matlab programlama dili ile hesaplanmas

Transkript

1 dergs ühendslkdergs Dcle Ünerstes Mühendslk Fakültes Clt: 4,, 3-9 asenkron otor analz e otor oentnn atlab progralaa dl le hesaplanas ecan AYTAÇ KORKMAZ 1*, Hasan KÜRÜM 1 Maden MYO, rstes, Elektrk- Özet Bu akalede, atlab Ek olarak, ener e oent Bsonucunda, atlab daha uzun analzlerde daha. Anahtar Keleler: Asenkron Motor, Matlab * ecan, secanatackorkaz@gal.co, Tel:

2 .A. Korkaz, H. Kürü Calculatng oentu wth atlab prograng language accordng to alues of dfferent slp of otor and nducton otor analss wth fnte eleent ethod Extended abstract In ths artcle, we wll focus on the analss of an nducton otor wth fnte eleent ethod. B usng fnte eleent ethod (FEM) calculaton of energ and oent of nducton otor s descrbed. Aspects of beng robust, requrng lttle antenance, the low cost, not beng affected b enronental condtons and ther power per unt olue nducton otors are superor to other otors and can be used n alost eer feld. Motor analzed hae 18 stator and rotor. The ar gap between stator and rotor s 0.5. Enaeled copper conductors hae daeter *0.55 and wnded as 47 wndngs. The fnte eleent ethod generall can be explaned fro these stages: Gng node and eleent nubers, Dson of the soluton area, soluton area s separated to areas and eleent nubers are gen, Generaton of coeffcent atrx, Put known alues of ector potental and exctatons (current etc.) nto proble, oluton of sstes of equaton and fndng potental at nod ponts, Calculaton of other quanttes fro calculated potental alues. In fnte eleent ethod ntall soluton area s dded sall trangle eleents. In nuercal calculaton t s essental and expresses approxate soluton. In ths stud, the agnetc ector potental and agnetc flux denst changes hae nestgated n the soluton of the nducton otor usng fnte eleent ethod (FEM). Addtonal, calculated energ and oentu alues, are copared wth experental results. For ths, a progra s deeloped usng Matlab prograng language. The nducton otor (6A, 380V) s desgned and constructed for ths stud has 7.45 N torque alue s obtaned fro experental studes. Half of the otor accordng to the stud of setr s dscussed, so calculated alue of oent ultpled b. In ths case, the oent was 7.78 N. About 4.4% of error dered fro neglgence n the fnte eleent ethod, experental errors n easurng dece s used n ths stud and etc. The oentu szes that obtaned fro ths stud hae a hgh degree of accurac than lterature exanaton. In addton, MATLAB software prodes eas prograng and adanced graphcs features. Read functon takes an lnes n prograng languages, but t can be prepared n onl a few lnes b MATLAB progra than lterature exanaton (Polat e Kürü, 011). Because of these adantages MATLAB prograng language should be used durng the analss of an nducton otor. As a concluson, desgnng nducton otor b usng fnte eleent ethod, ges better result. Kewords: Inducton Motor, Fnte eleent Method, Matlab 1

3 A G Bu akalede, br asenkron otorun sonlu eleanlar önte le analz üzernde agnetk ener e progralaa dlnde br blg Asenkron otor. Analz or le rotor. Motorun analznde 5 ateral odel 1-Haa -lsulu s Rotor l 1. otor geoetrs 13

4 .A. Korkaz, H. Kürü hac h ele (Char e lester, 1970). onlu eleanlar önte teors onlu elean e Posson denkle rnde 0 x f ( x, ) x onlu eleanlar e ralegh-rtz önte 4. r. Bu fonkson alan (lester d., 1973). Bu denee fonksonunun brnc dereceden denkle (3) (, ) x (3) x 0 1 Bu denee fonksonunda,, x 0 1 x 0 1 x 0 1 (4),, 4) N, N, N (Char, 1973). x, N x, N x, Nx, (5) fonksonunun Laplace dferansel denklen fonksonel F dxd x (6) (7) g g 0 0 (8) 14

