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Metode Gauss-Seidel Zbus:
Listing Program:
%daya beban (VA)
s1= -100-20i;
s2= -100-20i;
s3 =-90-40i;
s4 = -80-30i;
s5 = -80-60i;
s6 = -100-75i;
s7 = -60-40i;
s8 = -90-40i;
s9 = -50-15i;
s10 = -70-30i;
s11 = -70-30i;
s12 = -90-40i;
s13 = -90-40i;
%daya beban conjugate
sc1 = conj(s1);
sc2 = conj(s2);
sc3 = conj(s3);
sc4 = conj(s4);
sc5 = conj(s5);
sc6 = conj(s6);
sc7 = conj(s7);
sc8 = conj(s8);
sc9 = conj(s9);
sc10 = conj(s10);
sc11 = conj(s11);
sc12 = conj(s12);
sc13 = conj(s13);
disp('|####################### ANALISIS ALIRAN DAYA METODE GAUSS SEIDEL ZBus #######################|')
y1=y(2:13,2:13)
Zbus=inv(y1)
Sbus1=[s2;s3;s4;s5;s6;s7;s8;s9;s10;s11;s12;s13]
epsilon = [0.000001;0.000001;0.000001;0.000001;0.000001;0.000001;0.000001;0.000001;0.000001;0.000001;0.000001;0.000001];
x = 1;
iter=0;
Ebus=[220;220;220;220;220;220;220;220;220;220;220;220];
while x>=epsilon
iter=iter+1;
EbusLama=Ebus;
for p=1:12
arus(p)=conj(Sbus1(p)/Ebus(p));
end
arus2=transp(arus);
for q=1:12
Ebus(q)=220+(Zbus(q,1:12)*arus2(1:12));
end
selisih=Ebus-EbusLama;
x=max(abs(selisih));
fprintf('%i',iter),disp([Ebus]);
end
ebus=[220;Ebus(1,1);Ebus(2,1);Ebus(3,1);Ebus(4,1);Ebus(5,1);Ebus(6,1);Ebus(7,1);Ebus(8,1);Ebus(9,1);Ebus(10,1);Ebus(11,1);Ebus(12,1)]
%matriks I bus
Ibus=y*ebus
%matriks sbus
sbus=diag(ebus)*conj(Ibus)
%matriks sbus
srugi=sum(sbus)
Hasil iterasi:
1) 1.0e+002 *
2.0856 - 0.1298i
2.0830 - 0.1292i
1.9929 - 0.2226i
1.9976 - 0.2173i
1.9613 - 0.2510i
1.9300 - 0.2963i
1.8962 - 0.3410i
1.8833 - 0.3607i
1.8789 - 0.3683i
1.8945 - 0.3468i
2.0104 - 0.2028i
2.0900 - 0.1191i
2) 1.0e+002 *
2.0574 - 0.1258i
2.0544 - 0.1249i
1.9389 - 0.2136i
1.9456 - 0.2090i
1.8991 - 0.2402i
1.8542 - 0.2844i
1.8068 - 0.3276i
1.7880 - 0.3470i
1.7813 - 0.3545i
1.8035 - 0.3337i
1.9635 - 0.1953i
2.0647 - 0.1153i
3) 1.0e+002 *
2.0526 - 0.1298i
2.0495 - 0.1289i
1.9295 - 0.2211i
1.9366 - 0.2162i
1.8881 - 0.2488i
1.8408 - 0.2951i
1.7908 - 0.3404i
1.7709 - 0.3608i
1.7638 - 0.3688i
1.7873 - 0.3469i
1.9555 - 0.2018i
2.0605 - 0.1188i
4) 1.0e+002 *
2.0512 - 0.1296i
2.0481 - 0.1286i
1.9267 - 0.2206i
1.9339 - 0.2158i
1.8849 - 0.2482i
1.8367 - 0.2944i
1.7860 - 0.3397i
1.7658 - 0.3600i
1.7585 - 0.3680i
1.7824 - 0.3461i
1.9531 - 0.2014i
2.0593 - 0.1186i
5) 1.0e+002 *
2.0509 - 0.1298i
2.0478 - 0.1289i
1.9261 - 0.2211i
1.9334 - 0.2162i
1.8843 - 0.2487i
1.8360 - 0.2950i
1.7851 - 0.3404i
1.7648 - 0.3608i
1.7575 - 0.3688i
1.7815 - 0.3469i
1.9527 - 0.2018i
2.0590 - 0.1188i
6) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1288i
1.9260 - 0.2210i
1.9333 - 0.2162i
1.8841 - 0.2486i
1.8358 - 0.2950i
1.7849 - 0.3403i
1.7645 - 0.3607i
1.7572 - 0.3687i
1.7812 - 0.3468i
1.9525 - 0.2017i
2.0590 - 0.1188i
7) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7572 - 0.3687i
1.7812 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
8) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2210i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
9) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
10) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
11) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
12) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
13) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
14) 1.0e+002 *
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
ebus =
1.0e+002 *
2.2000
2.0508 - 0.1298i
2.0477 - 0.1289i
1.9259 - 0.2211i
1.9332 - 0.2162i
1.8841 - 0.2487i
1.8357 - 0.2950i
1.7848 - 0.3404i
1.7644 - 0.3608i
1.7571 - 0.3687i
1.7811 - 0.3469i
1.9525 - 0.2018i
2.0589 - 0.1188i
Ibus =
4.6809 - 3.0212i
-0.4795 + 0.1279i
-0.4255 + 0.2221i
-0.3923 + 0.2008i
-0.3744 + 0.3522i
-0.4700 + 0.4601i
-0.2845 + 0.2636i
-0.4453 + 0.3090i
-0.2553 + 0.1372i
-0.3473 + 0.2436i
-0.3470 + 0.2360i
-0.4351 + 0.2498i
-0.4245 + 0.2188i
sbus =
1.0e+003 *
1.0298 + 0.6647i
-0.1000 - 0.0200i
-0.0900 - 0.0400i
-0.0800 - 0.0300i
-0.0800 - 0.0600i
-0.1000 - 0.0750i
-0.0600 - 0.0400i
-0.0900 - 0.0400i
-0.0500 - 0.0150i
-0.0700 - 0.0300i
-0.0700 - 0.0300i
-0.0900 - 0.0400i
-0.0900 - 0.0400i
srugi =
5.9800e+001 +2.0467e+002i