metode fast decoupled newton raphson

TUGAS BESAR ANALISIS SISTEM DAYA II (PROGRAM LOAD FLOW) METODE FAST DECOUPLED NEWTON RAPHSON

LISTING PROGRAM# include <iostream.h># include <conio.h># include <math.h># include <stdio.h># include <iomanip.h># include <complex.h>

const float pi=3.141592654;

int i,j,a,b,c,z, brs,kol,tlh,jum_el,iterasi,iter_B2,iter_B3;

static int jum_Slack,jum_PV,jum_PQ,iter_brs=0,iter_kol=0;

static float r[10][10],y[10][10],half_line[10][10],G[10][10],B[10][10], Y1[10][10],Y2[10][10],Y[10][10],teta[10][10],inv_B1[10][10],

inv_B2[10][10],P_sp[10],Q_sp[10],P[10][10],Q[10][10];

float tol,input,d2,d3,m2,m3,a1,a2,a3,b1,b2,b3,diaG[10],diaB[10],dia_S[10],Rel[10], matB1[10][10],matB2[10][10],mata[10][10],bag,kli,inv[10][10], delta_dho[10][70],delta_V[10][70],delta_P[10][70],delta_Q[10][70], V[10][70],dho[10][70];

void jenis_rel();void entri_Y();void nilai_awal_rel();void daya_tiap_rel();void matriks_B1();void matriks_B2();void iterasi_utama();void garis1();void garis2();void output_utama();

void main(){ cout << " =============================================================="<<endl; cout << " PROGRAM ANALISIS LOAD FLOW "<<endl; cout << " MENGGUNAKAN METODE FAST DECOUPLED NEWTON RAPHSON "<<endl; cout << " disajikan oleh : Frisal Argha Kusumah "<<endl; cout << " Peserta Mata Kuliah ASD II "<<endl; cout << " Teknik Elektro Universitas Brawijaya Malang"<<endl; cout << " =============================================================="<<endl; cout << " Bismillahirrahmanirrahim "<<endl; cout << " Assalamu’alaikum Warohmatullahi Wabarokatuh "<<endl; cout << " Untuk memulai program silakan mengentrikan nilai data berikut "<<endl; cout << " Dengan ketentuan banyaknya Bus maksimal adalah 10! "<<endl; cout << " Jumlah Bus yang dientrikan= ";cin >> brs; cout << " Jumlah Elemen yang dientrikan= ";cin >> jum_el; kol=brs; cout <<endl<<endl; jenis_rel(); entri_Y (); nilai_awal_rel(); daya_tiap_rel(); matriks_B1(); matriks_B2(); cout<<endl<<endl;

FRISAL ARGHA KUSUMAH0610630040


cout<<"Jumlah iterasi maksimum yang anda inginkan?(Maks 70): ";cin>>iterasi; if(iterasi>=70)

{ cout<<" Maaf, Iterasi melebihi ketentuan, dijadikan 67 "<<endl; iterasi=67;}

else{ iterasi=iterasi;}

cout<<"silakan mengentri nilai toleransi untuk divergensi ";cin>>tol;iterasi_utama();output_utama();}

void jenis_rel(){ cout<<"Silakan Mengentrikan nomor jenis Bus yang anda pilih! "<<endl; cout<<"Untuk nomor 1 adalah jenis Slack Bus "<<endl; cout<<"Untuk nomor 2 adalah jenis PV Bus "<<endl; cout<<"Untuk nomor 3 adalah jenis PQ Bus "<<endl; cout<<"Dimana Bus ke-1 adalah Slack Bus"; cout<<"(tetapan : Slack pada rel no 1 dan jumlahnya 1)"<<endl; Rel[1]=1;

for(a=2;a<=brs;a++) { cout<<"Jenis Bus ke-"<<a<<" adalah Bus dengan nomor : "; cin>>Rel[a]; if((Rel[a]==1)||(Rel[a]<=0)||(Rel[a]>3)) {

a--; cout<<"Maaf terjadi kesalahan, Tolong anda Ulangi "<<endl; continue;

} else {} }

for(a=1;a<=brs;a++) { if(Rel[a]==1)

jum_Slack=jum_Slack+1;

else if(Rel[a]==2)jum_PV=jum_PV+1;

else if(Rel[a]==3)jum_PQ=jum_PQ+1;

