CONCLUSION - C)l::- (SUPERVISOR) (DR. S.F.RAHMA.'i) SIGNATURE OF THE CANDIDATE (MD.

BHERAMARA

6.1. CONCLUSION

The demand for e1ectricity is increasing at a rate of about 15-20% every year in a deve1oping, country 1 ike Bang1adesh. To meet this increasing demand, the Bang1a- desh Power Deve10pment Board (BPDB) is insta11ing new powerp1ants. The schedu1ed important addition to the generating capacity by the year 1987/1988 are, 150 x 2 Hli at Ashuganj - 230 bus, 210 x 1 MW at Ghorasha1 - 230 bus and 50 x 2 MW at Kaptai bus. BPDB has a '1ong term p1an to increase' the" generating' 'capacity to about 2260 MW by' the year 1990.

Insta11ation of new p1ants changes the short-circuit 1eve1 at different buses of the net~ork. To determine the rating-of' thecircui t -bre,akers as we11 as the properly setting of the re1ays it is ~equired to ana1ysethe short circuit conditions of the wodified network. The information from the short circuit study is thus required to design an adequate protective re1aying system and to determine the interrupting capacities for circuit breakers at each switching 1ocation.

6.2

Previous~y the computer aided short-circuit study was ,done

oy

an iterative method using ZBUS. This required a

comp~ete iterative so~ution for each fault type and

~ocation. The procedure was time consuming.

The bus impedance matrix method is used here for short circuit calculations. The ZBUS of the BPDB network is formed in steps by taking one element at a time

~==by using "an"algorithm. This metllod is veryc'efficient and. require s minimum computer time. to .form.the ZBUS.

Also, the ZBUS' can be easi~y modified for any modificati,on in the network. To study the effect of opening of any line connected to the faulted bus, the related portions of the bus impedance matrix o~y is being modified. Therefore

this method ..for.the. short-circu:i:t calculations is very fastc'as"compared with the conventional method using ZBUS matrix, since-in the ~atercase the ZBUS

1S

to be computed by inversion of the YBUS at each time of opening the line

connected to the fau~ted bus. The algorithm used here for formation of ZBUS and for short circuit calculations of

the BPDB network, is considerably more efficient than other methods~ Consequently low cost short-circuit cal-

culation of BPDB network can be made to protect the system.

;

In this study, fault calculations are made for three phase to ground faults as well as for single line to

ground faults. From the results of the short circuit study it is seen that the short circuit MVA for 3-phase faui't is higher than that ljlf,single line to ground

fault at all the buses of the BPDB network except a few generating buses. The highest fault levelis 3917.1 MVA' at the bus -,Ashuganj - 230 fora single line to '"., cground ..faul t. Fault. levels' at',.a11cthebuses' were found

to be higher. for. the network of, the year 1987 as compared with the corresponding values for the year 1984. It is also observed that the fault level at any bus is decreased but the fault contributions in MVA from the connected

lines are increased when any line connected to the faulted bus is opened. For.a,3-phase fault at Siddirganj, the

fault level is 2415.7 MVA and contribution from Comilla (single line)'is .226.1 MVA and. the correspnnding values are 2155.8 MVA and 237.9MVA respectively when the line is opened at the Ghorashal - 132 bus.

The BPDB usually studies three-phase short-circuit at different buses of it~ network using a program developed for this type of short-circuit study. However in

some cases ( at some of the generating buses) the single line to ground fault determine the rating of the circuit

breaker. Moreover, in thA relay setting the fault curre- rits due to single line to ground fault is usually

utilized.: It may -a1so be mentioned that the BPDB follows the convehtional_a.pproa.ch (-the matrix inversion). The program developed here for short circuit calcu1ations will make available to Engineers much more information for protection -or 'the, existing network ,and luso for

pranning:' -a.nd-de-sign--of:-future--'e'x:tens,:Ltbns-c'of-'BPDB-network.

