elektrik makinaları 1 - bülent ecevit Üniversitesi trafolar

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    I@CF] CLCT] FTCY\]C\

    K@KR@J EC\@CA ZA\CA OAS@S

    ]YKFDOYEK]Y@CY

    r Nr Djncf K@]JF]K

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    ]YKF\DOYEK]Y@CYC`catrja cfcrhjsjfjf cf fce`j zc``ja`crjfmcf ijrj mc rctj`mjj ycrmcf oa uzka i`nc`crcao`kylk tkfkij`ecsjmjr.Iu tkekff vcrje`j ijr caj`mc ykp`kij`ecsj jjf, ncrj`jejf yctcrjakmkr yasca o`eks ncrcajr.C`catrja cfcrhjsj ij`jfmjj njij moru kae vc k`tcrfktjd kae ca`jfmc rctj`jr.K`tcrfktjd kae`

    c`catrja cfcrhjsjfjf ncrj`jej trkfsdorektr`cr ykrmey`k yasc`tj`jp mr`cij`mjjfmcf,cfcrhjfjf k`tcrfktjd kae`k tkfeks fcejfj aoruekatkmr.\kftrk``crmc k`tcrfktr`cr (ncfcrktr`cr) ykrmey`k rctj`cf c`catrja cfcrhjsjfjf ncrj`jej oayasca mcj`mjr.(2,=

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    -\krnmurue`krfk nrc1k)Zk`t`e skrn`(Forek` jaj skrn`)i)Oto trkdo`kr7-\outulu ljfsjfc nrc1k)Gkvk j`c soutu`kf`kr (Auru trkfsdorektr`cr)i)Zk j`c soutu`kf`krl)\u j`c soutu`kf`kr

    :-Au``kf` kek`krfk nrc1k)N trkdo`kri)` trkdo`kr (Kae vc Ncrj`je trkdo`kr)l) cjt`j kynt, ekajfk vi. ycr`crmc au``kf`kf trkdo`kr (Ktc`cec, akyfka, tc`cvjzyof vcrkmyo mcvrc`crjfmc au``kf`kf`kr, ncrj`je rcn`ktr`crjfmc,moru`tek mcvrc`crjfmc,otoektjaauekfmk mcvrc`crjfmc, fcof `keik`krmk, aoruek mcvrc`crjfmc, nvcf`ja trkfsdorektr`crj vi.ycr`crmc au``kf`kf trkfsdorektr`crnjij.)

    ]YKF\DOYEK]Y@CYF ZKRJ\J TC K@JEK RYCF\R@CY]rkfsdorektr`cr gkfnj kek jjf au``kf`rskau``kf`sfprcfsjp ikaefmkf mkjek kyfmr`krvc ncfc` o`krka ijrijrjfc vc toprkk akr jzo`c cmj`ej jaj skrn j`c iu skrn`kr tkykf mcejrcajrmcatcf o`uur`kr.Sykr`kf skrnyk prjecrskrnvc mjcrjfc mc scaofmcr skrn mcfjr.]rkfsdorektrf yasc`tjlj vcyk k`k`tl o`eksfk nrc prjecrjf ncrj`jej scaofmcrmcf aavcyk iya o`kij`jr.Ncrj`jej aa o`kf skrnyk k`ka ncrj`je skrns,ncrj`jej iya o`kfskrnyk yasca ncrj`je skrns mcfjr.Rrjecr skrn, k`k`tl trkfsdorektrmc jflc acsjt`j, oa spjr`j o`krka skr`r. Zasc`tjlj trkfsdorektrmcak`f acsjt`j, kz spjr`j o`krka skr`r.

    \caofmcr skrn, k`k`tl trkfsdorektrmc ak`f acsjt`j, kz spjr`j o`krka skr`r. Zasc`tjljtrkfsdorektrmc jflc acsjt`j, oa spjr`j o`krka skr`r.

