Published in: Proceedings of 43rd Annual Conference of the IEEE Industrial Electronics Society, IECON 2017

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1 Alog Unetet Modelng nd ontol o -lteed gd-ted nete wth wde ndutne ton Xe hun; K; Zhng ng; Zou JnXo; ueeo Joep M. Pulhed n: Poeedng o 43d Annul oneene o the IEEE Indutl Eleton Soety IEON 7 DOI lnk to pulton o Pulhe:.9/IEON.7.86 Pulton dte: 7 Douent Veon Ely eon lo known pe-pnt nk to pulton o Alog Unety tton o pulhed eon APA: Xe. K. Zhng. Zou J. & ueeo J. M. 7. Modelng nd ontol o -lteed gd-ted nete wth wde ndutne ton. In Poeedng o 43d Annul oneene o the IEEE Indutl Eleton Soety IEON 7 pp IEEE Pe. DOI:.9/IEON.7.86 enel ght opyght nd ol ght o the pulton de ele n the pul potl e etned y the utho nd/o othe opyght owne nd t ondton o eng pulton tht ue eogne nd de y the legl equeent oted wth thee ght.? Ue y downlod nd pnt one opy o ny pulton o the pul potl o the pupoe o pte tudy o eeh.? You y not uthe dtute the tel o ue t o ny pot-kng tty o oel gn? You y eely dtute the UR dentyng the pulton n the pul potl? ke down poly I you elee tht th douent ehe opyght plee ontt u t n@u.u.dk podng detl nd we wll eoe e to the wok edtely nd netgte you l. Downloded o n.u.dk on: eptee 4 8

2 Modelng nd ontol o -lteed d-ed Inete wth Wde Indutne Vton hun Xe K ng Zhng nd JnXo Zou Shool o Autoton Engneeng UES hengdu Shun 673 hn El: {.xe hnggng jxou}@uet.edu.n utolk@gl.o Att Beue o the low powe loe nd odete ot the gnet powde oe e popul n podung the lteng nduto o the hgh eent nd ot-eete powe onete. Howee the ot gnet popety o the powde oe led to the wde ton o ndutne long wth the hngng o the nduto uent n one yle o the gd whh hllenge the yte tlty nd powe qulty. In th ppe the uentdependent ll-gnl odel o thee-phe -lteed nete deed o degnng the oepondng ontolle. Bed on the deeloped ll-gnl odel pto uent eedk ed te dpng loop nd tonl ode epette ontol ed opound uent ontol loop e degned to tle the yte nd enhne the ontol uy n tedy-tte epetely. he ontolle degn poedue gen n detl. Fnlly ll-dgtl ulton h een onduted on 3.7 kva nete yte to ey the theoetl expetton. Keywod lte; te dpng; nduto nonlnety; gnet peelty; tonl ode epette ontol. I. INRODUION Den y the eono nd enonentl ue dtuted powe geneton yte DPS ed on enewle oue uh wnd photoolt et. e tttng oe nd oe ttenton[] []. A n ntee etween DPS nd the powe gd the gd-onneted nete ply tl ole n onetng the geneted powe nto hgh qulty powe nd njetng t nto the gd. he jo onen o n nete degn nlude oponent eleton ontol hee eletognet nteeene et. In ode to edue the hon o the nete output uent output lte e oten equed. he -type lte nengly dopted due to t ette ttenuton o the wthng hon nd uh edued ndutne equeent. Howee the -type lte ue o tlty ue ou te dpng ethod he een tuded to dde th ue uh onete de uent eedk[3] gd de uent eedk[4] pto uent eedk[5] nd oltge eedk[6] et. he eet o plng nd PWM tnpot dely on the eetene o te dpng ethod h een netgted n [7] thee dtnt egon o lte eonne he een dented. opentng the dely n te dpng loop n poe the yte outne whh n e heed y htng the pto uent plng ntnt towd the PWM eeene updte ntnt [8] o ung the led-lg opento[9]. he optl nge o te dely nd Joep M. ueeo Deptent o Enegy ehnology Alog Unety Alog 9 Denk El: jo@et.u.dk openton ethod wth ngle gd uent eedk to poe the yte peone h lo een eully tuded []. he nduto o the lte exht nonlne nd teyng htet whh opoe the tlty o the uent ontolled yte w exploed n []. he epette ontol nd eonnt ontol he een ued to poe the output uent qulty o the ngle -lteed gd nete unde 5% ndutne ton[]. A ngle phe hgh powe denty nete degned n [] y ung the gnet powde oe ed nduto wth wde ndutne ton nd the oepondng don-uton dgtl ontol w popoed n [3]. Neethele ll extng duon wee lted to the ple o lte. It eet on the gd-ted nete wth lte h not een dued. In th ppe thee-phe -lteed gd-ted nete yte wth oe thn 4% ndutne ton tuded. Ftly the uent-dependent ll-gnl odel o theephe -lteed nete deeloped. hen on the o the uent-dependent odel pto uent eedk ed te dpng loop nd tonl ode epette ontol ed opound uent ontol loop e degned. he et o the ppe ogned ollow: Seton II wll ely ntodue the yte to e tuded the nduto pete degn nd the thet odel deelopent. he yte ontol ttegy degn poedue gen n detl n Seton III. he weo e nlyed nd dued n Seton IV. Fnlly Seton V onlude the ppe. II. MODEIN OF INVERER WIH WIDE INDUANE VARIAION Fg. how the ut topology o -lteed theephe gd-onneted nete. nd denote the onete de nduto gd de nduto nd lte pto epetely. the d-de pto. R nd R e the equlent pt etne o the nduto. he equlent pt etne o Enegy Reoue N P R R Fg.. hee-phe nete onneted to the gd though -lte. g g g O

