{t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · f / _j ta.-,lyt

37
u€ f f; ( - ,/ 'iror.*r{u't r,ta-t $1 d@ue< ( ': A -Y Y-d A-A ,L f". n^ s + -el*1i, ka.A.e-.,,. !\\.\ ( J.)... ,.cl etrl 4 1r*,,rJo,rrtuF pifh a-tf g-/ ";,' ft*' ta /*rtvzeu.( {u lr / f 1,a**,:f>zrt<-e.t..a, r.r: 3 x fit,-'*'76 ii.,.' 1'l^+ | 1 i)ic.xt..-tt j, LQrc- r'ell:u, J- Itu s,1slcn.., ,i 6r*&-nc-eel , ne;t/ntt1 it',tl^ .atr . e,"l ,/'U d4 h-. f,o '71a^"u." I \ \t{, Ii _( Jrr'r r'" {t9 12.'1 "+e a. {*at{ Cu1 co Lt \ 4 * 9 \..a Zt ,ttvi,l t y-Y c*J..rn+c F,:--l. - P i-nu.r.-ir, ,,a,L{.-\ , ,ro-i1t lf -t vT= ( r.,/s.v1 ku :7t tnv{tr tef r,t w ) n.f"-"d Y .^[\* "/ /k {a,J o...l t^.(-. e, t ,;t&. ) $.4 c..r/"|,^*_, l,:,J 2t-^ {na'e*c*,a.at {a'- lL t*7tr- 11 = 0,6 (? 1L ;)= 6P rL

Upload: others

Post on 04-Mar-2021

3 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

u€

f f; ( - ,/ 'iror.*r{u't r,ta-t $1 d@ue< ( ':

A -YY-d

A-A

,L f". n^ s + -el*1i, ka.A.e-.,,.

!\\.\ ( J.)... ,.cl etrl

4 1r*,,rJo,rrtuF pifh a-tf g-/ ";,' ft*' ta

/*rtvzeu.( {u lr / f 1,a**,:f>zrt<-e.t..a,

r.r: 3 x

fit,-'*'76

ii.,.' 1'l^+ |

1

i)ic.xt..-tt

j,LQrc- r'ell:u,

J-

Itu s,1slcn.., ,i 6r*&-nc-eel , ne;t/ntt1

it',tl^ .atr . e,"l ,/'U d4 h-. f,o

'71a^"u."

I\

\t{,Ii

_( Jrr'r r'"

{t9

12.'1 "+e a. {*at{ Cu1

co Lt

\4 * 9 \..a Zt ,ttvi,l ty-Y c*J..rn+c F,:--l.

- P i-nu.r.-ir, ,,a,L{.-\ , ,ro-i1t

lf -t vT= (

r.,/s.v1 ku

:7t tnv{tr

tef r,t w

)

n.f"-"d Y .^[\*

"/ /k {a,J o...l

t^.(-.

e, t ,;t&. )

$.4 c..r/"|,^*_, l,:,J

2t-^ {na'e*c*,a.at {a'- lL t*7tr- 11

= 0,6 (?1L;)= 6P rL

Page 2: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

I, ,*tl

T"t"u"i h1r

| / 3E.i1L 16{ l',zr= a-6 (;;l =o b(7,r,J'

'\ I-/

I.t/

5c1u-ar<

,r.,f ll*td\-

co frr^rrrf:s

V8t

6'

r'J

Ii'-- it\lD4 ,|io-

Y-A

{{,'irr3,c hL,1 .*.{ -tL- f -tls

'"*"3,;k.L ( 4*." ri c. I't**r.

,.1| l'Li- re;hL

t 1*. '[ !i'{

Scr,r^t .9 *I.p*.,,t

)

\./it - t

Vt--z, tJon

C.*:t

toe JL

o, o I lf"e

"- {r', l ,

{* { ,, '.r l+yr-r

l*.,1 I -f u...t,

Page 3: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

{r^

il,nur.' I = 7S rnrlt

Vu={t kv f'^ h'P

ft"tt (ro" 0't t'i< lo'*"

$yt-a

-=l

*r,& ^^^;,.

A^A f -n

ii

iI

I(l1_ ...

nzf)

\/'\ -'-)r.

\l,|l)

3t.4 ?

{il

i,tV R

7 t66tt't6= -+, -

a:= r '6 )(

R!,r'= t 8',e t7 I

= jf.t ,z

t (6 3: rSc{('i3,J

, ?.dfl f"€**--***-+

O.. ct vce2'c^4- "{ il'uV-..tt*ttzn

wrA"A*- ltq cq*re/b J'A 'Aj,l,'{sn '

h**tft **"^.,-'"-/t.,1

f -A cenne<.Ft*x '

a a $;t**. /o c-o{ '

I rnft!, , f!

