uts matlab ila

8/17/2019 Uts Matlab Ila

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Contoh 1.1

Suatu diagram segaris system tenaga listrik tiga bus seperti ditunjukkangambar 1.5 dengan pembangkit pada bus 1. Harga tegangan pada bus 1diatur sampai 1,05 pu. Beban pada bus 2 dan 3. Impedansi-impedansisaluran dalam satuan per unit pada dasar 100 M!, dan untuk suseptansi

muatan pada saluran diabaikan. "entukan aliran daya dan rugi-rugi dayadengan met#de$

a. %auss-Seidelb. &e't#n (ap)s#n*. +ast e*#upled

Penyelesaian:

A. DENGAN METODE GAUSS-SEIDEL

disp(' ')disp('___________________________________________________________________' )disp(' ')disp(' STUDI ALIRAN DAYA PADA SISTEM 3 BUS ')disp(' DENGAN PENYELESAIAN METODE GAUSS-SEIDEL ')disp(' OLEH : ISMAIL RUMATUMIA ')disp('__________________________________________________________________ ')disp(' ')% Dasa !"" M#A$psi& """""!*+ !*% Da,a ip$dasi pada sa.a:

/!0 ""!1 2 4""5*/!3 ""! 2 4""3*/03 ""!01 2 4""!!1*% Adi,asi pada sa.a:6!0 !7/!0*6!3 !7/!3*603 !7/03*% B$8a daa p$ .i,:S0 -(019!1 2 4!!"0)7!""*S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saCi$ + $psi&i,$ i,$ 2 !*


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#=0


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% A.s pada sa.a :I!3 6!34(#!-#3)*I3! -I!3*I03 6034(#0-#3)*% &.;a, dai a.s pada sa.a :I=!3 Ci$ + $psi&i,$ i,$ 2 !*#=0


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I!3 6!34(#!-#3)*I3! -I!3*I03 6034(#0-#3)*I30 -I03*% &.;a, dai a.s pada sa.a :I=!0


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#=0


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,C$,a03 a,a0(ia;(Y03)$a(Y03))*,C$,a3! a,a0(ia;(Y3!)$a(Y3!))*,C$,a30 a,a0(ia;(Y30)$a(Y30))*,C$,a33 a,a0(ia;(Y33)$a(Y33))*% B$8a daa p$ .i, :S0 -(019!1 2 4!!"0)7!""*

S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saa .,.= :d$,a0 "*d$,a3 "*i,$ "*disp(' ')

disp('___________________________________________________________________' )disp('? ? ? ?')disp('? ? DAYA PADA ? ALIRAN DAYA PADA SALURAN ?')disp('? ITERASI ? SLA@ BUS ? ?')disp('? =$ ? (B.s !) ? ?')disp('? ?-----------------------------------------------------?')disp('? ? S! ? S!0 ? S0! ?')disp('___________________________________________________________________' )disp(' ')&a, sC&, ;>Ci$ + $psi&i,$ i,$ 2 !*% Ha;a


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(!0) -(a8s(#0)4a8s(#3)4a8s(Y03)4sd)*(!3) (a8s(#!)4a8s(Y0!)4sd!)2(04a8s(#0)4a8s(Y00)4sd0)2(a8s(#3)4a8s(Y03)4sd3)*(!5) a8s(#0)4a8s(Y03)4sd3*(0!) -(a8s(#3)4a8s(#0)4a8s(Y30)4sd!!)*(00) (a8s(#3)4a8s(#!)4a8s(Y3!)4sd!")2(a8s(#3)4a8s(#0)4a8s(Y30)4sd!!)*

(03) a8s(#3)4a8s(Y30)4sd1*(05) (a8s(#!)4a8s(Y3!)4sd5)2(a8s(#0)4a8s(Y30)4sd1)2(04a8s(#3)4a8s(Y33)4sd9)*(3!) (a8s(#0)4a8s(#!)4a8s(Y0!)4sd!)2(a8s(#0)4a8s(#3)4a8s(Y03)4sd3)*(30) -(a8s(#0)4a8s(#3)4a8s(Y03)4sd3)*(33) -(a8s(#!)4a8s(Y0!)4sdK)-(04a8s(#0)4a8s(Y00)4sd)-(a8s(#3)4a8s(Y03)4sd)*(35) -(a8s(#0)4a8s(Y03)4sd)*(5!) -(a8s(#3)4a8s(#0)4a8s(Y30)4sd1)*(50) (a8s(#3)4a8s(#!)4a8s(Y3!)4sd5)2(a8s(#3)4a8s(#0)4a8s(Y30)4sd1)*(53) -(a8s(#3)4a8s(Y30)4sd!!)*(55) -(a8s(#!)4a8s(Y3!)4sd!")-(a8s(#0)4a8s(Y30)4sd!!)-(04a8s(#3)4a8s(Y33)4sd!0)*

