Design of sensor less induction motor based on MRAS using PI & FUZZY Controller

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Dorcas Poole
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ISSN N: 248-4845 Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Degn f en le nductn t baed n MAS ung PI & FUZZY Cntlle M.Skanth M.

ABSTACT: n de t ve the elablty and eed vaatn n nductn t, a eed en le vect cntl yte f nductn t baed n del efeence adatve yte degned.

1 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Degn f en le nductn t baed n MAS ung PI & FUZZY Cntlle M.Skanth M.Tech Student, Deatent f Electcal and Elctnc Engneeng, St.Matn Engneeng Cllege. ABSTACT: n de t ve the elablty and eed vaatn n nductn t, a eed en le vect cntl yte f nductn t baed n del efeence adatve yte degned.t educe the ct f en f eed eaueent f an nductn t and MAC MODE ued whch cnt f efeence del and an adatve del. Ft the dynac del f nductn del wa develed n the abtay efeence fae.wth the hel f ynchnu efeence fae del the ndect feld ented vect cntl, whch vey ula and cnvental ethd n eal leentatn wa develed. Thd del efeence adatve yte tuded a a tate etat. t flux etat chee aled t MAS algth t etate t eed. the t eed etated baed n dffeence between tw flux etat. the ed cntl ethd, ulatn, leentatn data, and the tet eult ae gven and hw the gd efance f the vect cntl yte n tue, eed butne. An adatn algth wth PI cntlle ued t tune the ed and t ake the e ze. and the eult ae caed wth fuzzy lgc cntlle. The IM can be eated dectly f the an, but vaable eed and ften bette enegy effcency ae acheved by ean f a feuency cnvete between the an and the t. A tycal feuency cnvete cnt f a ectfe, a vltage-tff DC lnk, and a ule-wdth dulated (PWM) nvete. The nvete cntlled ung a dgtal gnal ce (DSP). M.K.aa At. Pfe, Deatent f Electcal and Elctnc Engneeng, St.Matn Engneeng Cllege. The ajty f IM ae ued n cntant eed dve, but dung the lat decade the ntductn f new ecnduct devce ha ade vaable eed dve wth IM avalable. aable eed IM ae uually fed by en l feuency nvete. The t eed f the achne nt eaued and a change n lad tue wll eult n the eed t change. The cntl and eed enle etatn f IM dve a vat ubject. Tadtnally, the IM ha been ued wth cntant feuency uce and nally the uel-cage achne utlzed n any ndutal alcatn, f checal lant and wnd geneatn t lctve and electc vehcle. A tycal cntuctn f a uel cage IM llutated n Fgue 2.1. It an advantage ae the echancal and electcal lcty and uggedne, the lack f tatng cntact (buhe) and t caablty t duce tue ve the ente eed ange. Fgue 2.1: A cut-away vew f a uel cage IM Befe gng t analyze any t geneat t vey uch tant t btan the achne n te f t euvalent atheatcal euatn. Tadtnal e hae euvalent ccut ha been wdely ued n teady tate analy and degn f nductn t,but t nt aecated t edct the dynac efance f the t. lue N: 2(215), Iue N: 1 (Januay) Januay Page 16