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    ]rkfsdorektrf uluzk ek` o`eks jjf vc mk`ek auvvct jznj`crjfj ncrcasjz ycrciytececa kekl j`c k`t ncrj`je skrns ouf`ua`k j asek vc mcejr cajrmcc oa ykafo`krka ycr`ctjrj`jr. st ncrj`je skrns jsc m tkrkdtkmr. Rrjecr vc scaofmcr skrn`krff

    ijrijr`crjy`c c`catrjasc` ijr ik`kfts yoatur. Kflka zc` o`krka ykp`kf ototrkfsdorektr`crjfmc gcr jaj skrn c`catrjasc` o`krka ijrijr`crjy`c ik`kft`mr.

    ]rkfsdorektr`crjf prjecr skrn`kr uynuf ijr ncrj`jemcaj k`tcrfktjd kae mcvrcsjfcik`kfmfmk scaofmcr skrn`krfmkf mcjja mccrmc dkakt kyf drcakfstk ikak ijr k`tcrfktjdncrj`je k`fr.]rkfsdorektr1 skrn`krf ijrjsjfmcf nccf ijr k`tcrfktjd kae sjstcejfj, c`catroekfyctjacfmasjyof ctajsjy`c,mjcr skrnsfmk kyf drcakfs`dkakt dkra` jmmct vc ncrj`jemc ikak ijrk`tcrfktjd kae sjstcejfc mftrcf stktja ijr c`catrja ekajfcsjmjr.Ijr j`ctacfmc cea jfma`cfcij`ecsj jjf o j`ctacfjf skijt ijr ekfyctja k`kf jjfmc gkrcactcttjrj`ecsj vcyk mcjcf ijr ekfyctja k`kf jjfmc iu`ufmuru`eks ncrcajr.Ekfyctja fvcmc skrn`krf iu`ufmuu asek kyka`kr (iklka`kr),kyka`kr ijr`ctjrcf k`t vc st

    pkrk`krk jsc ioyufmurua km vcrj`jr.Rrjecr ncrj`jej scaofmcr ncrj`jejfmcf iyasc iu tjp trkfsdorektr`crc mrl (k`k`tl)

    trkfsdorektr`cr, prjecr ncrj`jej scaofmcr ncrj`jejfmcf aasc iu tjp trkfsdorektr`crcyasc`tjlj trkfsdorektr`crmcfjr.

    ]rkfsdorektr`crjf ncfc` prcfsjp ceks

    ]rkfsdorektrf prjecr skrn`krfk k`tcrfktjd ijr ncrj`je uynu`kfmfmk,iu skrn mcjacfijr ekfyctja k`kf o`uturur. Iu k`kf, zcrjfmc scaofmcr skrnff mk iu`ufmuu ekfyctjamcejr fvc zcrjfmcf mcvrcsjfj tkeke`kr. Rrjecrc uynu`kfkf k`tcrfktjd ncrj`jejf zkekfk

    ik` o`krka gcr kf yf vc jmmctj mcjtjjfmcf,o`uturmuu ekfyctja k`kffmk gcr kf yf vcjmmctj mcjjr. Iu k`kff scaofmcr skrny acsecsjy`c iu skrn`krmk k`tcrfktjd ijr ncrj`jejfma`cfjr. fma`cfcf iu ncrj`je, scaofmcr skre skys, prjecrmc uykr`p scaofmcr skrnjjfmcf nccf ekfyctja kaff ekasjeue mccrj vc gcr jaj skrny akvrkykf k`tcrfktjd k`kffdrcakfsfk ik`mr.Nr`m njij prjecr vc scaofmcr skrn`krff ijrijr`crjy`c c`catrjasc` gjijr ik`kft`kro`ekm gk`mc scaofmcr skrn`krmk ekfyctja jfmasjyof yo`uy`k ijr ncrj`je o`ueutur.]rkfsdorektrf prjecr skrn`krfk moru ncrj`je uynu`kfmfmk,mcejr fvc zcrjfmc yjfc

    ijr ekfyctja k`kf o`uur. Kflka iu skijt ijr ekfyctja k`kfmr. Iu k`kff yf vc jmmctjmcjecmjjfmcf scaofmcr skrn`krfmk ijr cea jfma`cfecsj sz aofusu o`kekz. fa

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    cfmasjyof aurk``krfk nrc,mccrj mcjcf ekfyctja k`kf`kr tkrkdfmkf ctaj`cfcf skrn`krmkcfmasjyof ncrj`je`crj o`ukij`jr. Moru kaef vcrj`jj vc acsj`jj srksfmk scaofmcrmccfmasjyof ncrj`je`crj nr`cij`jr. Kflka ekfyctja k`kff mcjjej srca`j o`ekmfmkf,trkfsdorektr`cr moru kaemk au``kf`kekz`kr.

