djjhfbghdgbfuydsgfuyosdgfouygdsuyofgsaduyofgsdpygfuyosgduyofgdsoyufgoyusdfgyugdre ugdoyugdfu dfouygouygrsdljgfhsdvfhjasdsgohiuaewhbfhasdbjhfbsadjhafsoadgfuyoagefuyosbdjhfuysagefuyogewyufohagsbhjsdbfjh

METODO GAUSS SEIDEL

clc

clear

close all

Y = [0.948361705154346-17.1890559059225i 0 0 -(0.948361705154346-17.1890559059225i) 0 0 0 0 0;0 0.945046951650825-16.8962939840602i 0 0 0 0 0

-(0.945046951650825-16.8962939840602i) 0;0 0 0.907617504051864-16.0777957860616i 0 0 -(0.907617504051864-16.0777957860616i) 0 0 0;-

(0.948361705154346-17.1890559059225i) 0 0 4.00740468593743-39.7764800406532i -(1.36767105842639-j*12.6342614706551) 0 0 0 -(1.69137192235669-

j*10.088940321023);0 0 0 -(1.36767105842639-j*12.6342614706551) 2.49791184175467-j*18.8240384352294 -(1.13024078332828-j*6.37810836020797) 0 0

0;0 0 -(0.907617504051864-16.0777957860616i) 0 -(1.13024078332828-j*6.37810836020797) 3.86141969861533-39.130028582594i -(1.82356141123519-

j*16.8456819608735) 0 0;0 0 0 0 0 -(1.82356141123519-j*16.8456819608735) 3.14700520892652-j*29.0498936500365 -(1.32344379769133-

j*12.3198858031504) 0;0 -(0.945046951650825-16.8962939840602i) 0 0 0 0 -(1.32344379769133-j*12.3198858031504) 3.32943431730653-

34.1532386616952i -(1.06094356796437-j*5.14463576794182);0 0 0 -(1.69137192235669-j*10.088940321023) 0 0 0 -(1.06094356796437-

j*5.14463576794182) 2.75231549032106-j*15.0226695236324];

V1 = 1.02+j*0;

V2 = 1.02+j*0;

V3 = 1.03+j*0;

V4 = 1+j*0;

V5 = 1+j*0;

V6 = 1+j*0;

V7 = 1+j*0;

V8 = 1+j*0;

V9 = 1+j*0;

Pn2 = (90*10^6)/(100*10^6);

Pn3 = (160*10^6)/(100*10^6);

Sn4 = 0+j*0;

Sn5 = ((150*10^6)/(100*10^6))-j*((50*10^6)/(100*10^6));

Sn6 = 0+j*0;

Sn7 = ((100*10^6)/(100*10^6))-j*((35*10^6)/(100*10^6));

Sn8 = 0+j*0;

Sn9 = ((90*10^6)/(100*10^6))-j*((40*10^6)/(100*10^6));

E = 0.01;

for a = 1:1000

Q2 = -imag((V2')*((V1*Y(2,1))+(V2*Y(2,2))+(V3*Y(2,3))+(V4*Y(2,4))+(V5*Y(2,5))+(V6*Y(2,6))+(V7*Y(2,7))+(V8*Y(2,8))+(V9*Y(2,9))));

x2 = Pn2 - Q2*j;

Vn2 = ((x2/V2')-(V1*Y(2,1))-(V3*Y(2,3))-(V4*Y(2,4))-(V5*Y(2,5))-(V6*Y(2,6))-(V7*Y(2,7))-(V8*Y(2,8))-(V9*Y(2,9)))/(Y(2,2));

Vc2 = (Vn2/abs(Vn2))*1.02;

MV2 = abs(Vc2);

AV2 = angle(Vc2);

E1 = abs((AV2-angle(V2))/AV2);

V2 = Vc2;

Q3 = -imag((V3')*((V1*Y(3,1))+(V2*Y(3,2))+(V3*Y(3,3))+(V4*Y(3,4))+(V5*Y(3,5))+(V6*Y(3,6))+(V7*Y(3,7))+(V8*Y(3,8))+(V9*Y(3,9))));

x3 = Pn3 - Q3*j;

Vn3 = ((x3/V3')-(V1*Y(3,1))-(V2*Y(3,2))-(V4*Y(3,4))-(V5*Y(3,5))-(V6*Y(3,6))-(V7*Y(3,7))-(V8*Y(3,8))-(V9*Y(3,9)))/(Y(3,3));

Vc3 = (Vn3/abs(Vn3))*1.03;

MV3 = abs(Vc3);

AV3 = angle(Vc3);


V3 = Vc3;

Vn4 = ((-Sn4/V4')-(V1*Y(4,1))-(V2*Y(4,2))-(V3*Y(4,3))-(V5*Y(4,5))-(V6*Y(4,6))-(V7*Y(4,7))-(V8*Y(4,8))-(V9*Y(4,9)))/Y(4,4);

MV4 = abs(Vn4);

AV4 = angle(Vn4);

E3 = abs((MV4-abs(V4))/MV4);


V4 = Vn4;


MV5 = abs(Vn5);

AV5 = angle(Vn5);



V5 = Vn5;


MV6 = abs(Vn6);

AV6 = angle(Vn6);



V6 = Vn6;


MV7 = abs(Vn7);

AV7 = angle(Vn7);



V7 = Vn7;


MV8 = abs(Vn8);

AV8 = angle(Vn8);



V8 = Vn8;


MV9 = abs(Vn9);

AV9 = angle(Vn9);



V9 = Vn9;

fprintf ('\n ITERACION %d \n',a);

v=[V1 0;MV2 (57.3*AV2);MV3 (57.3*AV3);MV4 (57.3*AV4);MV5 (57.3*AV5);MV6 (57.3*AV6);MV7 (57.3*AV7);MV8 (57.3*AV8);MV9 (57.3*AV9)]

errores=[0 E1;0 E2;E3 E4;E5 E6;E7 E8;E9 E10;E11 E12;E13 E14]

if (E1

Q78 = imag(S78);

fprintf ('\n\n I78 %d A',I78);

fprintf ('\n P78 %d W',P78);

fprintf ('\n Q78 %d VAr',Q78);