________ -.6.2---RECOMHENDATION __FOR_FURTHER iWRIt

Three phase-taults has a low frequency of occurrence, when compared to the other types of unsymmetrical ,,,,-c--,--'J~atll,ts.',TJieJ:'a"-a.X'e,,-,however-,-.-situa.ti-ons,when' a line to '---,,-,g-'rOt1nd--f'au:'\;-t~cause.s=-greater,.f'au,l-4;.~urrent-than a three-

phase:~fau1 t';-,::A'f>art::::fx:om,'thi:s,-unsymmetrical fault analy-

"si s- i:s'-'imp-ortant-'~6r-reJ;'ay=-setting.

In the program developed, the system conditions during the fault at any bus is studied for a 3-phase

to ground and single line to ground fault for opening any line connected to the faulted bus.

6.5

Further extension of this work can include the study of the following I

(1 ) Dou bl e Line to ground faul t • (2) Line to line faul t.

(3) Short circuit calculations with two or more lines opened after the occurrence of fault. The opened line s mayor may not be qonnected. to. the. faul ted biis~ -

(

1. Pai, .M.A.

Ref'erences

"Computer Techniques in Power System Analysis", Tata Mc.Graw-Hill Publi- shing Company Ltd. New Delhi.

2. Stevension, WiI.

liam, D.

Weedy, B.M.

4. Nagrath, I.J. and Kothari, D.P.

5. Coombe, L.W., and Lewis, D.G.

"Elements of' Power System Analysis", McGraw-Hill Kogakusha Ltd, Tokyo.

"Electrac Power Systems", John Wiley

&

sons, New York.

"Modern Power' System Analys~s" .•.Tata McGraw-Hill Publishing Company Ltd.

New Delhi.

"Digital Calculation of' Short-circuit Currents in Large Complex-impedance Networks", Trans. AIEE, Vol.75. pt.III.

pp.1J94-97. 1956.

6.

Martin I. Lantz.

Byerly. R.W.; long, C.J., Baldwin, Jr;

and king, C.".

"Digital Short-Circuit Solution of' Power System Networks Including Mutua!

Impedance". Trans. AIEE. Pt. III. pas Vol.76. pp.1230-35, February 1958.

"Digital Calculations of' Power System Networks Under Faulted Conditions".

Trans. AIEE; vol. 79, pt. III. pp.1277- 1281. 1980.

8. Brown, H.E., person, "Digital Calcu1ation of Three-phase C.E., Kirchmayer, Short circuits by Matrix Method", L.K., and stagg,K.lf.Trans, AIEE, V01.79, pt.III, pp.1277

1288, 1960.

9. E1-Abiad,AH.

1O. Md. Hamidu1 Haque

11. Md. Easin Khan

1 2. Towhid Ahmed Siddique

13. Puchstein; A.F.

Lioyd,

T.e.,

^and

Conrad, A.G.

14. Westing House E1ectrical Corpo-

r'ation.

15. Wagner, C.F. &

Evans, R.D.

"Digital Calculation of Line to

ground short circuits by matrix method" . AIEE Trans, 'Vol.79, pt. III, pp.323-32

1960.

"Transient stability study of mu1ti- machine power Systems". BUET~ MSc.

Thesis, 1983~

"Effect of speed Governor on Transient Stability of Multimachine power system".

BUET, M.Sc. ~e~is, 198?

"Digital Computer method of power system faU1t analysis "BUET, B.Sc.Engg.

Project.

"Alternating current Machines", John Wi1ey and Sons, New York.

"Electrical Transmission and Distri- bution Reference Book", Oxford

&

IBH Pub1ishing Company, Calcutta.

"Symmetrical Components".

.'

6.

^{Stagg,. G.}If., and El-Abiad,A.H.

17. Dy Liacco, T~E.

and K.A.Rama Rao.

18. Neuenswander,J.R.

19. Woodruff, L.F.

20. Clarke, Edith

"~omputer Methods in Power System Analysis", McGraw-Hill, Book Company, New York.