    EKFZC]A MCTYC NCYC@CY TC XC@@A@CY]rkfsdorektr`crjf ekfyctja mcejr fvc`crj,ijrcr yz`crj yk`t`e jflc zc` sk`krf st stcaofu`up jyjlc satr`ek`kr j`c o`uturu`ur.\k`krf ijrcr yz`crj fvc jjfmc o`ukf DSAOAKZJR@KYJFJkzk`teka kekly`k `a,lj`k, vcrfja, akt njij yk`takf`kr`k akp`kfr.Au``kf`kf zc` sk`krmk %

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    K`ka ncrj`je skrns gcecf mcejr cajrmca zcrjfc, yasca ncrj`je skrns jsc k`ka ncrj`jeskrnsff stfc ycr`ctjrj`jr. Iu toprka potkfsjyc`jfmcaj cajrmcatcf skrn`kr mkgk ao`kyjzo`c cteca jjfmjr.kyct k`t vc st ncrj`je skrn`krff itf skre`kr ijr iklka zcrjfc ycr`ctjrj`scymj,skresky`kr kyf dkakt skre uzuf`uu dkz`k o`urmu vc ikar ejatkr ijrkz krtkr mo`kysy`k ikar

    akyp`kr mk krtkrm.Iu fcmcf`c k`ka vc yasca ncrj`je skrn`kr,gcr jaj iklkk ykr ykrykskr`p scrj ik`keka surctjy`c ikar uzuf`uu ask tutu`eu o`ur. \krn`krf aoftro`ffao`ky o`eks cajrmca tjpj trkfsdorektrf stf`a`crjfmcfmjr.

    9-EKF]C@ ]R FTC8Ekfyctja mcvrc, skrn`kr auktklka caj`mc ykp`etr.

    K`t vc st ncrj`je skrn`kr ortk iklkk ycr`ctjrj`ejtjr. Ortk cajrmcatc uykr`kf auvvctjznj`crj mcvrc`crjfj mtkaj jaj kyka zcrjfmcf tkeke`kr. Ortk iklkf mcejr yo`u asko`muufmkf eafkts`kfek kae aatr. Iu fcmcf`c c`catrofja mcvrc`crmc iu tjptrkfsdorektr`cr au``kf`r.

    K`ka ncrj`je`j, aa n` trkfsdorektr`crmc au``kf`kf ekftc` tjpj fvc,iya n`trkfsdorektr`crmc mc au``kf`r.Iu fvc tjpjfjf skrn`kr ecakfja ikaemkf m ctaj`crc akrmkgk jyj aoruykf ijr ca`j vkrmr.

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    k)Fvcfjf (+) ca`jfmc st nrf i)Ortk kykk skr`kf skrn`krf acsjt`crjMk`e Fvc tjp`j trkfsdorektr

    Mk`e fvc`j trkfsdorektr`crmc akka ka`kr cf aa mccrmc o`muufmkf io k`ekkae oa kzmr.Iy`clc j ncrj`je me`crj mc kzk`etr.\krn`krf skr`m ortk kykfka youf`uu mjcr kykatkaj`crmcf dkz`kmr. fa iu kykf acsjtj, mjcr mrt kyka

    acsjtjfmcf mkgk iyatr. Iu murue akyp`kr krttrekz, iufk akr`a ortk`kek skreuzuf`uu a`clcj jjf, j ncrj`je me mc kzk`r. Iu tjp fvcmc soutek mkgk zorykp`kij`ecatcmjr.G tjpj trkfsdorektr`crjf zc` ijr ykpe ca`j mkgk vkrmr.Iu tjptc skrn`krf cvrcsjfc spjrk`ca`jfmc \j`jsyue`u ijr crjt salk ik`kfr. Ekfyctja mcvrcfjf uzuf`uu ask, acsjtj

    iyatr. Ka akyi kz o`kf iu tjp fvcmc mcejr akyi mk kzmr. Iu tjp fvcsj o`kftrkfsdorektr`crc \RYKAOYC ]R ]YKF\DOYEK]Y@CY mcfjr.