I87 = (((Vn8)-(Vn7))*(1.3234-12.3198i)+(Vn8)*(0.0653i));

S87 = ((Vn8)*I87')*100^6;

I87 = abs(I87)*(0.434*10^3);

P87 = real(S87);

Q87 = imag(S87);




I82 = (((Vn8)-(Vn2))*(0.9450-16.8962i))*432.78;

S82 = ((Vn8)*I82')*100^6;

I82 = abs(I82)*(0.434*10^3);

P82 = real(S82);

Q82 = imag(S82);




I28 = (((Vn2)-(Vn8))*(0.9450-16.8962i))*432.78;

S28 = ((Vn2)*I28')*100^6;

I28 = abs(I28)*(0.434*10^3);

P28 = real(S28);

Q28 = imag(S28);




I89 = (((Vn8)-(Vn9))*(1.0609-5.1446i)+(Vn8)*(0.1422i));

S89 = ((Vn8)*I89')*100^6;

I89 = abs(I89)*(0.434*10^3);

P89 = real(S89);

Q89 = imag(S89);

fprintf ('\n\n I89 %d A ',I89);



I98 = (((Vn9)-(Vn8))*(1.0609-5.1446i)+(Vn9)*(0.1422i));

S98 = ((Vn9)*I87')*100^6;

I98 = abs(I98)*(0.434*10^3);

P98 = real(S98);

Q98 = imag(S98);




I94 = (((Vn9)-(Vn4))*(1.6913-10.0889i)+(Vn9)*(0.0686i));

S94 = ((Vn9)*I94')*100^6;

I94 = abs(I94)*(0.434*10^3);

P94 = real(S94);

Q94 = imag(S94);




I49 = (((Vn4)-(Vn9))*(1.6913-10.0889i)+(Vn4)*(0.0686i));

S49 = ((Vn4)*I49')*100^6;

I49 = abs(I49)*(0.434*10^3);

P49 = real(S49);

Q49 = imag(S49);




I41 = (((Vn4)-V1)*(0.9483-17.1890i));

S41 = ((Vn4)*I41')*100^6;

I41 = abs(I41)*(0.434*10^3);

P41 = real(S41);

Q41 = imag(S41);




I14 = ((V1-(Vn4))*(0.9483-17.1890i));

S14 = (V1*I14')*100^6;

I14 = abs(I14)*(0.434*10^3);

P14 = real(S14);

Q14 = imag(S14);




I45 = (((Vn4)-(Vn5))*(1.3676-12.6342i)+(Vn4)*(0.0670i));

S45 = ((Vn4)*I45')*100^6;

I45 = abs(I45)*(0.434*10^3);

P45 = real(S45);

Q45 = imag(S45);




I54 = (((Vn5)-(Vn4))*(1.3676-12.6342i)+(Vn5)*(0.0670i));

S54 = ((Vn5)*I54')*100^6;

I54 = abs(I54)*(0.434*10^3);

P54 = real(S54);

Q54 = imag(S54);




I56 = (((Vn5)-(Vn6))*(1.1302-6.3781i)+(Vn5)*(0.1212i));

S56 = ((Vn5)*I56')*100^6;

I56 = abs(I56)*(0.434*10^3);

P56 = real(S56);

Q56 = imag(S56);




I65 = (((Vn6)-(Vn5))*(1.1302-6.3781i)+(Vn6)*(0.1212i));

S65 = ((Vn6)*I65')*100^6;

I65 = abs(I65)*(0.434*10^3);

P65 = real(S65);

Q65 = imag(S65);




break;