- ktl,u.. .r,toq

I

/r. /a r.- lcn ,rL --t

.ttt/u t"tfr-t{,"rtrs1

lh&

t i .('t& L '"s /c"'a.

e*iee '1" A-etr t-t(tun"*

V--3,8t tc-

L

ZR.[3::]i1,, : O " tQ 35 ".rf-I

Pu1

(r-=

?rt

,J l?o

(8, x) ff* ia4q

6,. y'o* 4(u2 'xe n

\tr t

/"y

Page 4: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

7.

I

fi{*k,

reideaa

f:"' *q-.,t!l* *1,* k

j-!t tau't/o ,r..?/w)1-

It7|'oa1 f ;rtt2r .ae .-c l.aqll._

e'te1 , tt o.41 ha*rL =

0^ lt,e . L orc n

t -,/- /eot*./o ),?,..a4

7oo lnvo / Lze y /zza t_tr54on/-.,L

" r.i'.- rLuyen&r*,aa" t/l.uat,//uct-'*/r{-^f. s, *4, : o (Lt J

ry/" t;

ffia '.ra ,FZ.q

,-] c,cq,- Ltt e.tta"rtrXz.e-d&^4fe. -*-4c:."k*.a

7 /ui i c ./o* - ue,^ =+

t.J t ' ,fl4 ^fo-kw')ea lro{e -/

/u0 r7tv4 1 .L3o lc l,/

CtA

/"qn /"..^arts<,a c-d{ f\, t^€rt'r^e.c.,-rt'f1^4

' ik er '7s l+at {tJ{. 6rz.* er'r

("

;1,

-r-4

;I/4,

.ilt^.I'\4 '/ran-./.>r*q.r I tt

L?Z):'/oo

\t

'vv .= 0 " O /Z?7ct .

?au '

,"trt./ tr,w,

,

,{I

J-7

J

7

*/ /d.'L

Crn*d

*"{...nt

rrU,l

uz*,

Page 5: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

*' = u,,

vL NzJ=2

H= €,= Nt

\t Pz z tLt,

-d,T-:

"l

t'1

/4,-prq.t La,^,t

t'-d t-t- a"tJ

:)

Nz ,ta z,- YL = n ::-=_L LL #rr,

z:= ! ={ * 'j' z,At \. rvz

N' o, * !( z r= /rE,Nz ' Nr

-'*-t

1*JgrI,2bL

VI

lf n rt dza{ ' (z&rccl /o z it"wL

,%

4cJ(

&clt

€ t.n* NrL,-NJr.ia

N, I,= MrLy

Tr= E

V.= LrL.

fn*flur: lrhvtncr

Loo*,y--b c'

un7o.

Lt*

y g,*: vrL.* 4", dr*,J'r.ftqr\"

TuL

Nof 4*r-4N,J i,

+(to

(

L-

{ rot n 'o)

Page 6: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

6,)N,-?gso ,, /t)4, fao

vr= izpfE u Lt=

tt,li, lvr,Zy = ?

r.

t^u,4rr^-1

^r*,,_(

8n /r

: ?o /*"

, 3o u /-u- +-- -./t 3b ,-rt*r)

fr/hbuy t"rrr*r^tf*

3,1' < uut v}r,t,f "

,z&(aJ

ta rt v"tol ,t,/r.rtk

tr,lnoLnf nstur(,J *'-' -Q<'c1'z\ ).t se.ise@t &stus @,$'*Jy* #*ni^t/.ue^ tL

/s- .tsf &do,

;{f""u1 u\

/, o., y'orrr, , Ay+,4rrr$ &spI

% 6Lq.w/ &rnr *$. /lw -e*,nn,n"n,/.dsheeis "f' st_*rnufdl,^t ru.u\'r ,, x_\y"tr,. eo,lr*r.l

Page 7: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

f_

a*W bss n tl,< crrE

J

vt

(4

Va\/ey,a src>Lt -

't- L& Az o.ri

nvwl t- Af|f.'Nl

*-*-'LZ;

t^tLe

t^ r,*rt1 i'j'u"''"),tn

/,^_ #t,

r+ &, = f i- al'r

\ t-7r+oLt'

't-'{ /r**$ttr4r',.\= ?ao* , . ML= Jou

fu.2-n L=3 'LsrLN,'8-ftLt- f t.,r-\,/ --1L

tLl' - J)a1 7n- -r

&,= C. a^n= Z+ 16 tt d llf =

7t=8+16'tb'f= (6sL

t: = /6 x Zz= i6 t 12* 172 s-

Xr: Cr'fs 4

t/,: lTeo v

xae'Tr

-zt-rvL

ry_(

Y :4q.n.k*$ te,^.[-.c-

w {J "j,< .y, (ui"a.o= rw76*/ f* -

Page 8: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

6*

V

: O.. azVZ

L -\z /"

u-r7 gft{;r1^a'16"'o./ /,$ J -

, J' fn o 'z { -,*,1 l- .'ui-l k " I

lr.*"/o...ft-n-q-- Cu"-^15

a.^"/-dr!,\*., -

,./ /k pa,ft-ttvuzkrtin .o/;t *,.t (o /o;'-" U"