    \pjrk` fvc`j (\pjrkaorc) trkfsdorektr

    \pjrk` fvc`j trkfsdorektr`crmc ek`zcec akyi, zc``ja`c skl akyi cf k`t mzcycjfmjrj`ejtjr. Fvcmc gkvk krk` o`ekmfmkf rc`atkfs mk aatr. Iu murue akkaka`krf, mo`kysy`k mcejr akyp`krff kz o`eksf sk`kr. Ncfc` o`krka iu tjptrkfsdorektr`cr aa n`crmc ykp`r`kr.

    ]YKF\DOYEK]Y@CYF MF]YEC OYKF@KYJIjr trkfsdorektrf prjecr skrn`krfk k`tcrfktjd ijr ncrj`je uynu`kmfmk scaofmcrskrn`krfk ijr ya ik`kfeksk mkprjecr skrn`krfmkf oa aa ijr io k`ek kae (J2)nccr. Iu kaef o`uturmuu mcjacf ka, scaofmcr skrn`krf acscrca iu skrn`krmkk`tcrfktjd ijr c.e.a jfma`cr. fma`cfcf iu c.e.ajf drcakfs, prjecr skrnyk uynu`kfkf

    ncrj`jejf drcakfsfk cjttjr.

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    ]rkfsdorektr iotkaj kaeff o`uturmuu ekfyctja kaff scaofmcr skrn`krfacstjj vciotkaj fvc akyp`krff sdr o`muu vkrsky`kf trkfsdorektrc MCK@]YKF\DOYEK]Y mcfjr. mck` trkfsdorektr`crmc scaofmcr skrn`kr acscf auvvctjznj`crjfjf tkeke, prjecr skrn`krf mk acscr. Iu muruemk trkfsdorektrf gcr jajskrnsff gcr ijr skrefmk kyf mccrmc ncrj`je jfma`cfjr. Iufk, gcr jaj skrnff spjr ikfk

    jfma`cfcf ncrj`je`crj kyfmr mjycij`jrjz. Rrjecr vc scaofmcr skrn`krmk jfma`cfcf iuncrj`je`cr kyf kas tkrkdfmkf o`uturu`muufmkf krk`krfmk ijr dkz dkra yoatur. Zkfj

    prjecr vc scaofmcr mcvrcmc cfmasjyof yo`u j`c o`ukf ncrj`je`cr kyf dkzmkmr.]rkfsdorektrf prjecr skrnsfmk o`ukf C; c.e.a.j @cfz akfufufk nrc, acfmjsjfjo`uturkfS;ncrj`jejfc tcrs yfmc o`up, yka`ka o`krka cjt mccrmcmjr.Ncrcatc C;c.e.a.jS;ncrj`jejfmcf %;-9j akmkr aatr.]rkfsdorektrf gcr jaj skrnsfmk spjr ikfk jfma`cfcf ncrj`je`cr kyf o`muufmkf prjecrvc scaofmcr mcvrc c.e. a`crjfjf ijrijrjfc orkf, spjr sky`krfforkffk cjtykz`kij`jr.

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    ]rkfsdorektr`crjf vcrje`crj oa yasca o`muufmkf, prjecr vc scaofmcr mcvrc n`crjijrijrjfc cjt ykz`kij`jr.\; 5 S;.J; ( TK )

    \9 5 S9.J9 ( TK )

    \;5 \9

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    ]rkfsdorektr`crmc mftrec orkf1

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    ca`jfmcykz`kij`jr.Ijr trkfsdorektrf mftrec orkf ij`jfjrsc,prjecr vc scaofmcr ncrj`je`crj, spjr sky`krvc kae`kr gcskp`kfkij`jr.