end

end

RESULTADO GAUSS

SEIDEL

ITERACION 1

v =

1.0200 0

1.0200 2.8515

1.0300 5.2223

1.0120 -0.0414

0.9843 -4.4769

1.0147 1.3911

0.9969 -1.0851

1.0153 0.9710

0.9916 -2.9086

errores =

0 1.0000

0 1.0000

0.0118 1.0000

0.0159 1.0000

0.0145 1.0000

0.0031 1.0000

0.0151 1.0000

0.0085 1.0000

ITERACION 2

v =

1.0200 0

1.0200 3.8927

1.0300 6.7630

1.0053 -2.1781

0.9782 -5.3523

1.0116 1.4357

1.0007 -0.6285

1.0160 1.2068

0.9848 -4.2169

errores =

0 0.2675

0 0.2278

0.0066 0.9810

0.0063 0.1636

0.0030 0.0310

0.0039 0.7267

0.0007 0.1954

0.0069 0.3103

ITERACION 3

v =

1.0200 0

1.0200 4.1350

1.0300 6.8415

1.0018 -2.7800

0.9735 -5.7607

1.0125 1.5967

1.0017 -0.4312

1.0154 1.2004

0.9809 -4.6084

errores =

0 0.0586

0 0.0115

0.0036 0.2165

0.0048 0.0709

0.0009 0.1008

0.0010 0.4574

0.0006 0.0053

0.0040 0.0850

ITERACION 4

v =

1.0200 0

1.0200 4.1299

1.0300 6.9991

0.9992 -3.0038

0.9714 -5.8640

1.0126 1.7303

1.0016 -0.3572

1.0148 1.1659

0.9785 -4.7749

errores =

0 0.0012

0 0.0225

0.0025 0.0745

0.0023 0.0176

0.0001 0.0772

0.0001 0.2073

0.0006 0.0295

0.0024 0.0349

ITERACION 5

v =

1.0200 0

1.0200 4.0955

1.0300 7.1331

0.9980 -3.0772

0.9702 -5.8750

1.0123 1.8166

1.0012 -0.3236

1.0143 1.1363

0.9773 -4.8390

errores =

0 0.0084

0 0.0188

0.0013 0.0238

0.0012 0.0019

0.0003 0.0475

0.0004 0.1039

0.0005 0.0261

0.0013 0.0132

ITERACION 6

v =

1.0200 0

1.0200 4.0657

1.0300 7.2208

0.9973 -3.0964

0.9695 -5.8648

1.0120 1.8697

1.0008 -0.3072

1.0139 1.1180

0.9766 -4.8615

errores =

0 0.0073

0 0.0122

0.0007 0.0062

0.0007 0.0017

0.0003 0.0284

0.0004 0.0534

0.0003 0.0164

0.0007 0.0046

ITERACION 7

v =

1.0200 0

1.0200 4.0473

1.0300 7.2753

0.9969 -3.0987

0.9690 -5.8530

1.0117 1.9018

1.0005 -0.2978

1.0137 1.1090

0.9763 -4.8684

errores =

0 0.0046

0 0.0075

0.0004 0.0007

0.0005 0.0020

0.0003 0.0169

0.0003 0.0315

0.0002 0.0082

0.0004 0.0014

ITERACION 8

v =

1.0200 0

1.0200 4.0381

1.0300 7.3083

0.9967 -3.0966

0.9688 -5.8440

1.0115 1.9213

1.0003 -0.2913

1.0136 1.1058

0.9760 -4.8695

errores =

0 0.0023

0 0.0045

0.0002 0.0007

0.0003 0.0015

0.0002 0.0102

0.0002 0.0223

0.0001 0.0029

0.0002 0.0002

ITERACION 9

v =

1.0200 0

1.0200 4.0348

1.0300 7.3285

0.9965 -3.0940

0.9686 -5.8378

1.0114 1.9337

1.0002 -0.2861

1.0135 1.1059

0.9759 -4.8686

errores =

0 0.0008

0 0.0028

0.0001 0.0008

0.0002 0.0011

0.0001 0.0064

0.0001 0.0181

0.0001 0.0001

0.0001 0.0002

ITERACION 10

v =

1.0200 0

1.0200 4.0348

1.0300 7.3413

0.9964 -3.0919

0.9685 -5.8335

1.0113 1.9421

1.0001 -0.2816

1.0135 1.1076

0.9758 -4.8672

errores =

0 0.0000

0 0.0017

0.0001 0.0007

0.0001 0.0007

0.0001 0.0043

0.0001 0.0159

0.0000 0.0016

0.0001 0.0003

ITERACION 11

v =

1.0200 0

1.0200 4.0366

1.0300 7.3499

0.9964 -3.0901

0.9684 -5.8304

1.0113 1.9481

1.0000 -0.2776

1.0134 1.1101

0.9758 -4.8655

errores =

0 0.0004

0 0.0012

0.0001 0.0006

0.0001 0.0005

0.0000 0.0031

0.0000 0.0145

0.0000 0.0023

0.0001 0.0003

ITERACION 12

v =

1.0200 0

1.0200 4.0391

1.0300 7.3562

0.9963 -3.0887

0.9683 -5.8280

1.0113 1.9529

1.0000 -0.2739

1.0134 1.1129

0.9757 -4.8639

errores =

0 0.0006

0 0.0008

0.0000 0.0005

0.0000 0.0004

0.0000 0.0024

0.0000 0.0133

0.0000 0.0025

0.0000 0.0003

ITERACION 13

v =

1.0200 0

1.0200 4.0419

1.0300 7.3610

0.9963 -3.0876

0.9683 -5.8259

1.0112 1.9568

1.0000 -0.2706

1.0134 1.1158

0.9757 -4.8623

errores =

0 0.0007

0 0.0007

0.0000 0.0004

0.0000 0.0004

0.0000 0.0020

0.0000 0.0124

0.0000 0.0025

0.0000 0.0003

ITERACION 14

v =

1.0200 0

1.0200 4.0447

1.0300 7.3650

0.9963 -3.0865

0.9683 -5.8241

1.0112 1.9602

1.0000 -0.2675

1.0134 1.1185

0.9757 -4.8608

errores =

0 0.0007

0 0.0005

0.0000 0.0003

0.0000 0.0003

0.0000 0.0017

0.0000 0.0116

0.0000 0.0025

0.0000 0.0003

ITERACION 15

v =

1.0200 0

1.0200 4.0474

1.0300 7.3685

0.9963 -3.0856

0.9683 -5.8225

1.0112 1.9633

1.0000 -0.2646

1.0134 1.1211

0.9757 -4.8593

errores =

0 0.0007

0 0.0005

0.0000 0.0003

0.0000 0.0003

0.0000 0.0015

0.0000 0.0108

0.0000 0.0023

0.0000 0.0003

ITERACION 16

v =

1.0200 0

1.0200 4.0501

1.0300 7.3715

0.9963 -3.0847

0.9683 -5.8210

1.0112 1.9660

1.0000 -0.2620

1.0134 1.1236

0.9757 -4.8580

errores =

0 0.0006

0 0.0004

0.0000 0.0003

0.0000 0.0003

0.0000 0.0014

0.0000 0.0101

0.0000 0.0022

0.0000 0.0003

ITERACION 17

v =

1.0200 0

1.0200 4.0525