pto e eltely ll nd thu e negleted hee. gk k denote the gd oltge whh e eued o the pupoe o ynhonng the ontol. k nd k k e the nete-de nd gd-de uent epetely. he nonl lue o n ut pete e lted n le I. A.

3 pto e eltely ll nd thu e negleted hee. gk k denote the gd oltge whh e eued o the pupoe o ynhonng the ontol. k nd k k e the nete-de nd gd-de uent epetely. he nonl lue o n ut pete e lted n le I. A. Degn o Induto wth Mgnet Powde oe Sendut oe one knd o gnet powe oe well known o the odete ot nd lowe loe nd eltely hgh tuton leel whh ke t popul n degnng hgh eeny nd hgh powe denty onete. he endut oe ed nduto hoen n exple o tudyng. Fg. how the ue o peelty o endut oe wth deent ntl peelty. It n een een tht the oe wth hghe ntl peelty h lge dop unde the e gnetng oe. Oouly the ll ndutne tolene equed the oe wth ll ntl peelty hould e ued. Howee t wll led to g oe e nd weght nd oe tun. I lge ntl peelty oe eleted the e ndutne n e heed wth elte lle e nd weght nd le tun. he nonl lue o the nduto ued n th tudy et to H t 8 A. wo nduto e degned y ung two endut oe wth deent ntl peelty. he pete o the gnet powde oe nd degned nduto e llutted n le II. It n een een tht the wndng to o the two nduto e 7.4% nd 5% epetely whh ndte tht the nduto e hele. It lo n e een tht oth the e nd weght o the type one nduto oe e two te gge thn tht o type two nduto. he nduto tun n e edued y pplyng hghe ntl peelty oe. he lulted ndutne o the two degned nduto oepondng to nduto uent to A e depted n Fg. 3. Although the type two nduto h lle e nd weght the ndutne ABE I. NOMINA VAUE OF MAIN IRUI PARAMEERS Syol Quntty Vlue no onete de nduto H R no pt etne o.ω no d de nduto H R no pt etne o.ω o pto o -lte uf Fg.. ue o peelty eu D o deent endut oe[4]. ABE II. oe pete Induto pete HE PARAMEERS OF HE MANEI POWDER ORE AND DESINED INDUORS ype one ype two Intl Peelty 6μ 6μ Oute Dete Inne Dete Heght Weght. kg.34 kg Indutne to 68 nh/ 89 nh/ un 8 8 We e Wndng to 7.4% 5% Fg. 3. lulted ndutne o the two degned nduto eu the uent ton. yng wdely when nduto uent e o to ted lue. h y hllenge the degn o ontol ttegy. B. Modelng o the Inete wth Wde Indutne Vton Sne the ndutne dependent on nduto uent lue t expeed unton o uent ollow:. Negletng the pt eto o nduto the pto ued to e ontnt whle the nduto lue te nt the eged tte-pe odel o -lte n the -e n e otned ollowng y pplyng the tte-pe egng tehnque [5]. X AX BU whee X U A B e lted t the otto o next pge. Aung tht the ndutne e ontnt t ny tedy-tte opeton pont g g g whee the ll gnl odel n e otned y pplyng the ll-gnl lneton tehnque to. hen pplyng the ple tno to ll-gnl tte-pe odel the -don tne unton n e heed. the tne unton o nete output to the gd uent whh n e deed ollow:. 3

