elektrik makineleri 2 - senkron makineler - mustafa turan ders notları
TRANSCRIPT
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 0<
5.
SHMKRGM ILKĺMLNLR
5.
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02 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
0.
SHMKRGM ILKĺMLNLRAM QLZASA UH ÀLNAŝIL ZRHMSĺBĺ
0.
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 03
`hmnaėa dhėaŗihyhm bu dgėru lnlm, rgtgrum (kutup thkhrnhėa) dõmdþrþnihsa anh flrhkht
hdhrhk stltgrdlka anhtkhmnhra khshr vh bu anhtkhmnhrdh `hranai hmdþknhr. @hmhrltõr
aŗnhtihsama làļknlylm bu àlnļŗildl, dgėru lkļi anh uylrtļniļŗ kutup thkhrnhėamh
(rgtgr) ihklmak hmhroa vhranap, stltgrdlm hnhktrak hmhroasa (lnthrmltae lkļi) hndh hdanar.
Rgtgrum dõmdþrþnihsa surhtaynh `hmnaėa dhėaŗihyhm vh flrhkht htihyhm lnlm dõmhr
lnlm flnamh `hnar. ŝlyht stltgrdlka àgk elznļ lnthrmltae lkļi slr`ļsļml àgk elznļ
lnthrmltae lkļi uy`unlmļrsl, stltgrdl dõmhr bar ilmyhtak lnlm gnuŗur. Bu lnlmļm fļzļ;
me
ps
5: <
gnur. Kutup thkhrnhėamam dgėru lkļi anh uylrtļniļŗ vh bar dļŗ tlfrak lrlcļ anh ms dhvramh
`htaranap shrbhst bļrlkļndļėļ dþŗþmþnþrsh (bu gnlyl shmkrgmnlil dhmar), stltgr vh rgtgr
lnlmnlrļ barbaramh khmhtnhmhchk vh rgtgr stltgru ms fļzļmdl tlkap hdhchktar. Bu tlkapth
rgtgr bar dļŗ erhm ilkamlsļ anh lz iaktlrdl yþknhmhchk gnursl, rgtgrum S kutbu
khmhtnhmiaŗ gnduėu stltgrum M kutbumdlm kþàþk bar làļ elrkļ anh `hradh klnļr. Bu
igtgr àlnļŗildļr vh dlfl sgmrl yþk làļsļ gnlrlk tlmļinlmlclk gnlm yþk làļsļmļm
mh`ltae gnlclėļmļ `õsthrar (rgtgr `hradhm `hnihkthdar).
@hmhrltõrdh ash durui thrsamhdar. Rgtgr lnlmļ, stltgrdl yþk lkļinlrļmļm gnuŗturduėu
dõmhr lnlmdlm anhradhdar. _arl rgtgrdlm vhranhm ihklmak `þà, stltgrdlm àhkanhm
hnhktrak `þcþ erhmnhmar. Dgnlyļsļ anh, lymhm igtgrdl gnduėu `aba, rgtgrum bhnarna bar
igihmt anh tlfrak hdandaėa dþŗþmþnþrsh, stltgrdlm àhkanhm hnhktrak `þcþ lrttļkàl stltgr
lnlmļ kutup thkhrnhėa lnlmļm `hrasamdh klnlclktļr. Bu mhdhmnh yþk làļsļ =: gnlclktļr.
0.3.
Stltgr Qlpļsļ
Stltgr vh stltgrdl bunumlm àgk elznļ hmdþva slr`ļsļ ylpļ atablrļ anh lymļ lshmkrgm
ilkamldlka `abadar (bkz. Kļsļi< - Bõnþi
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04 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
Ilkaml `þcþ lrttļkàl, lkļiļm vh dgnlyļsļ anh klyļpnlrļm lrtililsļ aàam stltgr i
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 08
Tlfrak ilkamlsļ, Erlmcas vhyl Klpnlm tþrbama (Fadrgnak slmtrlnnlr) gnduėumdl yþkshk
vhraina dhvar slyļnlrļ 5: - 3:: dhv / dlk lrlsļmdldļr. (0.