1.0300 7.3743

0.9963 -3.0839

0.9683 -5.8196

1.0112 1.9685

1.0000 -0.2595

1.0134 1.1259

0.9757 -4.8567

errores =

0 0.0006

0 0.0004

0.0000 0.0003

0.0000 0.0002

0.0000 0.0013

0.0000 0.0095

0.0000 0.0020

0.0000 0.0003

FLUJO DE POTENCIA

I36 5.285739e+000 A

P36 -1.199848e+010 W

Q36 -3.660845e+009 VAr

I63 5.285739e+000 A

P63 5.341859e+012 W

Q63 1.835879e+011

I67 2.957645e+002 A

P67 6.843020e+011 W

Q67 8.140631e+010 VAr

I76 3.041561e+002 A

P76 -6.832610e+011 W

Q76 -1.557822e+011 VAr

I78 1.622537e+002 A

P78 -3.191875e+011 W

Q78 -1.946222e+011 VAr

I87 1.405387e+002 A

P87 3.202100e+011 W

Q87 7.178473e+010 VAr

I82 1.663693e+005 A

P82 -3.880747e+014 W

Q82 -1.756473e+013 VAr

I28 1.663693e+005 A

P28 3.891952e+014 W

Q28 3.759810e+013 VAr

I89 2.471995e+002 A

P89 5.763706e+011 W

Q89 -3.112610e+010 VAr

I98 2.641468e+002 A

P98 1.366304e+014 W

Q98 -1.160840e+013 VAr

I94 1.770070e+002 A

P94 -3.365406e+011 W

Q94 -2.123537e+011 VAr

I49 1.530173e+002 A

P49 3.388305e+011 W

Q49 9.261819e+010 VAr

I41 4.423732e+002 A

P41 -9.606675e+011 W

Q41 -3.291650e+011 VAr

I14 4.423732e+002 A

P14 9.639920e+011 W

Q14 3.894248e+011 VAr

I45 2.896685e+002 A

P45 6.213246e+011 W

Q45 2.368913e+011 VAr

I54 3.134092e+002 A

P54 -6.172456e+011 W

Q54 -3.285259e+011 VAr

I56 4.031495e+002 A

P56 -8.829834e+011 W

Q56 -1.712860e+011 VAr

I65 3.894915e+002 A

P65 9.054793e+011 W

Q65 6.067323e+010 VAr

VOLTAJES EN NODOS

V1 = 16.32 Kv

V2 = 14.76Kv

V3 = 18.54 Kv

V4 = 229.149 Kv

V5 = 222.709 Kv

V6 = 232.576 Kv

V7 = 230Kv

V8 = 233.082 Kv

V9 = 224.411Kv

METODO NEWTON RAPSON DESACOPLADO

clear

clc

close all

y = [0.948361705154346-17.1890559059225i 0 0 -(0.948361705154346-17.1890559059225i) 0 0 0 0 0;0 0.945046951650825-16.8962939840602i 0 0 0 0 0

-(0.945046951650825-16.8962939840602i) 0;0 0 0.907617504051864-16.0777957860616i 0 0 -(0.907617504051864-16.0777957860616i) 0 0 0;-

(0.948361705154346-17.1890559059225i) 0 0 4.00740468593743-39.7764800406532i -(1.36767105842639-j*12.6342614706551) 0 0 0 -(1.69137192235669-

j*10.088940321023);0 0 0 -(1.36767105842639-j*12.6342614706551) 2.49791184175467-j*18.8240384352294 -(1.13024078332828-j*6.37810836020797) 0 0

0;0 0 -(0.907617504051864-16.0777957860616i) 0 -(1.13024078332828-j*6.37810836020797) 3.86141969861533-39.130028582594i -(1.82356141123519-

j*16.8456819608735) 0 0;0 0 0 0 0 -(1.82356141123519-j*16.8456819608735) 3.14700520892652-j*29.0498936500365 -(1.32344379769133-

j*12.3198858031504) 0;0 -(0.945046951650825-16.8962939840602i) 0 0 0 0 -(1.32344379769133-j*12.3198858031504) 3.32943431730653-

34.1532386616952i -(1.06094356796437-j*5.14463576794182);0 0 0 -(1.69137192235669-j*10.088940321023) 0 0 0 -(1.06094356796437-

j*5.14463576794182) 2.75231549032106-j*15.0226695236324];

%Matriz del Jacobiano J1

y1=y(2:9,2:9);

J1=-imag(y1);

%Matriz del Jacobiano J2

y2=y(4:9,4:9);

J2=-imag(y2);

%CONDICIONES INICIALES

%Tensiones v=abs(v) y av=angle(v)en radianes

v1=1.02;

v2=1.02;

v3=1.03;

v4=1;

v5=1;

v6=1;

v7=1;

v8=1;

v9=1;

av1=0;

av2=0;

av3=0;

av4=0;

av5=0;

av6=0;

av7=0;

av8=0;

av9=0;

%Potencias programadas

p2 = 0.9;

p3 = 1.6;

p4 = 0;

p5 = -1.5;

p6 = 0;

p7 = -1;

p8 = 0;

p9 = -0.9;

q4 = 0;

q5 = -0.5;

q6 = 0;

q7 = -0.35;

q8 = 0;

q9 = -0.4;

E = 0.01;

%PLANTEAMIENTO DE ECUACIONES Y MATRICES

for a = 1:100

%DELTA P =pprog-pcal

%pcal

pcal2=(v2^2)*real(y(2,2)) + v2*v1*abs(y(2,1))*cos(angle(y(2,1))+ av1 - av2)...

+ v2*v3*abs(y(2,3))*cos(angle(y(2,3))+ av3 - av2)...






+ v2*v9*abs(y(2,9))*cos(angle(y(2,9))+ av9 - av2);

























































DP2=p2-pcal2;

DP3=p3-pcal3;

DP4=p4-pcal4;

DP5=p5-pcal5;

DP6=p6-pcal6;

DP7=p7-pcal7;

DP8=p8-pcal8;

DP9=p9-pcal9;

%Matriz de errores DP

DP=[DP2/v2;DP3/v3;DP4/v4;DP5/v5;DP6/v6;DP7/v7;DP8/v8;DP9/v9];

%Matriz de correcciones

Dav=inv(J1)*DP;

%Correcciones para ngulos de tensiones:

T2=av2+Dav(1,1);

T3=av3+Dav(2,1);

T4=av4+Dav(3,1);

T5=av5+Dav(4,1);

T6=av6+Dav(5,1);

T7=av7+Dav(6,1);

T8=av8+Dav(7,1);

T9=av9+Dav(8,1);

E1 = abs((T2-av2)/T2);

E2 = abs((T3-av3)/T3);

E3 = abs((T4-av4)/T4);

E4 = abs((T5-av5)/T5);

E5 = abs((T6-av6)/T6);

E6 = abs((T7-av7)/T7);

E7 = abs((T8-av8)/T8);

E8 = abs((T9-av9)/T9);

av2 = T2;

av3 = T3;

av4 = T4;

av5 = T5;

av6 = T6;

av7 = T7;

av8 = T8;

av9 = T9;

%DELTA Q=qprog-qcal

%qcal

qcal4=-(v4^2)*imag(y(4,4)) - v4*v1*abs(y(4,1))*sin(angle(y(4,1))+ av1 - av4)...