2 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal The dynac cnde the ntantaneu effect f vayng vltage/cuent, tat feuency, and tue dtubance. The dynac del f the nductn t deved by ung a tw-hae t n dect and uadatue axe. Th aach deable becaue f the cncetual lcty btaned wth tw et f wndng, ne n the tat and the the n the t. The euvalence between the thee hae and tw hae achne del deved f le bevatn, and th aach utable f extendng t t del an n-hae achne by ean f a tw hae achne. The cncet f euvalence f f and we nvaance ntduced; the f and we ut be eual n the thee-hae achne and t euvalent twhae del. Devatn f electagnetc tue nvlvng the cuent and flux lnkage ae gven. The dffeental euatn decbng the nductn t ae nnlnea. F tablty and cntlle degn tude, t tant t lneaze the achne euatn aund a teady tate eatng nt t btan all gnal euatn. In adjutable eed dve, the achne nally cnttuted a eleent wthn a feedback l, and theefe t tanent behav ha t be taken nt cndeatn. The dynac efance f an ac achne ewhat clex becaue the thee hae t wndng ve wth eect t the thee hae tat wndng. An nductn t can be lked n a a tanfe wth a tatng ecnday, whee the culng ceffcent between the tat and t hae change cntnuuly wth the change f t tn θ. The achne del can be decbed by dffeental euatn wth te vayng utual nductance, but uch a del tend t be vey clex. Hence, t educe clexty t neceay t tanf the theehae achne nt euvalent tw-hae achne bede hgh efance dve cntl, uch a vect cntl, baed n the dynac d- del f the achne. Theefe, t undetand vect cntl ncle, a gd undetandng f d- del andaty. EFEENCE FAMES: The eued tanfatn n vltage, cuent, flux lnkage deved n a genealzed way. The efeence fae ae chen t be abtay and atcula cae, uch a tatnay, t and ynchnu efeence fae ae le ntance f the geneal cae..h. Pak, n the 192, ed a new they f electcal achne analy t eeent the achne n d del. He tanfed the tat vaable t a ynchnuly tatng efeence fae fxed n the t, whch called Pak tanfatn. He hwed that all the te vayng nductance that ccu due t an electc ccut n elatve tn and electc ccut wth vayng agnetc eluctance culd be elnated. In 19, H.C Stanley hwed that te vayng Inductance n the vltage euatn f an nductn achne due t electc ccut n elatve tn can be elnated by tanfng the t vaable t a tatnay efeence fae fxed n the tat. ate, G. Kn ed a tanfatn f bth tat and t vaable t a ynchnuly tatng efeence that ve wth the tatng agnetc feld. AXES TANSFOMATION: We knw that e hae euvalent ccut f the nductn t nly vald n teady tate cndtn. Nevethele, t den t hld gd whle dealng wth the tanent ene f the t. In tanent ene cndtn the vltage and cuent n thee hae ae nt n balance cndtn. It t uch dffcult t tudy the achne efance by analyzng the thee hae. In de t educe th clexty the tanfatn f axe f Φ t 2 Φ neceay. Anthe ean f tanfatn t analyze any achne f n nube f hae. Thu, an euvalent del adted unveally, that d del. Fg 2.1(a) -t 2-Tanfatn Cnde a yetcal thee-hae nductn achne wth tatnay a-b-c ax at 2/ angle aat.. Ou gal t tanf the thee-hae tatnay efeence fae (a-b-c) vaable nt tw-hae tatnay efeence fae (d-) vaable. lue N: 2(215), Iue N: 1 (Januay) Januay Page 17