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05 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
0.4.2. Àļkļk kutupnu rgtgr
ŝhkan 0.2 Kutup àhkardhėa, àļkļk kutup, igmtlonlmiļŗ rgtgr vh ligrtasõr slr`ļnlrļ
ŝhkan 0.3 l) Àļkļk kutup vh hmdþvamam hėranak ylrļàlpnlrļmļm elrknļnļėļ b) Àļkļk kutubl lat àhvrhshn ilmyhtak hmdþksaygm dlėļnļiļ
Flvl lrlnļėļ hmdþksaygmumum samþsgadln dlėļnilsļ aàam kutup blŗnlrļml õzhn ŗhkannhr
vhranar (ŝhkan 0.3). Hmdþksaygmdl bunumlbanhchk yþkshk flrigmak dõmhr lnlmnlrļ vh
ihklmak tatrhŗainhra blstļrilk aàam kutup blŗnlrļml làļnlm gnuknlrl kļsl dhvrh
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 00
ligrtasõr slr`ļsļ yhrnhŗtaranar vh bu slr`ļnlr àhvrh bgyumcl kļsl dhvrh flnklnlrļ a nh
barnhŗtaranar (samclp klehsna lshmkrgm igtgrnlrdlka `aba). Àļkļk kutupnu ilkamlnlrdl
flvl lrlnļėļ kutup tlksailtļmļm
<
8:
<
5:anh ‖ļ kldlrdļr.
Àļkļk kutupnlr àhvrhsamh slrļnlm uylril slr`ļnlrļ lrlnlrļmdl shra blėnlmļndļktlm sgmrl,
iandhm azgnh hdaniaŗ banhzak -eļràl dþzhma anh lyrļ bar thriamln kutusuml àļklrtļnļr vh A -
K flrenhra anh ldnlmdļrļnļrnlr.
0.4.3. Quvlrnlk rgtgr
ŝhkan 0.4 l) Quvlrnlk rgtgrnu bar shmkrgm ilkamlmļm uylril slr`ļsļml lat kuvvht àaz`anhra dlėļnļŗļ
b) Bõynh bar kutup thkhrnhėamh lat iik hėrasa
ŝhkan 0.8 Gnuk lrlnļknlrļ barbaramdhm elrknļ yuvlrnlk kutup thkhrnhėa
Quvlrnlk rgtgrnu `hmhrltõr àgėumnuknl 3::: dhv / dlk yldl blzhm 3
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06 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
ailn hdanap flssls bar blnlms lylrļml tlbaa tutunur. Sanasna slàtlm ylpļnlm rgtgrnlrdl
vlrdļr.
Samþsgadln hmdþksaygm dlėļnļiļmļm slėnlmilsļ aàam rgtgrum 2/3 slrļnļp
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 01
6.
SHMKRGM ILKĺMLDL HMDÞUĺ RHLKSĺQGMX
Shmkrgm ilkamlmļm hmdþvasamdh þrhtanhm lnthrmltae `hranai bar yþkþ bhsnhdaėamdhm
dgnlyļ, yþkþm klrlkthra ilkamlmļm dlvrlmļŗnlrļml htka hdhr. Qþkþm klrlkthra lkļi anh
`hranai lrlsļmdlka elz elrkļml blėnļdļr. Elz elrkļ; lkļiļm `hranaih iuklyhsh anh dlfl
õmch vhyl dlfl sgmrl ilksaiuil hraŗihsa anh grtlyl àļklr. Lkļiļm `hranaih `õrh
pgzatae elzõr dõmþŗ yõmþmh `õrh `hra klnilsļ hmdþktae ( > :), anhra `atihsa klplsatae
( = :), lymļ elzdl gnilsļ ash ( 9 :) giak yþk gnlrlk tlrae hdanar. Hmdþktae yþk _ 9 R
+ o VN, klplsatae yþk _ 9 R - o VC vh giak yþk ash _9R anh vhranar. Bu yþknhrh uy`um
lkļinlr, `hranai rhehrlms lnļmlrlk (U:) ylzļnļrsl;
AR 9U
R ,
AU
R VN
N
2 2
- , AU
R VC
N
2 2
+
gnur. Hmdþktae yþkth; 9 lrct` (V
R
N ), klplsatae yþkth; 9 lrct` (V
R
C ) giak yþkth;
9 : gnur.
Bu aeldhnhrdhm yþk lkļiļ anh thriamln `hranai elzõrnhra lrlsļmdlka anaŗkanhr ŝhkan
6. :
ŝhkan 6.< Giak, klplsatae vh hmdþktae yþknhrdh U-A elzõrnhra
ŝaida àļkļk kutupnu shmkrgm ilkamlmļm hmdþvasamdhkadhka slr`ļnlrdlm elrknļ
UU U
A A A
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6: Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
klrlkthrdh yþk lkļinlrļmļm `hàtaėama dþŗþmhrhk, ilkaml aàhrasamdhka iik
dhėaŗainhrama `hmhrltõr vh igtgr aŗnhtih duruinlrļ aàam amchnhyhnai.