- v4*v2*abs(y(4,2))*sin(angle(y(4,2))+ av2 - av4)...






- v4*v9*abs(y(4,9))*sin(angle(y(4,9))+ av9 - av4);









































DQ4=q4-qcal4;

DQ5=q5-qcal5;

DQ6=q6-qcal6;

DQ7=q7-qcal7;

DQ8=q8-qcal8;

DQ9=q9-qcal9;

DQ=[DQ4/v4;DQ5/v5;DQ6/v6;DQ7/v7;DQ8/v8;DQ9/v9];

%Matriz de correcciones Dv

Dv=inv(J2)*DQ;

%Correcciones para tensiones:

vn4=v4+Dv(1,1);

vn5=v5+Dv(2,1);

vn6=v6+Dv(3,1);

vn7=v7+Dv(4,1);

vn8=v8+Dv(5,1);

vn9=v9+Dv(6,1);

E9 = abs((vn4-v4)/vn4);

E10 = abs((vn5-v5)/vn5);

E11 = abs((vn6-v6)/vn6);

E12 = abs((vn7-v7)/vn7);

E13 = abs((vn8-v8)/vn8);

E14 = abs((vn9-v9)/vn9);

v4 = vn4;

v5 = vn5;

v6 = vn6;

v7 = vn7;

v8 = vn8;

v9 = vn9;


v=[v1 (57.3*av1);v2 (57.3*T2);v3 (57.3*T3);v4 (57.3*T4);v5 (57.3*T5);v6 (57.3*T6);v7 (57.3*T7);v8 (57.3*T8);v9 (57.3*T9)]


if (E1

P67 = real(S67);

Q67 = imag(S67);




I76 = (((vn7+j*vn7*sin(T7))-(vn6+j*vn6*sin(T6)))*(1.8235-16.8456i)+(vn7+j*vn7*sin(T7))*(0.0503i));

S76 = ((vn7+j*vn7*sin(T7))*I76')*100^6;

I76 = abs(I76)*(0.434*10^3);

P76 = real(S76);

Q76 = imag(S76);





S78 = ((vn7+j*vn7*sin(T7))*I78')*100^6;

I78 = abs(I78)*(0.434*10^3);

P78 = real(S78);

Q78 = imag(S78);





S87 = ((vn8+j*vn8*sin(T8))*I87')*100^6;

I87 = abs(I87)*(0.434*10^3);

P87 = real(S87);

Q87 = imag(S87);




I82 = (((vn8+j*vn8*sin(T8))-(v2+j*v2*sin(T2)))*(0.9450-16.8962i));

S82 = ((vn8+j*vn8*sin(T8))*I82')*100^6;

I82 = abs(I82)*(0.434*10^3);

P82 = real(S82);

Q82 = imag(S82);




I28 = (((v2+j*v2*sin(T2))-(vn8+j*vn8*sin(T8)))*(0.9450-16.8962i));

S28 = ((v2+j*v2*sin(T2))*I28')*100^6;

I28 = abs(I28)*(0.434*10^3);

P28 = real(S28);

Q28 = imag(S28);





S89 = ((vn8+j*vn8*sin(T8))*I89')*100^6;

I89 = abs(I89)*(0.434*10^3);

P89 = real(S89);

Q89 = imag(S89);





S98 = ((vn9+j*vn9*sin(T9))*I87')*100^6;

I98 = abs(I98)*(0.434*10^3);

P98 = real(S98);

Q98 = imag(S98);





S94 = ((vn9+j*vn9*sin(T9))*I94')*100^6;

I94 = abs(I94)*(0.434*10^3);

P94 = real(S94);

Q94 = imag(S94);





S49 = ((vn4+j*vn4*sin(T4))*I49')*100^6;

I49 = abs(I49)*(0.434*10^3);

P49 = real(S49);

Q49 = imag(S49);




I41 = (((vn4+j*vn4*sin(T4))-v1)*(0.9483-17.1890i));

S41 = ((vn4+j*vn4*sin(T4))*I41')*100^6;

I41 = abs(I41)*(0.434*10^3);

P41 = real(S41);

Q41 = imag(S41);




I14 = ((v1-(vn4+j*vn4*sin(T4)))*(0.9483-17.1890i));

S14 = (v1*I14')*100^6;

I14 = abs(I14)*(0.434*10^3);

P14 = real(S14);

Q14 = imag(S14);





S45 = ((vn4+j*vn4*sin(T4))*I45')*100^6;

I45 = abs(I45)*(0.434*10^3);

P45 = real(S45);

Q45 = imag(S45);





S54 = ((vn5+j*vn5*sin(T5))*I54')*100^6;

I54 = abs(I54)*(0.434*10^3);

P54 = real(S54);

Q54 = imag(S54);





S56 = ((vn5+j*vn5*sin(T5))*I56')*100^6;

I56 = abs(I56)*(0.434*10^3);

P56 = real(S56);

Q56 = imag(S56);





S65 = ((vn6+j*vn6*sin(T6))*I65')*100^6;

I65 = abs(I65)*(0.434*10^3);

P65 = real(S65);

Q65 = imag(S65);




break;