}

cout<<"Jumlah Slack Bus = "<<jum_Slack<<endl; cout<<"Jumlah PV Bus = "<<jum_PV<<endl; cout<<"Jumlah PQ Bus = "<<jum_PQ<<endl; cout<<endl<<endl;}

void entri_Y(){ cout<<"Silakan Mengentri nilai Resistansi(R, ohm)dan reaktansi(Y, ohm),"; cout<<"serta line charging(B, mho) tiap Bus! "<<endl; cout<<"Data entri dalam bentuk pu (per unit)"<<endl; cout<<"Dimana Bus kirim lebih kecil dari Bus terima"<<endl;



garis1();cout<<endl;

for(i=1;i<=jum_el;i++) { cout<<"Tolong hati-hati dalam mengentrikan data tiap bus!"<<endl; cout<<"Data elemen ke-"<<i<<endl; cout<<"Dari Bus Kirim : ";cin>>a; cout<<"Menuju Bus Terima : ";cin>>b; if((a>brs)||(b>brs)||(a>=b)||(a<=0))

{ i--; cout<<"Maaf, Data BUS yang anda entrikan salah, tolong dicek lagi"<<endl; continue; }

cout<<" Silakan mengentri nilai R = ";cin>>input; r[a][b]=r[a][b]+input; cout<<" Silakan mengentri nilai Y = ";cin>>input; y[a][b]=y[a][b]+input; cout<<" Silakan mengentri nilai B = ";cin>>input; input=input/2; half_line[a][b]=half_line[a][b]+input; cout<<endl<<endl; }

for (a=1;a<=brs;a++) for (b=1;b<=kol;b++) { d2=((r[a][b]*r[a][b])+(y[a][b]*y[a][b])); cout<<"d2= "<<d2<<endl; if (d2==0) {

G[a][b]=0; B[a][b]=0;

} else if (d2>0) { G[a][b]=r[a][b]/d2;

B[a][b]=-y[a][b]/d2; } }{ for (a=1;a<=brs;a++) for (b=1;b<=kol;b++) { if(a>b)

{ G[a][b]=G[b][a]; B[a][b]=B[b][a]; half_line[a][b]=half_line[b][a]; }

else {

G[a][a]=0; B[a][a]=0; half_line[a][a]=0; }

}}

{ for (a=1;a<=brs;a++) for (b=1;b<=kol;b++)



if(a==b) { {

for(j=1;j<=kol;j++) { diaG[a] = diaG[a]+G[a][j]; diaB[a] = diaB[a]+B[a][j]; dia_S[a] = dia_S[a]+half_line[a][j]; }

Y1[a][a]=diaG[a];Y2[a][a]=diaB[a]+dia_S[a];

} }

else if(a<b){ Y1[a][b]=-(G[a][b]); Y2[a][b]=-(B[a][b]);}

else{ Y1[a][b]=-(G[b][a]); Y2[a][b]=-(B[b][a]);}

}

for (a=1;a<=brs;a++)for (b=1;b<=kol;b++) { input=(Y1[a][b]*Y1[a][b]+Y2[a][b]*Y2[a][b]); Y[a][b]=sqrt(input);

if (Y1[a][b]<0){ if(Y2[a][b]<0) {

teta[a][b]=pi+atan(Y2[a][b]/Y1[a][b]); } else if(Y2[a][b]==0) {

teta[a][b]=pi; } else {

teta[a][b]=pi+atan(Y2[a][b]/Y1[a][b]); }}

else if(Y1[a][b]==0){ if(Y2[a][b]<0) {

teta[a][b]=-(pi/2); } else if(Y2[a][b]==0) {

teta[a][b]=0; } else {

teta[a][b]=(pi/2);



}}

else{ if(Y2[a][b]<0) {

input=atan(Y2[a][b]/Y1[a][b]);teta[a][b]=input;

} else if(Y2[a][b]==0) {

teta[a][b]=0; } else {

input=atan(Y2[a][b]/Y1[a][b]);teta[a][b]=input;

