y-δ rupantaran

vidyut abhiyantrikimadhye, vaay-delta asehi lihilele aanee itar anek navanni olakhale jaanare vaay-dii. dii. parivartan heey vidyut jaalyache vishleshan sope karnyasathiche ganiteey tantra aahe. heey naav paripath aakrutichya aakaravarun aale aahe, jeey anukrame y akshar aanee greek capital akshar δ sarkhe disatat. haah paripath parivartan siddhant arther edwin keneli yanni 1899 madhye prakashit keela hota. teen-tappyanchya vidyut urja paripathanchya vishleshanat yacha mothya pramanat vapar keela jaato. 
vaay-dii. dii. rupantaran heey teen pratirodhkansathi taara-jaali parivartanache eka vishesh prakaran manale jaau shakate. ganitat, vaay-dii. dii. parivartan heey golakar samtol aalekhanchya siddhantat mahattvachi bhoomika bajavate.
nave.
vaay-dii. dii. rupantar heey itar vividh navanni olakhale jaate, jeey mukhytah donhi kramanusar soochibaddha kelelya done aakaranvar aadharit aahe. vaay mhanoon lihilelya vayala tii kinwa starr dekhil mhatale jaau shakate; delta mhanoon lihilelya δ laa trikon, π (paee mhanoon lihilele) kinwa jaali dekhil mhatale jaau shakate. asha prakare, parivartanasathichya samanya navanmadhye vaay-delta kinwa delta-vaay, starr-delta, starr-mesh kinwa tii-pii yancha samavesh hoto. 
moolbhut vaay-dii. dii. parivartan.
teen terminal asalelya networksathi samanata sthapit karnyasathi parivartan vaparale jaate. jethe teen ghatak eka samanya nodavar samapt hotat aanee ekahi srot nasato, tethe pratibadha badaloon node kadhoon takala jaato. samatulyatesathi, konatyahi terminalchya jodimadhil pratibadha donhi networksathi samaan asane aavashyak aahe. yethe dileli samikarane jatil tasech vastavik pratibadha sathee vaidh aahet. complexes impedance heey ohmmadhye mojale jaanare praman aahe jeey nehamichya paddhatine pratikarala sakaratmak vastavik sankhya mhanoon darshavate aanee sakaratmak aanee nakaratmak kalpanik moolye mhanoon pratikriya dekhil darshavate.
δ teey y madhye dishene parivartanasathi samikarane.
samanya kalpana mhanje y paripathatil antim nodavar impedance sootra _ 1 chee ganana impedance sootra _ 2, sootra _ 3 saha δ paripathatil sanlagn nodeswar
jethe sootra _ 5 heey serve δ paripathatil pratibadha aahet. yamule vishisht sootra milate
y pasoon δ madhye dishene parivartanasathi samikarane.
δ circuitmadhe impedance sootra _ 5 chee ganana karane hii samanya kalpana aahe
jethe sootra _ 9 hii vaay paripathatil serve jodyanchya pratibadhachya utpadananchi berries aahe aanee sootra _ 10 hii vaay paripathatil nodchi pratibadha aahe jee sootra _ 5 saha kathachya viruddha aahe. asha prakare vaiyaktik kadansathi sootra aahe
kinwa, pratikar karnyaivaji pravesh vaparat asalyasah
lakshat ghya qee pravesh vaparoon y teey δ madheel samanya sootra pratirodh vaparoon δ teey y sarkhech aahe.
parivartanache astitva aanee advitiyatecha purava.
vidyut paripathansathichya superposition prameyamule parivartanachi vyavharyata darshavili jaau shakate. adhik samanya taara-jaali parivartanacha parinam mhanoon midavalelya puravyapeksha eka sankshipt purava khalilpramane deela jaau shakato. samatulyata yaa vidhanat aahe qee teen nodeswar (sootra _ 16 aanee sootra _ 17) lagoo dishene konatyahi bahya voltagesathi (sootra _ 14 aanee sootra _ 15), sambandhit pravah (sootra _ 18 aanee sootra _ 19) y aanee δ circuit donhisathi agadi sarkhech aahet aanee ulat. yaa puravyamadhye, aapan nodeswar dilelya bahya pravahanpasun suruvat karato. superposition prameyanusar, currents teen nodeswar lagoo kelelya khaleel teen samasyanchya nodeswar parinami voltage superpositioncha abhyas karoon voltage prapt kele jaau shakatatah
kirchoffche circuit niyam vaparoon samatulyata sahajpane darshavili jaau shakate, jeey sootra _ 23 aahe. aata pratyek samasya tulanene sopee aahe, kaaran tyat fakt ekach aadarsh vidyutpravah srot samavisht aahe. pratyek samasyesathi nodesmadhye nemke samaan parinam voltage midvinyasathi, done circuitmadhil samatulya pratirodh samaan asane aavashyak aahe, heey malika aanee samantar circuitsche moolbhut niyam vaparoon sahajpane shodhale jaau shakateh
jaree itar teen chalanchya (sootra _ 26) sandarbhat teen chull (sootra _ 25) vyakt karnyasathi sahasa sahaa samikarane pureshi asali taree, hii samikarane kharokharach vareel rachana kelelya abhivyaktikade netat heey darshavine sope aahe.