end

end

RESULTADOS NEWTON

RAPHSON DESACOPLADO

ITERACION 1

v =

1.0200 0

1.0200 3.8678

1.0300 7.1752

0.9966 -3.2852

0.9690 -6.1827

1.0114 1.7360

1.0000 -0.5673

1.0136 0.9395

0.9756 -5.3173

errores =

0 1.0000

0 1.0000

0.0034 1.0000

0.0320 1.0000

0.0113 1.0000

0.0000 1.0000

0.0134 1.0000

0.0250 1.0000

ITERACION 2

v =

1.0200 0

1.0200 4.1484

1.0300 7.4692

0.9963 -3.0427

0.9683 -5.7569

1.0112 2.0617

1.0000 -0.1613

1.0134 1.2194

0.9757 -4.7895

errores =

0 0.0676

0 0.0394

0.0003 0.0797

0.0007 0.0740

0.0002 0.1580

0.0000 2.5182

0.0002 0.2295

0.0001 0.1102

ITERACION 3

v =

1.0200 0

1.0200 4.0765

1.0300 7.4006

0.9963 -3.0771

0.9682 -5.8068

1.0112 1.9923

1.0000 -0.2360

1.0134 1.1476

0.9757 -4.8456

errores =

0 0.0176

0 0.0093

0.0000 0.0112

0.0000 0.0086

0.0000 0.0349

0.0000 0.3168

0.0000 0.0626

0.0000 0.0116

ITERACION 4

v =

1.0200 0

1.0200 4.0880

1.0300 7.4117

0.9963 -3.0720

0.9682 -5.7994

1.0112 2.0034

1.0000 -0.2244

1.0134 1.1591

0.9757 -4.8376

errores =

0 0.0028

0 0.0015

0.0000 0.0016

0.0000 0.0013

0.0000 0.0055

0.0000 0.0517

0.0000 0.0099

0.0000 0.0017

ITERACION 5

v =

1.0200 0

1.0200 4.0863

1.0300 7.4100

0.9963 -3.0728

0.9682 -5.8005

1.0112 2.0017

1.0000 -0.2262

1.0134 1.1573

0.9757 -4.8388

errores =

0 0.0004

0 0.0002

0.0000 0.0003

0.0000 0.0002

0.0000 0.0008

0.0000 0.0078

0.0000 0.0015

0.0000 0.0003

FLUJO DE POTENCIA

I36 5.352833e+000 A

P36 -1.191827e+010 W

Q36 -4.692928e+009 VAr

I63 5.352833e+000 A

P63 5.412779e+012 W

Q63 1.890472e+011

I67 2.966213e+002 A

P67 6.854171e+011 W

Q67 9.178098e+010 VAr

I76 3.047460e+002 A

P76 -6.823751e+011 W

Q76 -1.654707e+011 VAr

I78 1.627825e+002 A

P78 -3.190538e+011 W

Q78 -1.971661e+011 VAr

I87 1.407019e+002 A

P87 3.200812e+011 W

Q87 7.434954e+010 VAr

I82 3.865342e+002 A

P82 -8.990446e+011 W

Q82 -8.152192e+010 VAr

I28 3.865342e+002 A

P28 9.016621e+011 W

Q28 1.283225e+011 VAr

I89 2.468763e+002 A

P89 5.745400e+011 W

Q89 -4.831989e+010 VAr

I98 2.604979e+002 A

P98 1.372784e+014 W

Q98 -1.157893e+013 VAr

I94 1.702089e+002 A

P94 -3.314626e+011 W

Q94 -1.938828e+011 VAr

I49 1.485050e+002 A

P49 3.335915e+011 W

Q49 7.253209e+010 VAr

I41 4.366316e+002 A

P41 -9.559738e+011 W

Q41 -3.059403e+011 VAr

I14 4.366316e+002 A

P14 9.592125e+011 W

Q14 3.646460e+011 VAr

I45 2.797358e+002 A

P45 6.132989e+011 W

Q45 1.933706e+011 VAr

I54 3.007635e+002 A

P54 -6.095234e+011 W

Q54 -2.886352e+011 VAr

I56 3.984945e+002 A

P56 -8.814627e+011 W

Q56 -1.465066e+011 VAr

I65 3.878297e+002 A

P65 9.035905e+011 W

Q65 3.251651e+010 VAr

VOLTAJES EN NODOS

V1 = 16.32 Kv

V2 = 14.76Kv

V3 = 18.54 Kv

V4 = 229.149 Kv

V5 = 222.686 Kv

V6 = 232.576 Kv

V7 = 230Kv

V8 = 233.082 Kv

V9 = 224.411Kv

METODO NEWTON RAPSON EXTENDIDO

clear

clc

close all

y =[0.948361705154346-17.1890559059225i 0 0 -(0.948361705154346-17.1890559059225i) 0 0 0 0 0;0 0.945046951650825-16.8962939840602i 0 0 0 0 0 -

(0.945046951650825-16.8962939840602i) 0;0 0 0.907617504051864-16.0777957860616i 0 0 -(0.907617504051864-16.0777957860616i) 0 0 0;-

(0.948361705154346-17.1890559059225i) 0 0 4.00740468593743-39.7764800406532i -(1.36767105842639-j*12.6342614706551) 0 0 0 -(1.69137192235669-

j*10.088940321023);0 0 0 -(1.36767105842639-j*12.6342614706551) 2.49791184175467-j*18.8240384352294 -(1.13024078332828-j*6.37810836020797) 0 0

0;0 0 -(0.907617504051864-16.0777957860616i) 0 -(1.13024078332828-j*6.37810836020797) 3.86141969861533-39.130028582594i -(1.82356141123519-

j*16.8456819608735) 0 0;0 0 0 0 0 -(1.82356141123519-j*16.8456819608735) 3.14700520892652-j*29.0498936500365 -(1.32344379769133-

j*12.3198858031504) 0;0 -(0.945046951650825-16.8962939840602i) 0 0 0 0 -(1.32344379769133-j*12.3198858031504) 3.32943431730653-

34.1532386616952i -(1.06094356796437-j*5.14463576794182);0 0 0 -(1.69137192235669-j*10.088940321023) 0 0 0 -(1.06094356796437-

j*5.14463576794182) 2.75231549032106-j*15.0226695236324];

%CONDICIONES INICIALES

%Tensiones v=abs(v) y av=angle(v)en radianes

v1=1.02;

v2=1.02;

v3=1.03;

v4=1;

v5=1;

v6=1;

v7=1;

v8=1;

v9=1;

av1=0;

av2=0;

av3=0;

av4=0;

av5=0;

av6=0;

av7=0;

av8=0;

av9=0;

%Potencias programadas

p2 = 0.9;

p3 = 1.6;

p4 = 0;

p5 = -1.5;

p6 = 0;

p7 = -1;

p8 = 0;

p9 = -0.9;

q4 = 0;

q5 = -0.5;

q6 = 0;

q7 = -0.35;

q8 = 0;

q9 = -0.4;

E = 0.01;