; / r/; ,n h rcq .+-ukrtt ,-, ,!r,7^..." & t'tl t

) 'z-5 Ave

fzrm ltqr'e*:.<*d*n cc

L : o,,f? JLrd

/eq-k't r tbl

Page 9: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

F / _J ta.-,lYt<-c**-.{S

tr ytte*l@ arL{.

*-F i'I 1 &/L'vrJ e z L4/t-(t\/)

eAch ild4t.{t*,2*, nol*, .

,CCrh fJv{

lo { rvra

J n-'**

irL-t-s

vu'c

zs

cI

'"Xc"u,*rtQ,

'1

?__J

A$

^-t5 -4.g.^ ,-> lu rr-.n . lo o o,: k-v Q

t

r5- (

{br-. ,* b t': &.,:cn to ooo LvQ

t** -{L*r pt-tr -f 3-o

rLlL,rrr^-L 'l.n f* {"i L 'n^-r A 'T

ho.* +t" rt"*.6,.A.,u**t- d'iv"rn*'*'

,ll*.t-..*, -{r-,**^for rwe 1r.otr L*..r-

b*i*u*i* *Li^L

6a kvl.Jul,d crv....--iL ft "<-**j"...-,

I!-..^\u,"

:)

6-l .rL

\

G)

, #*"../ " t,lt;rc 6,

-'\

Y\GT

"o.^ad

) (]') f"(JLl*

6aot

L/r4

rS ,.*L*l"JagL\-1{ f

"t "<r/

,3-Y tt/

lr5 c, o 't Lv ra.- | r t t61 U v fu,-p'A-t;-.Ql

a

f(-ol.Jo.. v/,

,'r18 k,.^ L-*<. fl- 'l

;r"q, //rtt,.,+Q

c-/'t. r:ttn. f-zU y .t-:' Lf

p*,

c

r-1tt'7,

t.& ft*1rWfu^*qz)^ .

*(V ,^u4J".kot ;{ +t* uo tl.** ..+ +d{

,riH.. "l-la ctgit*t vr. bn +L*{. ftn* r" t.tTs

>.*..'N -

' A ''l= o"t *tjfVS =C,l x "6 = i j,8 L.V

= ds &-Y

.,H".3 rr" f^a,ABiy

b- {9,t x \/; = 6iJ x 138

zL-(v;f- (6sri) :i1=----.::---=.p

$6 [o ooo toj

=.*l =o- 63 f,,9?s i

Page 10: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

6

/6=

^,,rt ]

,a(v")J4

L

/*A u,^7e&_a,.a.

pxA /' , trl lL

t = l"d )'B

5_o

,^F

Xo=

(rs tr ,rt)/o ta6

re/erru-*t h /1 i

b= +?:= 0.t,,

/?gtt

{G(J

7

(,ns', & rJ7 -

%E t1./o ,o4

rek'ac-.t ao K -. Joo t Z\l(o.,)

lL= o.6t pL1 .

tlI-t

I o os,

lo.^".r , ..i! nn = otQsl

69tvt Qtllr = .f-fL f.4.0-o3

t/e ( -e -/ u@

C.-<.rar'r**"'l-

.U*rt'-f

".[- l,c'-l

L"

: ot

-) r*-

= (r-tz)xfu, j bgslio LW

or7ls_ d,9t+0t gs'+

= !7a\ t1*

Du X z'-- ltou"4

f '-'- J <a" ,,n^1-\

tz4

t+o.",.F/) 1

o- ? r to -s391

7.tr z )

?

05f+

{t *,

l

Page 11: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

{-:. *

fd* \

tl

il**

\ -p

*Nr;- LlUe b l*16[da"t

'r Xr,.,^-bst

l^"

;A:tt el"'ct ^

(n y hc't , 7,o. \1t '[Jr'.r+ n .. t-, s * 7'plAe r--l rl

lt* -, L.-.[) *.

- r''t',n^- ^t 'j ,w"f;"*,'.*hoq Jr.g.".i, c^ ${*

f,r.*.[ F".^Lr,;, ^*? L. o.^}!.-*l

(ocre,

t---rJ+t )

-Yrla

'-t

F,3 .G.tf f e ,tt (: U.^.rl' * -)

^44.--)

r---* lr\', 1 o-G .,*[

Gr'u-'"r) 6of*t B r\^^uao,, L' t " .^[c-*j'*l.*-t r ;r ll ..