% Sisa da6a p&>$ (P&>$ $sid.a) :d$,aP0 $a(S0) - P0*d$,aP3 $a(S3) - P3*d$,a0 ia;(S0) - 0*d$,a3 ia;(S3) - 3*% Sisa da6a (p&>$ $sid.as) daa 8$,.= a,i=s =&& :d$,aS Fd$,aP0* d$,aP3* d$,a0* d$,a3*% P$Ci,.;a Ca;a ,$;a;a da s.d., ,$;a;a pada 8.s 0 da 3 :d$,a d$,aS*d$,a0 d$,a0 2 d$,a(!!)*d$,a3 d$,a3 2 d$,a(0!)*#0 #0 2 d$,a(3!)*E3 (#3 2 d$,a(5!))*

% T$;a;a daa 8$,.= 8ia;a =&p$= pada 8.s 0 da 3 :#=&0 a8s(#0)4(


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$psi& """""! *+ !*% Da,a Ip$dasi pada sa.a :/!0 ""!1 2 4""5*/!3 ""! 2 4""3*/03 ""!01 2 4""!!1*

%Adi,asi pada sa.a :6!0 !7/!0*6!3 !7/!3*603 !7/03*% Adi,asi Y8.s :Y!! (6!0 2 6!3)*Y!0 -6!0*Y!3 -6!3*Y0! Y!0*Y00 6!0 2 603*Y03 -603*Y3! -6!3*Y30 -603*

Y33 6!32603*% P$8$,.=a s.d.,:,C$,a!! a,a0(ia;(Y!!)$a(Y!!))*,C$,a!0 a,a0(ia;(Y!0)$a(Y!0))*,C$,a!3 a,a0(ia;(Y!3)$a(Y!3))*,C$,a0! a,a0(ia;(Y0!)$a(Y0!))*,C$,a00 a,a0(ia;(Y00)$a(Y00))*,C$,a03 a,a0(ia;(Y03)$a(Y03))*,C$,a3! a,a0(ia;(Y3!)$a(Y3!))*,C$,a30 a,a0(ia;(Y30)$a(Y30))*,C$,a33 a,a0(ia;(Y33)$a(Y33))*% B$8a daa p$ .i,:S0 -(019!1 2 4!!"0)7!""*

S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saa .,.= :d$,a0 "*d$,a3 "*i,$ "*disp('___________________________________________________________________' )disp('? ? ?')disp('? ? ALIRAN DAYA PADA SALURAN ?')disp('? ITERASI ? ?')disp('? =$ ?-----------------------------------------------------?')disp('? ? S!3 ? S3! ? S03 ?')disp('? ? ?')disp('___________________________________________________________________' )disp(' ')&a, sC&, ;>Ci$ + $psi&i,$ i,$ 2 !*% Ha;a


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sd0 $ $sid.a) :d$,aP0 $a(S0) - P0*d$,aP3 $a(S3) - P3*d$,a0 ia;(S0) - 0*d$,a3 ia;(S3) - 3*% Sisa da6a (p&>$ $sid.as) daa 8$,.= a,i=s =&& :d$,aS Fd$,aP0* d$,aP3* d$,a0* d$,a3*% P$Ci,.;a Ca;a ,$;a;a da s.d., ,$;a;a pada 8.s 0 da 3 :d$,a d$,aS*d$,a0 d$,a0 2 d$,a(!!)*d$,a3 d$,a3 2 d$,a(0!)*#0 #0 2 d$,a(3!)*E3 (#3 2 d$,a(5!))*% T$;a;a daa 8$,.= 8ia;a =&p$= pada 8.s 0 da 3 :#=&0 a8s(#0)4(