}}

}}

void nilai_awal_rel(){ cout<<endl<<endl; cout<<"Silakan Mengentri Nilai awal V, sudut fasa, P, atau Q : "<<endl; cout<<"Dimana semua satuan dalam pu dan sudut fasa dalam radian : "<<endl;

for(a=1;a<=brs;a++){ if(Rel[a]==1) { cout<<endl;

cout<<" Silakan Mengentri data bus ke-"<<a<<" (Slack Bus) :"<<endl; cout<<" Silakan Mengentri nilai V = ";cin>>V[a][0]; cout<<" Silakan Mengentri nilai dho = ";cin>>dho[a][0]; }

else if(Rel[a]==2) { cout<<endl; cout<<" Silakan Mengentri data bus ke-"<<a<<" (PV Bus) :"<<endl; cout<<" Silakan Mengentri nilai V = ";cin>>V[a][0]; cout<<" Silakan Mengentri nilai P netto (P_sp) = ";cin>>P_sp[a]; cout<<" Untuk keperluan iterasi, diberi nilai awal dho=0 "<<endl; dho[a][0]=0; }

else { cout<<endl; cout<<" Silakan Mengentri data bus ke-"<<a<<" (PQ Bus) :"<<endl; cout<<" Silakan Mengentri nilai P netto (P_sp) = ";cin>>P_sp[a]; cout<<" Silakan Mengentri nilai Q netto (Q_sp)= ";cin>>Q_sp[a]; cout<<" Untuk keperluan iterasi,"; cout<<" diberikan nilai awal V=1 dan dho=0"<<endl; V[a][0]=1; dho[a][0]=0; }}

}



void daya_tiap_rel(){ for(a=1;a<=brs;a++) { if(Rel[a]==1)

{ }

else if(Rel[a]==2) { a1=0; for (b=1;b<=brs;b++) {

a2=a2+V[a][0]*V[b][0]*Y[a][b]*cos(teta[a][b]-dho[a][0]+dho[b][0]); } P[a][0]=a2; delta_P[a][0]=P_sp[a]-P[a][0]; }

else { a2=a3=0;

for (b=1;b<=brs;b++){ a2=a2+V[a][0]*V[b][0]*Y[a][b]*cos(teta[a][b]-dho[a][i]+dho[b][0]); a3=a3+V[a][0]*V[b][0]*Y[a][b]*sin(teta[a][b]-dho[a][0]+dho[b][0]);}P[a][0]=a2;Q[a][0]=-a3;delta_P[a][0]=P_sp[a]-P[a][0];delta_Q[a][0]=Q_sp[a]-Q[a][0];

} }}

void matriks_B1(){{for(i=2;i<=brs;i++) for(j=2;j<=brs;j++)

{mata[i][j]=Y2[i][j];

}

for(i=2;i<=brs;i++)for(j=2;j<=brs;j++)

{if(i==j)

inv[i][j]=1;

elseinv[i][j]=0;

}

cout<<"\n\n";for(tlh=2;tlh<=brs;tlh++){for(j=2;j<=brs;j++)

{if(tlh==j){

bag=mata[tlh][j];for(j=2;j<=brs;j++){



mata[tlh][j]=mata[tlh][j]/bag;inv[tlh][j]=inv[tlh][j]/bag;

}}

}for(i=2;i<=brs;i++)

{if(i!=tlh)

{kli=mata[i][tlh];for(j=2;j<=brs;j++){

mata[i][j]=mata[i][j]-kli*mata[tlh][j];inv[i][j]=inv[i][j]-kli*inv[tlh][j];

}}

}}

for(i=2;i<=brs;i++) for(j=2;j<=brs;j++)

{inv_B1[i][j]=inv[i][j];

} }//convertcout<<endl<<endl<<endl; for(j=1;j<=brs;j++) { inv_B1[1][j]=inv_B1[j][1]=0; }

for(i=1;i<=brs;i++) for(j=1;j<=brs;j++) cout<<"J1["<<i<<"]["<<j<<"]="<<inv_B1[i][j]<<endl;

}

void matriks_B2(){ for(a=1;a<=(brs-c+1);a++)

for(b=1;a<=brs;a++){ matB2[a][b]=Y2[a][b];}

//seleksi baris { for(c=1;c<=brs;c++)

{ if(Rel[c]==3) {

iter_brs=iter_brs+1; for(b=1;b<=kol;b++)

{ matB2[iter_brs][b]=Y2[c][b];}

}

else {}



} }

//seleksi kolom { for(c=1;c<=brs;c++)