3 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Aue that d- ae ented at angle a hwn n fg: 2.1(a). The vltage v d andv can be elved nt a-b- c cnent and can be eeented n atx f a, a b c c c( 12 ) c( 12 ) n 2.1 The cendng nvee elatn d C 2 Sn.5 v C( 12 ) Sn( 12 ).5 Hee ze-euence cnent, cnvenent t et that ax algned wth a-ax. Theefe gnng ze-euence cnent, t can be lfed a va vb vc va 1 d vb n( 12 ) n( 12 ) C( 12 ) Sn( 12 ).5 1 v c 1 1 d 1 a b c Agan, elvng the tatng fae aaete nt a tatnay fae, the elatn ae Cnttutvely e 2.7 and 2.8 ae knwn a Invee Pak Tanfatn. Dynac euatn f nductn achne Geneally, an IM can be decbed unuely n abtay tatng fae, tatnay efeence fae ynchnuly tatng fae. F tanent tude f adjutable eed dve, t uually e cnvenent t ulate an IM and t cnvete n a tatnay efeence fae. Meve, calculatn wth tatnay efeence fae ae le clex due t ze fae eed. F all gnal tablty analy abut e eatng cndtn, a ynchnuly tatng fae whch yeld teady value f teady-tate vltage and cuent unde balanced cndtn ued. Euatn 2. & 2.4 cntvely called a Clak Tanfatn. Fgue 2.1 (b) hw the ynchnuly tatng de-e axe, whch tate at ynchnu eed we wth eect t the d- axe and the angle. The tw-hae d- wndng ae tanfed nt the hythetcal wndng unted n the de-e axe. The vltage n the d- axe can be tanfed ( elved) nt the de-e fae a fllw: Fg 2.1(b) tatnay fae d- t ynchnuly tatng fae de-e tanfatn. Cnttutvely e 2.5 and 2.6 ae knwn a Pak Tanfatn.F cnvenence, the uect e ha been ded f nw n f the ynchnuly tatng fae aaete. Fg 2.2(a) Tw-hae euvalent daga f nductn t The tw-hae euvalent daga f thee-hae nductn t wth tat and t wndng efeed t d axe hwn n Fg 2.2(a). The wndng ae aced by 9 electcal and t wndng, at an angle θ f the tat d-ax. It aued that the d ax leadng the ax n clckwe dectn f tatn f the t. If the clckwe hae euence d, the tatng agnetc feld wll be evlvng at the angula eed f the uly feuency but cunte t the hae euence f the tat uly. Theefe the t ulled n the dectn f the tatng agnetc feld.e. cunte clckwe, n th cae. The cuent and vltage f the tat and t wndng ae aked n fgue 2.2(a). The nube f tun e hae n the tat and t eectvely ae T1 and T2. A a f le aued f th fgue. But t alcable wth lght dfcatn f any nube f a f le f t dawn n te f electcal degee. lue N: 2(215), Iue N: 1 (Januay) Januay Page 18

lue N: 2(215), Iue N: 1 (Januay) Januay 215 www.jet.

4 lue N: 2(215), Iue N: 1 (Januay) Januay Page 19 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Nte that the electcal t tn at any ntant, btaned by ultlyng the echancal t tn by a f le. The tenal vltage f the tat and t wndng can be exeed a the u f the vltage d n etance, and ate f change f flux lnkage, whch ae the duct f cuent and nductance. F the abve fgue the tenal vltage ae a fllw,.balanced t and tat wndng wth nudally dtbuted f.inductance n t tn nudal and v.satuatn and aaete change ae neglected Whee θ d/dt and d/dt Fgue 2.2 (b) Dynac de-e euvalent ccut f achne (a) e-ax ccut, (b) de-ax ccut Fgue 2.2(b) hw the de-e dynac del euvalent ccut f nductn t unde ynchnuly tatng efeence fae, f v vd and we then t bece tatnay efeence fae dynac del. d d d d d d d d

5 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal The dynac euatn f the nductn t n any efeence fae can be eeented by ung flux lnkage a vaable. Th nvlve the eductn f a nube f vaable n the dynac euatn. Even when the vltage and cuent ae dcntnuu the flux lnkage ae cntnuu. The tat and t flux lnkage n the tat efeence fae ae defned a Fgue 2.2(c) Flux and cuent vect n de-e fae The elect-echancal euatn f the nductn t dve gven by 2 dw Te T J d t 2.29 By ung the euatn f 2.21 t 2.29, the nductn t del develed n tat efeence fae. PINCIPE OF ECTO CONTO: lue N: 2(215), Iue N: 1 (Januay) Januay Page 2

ISSN N: 248-4845 Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Fg.9(a) Invete Swtchng Stage,(b) Swtchng vltage ace vect Fg.