6.
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 6<
yļėļnilnlr vh dgyilnlr gnuŗturur (ŝhkan 6.3).
ŝhkan 6.3 Shmkrgm `hmhrltõrdh hmdþva rhlksaygmu sgmucumdl lkļmļm yõm dhėaŗtarihsaynh kutuplylknlrļmdl gnuŗlm lkļ yļėļnil vh shyrhknhŗihnhra
Qļėļnilnlr dgyilyl mhdhm gnlclėļmdlm dgnlyļ, lkļdlm tli astaeldh hdanhihz. Bu
mhdhmnh giak yþknþ àlnļŗildl, `hmhrltõr thriamln `hranaiamdh lz iaktlrdl dþŗih
gnur. El ‖mļm Ee ‖yh 1:: dak gnilsļmdlm dgnlyļ, giak yþknþ hmdþva lnlmļml hmamh lnlm
dhmar. Bu àlnļŗil duruiumdl, kutup lylknlrļmdlka (lz iaktlrdl) yļėļnilnlr
mhdhmaynh kutup lnlmļ hmdþva lnlmļ tlrleļmdlm lz iaktlrdl zlyļenltļnļr (ŝhkan 6.2).
6.
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62 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
Quklrļdlka mhdhmnhrdhm dgnlyļ lrtlm hmdþktae yþk lkļiļ anh (õzhnnaknh 9 1:: ash)
`hmhrltõrþm thriamln `hranaia lŗļrļ dhrhchdh dþŗhr. Qlma hmdþktae lnlmļ hsls kutup
lnlmļmļ kuvvhtnach zlyļenltļr.
6.
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 63
E E Sam
E E Cgs
E E E
E E E
ld l
lq l
d e ld
e lq
ŝhkan 6.5 Hmdþktae àlnļŗlm shmkrgm igtgrdl hmdþva rhlksaygmu
Kgnlycl `õsthranhbanar ka, klplsatae igtgr aŗnhtihsamdhka rhlksaygm, hmdþktae
`hmhrltõr aŗnhtihsamdhka hmdþva rhlksaygmuml bhmzhr gnup, ŗaddhtnh zlyļenltļcļ htkayh
slfaptar. Giak igtgrdlka durui ash giak `hmhrltõrdhka anh lymļdļr (Fleae zlyļenlil).
M
S
El .
+
Ee
d
ms
q
d
El
Elq
E
qEld
Ed
Ee
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64 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
1.
SHMKRGM ILKĺMLMAM HŝDHĝHR DHURHSĺ
1.
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 68
barbaramh hŗat gnduėu klbun hdansh banh, ilkamlmļm hnhktrgilmyhtak sasthi gnlm
ylpļsļmļ hnhktrakshn bar dhvrh (hŗdhėhr dhvrh) anh thisan htihk, ilkamlmļm
phregrilmsļmļm vh aà dhėaŗkhmnhramam amchnhmihsamdh bþyþk kgnlynļk slėnlr. Lmclk
bu slyhdh ilkamlyl anaŗkam àõzþinhr kgnlynļknl hndh hdanar. Àgk elznļ vh elznlrļ
saihtrak gnlm bar ilkamlmļm bar elzļmļm thisana anh hŗdhėhr dhvrh hndh hdanar. Tþi
fhslpnlr õmchnaknh bar elz aàam ylpļnļr vh dlfl sgmrl àgk elznļ sasthih `hàanar.
Hmdþva anh kutup thkhrnhėa elrknļ aka slr`ļ tlŗļdļknlrļ `aba, bu slr`ļnlrdlm `hàhm
lkļinlrdl klrlkthr yõmþynh elrknļdļrnlr. Bõynhch ilkamldl aka dhėaŗak lnlm
ihvcuttur. Bu lnlmnlr lrlsļmdlka anaŗkanhr hmdþva rhlksaygmumu dgėurur. Bõynhnaknh
ilkamldl banhŗkh bar lnlm sõz kgmusu gnur. G flndh bu aka slr`ļyļ grtlk gnlrlk
klvrlylm bu lkļ zamcarnhihsa l , hmdþvadhm `hàhm lkļi mhtachsamdh grtlyl àļktļėļ
aàam bar õz hmdþktlms tlrae htihsa `hrhkar.
l 9 Nl A
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65 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
Þà elznļ bar ilkamldl, kutup slr`ļsļ vh hmdþva slr`ļnlrļmļ ŝhkan 1.