5 A e bu atrs düzenlersek g g elde edlr (Derchan d., 1976). (9) Boldea, 00) J / J 4 / 3 44 (10) Denkle Posson Denklelernn Elde Edles Manetk alan problelernde Maxwell H J (11) B H (1) B 0 (13) 1 (14) μ=manetk perablte, = Manetk rezsttedr. B A (15) Wb/'dr. Denkle (11) de H erne denkle ( (13) elde edlr. Bu denklede B erne denkle (15 17) elde edlr. Bu denkle, denkle (18) de 11) Posson denkle elde edlr. B J (16) A J (17) A A J x (18) 18) de n, anetk ektör potansel A(x,)=A z (x,) olur. potanseln br fonksonudur. Bu duru x e B denkle (0) de e ( erlen B x, rot Ax, 15

6 .A. Korkaz, H. Kürü k B x, x z 0 0 A x, Az x, Bx 1 Bx c A c Az x, B x 1 B A c A b A b A b A (19) (0) (1) () (3). B x B x B, (3) edleb dea edlr. potansel lektedr. A x, x 0 1 (4) e A kabul edersek A n ern Denkle (5 x x x x A A A A (5) x x (6) x x x x ( A A ) A A (6) Denkle (6) ( A A ) A A (7) denkle (n teker teker hesaplanarak B * Alan * Yükseklk Magnetk Ener (8) * Denkle ( ene (9)n kolaca hesaplanablr.. A * Magnetk Ener L (9) I 16

7 A Asenkron otorlarda oent br stator hesaplan (Kü, 00). B B n t T rdl (30) 0 Asenkron otorun elle ap n sonra onlu Eleanlar B B t dr. n onuçlar progr gbdr. Progra gb dosalardan da okutulablr. Gerekl olan erlern belrtlen sonra.. Motor. Motorun oto duruu 4 dre A, B, C zaanda her br kadar sonlu eleanlar analz A/ Motorun analznde 5 r 17

8 1, rotor (Oh.) se stator 1.588e- - potansel ler ). Kaa=0 9. u duruda agnetk 3. Kaa=0 agn 0. Kaa 1. Kaa=0 4. ruda n analzler sonucunda otorun Kaa=0.03 ken; Moent= N Kaa=0.049 ken; Moent= N olarak asenkron otorun (6A,380V) denesel sonucu elde edlen oen 7.45 N dr.

9 duruda oentn 7.78 % 4.4k hata aller, hat MATLAB (Freean e Lawther, 1973). laa asenkron otor analzn aparken Matlab Pro nn e atlab asenkron otor tasarlaada Kanaklar Char,M.V.K.,lester,P., (1970). Fnte Eleent oluton of aturable Magnetc Feld Probles, IEEE Transactons on Power Apparatus and stes, Vol pas-89, No:7 ( )., (003). Lneer Asenkron leanlar, Doktora Tez lester, P., Cabaan, H.., Browne, B.T., (1973). Effcent Technques For Fnte Eleent Analss Of Electrc Machnes, IEEE PE Wnter Meetng, New York. Char, M.V.K., (1973). Fnte Eleent oluton Of The Edd Current Proble In Magnetc tructures IEEE PE uer Meetng And EHV/UHV Conference, Vancouer, B.C. Canada. Derchan, K.., Chechurn, V., ara, I.,., Boldea, A., (00). Nasar, The Inducton Machne Handbook, CRC Pres LLC, Washngton D.C., Cathe, J., J., (001). Electrc achnes analss and desgn applng atlab, Mc Graw Hll, ngapore, Journal of New World cences Acade. H., (00). Br Lneer Asenkron Motorun Mateatksel Olarak Modellenes, F.Ü. Fen e. 19