L^^)y inr*tj^r.oi {l<.-t.rle cr'{/,'''!ed

,*ll

44*, \- {' o^"$'^*'- r'-a'*<cY'rt

,{o'd ,ih/? r! ztr,.^f'i'{*"' l-

,"tdfo 3;o,u'to(4d"

t "*,*J*t- r*tlneJa 6''lt{-,rt o*^""*tt-'l

{r**.o.lli"**lthr" u{q *""1 W n,,an'-.'L^'

t\t-{*-{tu.c. ,^rLn)

r1 tl.rot :

Y+ rtf-+

ik"," -* o+.r"*. \ "

Page 12: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

]

'e-dr,,-ru* l, GJa^l*^&% "<r:

k*-r* t ",^{ S e"'o,*r,lc"x -{ .^*'n-e-t d f t.,u..**il L tl*yt <.*{x.e .4

--*2r-ed,t

-J{-:5

-

V=6^L3all* Ls'L

-) €S-2.&fr=Z,,ir*1,

ze-v a ?

"lon*r^- c444 6e J-,n-e- ft- arfr*<-

; {

c'z\-7tct-La-,

'0* n'a"14

gs."r {,& o.te - (isra .rl.*ro'*m

o--46

{C^, 'J,-" ,u.n1runon la

-.e A " *o.(

r !t {, c".L.*,(-&-(

----a I r-

eL

,-i r) iriq-LeJu

c9̂

€t ftrJ"2r=

'7 Zt'

4 ^e-*L.e( J*

da-

Page 13: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

f"*

--'

<e dAW -

- t2, jt''r

f *+ ",V C*".":l 67

I ----"t r'*7 G*.ue( C'J

I,

1"t

rcL (u"au ()

(ru"n q)

io,J

nt t;+t

t-

d=

Y^ V nYf

Yt Q-g) *

-\I z,= v, [r^*y{ n/t} *4 /{ - )o =-4 ls * v, Yr, - vuY, +", (\

Jr""r,* c&vt 6o 'urt?"l"-', ,/* --o-4/J

'4^44"n-L,r€ f".,,r.. oJ "{ *f " *#r57L* t, L44 y,*/,/,

o,-tl-

_1 0. ltf

f 't,.tu tltl to"l

- ^* v -- :^^

I

j o,tr

ta-€:

nnYa

/, t vt-, uJ, 4 e41 L.*_.-CrQ

'1( ''lSJ

")

.l v

v, tt

*Y4 U-4)3

Y) *Yn (ur-41 '/

Yt

+Yu t Y")

,+o./4 .

; o L L,*,-,*t

Page 14: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

rI

wI,

tI

J

f v,,

| ",,I

ll:

Yrr YrJ

Yrr Yrr

Ytz Ytt

Yo. yfs

rrY

Yry

Yry

Yvy

c$"" t

\/I

L

6

(.t

J'

1!C.4u-( ) (

V{ L..+*

v.'tt

0fttu-*

4." 4eU.v<fts---^-<z- /u&fuxS.fr^^"-d>^ .-J

,44/.*,u4-r/ *4,

fu. ,^*-l,r'"( ,o,l(,lv

7L--ZZ.n:(

/U

Vq

va)L -

C6 =6v<-*J

i-t k-/-, / *J6'8.]

(,T/o*

f - z-- /'f /n*-r -)=

J t.z,f 1.r 7-je.87--:-

-

=;1-lf

/,,: *J^o.I-,ie-;'S = -i3'/t,. = -J"J,t -j 2,f -jt = 1/s<= i? -j"o,t-;'t,;t=r J

/,rr: *ir-lf1r=1/t

=)

/1* ^oe{e- u^l .* ^uQ {r-Cu. rra", f ;s { 55 <-eJ

.l!"d,* ,y (J*^f. /fle/ "u.n^6r* I

,L*{?*r"-U"/ ?L.

/ <z'*+"t*-, J

,rt7 ,"o, ,._ I .*/. \

eq"aL5

(/-*$^ eJ,*,-)

/L<- *

= -J/z /1'!]. *o.)t--.)a,f7

Page 15: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

Ytr= Yzr = n

Y,E*Ys,= +j7

Ytv=Yy,- *Jt

f"t''l-o,71.