    YFCA8 Ijr trkfsdorektrf mftrec orkf 3, scaofmcr ncrj`jej ;;2 T tur. Rrjecrncrj`jejfj iu`ufuz.

    a 5 3

    S9 5 ;;2 T

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    S; 5 a.S95 3.;;2 5 332 T

    YFCA8 Ijr dkz` trkfsdorektrf prjecr skrn`krfmk 322 spjr iu`ufekatkmr. Iutrkfsdorektrf prjecrjfc 992T uynu`kfmfmk scaofmcrmc;;2 T oaufekatkmr.k)Mftrec orkff,i)\caofmcr spjr skysf,l)\pjr ikfk jfma`cfcf ncrj`jej iu`ufuz

    F; 5 322 sp

    S; 5 992 T

    S9 5 ;;2 T

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    i)a 59

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    3225 932 spjr

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    9925932

    ;;25 2,== T/sp

    YFCA8 Rrjecr ncrj`jej 992 T, scaofmcr ncrj`jej 33 T o`kf ijr trkfsdorektrf prjecrskrn`krfmkf =K kae ncecatcmjr.Iu trkfsdorektrmc spjr ikfk jfma`cfcf ncrj`je 2,3T/sp o`muufk nrc1k) \caofmcr kae,i)Rrjecr vc scaofmcr spjr sky`krf iu`ufuz

    S; 5 992 TS9 5 33 T

    J; 5 = K

    us 5 2,3 T/\p

    k)a 59

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    a 5;

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    J9 5 a.J; 5 =.= 5 ;4 K

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    YFCA8 92222 T/=22 T,;42 aTK`a ijr trkfsdorektrmc prjecr vc scaofmcr kae`krfiu`ufuz.

    \;5 \9 5 \ 5 ;42 aTK

    \ 5 S.J

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    ;422225 =22 K

    ]YKF\DOYEK]Y@CYMC CFMA@CFCF NCY@EF GC\KR@KFEK\J@cfz Akfufufk nrc ijr j`ctacfmc jfma`cfcf c.e.a,skfjycmc acsj`cf auvvct jznjsj skysy`k

    orkft`mr.(t

    .;2-7)

    Acsec gz fc akmkr dkz`k vc acsj`cf auvvct jznjsj fc akmkr oask jfma`cfcf c.e.a mc oakmkr iya o`ur. ]rkfsdorektrf prjecrjfc k`tcrfktjd ijr ncrj`je uynu`kmfmk iu kae

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    ;2

    mcjcf ijr k`tcrfktjd k`kf o`uturur.Mcjacf ekfyctja k`kff ; Gz`ja (; Rcrjyot`ua) srcjjfmcajmcjjej, kyfcf uynu`kfkf ncrj`jejf mcjjejfc icfzcr.

    Ekfyctja Kaef Mcjje Crjsj

    ; Gz`ja srcfjf ;/=fmc ekfyctja k`kf cf iya mccrjfj k`r. Iufk nrc ]/= zkekfmk

    ekfyctja ka mk ekx mccrjfj k`r. ]/= src jjfmc ijr j`ctacfmc jfma`cfcf c.e.ajf vo`to`krka ortk`kek mccrj1

    Cort 5

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    ekx

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    .;2-75

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    ekx.= .;2-7 ( T )

    ] 5d

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    Cort 5

    d

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    .= ekx .;2-7 5 =.d.ekx.;2-7 ( T )

    ;2-7

    5 \ofuluf vo`t o`krka aeks jjf au``kf`kf ijr aktsky. \kfjycmc ;27 auvvct jznjsjacscf j`ctacfmc ;T`ua ncrj`je jfma`cfjr.Iu cjt`ja ijr spjr jjfmjr. ]rkfsdorektrf prjecrjfmc F spjr o`muufk nrc1Cort 5 =.d.ekx.F;.;2

    -7(T)