"Short Circuit Calculations for Multi- link Switching and End Faults", IEEE- Trans, Pas Vol.89, pp.1226 - 37, July/

August 1970.

"Modern Power System", International Test book Company, New York. 1971.

"Principles

of

Electric Power transmission " John Wiley and Sons, Newyork.

"Circuit Analysis of A.C.power System", John Wiley and Sons, New York.

A-1.

--- --~.

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Z~l 6,24}=-GwCOOq+JG.Ol04 III 5,32l=-O.C004+JO.0025 ll( 5.3c)=-O.u005+J'".).0G37 11{ 6, 41=-O.0009+JQwO'Jt,.5 Zl ( 6. u=-c.e005+JO.(dJ94 ll( c,12)=-O.0003+JO.~O~5 11 { 6,lb}=-O.~009+JG.0049

Zl ( o.2e) =-G.OOC3+JOwJ03c ZIt 6"3£J~-C.Cu..a4+JQ.OOlc lli .t,.36)=-O.OOO~+J~.OD27 Zll 7, ot)=-O.OC:D5*JO.C'J39 lie ~, £)~C.OOOl~JO.02G2 II{ 7t12J=-G.OOUl+JO.0095 Zll 7,lb)=-.G.0005.+JC.0042 Zl( 7,2(')= O.C002+JO.OIH'.

11 ( 7,24')= uwOCC4+JJ.016C lit ~+LEJ=-G.C003+JU.0074 .'Z11 "7,321=-0.00C'6"'JO"0039

Zlt 7.361=-0.ooce+J';;.0056 III 8t t,.)=-O.0005+Jti.OO"r1 III e.'~l= O.O~14~JO.C264 III 8,12)= O.0005+JO.OI23 Zl( "0,16)=-0.0':)05+JO.0044 Zll 8,20)= 0.(003+JO.0124 Zll 8,24)= ('.OC'15+Jlr.G198 III 8,2S)= O.'OClOl+"JO.0091 Zl.l B,32 1:- ~•.OOu6+jO". 0051 Zit 8.361=-O.0007+Ja~0076 _ ..III 9, 7J=-:.O.OODS"-t."JoJ.'0077

"211 $, S)= C.OOO~+JO.oJ169 Zll "~,~2J~_ O.Jog5+Jo.posa III 9,16)=-O.OC07+JO~OOe3 lIt 9,2C)= O.0011+JO~0230 .".-Zlt "9.L~)= "O.0021+J"O~0331 .Zll 9,2&)= C.O~02+JO.0069

lJ.1 9tjll=-O.~C03.JO .•0031 III =,31l=-C.OGO~.JO.002=

III 5.3:1=-:.OGCI+J~.0~55 III 6, 3)=-L.OOG9+J:.OO~6 2If 6, 11=-O.CO~3+JO.OIOl lit c:,ll}=-G.::CO"'+JJ.OCh III 6,15J=-L.Q~~9.J:.OG4C ZI( f,l~J=-C.(O~t.J~.CIGE

Zll 7,35}=-~.~OQ2+JC.COe=

III ~t27): C.;je,G,+JG.0095 Zll '>,31 )=-J.OO;:'3."J).(;D~Q III 7t15)=-0.0D06+J~.u035 Zll f".2.~ 1=-:'.OGIO+J:'.010E' ZI( 6,Z1)=-C.G003+J~.DJ~7 HI 6,31 }=-C.vCJt.+JG.GC.U:

Zll, 6.3~):-G.J003+J~.0841

Ll{ 8, 3J=-G~OOJ5+Jj.O~42 Zll 6, 7); G.OO~1+JG.0202.

