ollooe. The vlue nd the le of the grf (unt er qudrnt) re reented n the boxe from the left rt of the fgure. 5. CONCLUSIONS The uroe of n tve flter to redue the hrmon ontent on the mn urrent ued by nonlner lod, often to nree the ower ftor nd obtnng nuodl urrent n he wth the mn voltge. Conequently, the requrement for the urrent ontrol loo of tve flter re very trt. Comlex

9 9 Current ontroller degn ung Nln olynoml method for APF urrent ontrol truture wth reonnt ontroller re very romng to obtn good erformne n uh hllengng requrement. Tunng the rmeter of reonnt ontroller not trghtforwrd t. In th er method for tunng P-SSI ontroller, bed on Nln olynoml h been evluted. The obtned multon nd exermentl reult vldte t effetvene. The tedy tte behvor obtned exermentlly very good, the THD of the mn urrent round. %. The trnent reone qute low o the SSI ontnt for the fundmentl frequeny ontroller hould be nreed f fter reone needed, eeng nto ount tht, wth SSI ontroller, fter reone oted wth lower eletvty. The evluted tunng method deendent on hrdwre rmeter of the APF, whh n be ffeted by detunng nd meurement error. Thu, the degn method hould be ued to rovde n order of the oeffent, rnge n wth thee hould be led. The method, nywy, good trtng ont n the degn of tve flter ontrol. Reeved on Arl 5, 8 REFERENCES. M. El-Hbrou, M. K. Drwh, P. Meth, Atve Power Flter: A Revew, IEE Proeedng, 47, 5,.7-,.. X. Yun, W. Mer, H. Stemmler, J. Allmelng, Sttonry-Frme Generlzed Integrtor for Current Control of Atve Power Flter Wth Zero Stedy-Stte Error for Current Hrmon of Conern Under Unblned nd Dtorted Oertng Condton, IEEE Trnton on Indutry Alton, 8,,. 5-5,.. R. Bojo, G. Grv, V. Botn, M. Guerrero, F. Frn, F. Profumo, Current Control Strtegy for Power Condtoner Ung Snuodl Sgnl Integrtor n Synhronou Referene Frme, IEEE Trnton on Power Eletron,,.4-4, L. Amnoe, C. Lu, F. Blbjerg, I. Bolde, New Current Control Struture for Shunt Atve Power Flter, Conf. Re. IEEE IAS, D.-K. Km, H.-S. Km, Advned Pole Plement Methodology for Non Overhootng Condton, Conf.Re.7th Kore-Ru Interntonl Symoum, KORUS, Y. C. Km, L. H. Keel, S. P. Bhtthryy, Trnent Reone Control v Chrtert Rto Agnment, IEEE Trnton on Automt Control, 48,,. 8-44,. 7. D.-K. Km, H.-S. Km, W. H. Cho, A New Degn Method for Trnent Reone Control Conf. Re. SICE, Augut, Fuu Unverty, Jn, A. Dell Aqul, M. Mrnell, V. G. Monool, A. Le, Otmzed Reonnt Control for Shunt Atve Power Flter, Conf.Re.EPE-PEMC, Portoroz, Sloven, M. Kzmerow, R. Krhnn, F. Blbjerg, J. Irwn, Control n Power Eletron, Adem Pre,.. H. Ag, New Trend n Atve Flter for Power Condtonng, IEEE Trnton on Indutry Alton,,,.-, 99.. R. Bojo, G. Grv, F. Profumo, M. Ceno, L. Ntle, Shunt Atve Power Flter Imlementton for Induton Hetng Alton, Conf. Re. IEEE APEC, 5, Vol., S. Buo, L. Mlen, P. Mttvell, Comron of Current Control Tehnque for Atve Flter Alton, IEEE Trnton on Indutrl Eletron, 45, 5,.7-79, 998.

10 4 An-Mr Dumtreu et l.