6 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Fg.9(a) Invete Swtchng Stage,(b) Swtchng vltage ace vect Fg.5 Bac blck daga f vect cntl ect cntl leentatn ncle wth achne d- del a hwn The cntlle ake tw tage f nvee tanfatn, a hwn, that the cntl cuent and cend t the achne cuent d and, eectvely. In addtn, the unt vect aue cect algnent f d cuent wth the flux vect and eendcula t t, a hwn. It can be nted that the tanfatn and nvee tanfatn ncludng the nvete deally d nt ncate any dynac, and theefe, the ene t d and ntantaneu (neglectng cutatnal and alng delay. INETE: Pceng f the tue tatu utut and the flux tatu utut handled by the tal wtchng lgc. Fg.8 hw the cheatc daga f vltage uce nvete. The functn f the tal wtchng lgc t elect the aate tat vltage vect that wll atfy bth the tue tatu utut and the flux tatu utut. The achne vltage cendng t the wtchng tate can be calculated by ung the fllwng elatn. va b va vb vb c vb vc v c a vc va.11and achne hae vltage f a balanced yte ae va b vc a va vb c va b vb vc a vb c vc.12and and d axe vltage ae gven by v v d v a 1 ( ) v v v c b.1 The ttal nube f wtchng tate ble wth Sa, Sb and Sc eght and they ae elabated n table.1. Table.1 Swtchng tate f ble Sa, Sb and Sc. 1 cb Fg.8: Scheatc daga f vltage uce nvete In ealty, thee ae nly x nnze vltage vect and tw ze vltage vect a hwn n Fg.9(a) & (b). The lted tate f the nvete ceate dtnct dcete veent f the tat-vltage ha, cntng f the eultant f v and vd. lue N: 2(215), Iue N: 1 (Januay) Januay Page 21

ISSN N: 248-4845 Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal An alt cntnuu and unf flux ha feable wth thee dcete tate The del efeence

7 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal An alt cntnuu and unf flux ha feable wth thee dcete tate The del efeence adatve yte (MAS) ne f the aj aache f adatve cntl [6]. The del efeence adatve yte (MAS) ne f any ng technue elyed n adatve cntl. Ang vau tye f adatve yte cnfguatn, MAS tant nce t lead t elatvely eay- t-leent yte wth hgh eed f adatatn f a wde ange f alcatn. Fg.Blck Daga f Sen le Cntl f Inductn Mt The cheatc daga f cntl tategy f nductn t wth en le cntl hwn n Fg 4.1. Sen le cntl nductn t dve eentally ean vect cntl wthut any eed en [5, 17]. The nheent culng f t elnated by cntllng the t by vect cntl, lke n the cae f a a eaately excted t. The nvete vde wtchng ule f the cntl f the t. The flux and eed etat ae ued t etate the flux and eed eectvely. Thee gnal then caed wth efeence value and cntlled by ung the PI cntlle. I MODE EFEENCING ADAPTIE SYSTEM (MAS) : Taa [5] ha ed ne eed etatn technue baed n the Mdel efeence Adatve Syte (MAS) n Tw yea late, Schaude [6] eented an altenatve MAS chee whch le clex and e effectve. The MAS aach ue tw del. The del that de nt nvlve the uantty t be etated (the t eed, ω) cndeed a the efeence del. The del that ha the uantty t be etated nvlved cndeed a the adatve del ( adjutable del). The utut f the adatve del caed wth that f the efeence del, and the dffeence ued t dve a utable adatve echan whe utut the uantty t be etated (the t eed). The adatve echan huld be degned t aue the tablty f the cntl yte. A ucceful MAS degn can yeld the deed value wth le cutatnal e (eecally the t flux baed MAS) than an en l calculatn and ften le t leent. Fg 4.1 bac dentfcatn tuctue and the cendence wth MAS. ECTO CONTO OF INDUCTION MOTO: The ect Cntl Feld entatn cntl f nductn t ulated n MATAB/SIMUINK - latf t tudy the vau aect f the cntlle. The actual yte can be deled wth a hgh degee f accuacy n th ackage.. Th Chate dcue the ealzatn f vect cntl f nductn t ung Sulnk blck. Fg. 5.1 hw the ect cntlled Inductn Mt blck ulnk daga f ulatn A INDUCTION MOTO MODE : The t deled n tat efeence fae. The dynac euatn ae gven ung thee euatn we can devel the nductn t del n tat efeence fae. Fg 5.2 hw the ulnk blck daga f t del. Inut t th blck ae dect and uadatue axe vltage and lad tue. The utut ae dect and uadate ax t fluxe, dect and uadatue axe tat cuent, electcal tue develed and t eed. lue N: 2(215), Iue N: 1 (Januay) Januay Page 22

ISSN N: 248-4845 Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Fg.5.2: Sulnk blck daga f nductn t del B INETE : The Functn Of The Otal Swtchng gc I T Select The aate tat vltage vect that wll atfy bth the tue tatu utut and the flux tatu utut.