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 60
.
H H H
H A R o A V U
e l
l
< <
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66 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
Z A R cue e e 2
gnur. Banamdaėa þzhrh lnthrmltae lkļidl bþyþknþknhr elzõrshn bþyþknþknhr gnup,
aànhramdh làļnlrļmļ dl blrļmdļrļrnlr. U< rhehrlms elzõr lnļmļrsl ;
U U< < :
A A<
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 61
8 – V klàlk rhlktlmsļ vh Vl hmdþva rhlksaygmumum rhlktlmsļmļm banamdaėa klbun
hdanarsh (dlfl sgmrl blfshdanhchktar) giak, hmdþktae vh klplsatae àlnļŗlm `hmhrltõrþm
elzõr dayl`rlinlrļ lŗlėļdlka `aba àazanar.
1.3.
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1: Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
E > Ee
H > He hmdþva rhlksaygmu kutup lnlmļm kuvvhtnh
zlyļenltļcļ htka ylpļygr
ŝhkan 1.4 Hmdþktae àlnļŗlm shmkrgm `hmhrltõrþm elzõr dayl`rlinlrļ (`hranai vh iik elzõrnhra)
1.3.
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 1<
E > Ee
H > He hmdþva rhlksaygmu kutup lnlmļmļ
zlyļenltļcļ htka ylpļygr
ŝhkan 1.5 Giak àlnļŗlm igtgrum elzõr dayl`rlinlrļ (`hranai vh iik elzõrnhra)
1.3.2.2. Hmdþktae àlnļŗlm igtgr
ŝaida >: lnlrlk yuklrļdl blfshdanhm ldļinlrļ uy`unlrslk ŝhkan 1.0‑dh `õrþnhm elzõr
dayl`rli hndh hdanar.
E = Ee
H = He hmdþva rhlksaygmu kutup lnlmļmļ
lrttļrļcļ htka ylpļygr
ŝhkan 1.0 Hmdþktae àlnļŗlm igtgrum elzõr dayl`rlinlrļ (`hranai vh iik elzõrnhra)
Hmdþktae àlnļŗlm igtgrdlka hmdþva rhlksaygmumum htkasa, klplsatae `hmhrltõrdhkamh
bhmzhr gnlrlk chrhylm hdhr vh kutup lnlmļmļ lrttļrļcļ yõmdhdar.
1.3.2.3. Klplsatae àlnļŗlm igtgr
ŝaida =: lnlrlk yuklrļdl blfshdanhm ldļinlrļ uy`unlrslk ŝhkan 1.6‑dh `õrþnhm elzõr
dayl`rli hndh hdanar.
oA
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12 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
E > Ee
H > He hmdþva rhlksaygmu kutup lnlmļmļ
lzlntļcļ htka ylpļygr
ŝhkan 1.6 Klplsatae àlnļŗlm igtgrum elzõr dayl`rlinlrļ (`hranai vh iik elzõrnhra)
Klplsatae àlnļŗlm igtgrdlka hmdþva rhlksaygmumum htkasa, hmdþktae `hmhrltõrdhkamh
bhmzhr gnlrlk chrhylm hdhr vh kutup lnlmļmļ lzlntļcļ yõmdhdar.
1.4. Àļkļk Kutupnu Shmkrgm Ilkamlmļm Hŗdhėhr Dhvrhsa vh Dhmknhinhra
ŝhkan 1.1 Àļkļk kutupnu ilkamldl flvl lrlnļėļ elrknļnļknlrļ
Kutup thkhrnhėa anh hmdþva lrlsļmdlka flvl lrlnļėļ d hkshmamdh iamaiui; iam
(burldl flvl lrlnļėļmļ `õsthrihkthdar), q hkshmamdh ash ilksaiui; ilx ‖dļr.
Dgnlyļsļ anh d hkshmamdhka ilmyhtak darhmà d iamaiui, d lkļsļ ash ilksaiui
gnur. Daėhr tlrletlm q hkshmamdhka flvl bgŗnuėu (ilx ) ilksaiui gnduėumdlm
ilmyhtak darhmà dh ilksaiui (q), q lkļsļ dl iamaiui gnur.