4 whee the eonne ngul equeny whh n e expeed. the tne unton o nete output to the pto uent n d-x hown. 4 Sne the ontol lgoth e pleented n dete te don. Eq. 3 nd 4 e tnoed nto -don eo ode hold ZOH tnoton ollow. ] o [ ] [ n ] o [ } { e Z 5 o n } { e Z 6 whee epeent the plng peod. III. ONRO SRAEY DESIN he ontol o the yte opoed o pto-uent eedk te dpng loop nd tonl ode epette ontolle ed opound uent ontol loop. A. Ate Dpng opento Fg. 4 how the lok dg o the pto-uent eedk te dpng loop wth led-lg opento whee - eleent epeent the oputton dely epeent led-lg opento. he open loop tne unton o the te dpng loop n expeed ollow: K d. 7 whee K d epeent the te dpng loop gn. he led-lg opento n e expeed.5. 8 Aodng to 7 two y o oot lo o the te dpng loop wth ndutne ton e dwn n Fg. 5. It n een een tht the oot lo o the te dpng loop wthout phe openton lot lwy outde the unt le thu t dult to tle the yte. By podng the led-lg opento to the te dpng loop the oot lo oe towd nde o the unt le the tlty n e poed. It lo n e een tht the oot lo e oe nde Fg. 4. Blok dg o pto-uent eedk te dpng loop wth led-lg opento. [ ] X [ ] g g g U A B. Ate dpng loop K d ' -

o the unt le when the uent ll nd the ndutne lge on ontt the oot lo oe ppohng to the unt le when uent lge nd the ndutne eoe ll. Fo ette dped the te dpng loop gn K d et to 5. e PI ' - Fg. 6.

he open loop nd loed loop tne unton n e deed : PI K d PI 9. Aodng to 9 n y o oot lo o nne PI ontol loop ondeng ndutne ton e dwn n Fg. 7. It n e een tht the oot lo e lwy nde the unt le o < K p <.

8 tht the hon ontol plty o the nne PI ontol loop ey lted due to the lge phe lg n the Bode plot o the loedloop. o poe the tedy-tte ontol peon o hon the tonl ode epette ontolle dded. Fg. 7.

5 o the unt le when the uent ll nd the ndutne lge on ontt the oot lo oe ppohng to the unt le when uent lge nd the ndutne eoe ll. Fo ette dped the te dpng loop gn K d et to 5. e PI ' - Fg. 6. Blok dg o nne PI ontol loop n -don. Fg. 5. Root lo o te dpng loop wth/wthtou led-lg openton. B. Inne PI ontol oop Fg. 6 how the lok dg o the nne PI ontol loop n -don. he open loop nd loed loop tne unton n e deed : PI K d PI 9. Aodng to 9 n y o oot lo o nne PI ontol loop ondeng ndutne ton e dwn n Fg. 7. It n e een tht the oot lo e lwy nde the unt le o < K p <. Fnlly the popotonl gn K p et to 5 to hee ooth gntude htet o loed-loop whh depted n Fg. 8. It lo n een een o Fg. 8 tht the hon ontol plty o the nne PI ontol loop ey lted due to the lge phe lg n the Bode plot o the loedloop. o poe the tedy-tte ontol peon o hon the tonl ode epette ontolle dded. Fg. 7. Root lo o nne PI ontol loop.. Extenl Ftonl Ode Repette ontol oop Fg. 9 how the lok dg o plug-n tonl ode epette ontol loop. he tne unton o the FOR n e expeed [6]: u Q H S. e N Q H whee N the ntegl pt o the to N N / wth eng the plng equeny nd eng the undentl equeny o the gd. S opento ont o pue ledng eleent nd Q - wth lowp lte PF to poe the outne o the yte[6]. N Fg. 8. Bode plot o open/loed tne unton o nne PI ontol loop. e e tonl ode epette ontol Q N H S u Fg. 9. Blok dg o plug-n tonl ode epette ontol loop.