8 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Fg.5.2: Sulnk blck daga f nductn t del B INETE : The Functn Of The Otal Swtchng gc I T Select The aate tat vltage vect that wll atfy bth the tue tatu utut and the flux tatu utut. Pceng f the tue tatu utut and the flux tatu utut handled by the tal wtchng lgc. Fg 5. ltage Suce Invete Fg 5.4 Sulnk t blck daga f Senle cntl f nductn t ung MAS D SIMUATION OF MODE EFENCE ADAP- TIE SYSTEM (MAS): Fg 5.5 hw the Sulnk blck daga Mdel efeencng Adatve Syte (MAS). Whch cnt Tw blck ne called efeence Mdel and the Adatve Mdel. The vltage del tat-de euatn, ae defned a a efeence Mdel and the Sulnk blck daga f efeence Mdel hwn n Fg5.4. The Adatve Mdel eceve the achne tat vltage and cuent gnal and calculate the t flux vect gnal, a ndcated by euatn, whch hwn n Fg 5.5. By ung utable adatve echan the eed, can be etated and taken a feedback. C SENSOESS CONTO OF INDUCTION MO- TO : The Senle cntl f nductn t ung Mdel efeence Adatve Syte (MAS) ulated n MATAB/SIMUINK - latf t tudy the vau aect f the cntlle.. Hee we ae gng t dcu the ealzatn f Senle cntl f nductn t ung MAS f ulnk blck.. Man ubyte ae the -hae t 2-hae tanfatn, 2-hae t -hae tanfatn, nductn t del, Mdel efeence Adatve Syte (MAS) and tal wtchng lgc & nvete Fg 5.5 Sulnk blck daga f Mdel efeencng Adatve Syte I. SIMUATION ESUTS : The ulatn f ect Cntl f Inductn Mt dne by ung MATAB/SIMUINK. The eult f dffeent cae ae gven belw. lue N: 2(215), Iue N: 1 (Januay) Januay Page 2

ISSN N: 248-4845 Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee

Cntlle efeence eed 1 ad/ec and n n-lad - cuent, Seed, and Tue f n-lad efeence eed f 1 ad/ec

PUT WAE FOMS Unde PI Cntlle: WAE FOM OF eed f n-lad efeence eed f 1 ad/ec Unde FUZZY Cntlle:

Seed Of 1 ad/sec CUENT OUTPUT WAE FOM Unde PI cntlle Wavef Of Phae ltage F N-ad efeence Seed

9 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Wavef f hae cuent f n-lad efeence eed f 1ad/ec Unde Fuzzy Cntlle efeence eed 1 ad/ec and n n-lad - cuent, Seed, and Tue f n-lad efeence eed f 1 ad/ec SPEED OUTPUT WAE FOMS: Unde PI Cntlle: Wavef f hae cuent f n-lad efeence eed f 1ad/ec OTAGE OUT PUT WAE FOMS Unde PI Cntlle: WAE FOM OF eed f n-lad efeence eed f 1 ad/ec Unde FUZZY Cntlle: Wavef Of Phae ltage F N-ad efeence Seed 1ad/Sec Unde FUZZY Cntlle: Wave F Of Seed F N-ad efeence Seed Of 1 ad/sec CUENT OUTPUT WAE FOM Unde PI cntlle Wavef Of Phae ltage F N-ad efeence Seed 1ad/Sec. SPEED AND TOQUE OUTPUT WAEFOMS: Unde PI Cntlle: lue N: 2(215), Iue N: 1 (Januay) Januay Page 24

ISSN N: 248-4845 Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Wavef f eed and tue f n-lad efeence eed f 1ad/ec. Unde FUZZY Cntlle: II.

