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Power Systems Engineering - Formation of Network Matrix Y-bus solution in Power system Transmission Lines

  • 1. fi*non". oF oot f-l/"- : AbrilTTaa.6 /./e7a/x ( YB,.) aF A PN€a NEirr4( o/^//-.,e a- A- ( Y) I - p".. - l-4, en7 lz ' 7^ -B-t /r"//./ ' . '8oee. i{ve : tdL (.3 - 8,,s, .*1'* p*." s1s1.-) Bd cEi.f /rc, po-* s"//,-,e h nll-hl /- 4.*l- ? L,- o 6l'fl o. (go 3 .,,
  • 2. s.l.{i":- V | +i"oarr io.oxo /, . " rJ." 6- oq3+j.rs = o. ?+a-j6 56& +o 644-io 4q3-lj' *+i 0"26" c ' rar+-jr""g I D Es+j" 6< o.65al6 as = o.T+e,jo.s6r i I oec -jo,ar?6, +j","2:-+1o.oLa" /- . 1.r s1- j 1.16"c + r r--aa5o F l6 6lh o.1e+jo:s o.es +j"ts - O 64a -j-a1s L r.o31 -.]0'I16r jo.-,r.+1o.r8o = t-66.a-J tl6E6Y Y .V /u' = /," '- ': - (6.64+-j".q{e) o ?s+ j o }s L, -X"'-o6+4+jo413 ;*r* = (r'"':-l''a1q6.) Yr, - lz"' -r'6sq+16 iri( Y,"=l ' -(' ++. - j '. 'e*) g, : -d "4e+jo s(r /n = Y,, - -
  • 3. /6 l."ra -i t.2-:n d -l o?1 +j o +( ?6 +Joj93 +jo +(16 * j r. t(r( -o 6++ {g{ 6"1_;o^la :_?.++- /r", . ['l u] I r,, t,. r,) [ l^,,.r.,1 'lt , L ," ,",-l t L' la, /* U,, bq".-l ;{ r.6ss -j..,6s6 t1, t vi) ,-l t,l . -o 6a++joa93 a
  • 4. L lJ. .l."- 6l- - s"- b l.t L,t 1,, Lr, L jo. 0,46 /-" - l-, o,. + u-- N. -t-* /-- L", x t,',, VJ*. /"- - 1",v," r.rEa-j '.2c1( r.a6a-j, A3+( _ f (o.,*.n I.rE'-j r.416 l."IE, -J .2s+( - [e".*t,ri" ",*1 F".rr-ij" <. I rjb I-aB,-l ,.rsT[ _ J o.srr" ls,r."rs, I Uea. l.3a4s?oo.:rss T. L o 3q+s-vo s,r l - o :q}s -i 6-s,!l l.+t, - o.al}s _11.231q
  • 5. v U +Ub 9-e k- -k * 11" sd, t j". uu u^L "g u,. u-/* l* * La, 4" - t. oeq r-j o.ar1e - | (--s+e.+j ".",+er c- " "*i" C .,. o3r a j o r r. c - [ {.. :.r+ L]re r-i1 6,."^ 1*.1*i] '-l ooa+jo ?re6- J t t o.3a+s-lo.1es6] o.aasr l3::rra"l - l. o3q +jo4ri, = -J oan r o .g++t L"' U ', V.1". - s". {" .1": Lu, v", /', - 6 . La+aj a- aq' l.'+r+ -3s Bla -b-sa.s+j 6 ,-+!'6 +j o.+ 116ai o.'j,6 /s' - t,,
  • 6. v =l u *L u'3n N. tL a1-1^"- ks 1., 'L Y.,, 1",, u,, c' u"" l." v"l"- .1 1., . Y"e, - 1", un ao - l.oaa +j o.+le6 - fL, . +.u, *;o''*; ( r' aer -j r' "er] l-3c4s'ro.t6s- - I orjr jo rrq6 - l(.+rr"p4,,ry /r;r: r<s c*., --'-- ll - t. -Jo (- 5 t6t f0.",," I .ss-ar--j o ?/6- -I €1+io.Trie -f -".e+q. +io rqe"l I .ss,+s- _jo ir6s_ - I oea!jo-1r-r( {-o.64€iio.+ieo t.gr+s-j". qr6s : :3+] { 0.,.( t.€Es--jo.116s r . 66"4 le3.6+Ao -.B.SCq o rxos *.] o.or+4 0 .9.T4t
  • 7. /." ' 1., u'o * L (l + U l"l. **. f- so, rr _f,^J. u,. vhY t". V""e X Y.", L", d,", 1". h ue" . U.*g L, uo .- 1"" U,., o
  • 8. L t-r v r.aa.r *l I.o"3 - o 'a{2+jo.oLa( -o 4]3s+l o-orz& - o 443+]0 s6s l.36r|5 -j o a16' -' o . r-{ 3s - J;.ot, + -c6++elo +9s - r.:tas +jo. ?1e2 o 3rt + -j t-rese