%potencias calculadas

for a = 1:100

































































% ----------------------------------------------------------

















































DER = [(p2 - pcal2);(p3 - pcal3);(p4 - pcal4);(p5 - pcal5);(p6 - pcal6);(p7 - pcal7);(p8 - pcal8);(p9 - pcal9);(q4 - qcal4);(q5 - qcal5);(q6 -

qcal6);(q7 - qcal7);(q8 - qcal8);(q9 - qcal9)];

%derivaras de las ecuaciones anteriores -------------------------

















%O2

Dp2calO2 = -qcal2-v2^2*imag(y(2,2));

Dp3calO2 = -v3*v2*abs(y(2,3))*sin(angle(y(2,3)) + av2 - av3);







Dq4calO2 = -v4*v2*abs(y(2,4))*cos(angle(y(2,4)) + av2 - av4);






%O3















%O4









Dq4calO4 = pcal4-v4^2*real(y(4,4));






%O5















%O6















%O7















%O8















%O9















%v4

Dp2calv4 = v2*v4*abs(y(2,4))*cos(angle(y(2,4)) + av4 - av2);


Dp4calv4 = pcal4+v4^2*real(y(4,4));

Dp5calv4 = -Dq5calO4;





Dq4calv4 = qcal4-v4^2*imag(y(4,4));

Dq5calv4 = Dp5calO4;





%v5















%v6















%v7















%v8















%v9















MJ = [Dp2calO2 Dp2calO3 Dp2calO4 Dp2calO5 Dp2calO6 Dp2calO7 Dp2calO8 Dp2calO9 Dp2calv4 Dp2calv5 Dp2calv6 Dp2calv7 Dp2calv8 Dp2calv9;...

Dp3calO2 Dp3calO3 Dp3calO4 Dp3calO5 Dp3calO6 Dp3calO7 Dp3calO8 Dp3calO9 Dp3calv4 Dp3calv5 Dp3calv6 Dp3calv7 Dp3calv8 Dp3calv9;...







Dq4calO2 Dq4calO3 Dq4calO4 Dq4calO5 Dq4calO6 Dq4calO7 Dq4calO8 Dq4calO9 Dq4calv4 Dq4calv5 Dq4calv6 Dq4calv7 Dq4calv8 Dq4calv9;...





Dq9calO2 Dq9calO3 Dq9calO4 Dq9calO5 Dq9calO6 Dq9calO7 Dq9calO8 Dq9calO9 Dq9calv4 Dq9calv5 Dq9calv6 Dq9calv7 Dq9calv8 Dq9calv9];

D = inv(MJ)*DER;

T2=av2+D(1,1);

T3=av3+D(2,1);

T4=av4+D(3,1);

T5=av5+D(4,1);

T6=av6+D(5,1);

T7=av7+D(6,1);

T8=av8+D(7,1);

T9=av9+D(8,1);

vn4=v4+D(9,1);

vn5=v5+D(10,1);

vn6=v6+D(11,1);

vn7=v7+D(12,1);

vn8=v8+D(13,1);

vn9=v9+D(14,1);

E1 = abs((T2-av2)/T2);

E2 = abs((T3-av3)/T3);

E3 = abs((T4-av4)/T4);

E4 = abs((T5-av5)/T5);

E5 = abs((T6-av6)/T6);

E6 = abs((T7-av7)/T7);

E7 = abs((T8-av8)/T8);

E8 = abs((T9-av9)/T9);

E9 = abs((vn4-v4)/vn4);

E10 = abs((vn5-v5)/vn5);

E11 = abs((vn6-v6)/vn6);

E12 = abs((vn7-v7)/vn7);

E13 = abs((vn8-v8)/vn8);

E14 = abs((vn9-v9)/vn9);

av2 = T2;

av3 = T3;

av4 = T4;

av5 = T5;

av6 = T6;

av7 = T7;

av8 = T8;

av9 = T9;

v4 = vn4;

v5 = vn5;

v6 = vn6;

v7 = vn7;

v8 = vn8;

v9 = vn9;


v=[v1 (57.3*av1);v2 (57.3*T2);v3 (57.3*T3);v4 (57.3*T4);v5 (57.3*T5);v6 (57.3*T6);v7 (57.3*T7);v8 (57.3*T8);v9 (57.3*T9)]


if (E1

I78 = abs(I78)*(0.434*10^3);

P78 = real(S78);

Q78 = imag(S78);





S87 = ((vn8+j*vn8*sin(T8))*I87')*100^6;

I87 = abs(I87)*(0.434*10^3);

P87 = real(S87);

Q87 = imag(S87);




I82 = (((vn8+j*vn8*sin(T8))-(v2+j*v2*sin(T2)))*(0.9450-16.8962i));

S82 = ((vn8+j*vn8*sin(T8))*I82')*100^6;

I82 = abs(I82)*(0.434*10^3);

P82 = real(S82);

Q82 = imag(S82);




I28 = (((v2+j*v2*sin(T2))-(vn8+j*vn8*sin(T8)))*(0.9450-16.8962i));

S28 = ((v2+j*v2*sin(T2))*I28')*100^6;

I28 = abs(I28)*(0.434*10^3);

P28 = real(S28);

Q28 = imag(S28);





S89 = ((vn8+j*vn8*sin(T8))*I89')*100^6;

I89 = abs(I89)*(0.434*10^3);

P89 = real(S89);

Q89 = imag(S89);





S98 = ((vn9+j*vn9*sin(T9))*I87')*100^6;

I98 = abs(I98)*(0.434*10^3);

P98 = real(S98);

Q98 = imag(S98);





S94 = ((vn9+j*vn9*sin(T9))*I94')*100^6;

I94 = abs(I94)*(0.434*10^3);

P94 = real(S94);

Q94 = imag(S94);





S49 = ((vn4+j*vn4*sin(T4))*I49')*100^6;

I49 = abs(I49)*(0.434*10^3);

P49 = real(S49);

Q49 = imag(S49);




I41 = (((vn4+j*vn4*sin(T4))-v1)*(0.9483-17.1890i));

S41 = ((vn4+j*vn4*sin(T4))*I41')*100^6;

I41 = abs(I41)*(0.434*10^3);

P41 = real(S41);