-j a

la *it-t

Io

PT,

-{I

/ hus

-,,1 o'3?o t

J o, ve a*:= L1**r't

JoVkZ

lr-r = Ir* 'Yz', " Yv, -

7s,,"Yrsi-$ F

j,<-

-€J'

3 z"t

{r

1{-,,}

lU:{JLn, J j

ytn

s [tr]=l

lt,l;o

b'

lIII

l

t-

?. f jo -11

j8"3 jz.t

)z t :tt;3

*j5 jr :(8

+ v, = ("116 l:f"'',/^

u, = (.\LT /-rv'zl

Vl ' l'vJV

V\ - l' vlL

)

3 0 \?7\ Ja,3?os

i o,Vf+z

J aiq zz

jorrz6

j a"va?,a

j 8. ;rer

,1 d.f rr$

jo.v8e

j$,vz rz

Page 16: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

1I

I

I

III

J

i

:

3

{u=[*

t* g"uy^l, &",q _

I [.b

f s l*JL

I r,J \:* [",] G=ff3

tlL

1,t-.

7lt

tl

q

4.t

f\

tJ

:l4s

8,'1

e1

tl

.i

1?t

rtl

LI

a

I

.-+...

l

u

(--

ttL

-lI

I)

rI

L

I

(.

e

I

Itlu

li

f L,t

lotl- b j,

6IC;J

IArtA -

l:":

qt

a

D*

,.Jt{ C

B-

A g=

fuI:l ,IJJQJ

67

A:DHr6M:FH+ o,

u I [-oi+-*l=lJ J L Ft-l+

f*)c=lo

L\t hi.\a-

al b,, Io" )lo,, Jr a, 6,,

bgl t Qj, btt t qlt{r,[^,,

Qj,

I-- Ls{-l.,--e{ dtttvVzznrca n*r-l

J

Page 17: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

re4

td*",

h c-rn '3

,".*1t 3t7

I='/, Vbtr 5

/4 J" b.. *.(r;;^-Ld B,.e- y*4 "J- lo*PL* n \rn/T;ces.

frAl fK ,_l["^llr^ J= Lr' $ I L"^ J

TX " ,t4"t*';fq o/ -""Lo'n J* le P{r'<''t

\/"/ r

{rrn"JLv^* L vx

tl vn * &t V6 -+ -J%": /Lt v

- M ' tJ !h =Vx

T.:vto* r- [- r' J v;lL

=fv-LM^J ]t"L'

,f

T

d-**-"*'J ""/t^A-€_ e:{.thvtt hu

nel*<t:uq-e-/

No& tLur*,h*hb. l""V rWe^*y -4k"e^

Y,t*i*4 ,u4 )*".n ,. .'-^s, fue //* t*${i -L t LA^'

t

$",{

vtt"*5

6; anJ T &Aa

e(*,

_Jo. i rfi,n

I ""\

jt''; j" ''

Page 18: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

LIII

II!,4

J

1a"a1oG

,_1ct. c?3e

tfIIII

)

irj5

jt'rfi; l

t(13(l

j q a734:"/

J I o?su

e/,' n<:(&A e.^r&

G.iv ojt ?\

G,J

ga)= -J u,8 { ^-6,t9ff j /'? f

isa {ir I IJll;r l: IJo | - lr-rtl'l c l I

J'o J L

- I

IIIII

tJ

-{- 6q =*/-1 u

It-,

.l

- riv,t IJ)

ir I fio,Gs,r'r ll',t,J> I llo a*oc

JL

llacq i\ a f%J

+3{' 13.tttaU

r - i q.f )j/- I Jt

t 11.':V !(

t *jV

I j'':t ;t!,5

I!j8

_ jv*,r

|.- 'r.8 o

l"l- -jsjlrY j'':ljr js

['rr'sfr{v1 ft^I tbLV

-i-# I t

{--rlItllrII

l-"tL-)

[',,| -ttt"I JTEII

| .rY,

-l rt",I JY

O

fW *- - lLt

t5

*rq?

L tl4-' Lr =

=

/b* = k- t*r"'L

) ""t,*r//*r r^ 6rA'*"* / ,tu,nd z

/2-u . ,kf.*/*^e-< &*'L,** ,.{ Z

aoy',,--/hn u t****l-, t-eo./t7,*y'.a***- ** *"(u. :

(v '7? cut 4fi*/ ?,f 736 -

t'10 '* -icJJ 't"tb""-\.Lr -/ €Le.-

j

Page 19: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

t.; /; # $.ik ss fur = e,r,

,.-uilV..k !oca,.-<*-. L

€^ - €E

J(t-t5.

: c). 3e? S

2'lyn- *^-{ - f-

+o.LaSS)

*_.; o- ro?J "=

. .+r--<'jv

a- f."

t- r 7/,:o,t l.

fZr*"r-$* V/1 -*-I^^.zr t*Lz- y*rJ

(o'hsrf 9,wsf,=a,3Lf=

* 4;- e-h rro.-(,2- ( :

,/- ,/(-fo /. "- i t .zs )1J-

*36" r I.\r r

o" 3qs5 -t {. , tr?