Zl( S,11)=-D.OO~7+J~.OO~Q III a,lS)=-G.OOC6+J~.OC3&

111 7, 31=-:'.GDC5+JC.GD3Q

III 7, 7): O.•uD.ll--+J::'.0272 Zll 7,11)=-J.OCG7+J0.003C

ZIt 7,1~)=-~.COOC+Jj.:D93 Zll 7,23\: J.aG~3+J2.01=Q II( 7,~11= C.OCOl+jC.OlJ3 Zll ?,31)=-O.0006+J~~C03~

Zil &tl~}= O.OODD+JD.00ge Zll ~,2~)= O.OOI2+JO.0162

Zll ~,27)= ~.COC7+JO.D134 ll( j,3lJ=-O.Go:i+JJ.0050 lie &,3~'= O.QDy3+Ju.Olll II( 9, 3J=-D.0096+JO.OC7€

ZI ( '>, ⁷⁾⁼ D.OOOZ+JO.014.£

Zll 9tll)=-Q.OO~5+JJ.OC28 211 9t15)=-O.OC'09+Jc •.~D6e.

III 9,15J= C.OC;:;~+JO.Olel III 9, 2~); C.•.0035+JO.C376"

!OJ;'+JCi .•J(l37

~. Z ~-} =-J.DC.:::~ +J;::' ••QOc,')

-; ,1:":."--L ••...(;:.~ .•.J.:..0:.:')5 t,f2:'1=-~.C.:'l:-"'J:" .'::1:'~

c:~'-u.:rUL 3"'J'~ .•01 •..•1

~"~ .;:;-O.CO(,..t,.+J(:.C<:32:

O/~': :=-G.cr::.4-+J",.(,C24

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t,~~.=-G~0Cll~J~.~lZ7

f .l':1.::-C~:'GJ9+J').C~':'<.., o.l~I=-C.CC~~.JJ.~:l!

7 ~~_-O.~G~3+Js.~1,~

'1 :}~-~,CO~t+J:.2:33

'\ :

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L .~ {

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t.ZC.=-CuOOu3.J~.~Cb7.

~.~~;~'G,.0D~:~JJ.COS9 III 5~3ul::-0 .•;;C':;3"Jj • .;C~:;

l.ll ::,.3"J';-J.JD':'2~JJ • .J('14

~l. 5,20j= O.GCJ4+JO.Cl11

~_ ...•, ~ >=-C •...OOCi? .•.J:: .•CC'~'"

Zit 9, b1=-O.0010+JJ.0111 Zl( ~.•lOI= O.OGG7.J~.G227 III 9,1~)=-~.OOJ~+JJ.O~51 III SJlg~=-G.OOJc+J~.O~75 Ll{ 9,221= L.OO~e+JG_C34e

LI( ?,2cJ= ~.wu~~+J~.GI~6

III ~,~~I;-U.OO~l+J~.O~~~

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li.(l (. , 3 S I= :;"00::'3 .JO .0:: 7::' .11(lO,

~c:.

J=-;~

~'?~~~:::J

J;^~OD~o' 2lti1, 31=-J.000Z+JO.D006 ll(11, 4)=-Q.G002~JO.ODOb.

71(11, b]=-O.0007+JO.004C 11(11, 9)=-O.OOOS-JJ.OC26 II(11'.1'2) ;70. C(.lS+,JO .011 a 'Zl I 11 ,13) =-C .O(,23+J:J. 00 69

Z 1 (11,16 J=-C.OO~:2 +JO •.OOO7 . Z 1 (11 ,111 =-0 .QCoG2+JO. 0006

Zllil~2C]~~O~~004~JQ.D026,'.ZICl1.21,=-o.aOQs.JO.0031 UII i^,.24

i

~'-D.;c~

5' +~o:

^0'635' ^{Z1 (11,25} ^).=-0. oo~⁷^+JO. ^Ov••.S

Z1111,2£ /;"C' .uGo'i

~'J~.

^o~'qS~ ^lLC ^{11 ,. 29)} ⁼ o. 00 ~c +JO. C3 7 2

Zl(lC.171=-O.G009+JO.OO~6' ZlllC,2l)= O.OOOo-JO.0220

~Zl(lO,251= o.or10 .•JC.0165 21(lG,291=-o.onoc+JO.vOS3

~1~1~~3i)=-o;G&aZ"JO.OD43 Zl(lO,37J=-O.OOO~+JO.004q 1111'I, 51=~O.COO'+JO.OPI9 III 9,,311=--O.0004"JO.0053 '..ZlCIG, 5)=-O.OOO~+JO~0172

ZlIIG, 9)= G.coa7+JO.02Z7 III q,~t)=-O.0004+~0.0054

.'