=:;klp.,
>:;
igtgr
+
oA
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 13
N A thihn blėļmtļsļmdlm N 9
A gnur.
Banamdaėa þzhrh, bþyþk gnduėumdl N vh làļsln fļzdl `õz õmþmh lnļmdļėļmdl
V N rhlktlmsļ bþyþk gnlclk, ilkaml slbat bar `hranai þrhtaygrsl (yldl slbat bar
`hranaih bhsnhmiaŗ ash) slr`ļnlrļmdlm iamaiui lkļi `hàhchktar. Lksa flndh, ylma
kþàþk gnduėumdl ash N vh V kþàþk gnlclk, dgnlyļsļ anh slr`ļdlm `hàhm lkļi õmchka
duruil ̀ õrh bþyþk gnlclktļr.
Bu anaŗkanhr mhtachsamdh ; shmkrgm ilkamlmļm bgyuml hkshmamdh bþyþk gnlm d bgbam
lkļsļ, bumum tlmļinlylclėļ bþyþk rhlktlms vh kþàþk lkļi dl ;
NAld
ld
d
<
, V Nld ld
aeldhnhrama tlmļinlr. Dlfl kþàþk gnlm hmamh hkshm lkļsļ; lq vh gmum mhdhm gnlclėļ
kþàþk rhlktlms vh bþyþk lkļidlm ;
NAlq
lq
q
<
, V Nlq lq
aeldhnhra hndh hdanar. 1.2< vh 1.22 ĺeldhnhramdh elrknļ hkshmnhr aàam gnuŗlclk V ld, Vlq
hmdþva rhlksaygmu rhlktlmsnlrļ, an`ana lkļinlr anh barnakth hmdþva rhlksaygmu
`hranainhrama (elrknļ hkshmnhrdh; hnhktrakshn gnlrlk 1: elz elrknļ) gnuŗturur. Bu
`hranainhr?
Hlq 9 oA
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ŝaida 1.23 vh 1.24‖dhm hndh hdanhm hmdþva rhlksaygmu `hranainhrama dhėhrnhmdarhrhk,
ŝhkan 1.2‖dh vhranhm yuvlrnlk kutupnu ilkamlmļm hŗdhėhr dhvrhsama àļkļk kutupnu
shmkrgm ilkaml aàam dþzhmnhyhnai (ŝhkan 1.
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 18
1.8. Àļkļk Kutupnu Shmkrgm Ilkamlmļm Elzõr Dayl`rliļ
1.20l vh 1.26l mgnu aeldhnhrdhm ygnl àļklrlk, U
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1.8.
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1.8.2. Àļkļk kutupnu shmkrgm igtgrum elzõr dayl`rlinlrļ
1.8 Blfsamdh azlf hdandaėa `aba, U< elzõrþ rhehrlms lnļmļp, 1.26l mgnu aeldh
slėnlmlclk ŗhkandh elzõr dayl`rlinlr hndh hdanar
1.8.2.
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16 Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm
1.8.2.3. Klplsatae àlnļŗlm igtgr
H He Hmdþva lnlmļ kutup lnlmļmļ zlyļenltļcļ
htka ylpilktldļr
ŝhkan 1. :
igtgr
oA
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Hnhktrak Ilkamhnhra AA - S:4 – Dr.Iustlel Turlm 11
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Shmkrgm Ilkamhnhr :4 Dgsylsļml Hk – Lrŗ.@õr.Blrļŗ Chvfhr
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Shmkrgm Ilkamhnhr :4 Dgsylsļml Hk – Lrŗ.@õr.Blrļŗ Chvfhr
fļzļml hraŗar, ylma shmkrgm dhvarh unlŗļr. Shmkrgm ilkamh ŗhbhkhdhm hmhroa àhkhrhk
shmkrgm igtgr gnlrlk àlnļŗļr vh ygn vhrih aŗnhia tlilinlmļr.
Burldl ygn vhrih aŗnhiamdh shmkrgm igtgru sþrihk aàam Shrbhst Xylrtļinļ DL
Igtgru kunnlmļniļŗtļr.
Tlrtļŗil Kgmusu? Shmkrgm igtgru bar ylrdļicļ igtgrnl sþrhrhk ygn vhrihk aàam bar
lshmkrgm igtgr kunnlmļnlbanar ia7 Hėhr bu aŗ aàam bar lshmkrgm igtgr kunnlmļnlclksl
`hrhkna ls`lra ŗlrtnlr mh gnilnļdļr7 Làļknlyļmļz…