;fJO"J& y,"l

r a,3*sr/Ye:CI, vE2* a,l6t (" . ')

CI./(? +@. /&y

-/3 ,t

= /,3$

IJ

a,lvs

ta,J

Page 20: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

]

j

'0ci.(- c-&q;rot11u , q *Tu Lu*-t -14,< yur*r

^;6<a-.f1

,""t "rt"-X atrcxrsio 1 ,^Jl*i{ l^d*n ,

ll &\.^re I c>U"J^

Lr*i,to/.t>1 -- pa-t"- ^'**(-t- cos( Gi" '(*

lO,,vr tt^t- L^-"fl,*"J n-e clz 4 uzt,.t-6*_nr

Vt1Ir i,Ui

:) Y b,_, =

Y, ,,r -,

Y.., n,-f

_ Yel Y"j

Y""

u-' ..'", .'..-.-v..".,"..'"'.' ^,-*J

ttlL'

IYii

.J

I,j.tJ

Yoi (ne"")= )'J'*-*

Vrr*, =

[

V

-jeIS -oJt-"J2

ffi.wx" - -A-?k-!"-in'v|Yt1 Y+r j1

j('ii [,*.*-l 3 /3, {on,y)

Y,,y

ED\

"-G^^^-4 &rt ocls.tt ; trL .

{-,tL,4f ti'<*J<nl,

t f &rs, -{-

A t(n

TY

* Ll|.

I ;s.. I

1.5:lUl$ J

'vl't rJy..1

,n_l

!L

js.3- JZ.S4)

jv"Z,T

Jiq"t

J5

+I+

ir ri I- j,t)' ;6,w

Page 21: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

n

Y,* \2,; -ir r; t r

h%d = l\']zj{s J

i s {i 8r :-i lo,9\J,/-j rr

o - q{-Jtts87

-i 6,91J

l A?'

-jlq'5--

Y,:

Yu

4

Yrs

fl

Y,,

-j 8'e *jtrjs xir *

4

Y,,

Xxt--tN- i*jl t*#f,_j r,vr

o -,i ,:i9, lltsl'' -j/8 v

Ql^J ;\ ;* r j II J*v

1rt=ffij6'

"1

9,vt

,\w6LL

". anll

6*n

brtt L

1u o+if

,r-J

3 f-::| -r't;LJ;*--42,

j1,

a\

\

tIII\^1,

I

't*

Xb

t9l

v.1

jL.^J' 6

J

3.

F:4w,lhpv, = |

[i k u+t'

I

at99

Page 22: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

$'' J.,,r,'-(71o" ,e &Arw(a" *<

ZLr.*r=

'Z ro'.-, =

A*r-ef

Y *.^-,

f^ ?,,

I tziL4t

tte Atfzr,. 74

Izt, k/?-- q'

J ,-n'u\ 'v'b

j"rr'uLugtd" I i

t-Yu,. V

o

rI,tII

I

\3ri

V J-7t LL r./

'L

I

III

II

I

V,: vf1; o

wr-,t*Sll-o*.'* 4 +('* n

no r-&-. b\t /kVL-

Page 23: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

\

(/ r7r-4

O{rrJ-

e '*/^tuile,a-&,e/A4^*e{w4,<< thi^edg

7/ tuvel- l,

f,= Y, VA\'v)

4.)

1..Q rt

&.n*g"-t r'--

-/ 6 rfr"""r?

uoLt:t

,-\

Yr,-" 1=4

- \l*1 'L= v

W\rvJ

I

Vrt?ziL1

T

i/tI

I

IIII

tt--'I-'r=urJ

6-t-4^ a cx-^{- * L-r- ryr,\ r'\ , l^,-o^ [* <3-., ]

+\* ^.c,t< "= (k^?r-, oJ ewu {, "-if.**7

Wocl'-vt fZos^ **4{ 5 o r,r,rcYzr

V =brrar + e,,-a-t** &tLlAt + L.. \r- tzs

Vj -- Lsrt( +a ,, \*Lts

VzJ:,zL Lz,

oP*t

c

"^^A

| 3o .,-. *,"

\c".4 3. L

Page 24: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

-1

1"-"+!;t, i

, Vl Ic[r=- Icl12- |

I'':L1": o

1-Pa "Va

I

A',-= + |J-L I

!.+ L1-;t

{Lu 6" v%{

: l'7 ,1.'*, l*.J*e'tt*- Y L)e'9 {;*^

,l

I

lo r1o't

Y.,; I "

r.t I

Jg (.,,',tfb

etr=/-v32 /''g Tfu^*t, ,; ". (.( '

Page 25: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

C.J

-..i-J

(,)o

ju,8 *JI*\H

L

I

^l-tc.8 LJJl AA I

q

:J\

1{

jr,6

* TL*Lj ': t'

t$^*1vv-JoYlJ4e^J/' ,,('**n G7 *t*"

-.t Tc- I-\l

Ja

y.d(a*/ J)& c."r*>tt-s,"-t-'{ -{ * (

/ t ;/tuk"/ /* (

"- /r("f.-. od O ,Q.olr. '. furctz ,r- ('%rra

trA-^-/f f,***n '

I,t* ffi ,{ /f,6

al*-* - f" , s /, o. hc*.t.,l**. fi, ,22?

