Formation of Network Matrix Y-bus solution in Power system Transmission Lines (Hand Calculation)

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