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
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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 )
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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.
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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
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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
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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
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]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
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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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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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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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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``)
ekx 5 Iekx. \f(ekxwc``)Iekx 5 Ekfyctja cfmasjyof (vcyk ka) youf`uu(nkuss)\f 5 Ekfyctja fvc acsjtj (le)Ijr trkfsdorektrf spjr skysf iu`kij`eca jjf,mftrec orkffmkf dkymk`kf`m njij,jfma`cfcf c.e.a dore`fmcf mc dkymk`kf`kij`jr.]rkfsdorektrf prjecr vcyk scaofmcr kfek ncrj`je`crj ic``j o`muufmk,prjecr vc scaofmcrspjr sky`kr ijr mcfcy ykrmey`k yka`ka o`krka iu`ufkij`jr. Iufuf jjf trkfsdorektrfvcsjfjf uynuf ijr ycrjfc ijrak spjr skr`p u`krfk ijr vo`tectrc ik`kfr.]rkfsdorektrf
prjecr vc scaofmcr skrn`kr kfek ncrj`jejfc ik`kfkrka vo`tectrcmcf jfma`cfcf ncrj`jeoaufur. Oaufkf iu ncrj`je mccrj,skr`kf spjr skysfk i`fcrca spjr ikfk vo`t iu`ufeu
o`ur. Mkgk sofrk F; 5su
S; vc F9 5
su
S9 cjt`ja`crj ykrmey`k prjecr vc scaofmcr skre sky`kr
iu`ufur.
YFCA8 992 T/;;2 T`ua ijr trkfsdorektrf uynuf ijr ycrjfc ;2 spjr`ja ijr skrnycr`ctjrj`jp,prjecr skrn`kr kfek ncrj`jejfc ik`kfetr.Rrjecrc 992 T uynu`kfmfmk ;2spjr`ja skrn u`krfk ik`kfkf T9vo`tectrcsjfmcf 92 T oaufeutur. Rrjecr vc scaofmcr spjrsky`krf iu`ufuz.S; 5 992 T
S9 5 ;;2 T
us 5;2
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]rkfsdorektr fvcsj zcrjfc ijrak spjr skr`krka ykp`kf mcfcy, prjecr vcyk scaofmcrskrn`krfmkf ijrak spjr sa`crca mc ykp`kij`jr. Iu mcdk kzk`kf ncrj`je, sa`cf spjr
skysfk i`fcrca spjr ikfk vo`t mccrj iu`ufkij`jr.
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EKFZC]A IYE@CYEkfyctja ka ijrjej,ykfj ijr auvvct jznjsj LN\ c`catroekfyctja ijrje sjstcejfmc ekxwc``o`krka k`fkij`clcj njij, EA\ prktja ijrje sjstcejfmc wcicr vcyk vo`tskfjyc o`krka mkk`fkij`jr.; wcicr (vo`tskfjyc) 5;27ekxwc``
Ekfyctja ka ycrjfc ekfyctja ka youf`uuvcyk cfmasjyof youf`uu (I) mk au``kf`r.Iu,ijrje yzcymcaj ekfyctja ka o`up,ijrjej EA\ sjstcejfmc wcicr/e vcyk vo`tskfjyc/e,LN\ sjstcejfmc nkuss (ekxwc``/le) mur.; Nkuss 5 ; wcicr/e.;2-= 5 ; ]cs`k/;2=; Nkuss 5 ; wcicr/le.;2-7 5 ekxwc``/le; ]cs`k 5 ;2=Nkuss 5 ; wi/e5 ; Tsf/e; wcicr/e5 ; vo`tskfjyc/eI 5;~ ;,> wi/e ykmk ;2222 ~ 92222 nkuss
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
youf`uu ;9222 nkuss,mftrec orkf ;2 o`muufk nrc1k)\caofmcr ncrj`jejfj vc spjr skysf,i)Rrjecrjf spjr skysf gcskp`kyfz.k) \f5;2x;2 5;22 le
9
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YFCA8 932 aTK, ;;222 T/=;3 T, 32 Gz tca dkz` trkfsdorektrf scaofmcrj 72 spjrmjr.k) Rrjecr vc scaofmcr kae`krf,i)Rrjecr spjr skysf,l) Ekasjeue ekfyctja kay wcicr ijrjejy`c gcskp`kyfz.\ 5 932 aTK
S; 5 ;;222 T
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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
SY; 5 J;.Y;
SY9 5 J9.Y9
SW; 5 h J;.W;a
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;.(;
9
F
F) aoftro` tutuyorsk jzje
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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92
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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9;
Cfmatjd ya` ijr trkfsdorektrf vcatr mjyknrke
]YKF\DOYEK]Y@CYF CMCCY MCTYC\
Mftrec orkf k 5 ; o`kf ijr trkfsdorektr iotkajk) Cmccr mcvrcsj i) Iksjt`ctjrj`ej c mccr mcvrcsj
]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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\caofmcrc ijr ya ik`kfmfmk,iu skrnmkf nccf kaef o`uturmuu,akka ka rckatkfsj`c skrn`krf oeja mjrcfljfjf fcmcf o`muu ncrj`je me`crj mc sz aofusu o`klkatr.