    Kae vc ncrj`jejf ortk`kek mccrj j`c ctajf( cddcatjd ) mccrj krksfmk1Ccdd 5 ;,;;.Cort j`jajsj vkrmr.Iufk nrc cjt`jjf ctajf mccrj1Ccdd 5 ;,;;.=.d.ekx.F;.;2

    -7 ( T )

    Ccdd 5 =,==.d.ekx.F.;2-7(T)

    Rrjecr vc scaofmcr skrn`krmk trkfsdoreksyof yo`u j`c jfma`cfcf cea`crj ykzklka o`urska1C; 5 =,==.d. ekx.F;.;2

    -7

    C9 5 =,==.d. ekx.F9.;2-7

    c`mc cmj`jr.Drcakfs vc ekfyctja ka gcr jaj skrnmk mk skijttjr.

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    Ncrca`j skmc`ctjrec`crj ykpkrska,

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    Ncrj`je`cr krksfmkaj orkf, skre sky`kr krksfmkaj orkfk cjttjr vc iu orkfk mftrecorkf mcfjr.S; 5 Rrjecrc uynu`kfkf ncrj`je (T)

    S95 \caofmcrmcf k`fkf ncrj`je (T)F; 5 Rrjecr spjr skys

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    F95 \caofmcr spjr skysJ;5 Rrjecr kae (K)J9 5 \caofmcr kae (K)k, a 5 Mftrec orkf -u\ 5 \pjr ikfk mcf ncrj`je (To`t/\pjr)

    d 5 Drcakfs (Gz) 5 Ekfyctja ka EA\K (^cicr), LN\ (Ekxwc``)

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    skysfk i`fcrca spjr ikfk vo`t mccrj iu`ufkij`jr.

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    YFCA8 Ekfyctja fvc acsjtj ;2x;2 le o`kf ijr dkz` ijr trkfsdorektrf prjecrj 32 Gz vc;922 T`ua ijr ncrj`jec ik`kfetr. Fvcyj o`uturkf sk`krf ekfyctja cfmasjyof

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    Rrjecr vc scaofmcrj kyr kykk skr`kf trkfsdorektrcrmc, io k`ekmk akka ka`kr,scaofmcr skrn`kr acsecz,prjecr skrn`kr acscr. Io k`ekmk akka ka, dkymk` kaff% 2,3j akmkrmr.Za` k`ekmk, scaofmcr kaeff o`uturmuu ekfyctja ka mk akka`krk fcmcf o`ur. Rrjecr vc scaofmcr skrn`krmk o`ukf akka ka`kr, prjecr vc scaofmcr kae`kry`k orkft`o`krka mcjjr.; 5 ;a + 9 5 9a + ; 5 Rrjecr kaeffo`uturmuu ekfyctja ka9 5 \caofmcr kaeffo`uturmuu ekfyctja ka5 Kfk ka vcyk dkymk` ka;a 5 Rrjecr skrnff akka kas9a 5 \caofmcr skrnff akka kas

    Rrjecr mcvrc akka ka`krtrkfsdorektrf gce io gce ya` k`eksfmk,scaofmcr mcvrcakka ka`kr jsc yk`fz ya` k`eksfmkf o`uur`kr. Rrjecr vc scaofmcr kae`krff

    o`uturmua`kr akka ka`kr, dkymk` kay kzk`tta`krfmkf prjecr vc scaofmcr j ncrj`jemefc fcmcf o`ur`kr vc scaofmcrjf afmk ncrj`je kzk`eks nr`r. Akka ka`krfo`uturmua`kr ncrj`je me`crj tke cfmatjd zc``jatc o`up kaemkf :22 j`crjmcmjr. Akkaka`kr trkfsdorektrf mcvrcsjfc scrj ik`kfe rckatkfs`kr sca`jfmc nstcrcij`jrjz.Ikz zc` trkfsdorektr`crjf akka rckatkfs`krffiya o`eks jstcfjr.(Kra drf`krff nmcvrc`crjfmc au``kf`kf trd, akyfka ekajfk`krfmk au``kf`kf trd njij).Akka ka rckatkfs`krask mcvrc kae`krf kzk`tekmk vc pkrk`c` k`eky ao`ky`ktrekmk ctaj`j o`ekatkmr`kr.