10 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal Wavef f eed and tue f n-lad efeence eed f 1ad/ec. Unde FUZZY Cntlle: II. EFEENCES : 1.Abbndant, A. and Bennen, M.B. (1975). aable eed nductn t dve ue electnc l calculat baed n t vltage and cuent. IEEE Tanactn n Indutal Alcatn, vl. IA-11, n. 5: Nabae, A. (1982). Invete fed nductn t dve yte wth and ntantaneu l etatn ccut. Int. Pwe Electnc Cnf., Wavef f eed and tue f n-lad efeence eed f 1ad/ec II. CONCUSION: In th the, Sen le cntl f nductn t ung Mdel efeence Adatve Syte (MAS) technue ha been ed. Sen le cntl gve the beneft f ect cntl wthut ung any haft encde. In th the the ncle f vect cntl and Sen le cntl f nductn t gven elabately. The atheatcal del f the dve yte ha been develed and eult have been ulated. Sulatn eult f ect Cntl and Sen le Cntl f nductn t ung MAS technue wee caed ut by ung MATAB/SIMUINK and f the analy f the ulatn eult, the tanent and teady tate efance f the dve have been eented and analyzed.f the ulatn eult, t can be beved that, n teady tate thee ae le n tue wave and al the tatng cuent hgh. The an eult btaned f the Sulatn, the fllwng bevatn ae ade. The tanent ene f the dve fat,.e. we ae attanng teady tate vey uckly. The eed ene ae f bth vect cntl and Sen le cntl. By ung MAS we ae etatng the eed, whch ae a that f actual eed f nductn t.thu by ung en le cntl we can get the ae eult a that f vect cntl wthut haft encde. Hence by ung th ed technue, we can educe the ct f dve.e. haft encde ct, we can al nceae the uggedne f the t a well a fat dynac ene can be acheved..jtten,. and Maede, G. (198). Cntl ethd f gd dynac efance nductn t dve baed n cuent and vltage a eaued uantte. IEEE Tanactn n Indutal Alcatn, vl. IA-19, n. : Baade, U., Deenbck, M. and Gee, G. (1989). Dect elf-cntl f nvete-fed nductn achne, a ba f eed cntl wthut eed eaueent. Pc. IEEE/IAS Annual Meetng, Taa, S. (1987). Seed enle vect cntl f nductn t wth del efeence adatve yte. Int. Induty Alcatn Scety Gva, G., Pfu, F., Illa, C., Magueanu,. and anka, P. (1996). A untay aach t eed enle nductn t feld ented dve baed n vau del efeence chee. IEEE/IAS Annual Meetng, el, I. A. and Hedeu, H. (1999). On the nductn t eed etat butne agant the aaete. IEEE Junal K. S. Naenda, J. Balakhnan, and M. K. Clz, Adatatn and leanng ung ultle del, wtchng, and tunng, IEEE Cnt.Syt. Mag., June J. Hltz and Quan, J. Quan, Senle vect cntl f nductn t at vey lw eed ung a nnlnea nvete del and aaete dentfcatn, IEEE Tan. On Ind. Al., l. 8, N. 4, , H. M. Kjabad,.Chang, and.dawa, A MAS- Baed Adatve Peudeduced-Ode Flux Obeve f Senle Inductn Mt Dve, IEEE Tan. On Pwe Elect. l. 2, N. 4,. 9-98, 25. lue N: 2(215), Iue N: 1 (Januay) Januay Page 25

11 ISSN N: Intenatnal Junal & Magazne f Engneeng, Technlgy, Manageent and eeach A Pee evewed Oen Acce Intenatnal Junal 11.O. S.Ebah, M. M. Neg and M. Z. Yuef, An ved DTC chee f The AC Dve baed n tal evew cntl technue, ISIE26, , 26. Jach Hltz, Sen le Cntl f Inductn t Dve Pceedng f the IEEE, l.9, n.8.augut Cncne, M. and Pucc, M. (25). An MAS-baed en le hgh-efance nductn t dve wth a edctve adatve del. IEEE Tanactn n Indutal Electnc. vl. 52. N. 5: Baade, U., Deenbck, M. and Gee, G. (1989). Dect elf-cntl f nvete-fed nductn achne, a ba f eed cntl wthut eed eaueent. Pc. IEEE/IAS Annual Meetng, lue N: 2(215), Iue N: 1 (Januay) Januay Page 26

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