/ q.4a+/dAe&/v? frt /f"

,tV'

o

\4{* ZwI +t.Tr**\r\r9Fcrt

33 (,--tt <*2-{"^

, /-:''r7"yrji -j5

Q,6 G:

M*,(il"a

; lrr*.r/=oy''r/

d.U LPvt

, rZrrr&q?-;* n" " et*

: rLt"'k"

fu 4/ es'o< -t

oro"r--t /"

"

*rrr.(

Page 26: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

a

tr

=Zn q- Jo'tivl+ (-o'3te)

: A)7a s

t

O.riorT /*tL q+

o .rg j V

o"fA96

re/ -u"rl'

- {t'qt

'rt L'Lv

/21'"Jt

i= z*

Ir{ =

Tv=

Ctv

l/, = /.vg 6 tro'+ t + o, /3 oeI

\' luuf rqa\ + atlorl,ll? = t-rsr

,\3t:b Ia t?{}/-tB1 - l.rc

[= l.\tt-ft ry,40 tEqtlre,

"d'v- t*Zr. *.L ?l c-*r,ttu',r*.d4,y

+r Z 7 l^ary k ^.&d.-*( 'l- ex'{g,W4 *rny,? *1",d ryA4.

ef u.rhr* a^o.(fiftL , c-oot*eenrh <ht-'e. rbo- (-(-* (- *

r.?4 =/.rGT/ro.st

- i !"oV

;82fu

t r",/..t*JtX ,

,' tfoV

cfu<

Page 27: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

(;

,:t"f';o-t*", { e.--\ z,r,s,h,-1

{-n -)I Con7 (L u )n<n

16 ,-.,i?( b. 4 'lh ,',^1 , I <>>t ytvta'"0

f : ru-uo 6ua

l . flrilt"y Lb l''-' eA-

!,r^r--- 6,--' *"1"^.J- '%

% te,a-nzaJ4r: u d.

/r-*t 4 onft,".eeL 6'*4

dyf fr tt thle-

a v:zPz5[u,l rlql I 2.r,Irl' I

l"V^ J I "

'i {l'o t

- ; IzhJ

\-----Jr

5,u-bvl Cne^-:1

r

7tr--r.

Loa fZa *{"

\-..d

'1 e"xrsdTL#,fet A*''/

)

"4 .-an*t e*"1 ,

Page 28: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

&*rt'

L9

,F\ [

|-iIL.,

4b"

arg3

C,;e.asrs I y

+fl*l

{r, o'- f {r}

,hJ. J--Jf-'Lq+ *1a

*-4

Tr.

t)nf"n *L,f\"j'iL,-

cr^A .l't^'<.--,4-. va4X

T --vy(u-3) * Lrlt 1-

::- fftV,+ LuLtt ' * f,nZ

(Ek

?ut,y

T14

n+ to3u*-*tt')

V")

;'r tkt-

rhtl fr.aul \ '.ill:eal lr

*rn \ ll LTe

ZdAv

Page 29: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

fi-a &, /nu-^ b.^-, t

:'i fr r"l-

TLe*t

T/".-

f", Ilu Il.'ll*yl l=Luo'o J

,4-/-tl, *rti3

ril4l

].jtLb

{'*._

=) 2t^;(,.rzr-,) = \t^;)u.F "-

Z6 G */&na; u.uoL /"

J

or.tt/s-b.T

J., L

e_Et -4W{"

4"rS.tttZZj f

-rL ".,/ f

7 "*,

&tro*

CJ\

d*

/-

.^e{.

fu.

"//" n

^aal;

-'tL1 I{_l'l,' I

?t1th G.,t) Y^*, i

Z 62*4

tily

Page 30: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

'1

,l

t

V7= L|, 1,- -J d'

f=t'., It - -

,l^Jy- uec*l O '4'l.-

- -t t,; (r, - !J * &,1- (Tu:

* lt "r-i elr r. 16t - - f

-) .i .&rL_- * eu.J t*Uute-- e-'7 14

V. - V;: *6TUtL4

o!4

Qt ?.Lb "o T -t

o =zr.a,, * (ZJ,-fu)rr+ ' * (zJ-zLir; *

+t

=(zi,-Lu) 3r*- -f(b-q)\r t4*'-

c* tto^-,-r J- ^h.V*-4 t AJ

L) t'- -

(ur: * at LJ

-*\o(zlAJ1_-r rL(?z&{1'v)