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    Za` trkfsdorektrf cmccr mcvrcsjfmc j ncrj`je me`crj, jmck` ijr trkfsdorektrfprjecr vc scaofmcr mcvrc`crjfc oeja mjrcf`cr j`c rckatkfs ioijf`crjfjf scrj ik`kfkrkaiuf`krf zcrjfmc ecymkfk nc`cf ncrj`je me`crj j`c nstcrj`ejtjr. Rrjecr vc scaofmcrmcvrc`cr jjf Ajrlggodd Akfufufu uynu`kyklka o`urska1S; 5 -C; + SY; + SW;

    S9 5 C9SY9SW9C; 5 SY; + SW;aS;C9 5 SY9 + SW9a + S9

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    SW9 5 h J9.W9aS; 5 Rrjecr skrn u ncrj`jejS95 \caofmcr skrn u ncrj`jejTcatr mjyknrke jzcracf S; vc S9 ncrj`je me`crjfj nz ffc k`kij`eca jjfY;, Y9, W;a, W9a oeja vc rckatjd mjrcf mccr`crjfjf mcfcysc` o`krka iu`ufeu o`ek`krncrcajr.Y; vc Y9 mjrcf mccr`crj moru kae`k ``clca o`ursk, mccr`crmc kae y`eksctajsjfmcf j`crj nc`cf hou`c akyp`kr mkgj` cmj`ecej o`klkatr. Iu fcmcf`c, ask mcvrcmcfcyjfmcf dkymk`kf`krka k`tcrfktjd kae mjrcf`crjfjf iu`ufeks ncrcajr. aj mjrcfkrksfmkaj dkra forek` trkfsdorektr`crmc % ;- < krksfmkmr. Za csfksfmk ykp`kf`e`crmcf J;, J9, S;, S9, ;, 9 mccr`crj mc iu`ufkrka vcatr mjyknrke jzj`cij`jr.S;j`c J;krksfmk ; ks akmkr ijr dkz dkra vkrmr.Rrjecr kae`k kyf dkzmk o`kfJ;.Y; oejancrj`je me,sofrk prjecr kaek fkzkrkf :22 j`crjmc o`kf hJ;.W;a rckatjdncrj`je me S;ncrj`jejfmcf akr`krka C; vcatrff yf vc iya` iu`ufur.Mkgksofrk yk kae ncfj jzj`crca J9kaeff yf iu`ufur,iufuf jjf iotk k`ek kaeff

    ij`jfecsj ncrcajr.Iy`clc prjecr tkrkdtk ykp`m njij 9 ksfmkf ykrkr`kfkrka,S9 ncrj`jevcatrff yf iu`ufur, J9.Y9 oeja vc h J9.W9arckatjd ncrj`je me`crj S9yc j`kvc cmj`jr

    vc C9 vcatrff yf vc mccrj iu`ufur. kyct C9 5 C;.(;

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    morumur.Zk mk kae ncfjfmcf scaofmcr kaeff yf tcspjt cmj`mjatcf sofrk,C9fjf mccr vc yfC;jf mccr vc yffmcf ij`jfmjjfc nrc,iu acz C9vcatr flc jzj`jr.\caofmcr skrnmkajoeja vc rckatjd ncrj`je me`crj C9mcf akr`krka S9 ncrj`jejfjf mccrj vc yf tcspjtcmj`jr.

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    Za` k`kf trkfsdorektrf vcatr mjyknrke

    ]rkfsdorektrf scaofmcrjfmcf nccf J9 kae j`c scaofmcr ncrj`jej S9 krksfmk 9 ksakmkr ijr dkz dkra vkrmr.Kae ncrj`jejfmcf9ks akmkr ncrjmcmjr.Rrjecrmc jfma`cfcfC;c.e.a j`c scaofmcrmc jfma`cfcfC9 c.e.ajkyf kas tkrkdfmkf o`uturu`muufmkf kyfdkzmkmr`kr.Tcatr mjyknrkeff akrekeks jjf C; c.e.aj (- C;) ca`jfmc ;72

    2 dkz dkra`o`krka jzj`ejtjr.J2io k`ek kae uynu`kfkf ncrj`jejfmcf 2ks akmkr ncrjmcmjr.J;;5 Za kae fcmcfjy`cprjecrmcf nccf kaeJ2io k`ek kae mjaaktc k`fekzsk J;; 5 J;o`klkfmkf J; 5 J9vc ; 5 9ykz`kij`jr.