{ if(Rel[c]==3) {

iter_kol=iter_kol+1;for(b=1;b<=iter_brs;b++){ cout<<endl; matB2[b][iter_kol]=matB2[b][c];}

}

else {}}

}

// invers matriks B2{for(i=1;i<=iter_brs;i++) for(j=1;j<=iter_brs;j++)

{mata[i][j]=matB2[i][j];

}

for(i=1;i<=iter_brs;i++)for(j=1;j<=iter_brs;j++)

{if(i==j)

inv[i][j]=1;

elseinv[i][j]=0;

}

cout<<"\n\n";for(tlh=1;tlh<=iter_brs;tlh++){for(j=1;j<=iter_brs;j++)

{if(tlh==j){

bag=mata[tlh][j];for(j=1;j<=iter_brs;j++){

mata[tlh][j]=mata[tlh][j]/bag;inv[tlh][j]=inv[tlh][j]/bag;

}}

}for(i=1;i<=iter_brs;i++)

{if(i!=tlh)

{kli=mata[i][tlh];for(j=1;j<=iter_brs;j++){



mata[i][j]=mata[i][j]-kli*mata[tlh][j];inv[i][j]=inv[i][j]-kli*inv[tlh][j];

}}

}}

}cout<<endl<<endl;

// convertfor(a=1;a<=brs;a++) { if(Rel[a]==3)

{ iter_B2=iter_B2+1; iter_B3=0; for(b=1;b<=brs;b++) {

if(Rel[b]==3) {

iter_B3=iter_B3+1;inv_B2[a][b]=inv[iter_B2][iter_B3];cout<<"J["<<a<<"]["<<b<<"]="<<inv_B2[a][b]<<endl;

}else {

inv_B2[a][b]=0;cout<<"J["<<a<<"]["<<b<<"]="<<inv_B2[a][b]<<endl;

} }}

else{ for(b=1;b<=brs;b++) { inv_B2[a][b]=0; cout<<"J["<<a<<"]["<<b<<"]="<<inv_B2[a][b]<<endl; }}

}

}

void iterasi_utama(){for(i=1;i<=iterasi;i++) { for(j=1;j<=brs;j++)

{ if(Rel[j]==1)

{ dho[j][i]=dho[j][i-1]; V[j][i]=V[j][i-1]; }

else if(Rel[j]==2) { b1=0; for(a=2;a<=brs;a++)



{ b1=b1+inv_B1[j][a]*delta_P[a][i-1]/V[a][i-1]; }

delta_V[j][i-1]=0; delta_dho[j][i-1]=-b1;

dho[j][i]=dho[j][i-1]+delta_dho[j][i-1]; V[j][i]=V[j][i-1];

}

else if (Rel[j]==3) { b2=b3=0; for(a=2;a<=brs;a++)

{ b2=b2+inv_B1[j][a]*delta_P[a][i-1]/V[a][i-1]; b3=b3+inv_B2[j][a]*delta_Q[a][i-1]/V[a][i-1]; }

delta_dho[j][i-1]=-b2; delta_V[j][i-1]=-b3;

dho[j][i]=dho[j][i-1]+delta_dho[j][i-1]; V[j][i]=V[j][i-1]+delta_V[j][i-1];

}}

//for ke dua untuk daya baru for(j=1;j<=brs;j++)

{ if(Rel[j]==1)

{}

else if(Rel[j]==2) { a1=0; for (b=1;b<=brs;b++)

{ a1=a1+V[j][i]*V[b][i]*Y[j][b]*cos(teta[j][b]-dho[j][i]+dho[b]

[i]); }

P[j][i]=a1;

delta_P[j][i]=P_sp[j]-P[j][i]; }

else if(Rel[j]==3) {

a2=a3=0;for (b=1;b<=brs;b++) {

a2=a2+V[j][i]*V[b][i]*Y[j][b]*cos(teta[j][b]-dho[j][i]+dho[b][i]);

a3=a3+V[j][i]*V[b][i]*Y[j][b]*sin(teta[j][b]-dho[j][i]+dho[b][i]);