H Q [ S ] <. 4 Aung Q[-S ] the gntude o H lwy no lge thn thu oe onete tlty ondton n e deed : <. 5 Fg. how the phe-equeny htet ue o /S nd S.

6 H gnge ntepolton polynol FIR lte whh n e expeed ollow: H n n k h k wth h k k k F. k whee n the ode o FIR lte F the tonl pt o the to N. Aodng to Fg. 9 the eo tne unton o the oell yte n e deed e I e N N H H Q [ S ] 3 he loed-loop FOR yte yptotlly tle the ollowng two ondton e held [6]. he oot o e nde the unt le. he ollowng nequlty equton hold. H Q [ S ] <. 4 Aung Q[-S ] the gntude o H lwy no lge thn thu oe onete tlty ondton n e deed : <. 5 Fg. how the phe-equeny htet ue o /S nd S. It n e een tht the phe lg o dely -5 gee well wth tht o thu S et to 5 to opente the dely o. Fg. llutte n y o Nyqut ue o wth wde ndutne ton. he Nyqut ue e ll nde the unt le thu the yte tlty ondton e lwy held. Fg.. Nyqut ue o wth wde ndutne ton. A. Stedy Stte Peone he nete h een teted unde the dtoted gd wth totl hon dtoton HD equl to 4.6%. A hown n Fg. wth only PI ontol the nete output uent dtoted wth HD equl to.5%. When FOR h een tted the HD o the nete output uent edued to.% hown n Fg. nd. he ton o ndutne o oth gd de nd uent de nduto e lo hown n Fg. nd. It n een een tht the ndutne e etween H nd 3. H long wth the hngng o nduto uent. IV. SIMUAION RESUS o ldte elty o the degned ontol ttegy o the thee-phe -lteed gd-ted nete hown n Fg. ulton h een ed out n MAAB/Sulnk eultng loe pole the dete eho o the DSP nd the nlog hdwe oponent o el etup. Fg.. Phe-equeny htet ue o /S nd S.