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    ]rkfsdorektr`crmc akka ka`kr vc skrn mjrcf`crj ncrj`je me`crj o`uturur`kr. Iotkk`kf ijr trkfsdorektrmc yk`fz prjecr skrn`krfmk ijr ncrj`je me sz aofusumur.\caofmcrmc ijr ya iu`ufekm vc kae ncecmjj jjf ncrj`je me o`ekz.]rkfsdorektr`crmc ncrj`je me o`uturkf mjrcf vc rckatkfs,cmccr mcvrcmc ic`jrtj`mjjjjf mkgk ikak ncrj`je me sz aofusu o`ekz.Iu fcmcf`c acsja jznj jjfc k`fkf trkfsdorektr`cr jmck` trkfsdorektr`cr o`krkamf`cij`jr. Mftrec orkf a 5; o`kf ijr trkfsdorektr c`c k`frsk C; 5 C9 5 S9

    cjt`ja`crj ykz`kij`jr.

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    mjyknrke skfaj mftrec orkf a5;

    ;o`kf ijr trkfsdorektrc kjtej njij o`ur.Iu yftce,

    vcrj`cf ijr skre skysfmkaj skrny, mjcr ijr skre skysfk cvjreca mceca o`klkatr.Gcrgkfnj ijr skrn zcrjfmc iu j`ce ykp`kij`jr.Dkakt scaofmcr skrnyprjecr skre skysfkcvjreca, ykfj scaofmcr skrny prjecrc jfmjrnceca mkgk oa au``kf`kf ijr yftcemjr. Iujfmjrncec j`cejfc urkykf itf mccr`cr( ) jkrctj j`c nstcrj`jrcr.

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    S S9 5

    a

    S; 5

    3

    99225 ==2 T

    m) % Ycn 592

    992

    S

    SS S9 5 S92 .(; - % Ycn )

    Los5; (Oeja)

    % Ycn 5;

    ;;.

    S

    YJ c .;22 59922

    33,2.=3,=3.;22 5 % ;,;.;22 5 % ;,;

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    ==

    S95 S92 .(; - % Ycn ) 5 ==2.(;- % :,27,2.299,2.(93,99> .;22 5 (-) % ;,3=

    S9 5 S92 .(; - % Ycn ) 5 ==2. ;(- % ;,3=) 5 ==4,>> T

    YFCA8\5322 aTK, ;;222 T/=;3 T`ua trkfsdorektrf prjecr skrn mjrcfljY;5 2,=9 ,scaofmcr skrn mjrcflj Y95 2,22;: mur. Io k`ekmk mcejr akyp`kr R25RDc59,: a^o`muufk nrc,k) Los52,7 tke cfmatjdyatc,i) Los52,7 ykrcfmatjdyatc vcrjej iu`ufuz.\5322 aTK

    ;;222 T/=;3 T

    Y;52,=9 Y952,22;: R259,: a^

    k) J; 5;

    S

    \5

    ;;222

    3222225 =3,3 K

    J9 59

    S

    \

    5 =;3

    322222

    5 ;923 K

    Rlu; 5 Y.J9 5 2,=9.=3,39 5 7>2 ^

    Rlu9 5 Y9.J99 5 2,22;:.;9239 5 9>42 ^

    R]lu 5 Rlu; + Rlu9 5 7>2 + 9>42 5

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    =3

    YFCA8\532 aTK,4 5

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    =4

    % Ycn 5 % uY5 % ;,29 + 9,39 ) .;22 5 % T

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    ZKYKY@KFJ@KF AKZFKA@KY8

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