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I!3 6!34(#!-#=&3)*I3! -I!3*I03 6034(#=&0-#=&3)*% &.;a, dai a.s pada sa.a :I=!3


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% Es,iasi d$,a a>a .,.= :d$,a0 "*d$,a3 "*i,$ "*disp('___________________________________________________________________' )disp('? ? ? ?')

disp('? ? ALIRAN DAYA ? RUGI-RUGI DAYA PADA SALURAN ?')disp('? ITERASI ? PADA SALURAN ? ?')disp('? =$ ?-----------------------------------------------------?')disp('? ? S30 ? SL!0 ? SL!3 ?')disp('? ? ?')disp('___________________________________________________________________' )disp(' ')&a, sC&, ;>Ci$ + $psi&i,$ i,$ 2 !*% Ha;a


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(50) (a8s(#3)4a8s(#!)4a8s(Y3!)4sd5)2(a8s(#3)4a8s(#0)4a8s(Y30)4sd1)*(53) -(a8s(#3)4a8s(Y30)4sd!!)*(55) -(a8s(#!)4a8s(Y3!)4sd!")-(a8s(#0)4a8s(Y30)4sd!!)-(04a8s(#3)4a8s(Y33)4sd!0)*% Sisa da6a p&>$ (P&>$ $sid.a) :d$,aP0 $a(S0) - P0*

d$,aP3 $a(S3) - P3*d$,a0 ia;(S0) - 0*d$,a3 ia;(S3) - 3*% Sisa da6a (p&>$ $sid.as) daa 8$,.= a,i=s =&& :d$,aS Fd$,aP0* d$,aP3* d$,a0* d$,a3*% P$Ci,.;a Ca;a ,$;a;a da s.d., ,$;a;a pada 8.s 0 da 3 :d$,a d$,aS*d$,a0 d$,a0 2 d$,a(!!)*d$,a3 d$,a3 2 d$,a(0!)*#0 #0 2 d$,a(3!)*E3 (#3 2 d$,a(5!))*% T$;a;a daa 8$,.= 8ia;a =&p$= pada 8.s 0 da 3 :#=&0 a8s(#0)4(


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603 !7/03*% Adi,asi Y8.s :Y!! (6!0 2 6!3)*Y!0 -6!0*Y!3 -6!3*Y0! Y!0*

Y00 6!0 2 603*Y03 -603*Y3! -6!3*Y30 -603*Y33 6!32603*% P$8$,.=a s.d.,:,C$,a!! a,a0(ia;(Y!!)$a(Y!!))*,C$,a!0 a,a0(ia;(Y!0)$a(Y!0))*,C$,a!3 a,a0(ia;(Y!3)$a(Y!3))*,C$,a0! a,a0(ia;(Y0!)$a(Y0!))*,C$,a00 a,a0(ia;(Y00)$a(Y00))*,C$,a03 a,a0(ia;(Y03)$a(Y03))*,C$,a3! a,a0(ia;(Y3!)$a(Y3!))*

,C$,a30 a,a0(ia;(Y30)$a(Y30))*,C$,a33 a,a0(ia;(Y33)$a(Y33))*% B$8a daa p$ .i,:S0 -(019!1 2 4!!"0)7!""*S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saa .,.= :

d$,a0 "*d$,a3 "*i,$ "*disp('______________________________________________' )disp('? ? ?')disp('? ? RUGI-RUGI DAYA PADA SALURAN ?')disp('? ITERASI ? ?')disp('? =$ ?--------------------------------?')disp('? ? SL03 ?')disp('? ? ?')disp('______________________________________________' )disp(' ')&a, sC&, ;>Ci$ + $psi&i,$ i,$ 2 !*% Ha;a


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SL03 S032S30*+ a8s(E3-#3)#3 E3*pi,('%i' i,$)disp(FSL03)$ddisp('______________________________________________' )

C. DENGAN METODE FAST-DECOUPLED

disp(' ')disp('___________________________________________________________________' )disp(' ')disp(' STUDI ALIRAN DAYA PADA SISTEM 3 BUS ')disp(' DENGAN PENYELESAIAN METODE QAST DE@OUPLED ')

disp(' OLEH :ISMAIL RUMATUMIA ')disp('___________________________________________________________________' )disp(' ')% Dasa !"" M#A$psi& """""!*+ !*% Da,a Ip$dasi pada sa.a :/!0 ""!1 2 4""5*/!3 ""! 2 4""3*/03 ""!01 2 4""!!1*%Adi,asi pada sa.a :6!0 !7/!0*6!3 !7/!3*