}P[j][i]=a2;Q[j][i]=-a3;

delta_P[j][i]=P_sp[j]-P[j][i];



delta_Q[j][i]=Q_sp[j]-Q[j][i]; }

}//penutup for ke-2 }}

void garis1(){

for(int i=1;i<=50;i++)cout<<"-";

}

void garis2(){

for(int i=1;i<=80;i++)cout<<"=";

}

void output_utama(){ clrscr(); //OUTPUT HEADER { garis2(); cout<<"Alhamdulillah telah didapat hasil perhitungan sebagai berikut :"<<endl; garis2();garis2(); cout<<" PROGRAM ANALISIS LOAD FLOW"<<endl; cout<<" METODE FAST DECOUPLE NEWTON RAPHSON "<<endl; cout<<" disajikan oleh Frisal Argha Kusumah"<<endl; cout<<" Peserta Mata Kuliah ASD II"<<endl; cout<<" Dengan NIM 0610630040"<<endl; cout<<" Teknik Elektro Universitas Brawijaya Malang"<<endl; garis2();garis2();

cout<<" DATA JARINGAN YANG ANDA ENTRIKAN"<<endl; garis2(); cout<<endl;

for(a=1;a<=brs;a++) {

if(Rel[a]==1) cout<<"Rel ke-"<<a<<" adalah Slack Bus"<<endl;

else if(Rel[a]==2) cout<<"Rel ke-"<<a<<" adalah PV Bus"<<endl;

else if(Rel[a]==3) cout<<"Rel ke-"<<a<<" adalah PQ Bus"<<endl;

}

cout<<endl; cout<<"JUMLAH SLACK BUS : "<<jum_Slack<<endl; cout<<"JUMLAH PV BUS : "<<jum_PV<<endl; cout<<"JUMLAH PQ BUS : "<<jum_PQ<<endl;

cout<<endl; cout<<"JUMLAH BUS : "<<brs<<endl; cout<<"JUMLAH ELEMEN : "<<jum_el<<endl; cout<<endl<<endl<<endl;

garis2(); cout<<" DATA AWAL JARINGAN ANDA ENTRIKAN ADALAH "<<endl;



garis2();cout<<endl; for(a=1;a<=brs;a++)

{if(Rel[a]==1) {

cout<<"DATA AWAL BUS KE-"<<a<<endl;cout<<"V = "<<V[a][0]<<endl;cout<<"Sudut fasa = "<<dho[a][0]<<endl;cout<<endl;

}

else if(Rel[a]==2) {

cout<<"DATA AWAL BUS KE-"<<a<<endl;cout<<"V = "<<V[a][0]<<endl;cout<<"P netto (P_sp) = "<<P_sp[a]<<endl;cout<<"dho = "<<"0"<<endl;cout<<endl;

}

else if(Rel[a]==3) {

cout<<"DATA AWAL BUS KE-"<<a<<endl;cout<<"P netto (P_sp) = "<<P_sp[a]<<endl;cout<<"Q netto (Q_sp) = "<<Q_sp[a]<<endl;cout<<"V = "<<"0"<<endl;cout<<"dho = "<<"0"<<endl;cout<<endl;

} }

cout<<endl<<endl<<endl;

garis2(); cout<<" MATRIKS Y BUS "<<endl; garis2();cout<<endl;

{ for (a=1;a<=brs;a++)

{ cout<<endl; for (b=1;b<=kol;b++) cout<<setw(7)<<" ("<<Y1[a][b]<<" ; "<<Y2[a][b]<<") ";}

} cout<<endl<<endl<<endl;

garis2(); cout<<" MATRIKS B' "<<endl; garis2();cout<<endl;

{ for(i=2;i<=brs;i++) {

cout<<endl;for(j=2;j<=brs;j++)cout<<setw(12)<<inv_B1[i][j];

} }

cout<<endl<<endl<<endl;

garis2(); cout<<" MATRIKS B'' "<<endl; garis2();cout<<endl;



{ for(i=1;i<=iter_brs;i++)