Mftrec orkf k 5 ; o`kf ijr trkfsdorektrf yatcajk) Cmccr mcvrcsj i) Iksjt`ctjrj`ej cmccr mcvrcsj
a5; o`muufmk prjecr vc scaofmcr kae`kr yka`ka o`krka ijrijrjfc cjt (J; J9) o`muufmkfJ 5 J; 5 J9o`krka nstcrj`cij`jr.Kyf caj`mc C; 5 C9mjr. Kflka C96 S9o`ur. fa scaofmcrmcvrcmc mc akka ka vc skrn mjrcf`crjfjf o`uturmua`kr ncrj`je me`crj vkrmr. ncrj`jeme`crj fcmcfjy`cmc S;6 S9mjr. (S;6 C;)]rkfsdorektrf mftrec orkf iyasc,vcatr mjyknrkef,prjecr vc scaofmcr mcvrc`crjjf kyf `cj k`krka jzeca zor o`ur.rfcjf ;2222 T/393 T ncrj`je`crjfmcaj ijr k`k`tltrkfsdorektrmc mftrec orkf ;: akmkr o`up, kyf `ca`c jzj`mja`crjfmc vcatrmjyknrkefmk st ncrj`je tkrkd k`t ncrj`je tkrkdfmkf ;: mcdk mkgk iya o`klkatr. Iumuruemk gcr jaj tkrkdtk kyr `ca au``kfeka ncrcaclcatjr.kyct k`t ncrj`je skrnsff ncrj`je`cj ;,st ncrj`je skrnsff ncrj`je `cj mftrec orkf o`krka scj`clca o`ursk,vcatr
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.
C95 C9.
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i) % Ycn 5 ;
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l) %Ycn5 ;
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:>,< :>,> :7,; :7,3
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Mcejr akyp`kr iotk vc gcr cjt yatc kyf ak`eksfk rkecf,ikar akyp`kr yac nrcmcjjr.Iu fcmcf`c trkfsdorektrf vcrjej mc yac nrc mcjjr.
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Ijr trkfsdorektrf vcrjej,trkfsdorektr tke yatc yk mk tke yac ykaf ya`crmc k`tzkekf iya o`ur. N trkfsdorektr`crjfmc cf iya vcrje Rlu5RDc o`muufmk nr`r.cgjr vc akskik`krmk a mkte jjf au``kf`kf trkfsdorektr`crmc RDc/Rlu52,93,akyfkatrkfsdorektr`crjfmc RDc/Rlu59 o`muufmk vcrje cf iya mccrjfmcmjr.
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=2
src jjf ya`cfcf vc sofrk mcvrcmcf akf ya`crmc au``kf`r`kr.(Akyfka trkfsdorektr`crj)(RDc/Rlu 5 9)
Tcrjejf ekasjeue o`eks jjf RDc5Rluo`ek`mr.O gk`mc mcjacf ikarakyi,gkfnj yatcskijt mcejr akyifk cjt o`ursk,vcrje o yatc ekasjeue o`ur.]rkfsdorektr`crmc vcrje jaj caj`mc iu`ufur.
k)Mjrcat Ectoti) Cfmjrcat Ectot
k) MYCA] EC]O]8Iu ectot mkgk oa aa n` trkfsdorektr`crmc uynu`kfr.
Mjrcat ectot`k vcrjejfjf iu`ufeks jjf trkfsdorektrf ya` k`eks
\caofmcr mcvrcfjf ya sdrmkf ik`kfkrka tke yac akmkr ykvk ykvk krtr`r. Gcr yatc
wkttectrc`crmcf R9 vcR; mccr`crj k`fkrka orkf`kfr 5;
9
R
R.;22 ca`jfmc vcrje iu`ufur.
YFCA8 ]rkfsdorektrf prjecrj ;3,3 a^ n cacracf, scaofmcrmcf ;3 a^ n
k`fetr. Tcrjej iu`ufuz.R; 5 ;3,3 a^
R9 5 ;3 a^
5;
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YFCA8 Tcrjej % := o`kf ijr trkfdorektrf scaofmcrjfmcf =22 ^ caj`mjjfmc prjecrtkrkdfmkf cicacmcf caj`cf n fc akmkrmr. 5% :=R9 5 =22 ^
R; 5
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5 :=,2
=22
5 =93,3 ^
Iya kae vc ncrj`je`crc uynuf ` k`ctj, iya trkfsdorektr`cr jjf ya iu`eka zoro`muufmkf iu ectot iya n` vcyk yasca ncrj`je`j trkfsdorektr`crmc uynu`kfekz.
i)CFMYCA] EC]O]8Iya n` trkfsdorektr`crmc uynu`kfr.Io k`ek mcfcyjj`cmcejr, ask mcvrc mcfcyj j`c ikar akyp`kr iu`ufur.Rta 5 R2+ RluRK 5 \.LosRT 5 RK + Rta
5taK
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=;
YFCA8 72^ iu`ufeutur.]rkfsdorektrf,k)Los 5; tke oeja yatc,i)Los 52,7 tke cfmatjd yatc,l)Los 52,7 (72 5 :72 ^RK 5 \.Los5
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=9
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Ijr ]rkfsdorektrf mcjja ya vc n aktsky`krfmk vcrjejfjf mcjjej
YFCA8\ 5 ;22 aTK, prjecr ncrj`jej S; 5 9922 T`ua trkfsdorektrf prjecrjF; 5 =22spjr, scaofmcrj F9 5 72 spjrmjr. Rrjecr skrn mjrcflj Y; 5 2,< , akka rckatkfs W;a 5 ;,; ,scaofmcr skrn mjrcfljY9 5 2,2; ,akka rckatkfs W9a 5 2,2
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=:,2
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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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