7 Fg.. Stedy-tte weo nd pet o nete output uent wth Only PI ontol nd tonl ode epette ontol. B. Dyn Repone Peone he dyn epone peone o the nete lo h een teted y hngng o the uent eeene n d-x oepondng to the te powe uent oponent. he tet eult hown n Fg. 3 whee o up to otto e eeene nd nete output uent n d-x nd q-x epetely. It n een een tht the dyn epone te out.5 whh nly ued y the FOR. V. ONUSIONS Applyng the hgh peelty gnet powe oe n otn oe opt lghte nd ot-eete nduto o nete. Howee t wll eult n wde ndutne ton. Ang to tly opete the -lteed gd-ted nete wth wde ndutne ton the ontol ttegy h een eully degned. Ftly the uent-dependent ll-gnl odel o the -lteed thee-phe nete wth ndutne ton deed. o tle the -lte pto uent eedk ed te dpng ethod dopted nd led-lg opento dded to enhne tlty gn. Menwhle tonl ode epette ontol h lo een ued to poe the hon ontol plty. Sulton eult ldte the elty nd eetene o popoed ontol ttegy. otoy expeentl eton wll e onduted n the utue. AKNOWEDEMEN h wok w uppoted n pt y the Shun Sene nd ehnology Suppot Pog No. 6Z7 nd No. 7Z5 nd n pt y Fundentl Reeh Fund o the entl Unete No. ZYX4J69 nd No. ZYX5J75. REFERENES [] J. M. ueeo P.. oh.-. ee nd M. hndok Adned ontol Ahtetue o Intellgent MogdPt II: Powe Qulty Enegy Stoge nd A/D Mogd IEEE n. Ind. Eleton. ol. 6 no. 4 pp Ap. 3. Fg. 3. Dyn weo o nete output uent dung the tep up o the uent eeene. [] D. u F. Deng nd Z. hen Fe-eel Ate-Neutl-Pont-lped D/D onete o Medu-Voltge D d IEEE n. Powe Eleton. ol. 3 no. 5 pp My 7. [3] M. ee A. Dell Aqul nd F. Bljeg Stlty poeent o n -lte ed thee-phe te ete n Powe Eleton Spelt oneene. pe. IEEE 33d Annul ol. 3 pp. 95. [4] J. Yn S. Dun nd B. u Stlty Anly o d-onneted Inete Wth Flte Adoptng Dgtl Sngle-oop ontolle Wth Inheent Dpng htet IEEE n. Ind. Ino. ol. 9 no. pp. 4 My 3. [5] E. wnng nd D.. Hole d uent egulton o thee-phe oltge oue nete wth n nput lte IEEE n. Powe Eleton. ol. 8 no. 3 pp My 3. [6] V. Blko nd V. Ku A noel ontol to tely dp eonne n nput lte o thee-phe oltge oue onete Ind. Appl. IEEE n. On ol. 33 no. pp [7] S.. Pke B. P. Mth nd D.. Hole Regon o te dpng ontol o lte n Enegy oneon onge nd Expoton EE IEEE pp [8] D. Pn X. Run. Bo W. nd X. Wng pto-uent- Feedk Ate Dpng Wth Redued oputton Dely o Ipong Routne o -ype d-onneted Inete IEEE n. Powe Eleton. ol. 9 no. 7 pp Jul. 4. [9]. hen J. Xong Z. Wn J. e nd K. Zhng e Dely openton Method Bed on Ae Equlene o Ate Dpng o -ype onete IEEE n. Powe Eleton. ol. PP no. 99 pp. 6. [] X. Wng F. Bljeg nd P. oh d-uent-feedk Ate Dpng o Reonne n d-onneted Voltge Soue onete IEEE n. Powe Eleton. ol. PP no. 99 pp. 5. [] R. A. Mtouo M. ee nd A. D. Aqul Study o the Eet o Induto Nonlne Beho on the Peone o uent ontolle o Sngle-Phe PV d onete IEEE n. Ind. Eleton. ol. 55 no. 5 pp My 8. [].-F. Wu H.-S. Nen.-. Shen nd.-m. hen A Sngle-Phe Inete Syte o PV Powe Injeton nd Ate Powe Flteng Wth Nonlne Induto ondeton IEEE n. Ind. Appl. ol. 4 no. 4 pp Jul. 5. [3].-F. Wu.-H. hng.-. n.-r. Yu nd Y.-R. hng A D-Σ Sg Dgtl ontol o hee-phe Inete to Ahee Ate nd Rete Powe Injeton IEEE n. Ind. Eleton. ol. 6 no. 8 pp Aug. 4. [4] Mgnet 5 Mgnet Powde oe tlog. [Onlne]. Alle: [5] E. wnng D.. Hole nd othe Modelng gd-onneted oltge oue nete opeton Po APE pp [6] Z.-X. Zou K. Zhou Z. Wng nd M. heng Fequeny-Adpte Ftonl-Ode Repette ontol o Shunt Ate Powe Flte IEEE n. Ind. Eleton. ol. 6 no. 3 pp M. 5. Vew pulton tt

E-Companion: Mathematical Proofs

E-Companion: Mathematical Proofs E-omnon: Mthemtcl Poo Poo o emm : Pt DS Sytem y denton o t ey to vey tht t ncee n wth d ncee n We dene } ] : [ { M whee / We let the ttegy et o ech etle n DS e ]} [ ] [ : { M w whee M lge otve nume oth