. .

Zl(lC,.,~1::'-C:OG09!~~.o655 ZlllO, BI= O;C~lO!J~.C166

!~IIO,16J::.-O.?~~~+JO.0060 Zl(lO,2G)=~O;000J+JO.016e ZlI10;~4)= C.OOOS .•J~.0205 l\I]O,l'S)-= Q.C(I(afoJJ.O:'el, l'l {~O, 3~'J =-o.\)(l(n'iJo;.~D03';'

Zll11, 15.)=-j .;jO(".{.Jc..U006 Zltll,l?)=-;.CC04+JQ~O~lb llI11,2)1=-G.OO~5foJ:.JD31 IlCll. 7)=-G.~O:7.JJ.C2~C

ZlI11,211=-:.O~lC+Jj.015~

!lliC,~11:-C ••O('~3.J:.OtJ3 :L.L (~), 1,' 1::.-: •t'J':'3 .•J::' •:132 llli(',Z,31= ~.~lCGf,"J~.•. 02l!l llrl~.:7)::.Q~06+J0~OCeS III 9.351= ~.~0~4+JJ.OJ19 Zl(lJ, 31=-:.aO:'9.J:.OJ56 llll:', 71= :'.• OC')3 •.JO.C144

llI1:.1:l=-~~~OC9fJ:.G~~~

'Z:i.{:i.l,lll= :;~'O(3e"J:::.t,;5c2 .u ~;=-O~~O:~.J~.~:;4

~':HhZ2}'= O.•~O'::'=+JC.('2:1':'

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.:.~ G.0027.J)~Cl,L

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11\1:t33)=-J.UC~2+JJ.~~;~

_.. 'J.3~}..: u,,"OOJ1.J~.C:C5f;

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i~lll,l~J=-O.COC~ 016

Zll q'13~'= 0.OOOI.JO.C063

!~:1!r22i~-~.OOD5.JC•.OCj~

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Z1'12,17)=~O.OC03+Ju.0021 Jl(12,13)=-O.OOC~.Jc.oitia

Z1(12, .ZU 12, Zlt12, 4J=~O.G~C3.JO.0021

.Z~'llZ"..~!.~~o:~o~5~.io~o1~3-

2.1111,32)-= ..v.OO.2~ .•.JO.~.S:.08 ZltII,3))-= O.CC2C'+JO.i)l,.46

'i1 (lY; 36.i;.:..o ••..o::i~?;.J~c.~'6c'e6.~'"Z 1-( 11 ,3"7)=-0 ~'0023 ';jo • O'v'6~

Il(14,111=-:;.0015+J~"Ol?B . Zl(l2 .•121~ 'O.1)C!7,3+~O •.C54'1 Zl[12.1S)=-0.DCO].JJ.OOlS'

!1111,3~1~ :.~C29.J~.0512 Z(lll,?~)=-t •.0dJ5+JO.J2j2 21112, ~)=-:.JO:3+JO.0021 1111:, 7)=-~.OO~1+J~.O~95

iL OO.J::..•..JO •.:!1 02

CJ~0014 .• JO •.0291 ..~~:~COJ3~J3.:~2~

~.~-C.C~V3+J0.CCl1

~. --O.~~03~~1~OJ4~

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"l" l'

Jl{~i.':.=~O.OC1~+J:.C25q

2,!.::2',::O :,;, .• , •. .f^j

.l.3~ j':: C.OC'19""J,).~ .••.Jo'

l.1!:1 ).- C~OD04.•.:JC••coel

.' ...

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^_.-

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Z 1112 .16) =';'0" ;0003:+:JO'.0022

...