./-^ . / |( LU r ! c't 4 U'1e44 )

ag.*\)tqt-f

+U,-LLPTL

Q-r. .* Z,"rib

h*rLQz

Page 31: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

t!vl

vI

.l

vy

\./0

0

't^-L;,@&

Zrr,i tno

*_

Tt6

ZrrS

:

jI

]*-- J

I

h, a:) ljctuJ liI

7' ,-21,,J,

r '/1,Cn *r ) )Z$e 4lq1

p) ?at Gdr)

j,b,),.,\.7

q\.Gt iq

.?, 6{9-'0,8

J

_J{

3uA

' ,e46 Ie.np &t{ fll \.1 3filt 5r' Yb%r

ls--%vtt-w

fu_ b,L

lav

J. a^e

4;

n

44

*) {n*9 j

Zu* 3+r6u_Zbt_

lvq

,rtl

{

I

l*J

fl.-J-a

Page 32: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

vr

\/L

v3

i/\

;,

fA u,"r,'rt-fu- s ( t' fit c^s u"-J

Ztt = jo,\lY -Wffi.:aW

NL

v.,= i,5vlY -iar323l

C,D

l,J

4"2- in,"??(-riTt = | v .'Jrvta J

*-j 4'9ze+

/urn,, ,

i o ,q wL x ;0"''

{ at . s2'6+

F t,5g?

Page 33: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

b"Lr"{,^r.db', "+ h*,

6f*^*V 1"* "/,*J9 ;*",,ontJy /Ur- ,frt ry 'o

3&^ i wtL a^e- +'"-''7'n*l*^"-"

Vq=4+^ ' o?^Q"€tb,tt)t

_T8**

d,,.-+

+

/Uoa6"t r,

^iJ,,o^urnn/ '16 6etzutz-1

,t-r*/t/

frrrn*-ot duc.,,.)* Vqi/<^n"*a Q- : r0l3

--

_^i

^ljoiL 3D' t)

Cus

,€A #e4

u6*roa "

,3

Page 34: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

,-;tl, o^rzr l,{V1= jr't'

f j'.,"-G) t

Lrr* ( *"n)-

1 &* @ ^^J

rj\..I'/b,t,,r,rro,-n = I i,'tl-t-t,tllr

@ ,5csf=-4ttj t.t 'Ql:1 )

l.{l^1tr'(u?r.

' lrr(r tq ! 'trlr2al.L I

J' 1J'z'-'--i t,z* 1o,JJ&r, *

e "r@ft lo a ";jl-5

L\,-(u,*,^,) t' [;*' ]u'f ro" JiY

lt,t 3t Ll- -:- -

t i: 'i.

jrt i:Jtt- \,t 1l Lrf-L r 'J'-' | :r u ti-ijr'j , -

I

ji.r c 3"s/?31

E"ro *(r/on/t

/lJrr,r; , u/o{,^,L-k,/

"*/

tr ,^d 6)

( c*',-g)

Ztu+Lb

Page 35: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

2,q.4,Lqv

Jt.z Kjt-L o *?tj3

JI .7 *jt-r-o-?L

,.,))o

\.t

l\

zr3= iLL-

?rr= J

t

?)-

Page 36: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

l

;,

.t\=

bg, tn-gP / -

f toi+?-

I :o',LLJo t.

U4r,t lr"lr,*@

t ,)11t,rr= at,- c3i

J=zla: 3

r"l,ItIIIT

I

It-

U,,

1a,7Lj ,,Ri o,O

I a/r

o ,'or,

'1

't11LrtZ= t4z- -lL

?VV * tb * tzr* Ls , -bvzl

'J

4l=I CI {5

',atf+j'nD'e LJ

J UR J",, \

1o. ? r* Jo'6

l; G iobo, tL j o,rl

j oaz

jejo '60

jc (''J'

"5

^e

ot3L'

* jffarc

II

I

Jja "aa

s 1 O'tZJ

='tOrt?*-1o'J

j o,o t1 oftr- t"

Itiit. r-f

6e

4vJ

l.i -10l"t**--""

"40,J

Page 37: {t9docs.neu.edu.tr/staff/timur.aydemir/power_syst_ana__part... · 2016. 9. 11. · F / _J ta.-,lYt

Iutt

3tt =

1ls=

io,41-J

i: 'r- r]o'' r

gO"oL

o"(5&

o-62'9

!)Jt r \ --U Vtryt t tru,^-'r I

.rJ 0- 6 96

io,6r<8

J o. (58t

j a6L9 a

j 0,6?5s

rv( j o6?4

jo

jo"

r81

r?rJCI

jox