603 !7/03*% Adi,asi Y8.s :Y!! (6!0 2 6!3)*Y!0 -6!0*Y!3 -6!3*Y0! Y!0*Y00 6!0 2 603*Y03 -603*Y3! -6!3*Y30 -603*Y33 6!32603*% P$8$,.=a s.d.,:,C$,a!! a,a0(ia;(Y!!)$a(Y!!))*

,C$,a!0 a,a0(ia;(Y!0)$a(Y!0))*,C$,a!3 a,a0(ia;(Y!3)$a(Y!3))*,C$,a0! a,a0(ia;(Y0!)$a(Y0!))*,C$,a00 a,a0(ia;(Y00)$a(Y00))*,C$,a03 a,a0(ia;(Y03)$a(Y03))*,C$,a3! a,a0(ia;(Y3!)$a(Y3!))*,C$,a30 a,a0(ia;(Y30)$a(Y30))*,C$,a33 a,a0(ia;(Y33)$a(Y33))*% E$$-$$$ a,i=s s.s$p,asi .,.= $;$a.asi s.d., asad$,a_d$,a 0 da d$,a 3 :B!(!!) ia;(Y00)*B!(!0) ia;(Y03)*B!(0!) ia;(Y30)*

B!(00) ia;(Y33)*% Ma,i=s i$s dai B' :8! B!-!*


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% Ha;a B :B0 Fia;(Y00)*% B$8a daa p$ .i, :S0 -(019!1 2 4!!"0)7!""*S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saa .,.= :d$,a0 "*d$,a3 "*i,$ "*disp(' ')disp('___________________________________________________________________' )disp('? ? ? ?')

disp('? ? DAYA PADA ? ALIRAN DAYA PADA SALURAN ?')disp('? ITERASI ? SLA@ BUS ? ?')disp('? =$ ? (B.s !) ? ?')disp('? ?-----------------------------------------------------?')disp('? ? S! ? S!0 ? S0! ?')disp('___________________________________________________________________' )disp(' ')&a, sC&, ;>Ci$ + $psi&i,$ i,$ 2 !*% Ha;a


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d$,a3 ia;(S3) - 3*% P$Ci,.;a s.d., ,$;a;a pada 8.s 0 da 3 :d$,a -8!4Fd$,aP07a8s(#0)* d$,aP37a8s(#3)*d$,a0 d$,a0 2 d$,a (!)*d$,a3 d$,a3 2 d$,a (0)*% p$Ci,.;a Ca;a ,$;a;a pada 8.s 0 da 3 :

# -(!7B0)4Fd$,a07a8s(#0)* d$,a37a8s(#3)*#0 #0 2 #(!)*E3 #3 2 #(0)*% T$;a;a daa 8$,.= 8ia;a =&p$= pada 8.s 0 da 3 :#=&0 a8s(#0)4(


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,C$,a!3 a,a0(ia;(Y!3)$a(Y!3))*,C$,a0! a,a0(ia;(Y0!)$a(Y0!))*,C$,a00 a,a0(ia;(Y00)$a(Y00))*,C$,a03 a,a0(ia;(Y03)$a(Y03))*,C$,a3! a,a0(ia;(Y3!)$a(Y3!))*,C$,a30 a,a0(ia;(Y30)$a(Y30))*

,C$,a33 a,a0(ia;(Y33)$a(Y33))*% E$$-$$$ a,i=s .,.= $;$a.asi s.d., asa d$,a_d$,a0 dad$,a 3 :B!(!!) ia;(Y00)*B!(!0) ia;(Y03)*B!(0!) ia;(Y30)*B!(00) ia;(Y33)*% Ma,i=s i$s dai B':8! B!-!*% Ca;a B :B0 Fia;(Y00)*% B$8a daa p$ .i, :S0 -(019!1 2 4!!"0)7!""*

S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saa .,.= :d$,a0 "*d$,a3 "*i,$ "*disp('___________________________________________________________________' )

disp('? ? ?')disp('? ? ALIRAN DAYA PADA SALURAN ?')disp('? ITERASI ? ?')disp('? =$ ?-----------------------------------------------------?')disp('? ? S!3 ? S3! ? S03 ?')disp('? ? ?')disp('___________________________________________________________________' )disp(' ')&a, sC&, ;>Ci$ + $psi&i,$ i,$ 2 !*% Ha;a