kharey tarr, superposition pramey pratirodhanchya mulyanmadhil sambandh sthapit karate, advitiyata pramey asha samadhanachya advitiyatechi hummy deto.
jaalyanche saralikaran.
done terminalsmadhil pratirodhak jaale saiddhantikdrushtya ekach samatulya pratirodhkamadhye sope kele jaau shakate (adhik samanyatah, pratibadhachya babatitahi tech kharey aahe). asey karnyasathi malika aanee samantar parivartan hii moolbhut sadhane aahet, parantu yethe chitrit kelelya pulasarkhya jatil jaalyansathi tee pureshi naheet. 
y-δ rupantaran eka velee eka node kadhoon taknyasathi aanee darshavilyapramane aanakhi sope kele jaau shakate asey jaale tayar karnyasathi vaparale jaau shakate. 
ulat parivartan, δ-y, jeey node jodate, teey adhik saralikaranasathi marg mokala karnyasathi dekhil anekada upayukt asate.
samtol aalekhadvare darshavilele pratyek done-terminal jaale, samantar, y-δ aanee δ-y parivartananchya malikechya kramane ekach samatulya pratirodhakat qamee kele jaau shakate. tathapi, asey naun-plainer network aahet jeey yaa parivartanancha vapar karoon sope kele jaau shakat naheet, jase qee torsabhovati gundallele niyamit chauras jaale kinwa pieterson kutumbatil konatahi sadasya.
aalekh siddhant.
aalekh siddhantat, y-δ rupantaran mhanje aalekhatil y upalekhala samatulya δ upalekhane badalane. rupantar aalekhatil kathanchi sankhya rakhoon thevate, parantu shirobindunchi sankhya kinwa chakranchi sankhya nahee. jarr eka eka donhi dishene dishene y-δ rupantarananchya malikedware midavata aala tarr done aalekh y-δ samatulya asalyache mhatale jaate. udaharanarth, pieterson kutumb haah vaay-dii. dii. samatulya varg aahe.
pradarshan.
δ-loaded teey y-loaded rupantaran samikarane.
sootra _ 27 laa y pasoon sootra _ 28 shhee sambandhit karnyasathi, done sambandhit nodesmadhil pratibadha tulana kelee jaate. konatyahi sanrachanetil pratibadha asha prakare nirdharit kelee jaate qee ekhadya nodescha circuitpasoon sampark tutala aahe.
n" 1 aanee "n" 2 madheel pratibadha aanee "n" 3 chee δ madhye jodani khandit jhaali aaheh
sope karnyasathi, sootra _ 30 hii sootra _ 27 chee berries asoo dya.
tyamule,
y madheel n1 aanee n2 madheel sambandhit pratibadha sopee aaheh
tyamuleh
sootra _ 36 sathee punaravrutti karaneh
aanee sutrasathi _ 38:
yethoon, sootra _ 28 chee moolye resheey sanyojanadvare (jode aanee/kinwa vaja) nishchit kelee jaau shakatat.
udaharanarth, (1) aanee (3) jodane, nantar (2) utpann vaja karane
paripoornatesathih
y-loaded teey δ-loaded rupantaran samikarane.
jaau dya. 
aapan δ teey y samikarane ashee lihu shakato
samikarananchya jodyancha gunakar kelyas utpann milate
aanee yaa samikarananchi berries ashee aahe qee
ghatak sootra _ 53 ujavya bajoone, anshamadhye sootra _ 30 sodoon, vibhajkamadhye sootra _ 30 saha radd karat aahe.
(8) laa (1) neey bhag dya
jeey sootra 58 chey samikaran aahe. (8) laa (2) neey kinwa (3) neey bhag dilyane (sootra 59 kinwa sootra 60 sathee abhivyakti) urvarit samikarane midatat.
vyavharik generatorche δ teey y rupantar.
santulit teen-tappyanchya urja pranalinchya vishleshanadarmyan, sahasa tyachya sadhepanamule prati-tappyachya samatulya (kinwa eka-tappa) paripath vishleshan kele jaate. tyasathi, generator, transformer, loaded aanee motorsasathi samatulya vaay jodanya vaparlya jaatat. khaleel aakrutimadhye darshavilelya vyavharik tri-charan janitrachya tri-charan janitranchya stater winding, khaleel sahaa sutrancha vapar karoon, samatulya vaay-jodalelya janitrat rupantar kele jaau shakateh
sootra _ 61
parinami yenare jaale khalilpramane aahe. samatulya jaalyacha tatasth node kalpanik aahe aanee tyachpramane resha-teey-tatasth phasor voltage dekhil aahet. parivartanadarmyan, resheche phasor pravah aanee resha (kinwa reshepasoon resheparyant kinwa phase-teey-fezparyant) phasor voltage badalat naheet.
jarr pratyaksh delta generator santulit asel, mhanje antargat phasor voltage samaan pariman asel aanee ekmekanmadhye 120° neey fages-shift kele gele asel aanee teen jatil pratibadha samaan asateel, tarr mageel sutre khaleel charparyant qamee hotatah
sootra _ 62
jethe shevatchya teen samikaranansathi, fages sequence positive/"abc" asalyas pahile chinh (+) vaparale jaate kinwa fages sequence negative/"acb" asalyas dusare chinh (−) vaparale jaate.