^'^- ~.

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.' :"':. _~',?r';7 ..•..JU..C390 .. Zll l...2,35)= ::'.0061-J'~.O~.90:_ ;Zll12.,3:i)=-:-'o~0'o.:t6'i-;o'~'02.~13'''•...•..~Z.1(l-i.3,71=-.O~D~,12.JOfo02.65 ',: ;" i .' ...0: ,.~. ....;. •••

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:;ln~,

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Ou.bO;<_ -f!

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11t13.3 ••.J='-6~Cia1••..,JiJ.nzol .l

i

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o _O'')C''I.;;-Jo.cn49

'f_ '.:",: o_.!),ciG0S',JG .••G060

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Zl(15,211=-O.0009~J~.0064 L111~,25J=-O.JOD6+Jv.0037 Zl(15,29J=-O.0003+jO.OC12

lIf16. 91=-O.0007+JO.0083 .11116,13t=-O.0003+JG.0014

"21(16,17)= G.0050 .•.JO.0624 Zl(16,21)=~G.0008+JO.OG16

!1(16,25J=-O.0005 .•.JO.OO~5 Zl('16,291=-O.0003 .•.JO.OOl~

Zl(16,Z8)=-O.D003~JO.OD11 II(lb. elc-O~0005+JO.0044 ll(16,121=-0.CD03+JO.0022 llI1c,161= C.0063+JO~0666 ZI116,201= O.C005+JO.0201 11t15,2v 1=-D.0003.JO.D166 Zl(15,L4)=-O.~OOq+JJ.0(l57 Zl(15,28)=-O.C~C3+JD.OC14 Zl(15,1~t= O.CO~~+JJ.n552 ll(14, 4J~-G.~C03+J~.u012 11(14, 8)=-O.0006+JO.0012 ZlI14,121=-a.D013~Ja.0259

Zlt14!16)=-G.G003+JO.0013 ll(14,20)=-o.or05+JO.Ou3c 11114~24)=-0.OC04 .•.JD.0063 Z1t14,2S)=-0.GD16.JO.OZ03 11114,32J=-C.CGZZ+JO.ul07 Ilfi4,3c)= O.0238+JO.1369 Il tl~, 41= (J.'Jv2Z+JO •.0537 tl(15, $)=-O.OC06+JO.0036 ll(1=,12J=-C.GO~3+JJ.OOIE

IlI15,32)=-O.OOOZ.•.JO.0007 Zl(15~331=-O.0002~JO.0009 llI15,30)=-O.0003+JO.OOll Zl(1~,311=-O.0003+JO.OOll Li~16, 4)= G.004S .•.JO.0620--'-.lH16, 5J=-O.D007+JO.D066

21(16,32)=-O.0002+JO~POO~ ZlI16,331=-O.0002+JO.0012

11(16,36) =-0.v003 •.JO~00 13 "..Zl( 16~3! J =-0 .oo03+JO. 0013 ZUI7, 41= O.00_60+_-:'.~~0673 .Zl~17, 5):::-~.OOl?8~JO.0061 Zl07., Bl=-O~"0005+_jO.0041 ',z1'117, '91;:""O.'OOOBf-JC.0017' 21 (17,12 I=-0. 0003+JO~'002l." '-2ft I?,'1-3)=-O~0003+JO. 00 13

... .- .-,.._' .'--._--_....---,_....^- ....--- '.- -_.

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o.