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Y!3 -6!3*Y0! Y!0*Y00 6!0 2 603*Y03 -603*Y3! -6!3*Y30 -603*

Y33 6!32603*% P$8$,.=a s.d.,:,C$,a!! a,a0(ia;(Y!!)$a(Y!!))*,C$,a!0 a,a0(ia;(Y!0)$a(Y!0))*,C$,a!3 a,a0(ia;(Y!3)$a(Y!3))*,C$,a0! a,a0(ia;(Y0!)$a(Y0!))*,C$,a00 a,a0(ia;(Y00)$a(Y00))*,C$,a03 a,a0(ia;(Y03)$a(Y03))*,C$,a3! a,a0(ia;(Y3!)$a(Y3!))*,C$,a30 a,a0(ia;(Y30)$a(Y30))*,C$,a33 a,a0(ia;(Y33)$a(Y33))*% E$$-$$$ a,i=s s.s$p,asi .,.= $;$a.asi s.d., asad$,a_d$,a 0 da d$,a 3 :

B!(!!) ia;(Y00)*B!(!0) ia;(Y03)*B!(0!) ia;(Y30)*B!(00) ia;(Y33)*% Ma,i=s i$s dai B' :8! B!-!*% Ha;a B :B0 Fia;(Y00)*% B$8a daa p$ .i,:S0 -(019!1 2 4!!"0)7!""*S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saa .,.= :d$,a0 "*d$,a3 "*i,$ "*disp('___________________________________________________________________' )disp('? ? ? ?')disp('? ? ALIRAN DAYA ? RUGI-RUGI DAYA PADA SALURAN ?')disp('? ITERASI ? PADA SALURAN ? ?')disp('? =$ ?-----------------------------------------------------?')disp('? ? S30 ? SL!0 ? SL!3 ?')disp('? ? ?')disp('___________________________________________________________________' )disp(' ')&a, sC&, ;>Ci$ + $psi&i,$ i,$ 2 !*% Ha;a


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$ddisp('___________________________________________________________________' )disp(' ')disp('')disp('? LANUTAN III ?')disp('')

% Dasa !"" M#A$psi& """""! *+ !*% Da,a Ip$dasi pada sa.a :/!0 ""!1 2 4""5*/!3 ""! 2 4""3*/03 ""!01 2 4""!!1*%Adi,asi pada sa.a :6!0 !7/!0*6!3 !7/!3*603 !7/03*% Adi,asi Y8.s :Y!! (6!0 2 6!3)*

Y!0 -6!0*Y!3 -6!3*Y0! Y!0*Y00 6!0 2 603*Y03 -603*Y3! -6!3*Y30 -603*Y33 6!32603*% P$8$,.=a s.d.,:,C$,a!! a,a0(ia;(Y!!)$a(Y!!))*,C$,a!0 a,a0(ia;(Y!0)$a(Y!0))*,C$,a!3 a,a0(ia;(Y!3)$a(Y!3))*,C$,a0! a,a0(ia;(Y0!)$a(Y0!))*

,C$,a00 a,a0(ia;(Y00)$a(Y00))*,C$,a03 a,a0(ia;(Y03)$a(Y03))*,C$,a3! a,a0(ia;(Y3!)$a(Y3!))*,C$,a30 a,a0(ia;(Y30)$a(Y30))*,C$,a33 a,a0(ia;(Y33)$a(Y33))*% E$$-$$$ a,i=s s.s$p,asi .,.= $;$a.asi s.d., asad$,a_d$,a 0 da d$,a 3 :B!(!!) ia;(Y00)*B!(!0) ia;(Y03)*B!(0!) ia;(Y30)*B!(00) ia;(Y33)*% Ma,i=s i$s dai B' :8! B!-!*% Ha;a B :B0 Fia;(Y00)*% B$8a daa p$ .i,:S0 -(019!1 2 4!!"0)7!""*S3 -(!30 2 451!10)7!""*% B.s ! s$8a;ai saa .,.= :d$,a0 "*d$,a3 "*i,$ "*


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I=30

uts matlab ila

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