Q41 = imag(S41);




I14 = ((v1-(vn4+j*vn4*sin(T4)))*(0.9483-17.1890i));

S14 = (v1*I14')*100^6;

I14 = abs(I14)*(0.434*10^3);

P14 = real(S14);

Q14 = imag(S14);





S45 = ((vn4+j*vn4*sin(T4))*I45')*100^6;

I45 = abs(I45)*(0.434*10^3);

P45 = real(S45);

Q45 = imag(S45);





S54 = ((vn5+j*vn5*sin(T5))*I54')*100^6;

I54 = abs(I54)*(0.434*10^3);

P54 = real(S54);

Q54 = imag(S54);





S56 = ((vn5+j*vn5*sin(T5))*I56')*100^6;

I56 = abs(I56)*(0.434*10^3);

P56 = real(S56);

Q56 = imag(S56);





S65 = ((vn6+j*vn6*sin(T6))*I65')*100^6;

I65 = abs(I65)*(0.434*10^3);

P65 = real(S65);

Q65 = imag(S65);




break;

end

end

RESULTADOS NEWTON

RAPHSON EXTENDIDO

ITERACION 1

v =

1.0200 0

1.0200 4.2044

1.0300 7.5766

1.0068 -3.0779

0.9874 -5.7961

1.0232 2.0623

1.0108 -0.1918

1.0212 1.2083

0.9884 -4.7676

errores =

0 1.0000

0 1.0000

0.0067 1.0000

0.0127 1.0000

0.0227 1.0000

0.0107 1.0000

0.0207 1.0000

0.0118 1.0000

ITERACION 2

v =

1.0200 0

1.0200 4.4344

1.0300 7.7546

0.9973 -2.9076

0.9704 -5.4523

1.0121 2.3466

1.0006 0.1213

1.0139 1.5049

0.9763 -4.6065

errores =

0 0.0519

0 0.0230

0.0095 0.0586

0.0175 0.0631

0.0109 0.1211

0.0102 2.5808

0.0072 0.1971

0.0123 0.0350

ITERACION 3

v =

1.0200 0

1.0200 4.1228

1.0300 7.4512

0.9956 -3.0546

0.9666 -5.7618

1.0108 2.0420

0.9996 -0.1886

1.0132 1.1939

0.9751 -4.8167

errores =

0 0.0756

0 0.0407

0.0017 0.0481

0.0040 0.0537

0.0013 0.1492

0.0010 1.6434

0.0007 0.2605

0.0012 0.0436

ITERACION 4

v =

1.0200 0

1.0200 4.0774

1.0300 7.4017

0.9961 -3.0770

0.9680 -5.8097

1.0111 1.9931

0.9999 -0.2351

1.0133 1.1484

0.9756 -4.8450

errores =

0 0.0111

0 0.0067

0.0005 0.0073

0.0015 0.0082

0.0003 0.0245

0.0003 0.1978

0.0001 0.0396

0.0005 0.0059

ITERACION 5

v =

1.0200 0

1.0200 4.0843

1.0300 7.4079

0.9963 -3.0738

0.9683 -5.8027

1.0112 1.9996

1.0000 -0.2282

1.0134 1.1554

0.9757 -4.8400

errores =

0 0.0017

0 0.0008

0.0001 0.0011

0.0003 0.0012

0.0001 0.0032

0.0001 0.0302

0.0000 0.0060

0.0001 0.0010

ITERACION 6

v =

1.0200 0

1.0200 4.0866

1.0300 7.4104

0.9963 -3.0726

0.9683 -5.8003

1.0112 2.0020

1.0000 -0.2258

1.0134 1.1577

0.9757 -4.8385

errores =

0 0.0006

0 0.0003

0.0000 0.0004

0.0000 0.0004

0.0000 0.0012

0.0000 0.0104

0.0000 0.0020

0.0000 0.0003

FLUJO DE POTENCIA

I36 5.352836e+000 A

P36 -1.191826e+010 W

Q36 -4.692987e+009 VAr

I63 5.352836e+000 A

P63 5.412782e+012 W

Q63 1.890774e+011

I67 2.966203e+002 A

P67 6.854142e+011 W

Q67 9.178526e+010 VAr

I76 3.047453e+002 A

P76 -6.823723e+011 W

Q76 -1.654752e+011 VAr

I78 1.627829e+002 A

P78 -3.190537e+011 W

Q78 -1.971680e+011 VAr

I87 1.407020e+002 A

P87 3.200812e+011 W

Q87 7.435146e+010 VAr

I82 3.865343e+002 A

P82 -8.990446e+011 W

Q82 -8.152571e+010 VAr

I28 3.865343e+002 A

P28 9.016621e+011 W

Q28 1.283263e+011 VAr

I89 2.468805e+002 A

P89 5.745502e+011 W

Q89 -4.831796e+010 VAr

I98 2.605021e+002 A

P98 1.372785e+014 W

Q98 -1.157840e+013 VAr

I94 1.702054e+002 A

P94 -3.314503e+011 W

Q94 -1.938882e+011 VAr

I49 1.485002e+002 A

P49 3.335790e+011 W

Q49 7.253688e+010 VAr

I41 4.366138e+002 A

P41 -9.559290e+011 W

Q41 -3.059462e+011 VAr

I14 4.366138e+002 A

P14 9.591674e+011 W

Q14 3.646471e+011 VAr

I45 2.797284e+002 A

P45 6.132781e+011 W

Q45 1.933799e+011 VAr

I54 3.007575e+002 A

P54 -6.095028e+011 W

Q54 -2.886460e+011 VAr

I56 3.984987e+002 A

P56 -8.814710e+011 W

Q56 -1.465099e+011 VAr

I65 3.878335e+002 A

P65 9.035993e+011 W

Q65 3.252254e+010 VAr

VOLTAJES EN NODOS

V1 = 16.32 Kv

V2 = 14.76Kv

V3 = 18.54 Kv

V4 = 229.149 Kv

V5 = 229.609 Kv

V6 = 232.576 Kv

V7 = 230Kv

V8 = 233.082 Kv

V9 = 224.411K

Documents

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