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i

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.

ll(18, 6'~-C.D005~jO.004C' 'tl,i1!, "9J=-000002+JO.OG15 .ll(lc,2~1=-~.D008+JD.0069

11115,19)= ~.JGJ7.J~.C2S4 Zl'1~~23J=-C.0r~9.JC.C~b~

l1115, 1~=-G.~rC6+J0.0~35 Zl(l~, ~)= G.00Z1.JG.r~i2

Z1115,111=-~.COJ2+JJ.~DJf Zl{1~J15)= 0.C~7C .•.JJ.Jl~1 lltl~, J)=-u.~Ou3+JG.a012 Zl114, 7)=-Q.GC:~+JJ.O~5~

ZI(14,11)=-~.0023+J~.0282 Zl(14,15J=-O.~O:3+J~.O(.lO ZI114,19)=-O.OC0~+JC.uG2~

Zl{14,23)=-C~00')~+JJ.OC56 Zl~14,27t=-O.OCIC+JJ.G2~2 Zli14,~11=-~~nrtZ+JG.wl(, 11{14,351=-r.on15+JJ.~23~

Zl(1'5,271=-O.CC~3.JG.:OZC

!1(15,311=-u.OOC2+JJ.0007 Zl(15,351=-:.OO:3~Jo.or16

Zlllc, 7J=-~.:C~~+JO.O~42

~1116,11J=-u.uOU2+JO.~Ou7

~lJ16,151= Q_OC29+JO.C~S2 11(161191= G.OC2~+JQ.0355

_"l~"::~ 7}=_~~ ~'1:'1::: ',: :,,:136 llll!:, 3)= :.oc;.~~I+JC'.C.\~97 Zl(1(,231=-:.D0uc+JG.G077

Zlt16,27J=-C.OC02+J~.002~

. ZlI16.31J=-D.0002+JJ.JOOQ 21~lb,3S)~-u.D083+JJ.OC20

.lIP)' '31= D.'-OO~t-+J.).O~,18 '.Zltl?, 71=-o4bo05+J~.GQ3Q'

~~I11.11)=-o.o6~2+ja.?006 "

Zl(11,~5)= ~.0026.JO.056C

.'II(-i7,19)= D.0015+JQ.0333.' Zl(17~23J=-~~OCOR.J3.G012 Zit17,211=~:.~003.J8.0C23 ..-Zl(17,31'):~~.OO~2+Jc.oooe

ll(17t3:.)=-j.D(l::.j'~J: .0019 .. _~G'.i-,JO ••GJ:..9

;C2S-.J::~0614 ',;C'jl,-.-.:0.•0060

.C'SO'?.••.J.:. ..•^GO't^Q

~"OCll"":J,,,Oio::

~;.j:'<r'7."J:-vvQ4.0

.--C_0~~.3.:J8.~:)lO ':'02'') >JO ••CS 70

J_' '~:-O'.JO ,(.210 . --J. Qr,2~'\-J(' •.Clol..'J

-, ^.

u rDD3+JJ.0013 ..:.~~OU44.JO.Ob05

0'_O'J.22 .~JO .0543 , .:;..•../ ,"'';0" 0045 LIt .i.", ,.1.•.•,.o;.-u.lJOO<;l .•..;G.0056-

-

i,~.~J.~-O.LCO~4JJ.0012 -:i:.io,3.'..:=:-O.OC'Q3+JO.OOle

=.-~_JC~5+J~;~026 7. ,1;,.:";;;.;:~.;;~JOG2 .•.JO.0010

J _ =-~ OQ03~JC.OOI3

--.~.{,

Z 1 ~ 11"1 2? J :;--_o,,'-OO:i9+JG .0367

~1';1-.'.2,!~-C.OOJ4+Jo.~63D .11t.3J:=-a~~TI82+Jo.nOll 11t11.)~).=-C.UO::3-+J~.OCI5 1111t, 2)= c.cr2!.J:.OSb~

• - - .-;..-'_":1"uJ4l., Zl(17,14l=-D.QOa3~~a.0012, li;ll,lR:= d.~011.J~~0116

Zi\l~, ~)=-~.GO~3+Jj.uOl0

~1:l4, tl=-G ..00J6+J~.~~2f .\~C.~'-J.~C:~~JC_Ca47

~. .= ~_~53!y.!J.2391 J:~-O.OCJ3.JJa~~11

Dalam dokumen C)l::- (SUPERVISOR) (DR. S.F.RAHMA.'i) SIGNATURE OF THE CANDIDATE (MD. (Halaman 131-160)