{ cout<<endl; for(j=1;j<=iter_brs;j++) cout<<setw(7)<<inv[i][j];}

} cout<<endl<<endl<<endl; }

garis2();cout<<" ITERASI "<<endl;garis2();cout<<"JUMLAH ITERASI :"<<iterasi<<endl;cout<<"TOLERANSI :"<<tol<<endl;garis2();cout<<endl;

for(a=1;a<=brs;a++) {

if (Rel[a]==1) {

garis1();cout<<endl;cout<<"ITERASI BUS KE-"<<a<<endl;garis1();cout<<endl;cout<<"It."<<setw(9)<<" delta_V "<<setw(9)<<" V "<<setw(9)<<"

delta_dho "<<setw(9)<<"dho"<<endl;garis2();

for(i=1;i<=iterasi;i++){cout<<setw(2)<<i<<"."<<setw(9)<<delta_V[a][i-1]<<setw(11)<<V[a]

[i]<<setw(11)<<delta_dho[a][i-1]<<setw(11)<<dho[a][i]<<endl;}

}

else if (Rel[a]==2) {

cout<<endl<<endl;garis2();garis1();cout<<endl;cout<<"ITERASI BUS KE-"<<a<<endl;garis1();cout<<endl;cout<<"It."<<setw(9)<<" P "<<setw(9)<<" delta_P ";cout<<setw(9)<<" delta_V "<<setw(9)<<" V ";cout<<setw(9)<<" delta_dho "<<setw(9)<<"dho"<<endl;garis2();

for(i=1;i<=iterasi;i++) {

cout<<setiosflags(ios::fixed);cout<<setw(2)<<i<<"."<<setw(9)<<setprecision(5)<<P[a][i-

1]<<setw(9)<<setprecision(5)<<delta_P[a][i-1];cout <<setw(11)<<setprecision(5)<<delta_V[a][i-

1] <<setw(11)<<setprecision(5)<<V[a][i];cout <<setw(11)<<setprecision(5)<<delta_dho[a]

[i-1]<<setw(11)<<setprecision(5)<<dho[a][i]<<endl; }

}

else if (Rel[a]==3) {

cout<<endl<<endl;



garis2();garis1();cout<<endl;cout<<"ITERASI BUS KE"<<a<<endl;garis1();cout<<endl;cout<<"It."<<setw(9)<<" P "<<setw(14)<<" delta_P ";cout<< setw(9)<<" Q "<<setw(14)<<" delta_Q "<<endl;garis1();cout<<endl;for(i=1;i<=iterasi;i++) { cout<<setiosflags(ios::fixed); cout<<setw(2)<<i<<"."<<setw(11)<<setprecision(5)<<P[a][i-

1]<<setw(11)<<setprecision(4)<<delta_P[a][i-1]; cout<< setw(11)<<setprecision(5)<<Q[a][i-

1]<<setw(11)<<setprecision(4)<<delta_Q[a][i-1]<<endl;

}

cout<<endl<<endl;cout<<"It."<<setw(9)<<" delta_V "<<setw(9)<<" V ";cout<< setw(15)<<" delta_dho "<<setw(10)<<"dho"<<endl;garis1();cout<<endl;for(i=1;i<=iterasi;i++){ cout<<setiosflags(ios::fixed); cout<<setw(2)<<i<<"."<<setw(11)<<setprecision(5)<<delta_V[a][i-1]

<<setw(11)<<setprecision(5)<<V[a][i]; cout<< setw(11)<<setprecision(5)<<delta_dho[a][i-

1]<<setw(13)<<setprecision(5)<<dho[a][i]<<endl;}

} }// output terakhir garis2(); cout<<" PADA ITERASI TERAKHIR "<<endl; garis2();cout<<endl;

cout<<"PADA ITERASI TERAKHIR"<<endl<<endl; for(a=1;a<=brs;a++)

{ garis1();cout<<endl; cout<<"DATA AKHIR BUS KE-"<<a<<endl; garis1();cout<<endl; cout<<"delta dho["<<a<<"] = "<<delta_dho[a][iterasi]<<endl; cout<<"delta V["<<a<<"] = "<<delta_V[a][iterasi]<<endl; cout<<"V["<<a<<"] = "<<V[a][iterasi]<<endl; cout<<"dho["<<a<<"] = "<<dho[a][iterasi]<<endl; cout<<"P["<<a<<"] = "<<P[a][iterasi]<<endl; cout<<"Q["<<a<<"] = "<<Q[a][iterasi]<<endl;}

cout<<"Terima Kasih Telah menggunakan Program ini ^_^"<<endl;}



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metode fast decoupled newton raphson

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