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diff --git a/3872/CH6/EX6.11/Ex6_11.jpg b/3872/CH6/EX6.11/Ex6_11.jpg Binary files differnew file mode 100644 index 000000000..8f3e16d03 --- /dev/null +++ b/3872/CH6/EX6.11/Ex6_11.jpg diff --git a/3872/CH6/EX6.11/Ex6_11.sce b/3872/CH6/EX6.11/Ex6_11.sce new file mode 100644 index 000000000..950f29af0 --- /dev/null +++ b/3872/CH6/EX6.11/Ex6_11.sce @@ -0,0 +1,152 @@ +//Book - Power System: Analysis & Design 5th Edition
+//Authors - J. Duncan Glover, Mulukutla S. Sarma, and Thomas J. Overbye
+//Chapter - 6 ; Example 6.11
+//Scilab Version - 6.0.0 ; OS - Windows
+
+clear;
+clc;
+linedata=[2 4 0.0090 0.10 1.72 //Entering line data from table 6.2 & 6.3
+ 2 5 0.0045 0.05 0.88
+ 4 5 0.00225 0.025 0.44
+ 1 5 0.00150 0.02 0.00
+ 3 4 0.00075 0.01 0.00];
+//enter busdata in the order type (1.slack,2.pv,3.pq),Pi,Qi,PL,QL,vmag,del,Qmin and Qmax.
+//Data is taken from table 6.1
+Busdata=[1 0 0 0 0 1 0 0 0
+ 3 0 0 8 2.8 1 0 0 0
+ 2 5.2 0 0.8 0.4 1.05 0 4 -2.8
+ 3 0 0 0 0 1 0 0 0
+ 3 0 0 0 0 1 0 0 0]
+npv=1; //Number of generator or PV buses in the system
+
+rem=Busdata(:,1);
+Psp=Busdata(:,2)-Busdata(:,4);
+Qsp=Busdata(:,3)-Busdata(:,5);
+vsp=Busdata(:,6);
+
+//Determination of bus admittance matrix:
+sb=linedata(:,1) //Starting bus number of all the lines stored in variable sb
+eb=linedata(:,2) //Ending bus number of all the lines stored in variable eb
+lz=linedata(:,3)+linedata(:,4)*%i; //lineimpedance=R+jX
+sa=linedata(:,5)*%i; //shunt admittance=jB since conductsnce G=0 for all lines
+nb=max(max(sb,eb)); //Number of buses in the system
+ybus=zeros(nb,nb);
+for i=1:length(sb)
+ m=sb(i);
+ n=eb(i);
+ ybus(m,m)=ybus(m,m)+1/lz(i)+sa(i)/2;
+ ybus(n,n)=ybus(n,n)+1/lz(i)+sa(i)/2;
+ ybus(m,n)=-1/lz(i);
+ ybus(n,m)=ybus(m,n);
+end
+Y=ybus;
+
+absY=abs(Y);
+thetaY=atan(imag(Y),real(Y));
+v=vsp';
+iteration=0; //Initialization of iteration count
+ang=zeros(1,nb);
+mismatch=ones(2*nb-2-npv,1);
+tol=1e-4; //Tolerance value for Newton Raphson Load Flow
+
+while max(abs(mismatch))>tol & iteration<100 //Maximum iteration count is limited to 100
+ J1=zeros(nb-1,nb-1);
+ J2=zeros(nb-1,nb-npv-1);
+ J3=zeros(nb-npv-1,nb-1);
+ J4=zeros(nb-npv-1,nb-npv-1);
+ P=zeros(nb,1);
+ Q=P;
+ del_P=Q;
+ del_Q=Q;
+ del_del=zeros(nb-1,1);
+ del_v=zeros(nb-1-npv,1);
+ ang;
+ mag=abs(v);
+ for i=2:nb
+ for j=1:nb
+ P(i)=P(i)+mag(i)*mag(j)*absY(i,j)*cos(thetaY(i,j)-ang(i)+ang(j));
+ if rem(i)~=2
+ Q(i)=Q(i)+mag(i)*mag(j)*absY(i,j)*sin(thetaY(i,j)-ang(i)+ang(j));
+ end
+ end
+ end
+//Q=-1*Q;
+del_P=Psp-P;
+del_Q=Qsp-Q;
+for i=2:nb
+ for j=2:nb
+ if j~=i
+ J1(i-1,j-1)=-mag(i)*mag(j)*absY(i,j)*sin(thetaY(i,j)-ang(i)+ang(j));
+ J2(i-1,j-1)=mag(i)*absY(i,j)*cos(thetaY(i,j)-ang(i)+ang(j));
+ J3(i-1,j-1)=-mag(i)*mag(j)*absY(i,j)*cos(thetaY(i,j)-ang(i)+ang(j));
+ J4(i-1,j-1)=-mag(i)*absY(i,j)*sin(thetaY(i,j)-ang(i)+ang(j));
+ end
+ end
+end
+for i=2:nb
+ for j=1:nb
+ if j~=i
+ J1(i-1,i-1)=J1(i-1,i-1)+mag(i)*mag(j)*absY(i,j)*sin(thetaY(i,j)-ang(i)+ang(j));
+ J2(i-1,i-1)=J2(i-1,i-1)+mag(j)*absY(i,j)*cos(thetaY(i,j)-ang(i)+ang(j));
+ J3(i-1,i-1)=J3(i-1,i-1)+mag(i)*mag(j)*absY(i,j)*cos(thetaY(i,j)-ang(i)+ang(j));
+ J4(i-1,i-1)=J4(i-1,i-1)+mag(j)*absY(i,j)*sin(thetaY(i,j)-ang(i)+ang(j));
+ end
+ end
+ J2(i-1,i-1)=2*mag(i)*absY(i,i)*cos(thetaY(i,i))+J2(i-1,i-1);
+ J4(i-1,i-1)=-2*mag(i)*absY(i,i)*sin(thetaY(i,i))-J4(i-1,i-1);
+ end
+J=[J1 J2;J3 J4] //Entire Jacobian matrix of the system
+lenJ=length(J1);
+i=2;
+j=1;
+while j<=lenJ
+ if rem(i)==2
+ j=j+1;
+ else
+ J(:,length(J1)+j)=[];
+ lenJ=lenJ-1;
+ end
+end
+i=i+1;
+lenJ=length(J1);
+i=1;
+j=2;
+while i<=lenJ
+ if rem(j)==3
+ i=i+1;
+ else
+ J(length(J1)+i,:)=[];
+ lenJ=lenJ-1;
+ Q(i+1)=[]
+ del_Q(i+1,:)=[]
+ end
+ end
+P(1,:)=[] //Removing slack bus entries
+Q(1,:)=[]
+del_P(1,:)=[];
+del_Q(1,:)=[];
+mismatch=[del_P;del_Q];
+del=J\mismatch;
+del_del=del(1:nb-1);
+del_v=del(nb:length(del));
+ang=ang(2:nb)+del_del'; //Updating voltage angle for PV and PQ buses
+j=1;
+for i=2:nb //Step to update voltage magnitude for all PQ buses
+ if rem(i)==3
+ v(i)=v(i)+del_v(j);
+ j=j+1;
+ end
+end
+mag=abs(v);
+ang=[0 ang];
+nbr=1:nb;
+iteration=iteration+1;
+if iteration==1
+ [r c]=size(J);
+ printf('The size of the Jacobian matrix is %d X %d\n',r,c)
+ printf('The change in power at the end of first iteration is DelP2=%.4f pu\n',del_P(1))
+ printf('The Jacobian matrix element J1(2,4) after first iteration is: %.4f pu\n',J(1,3))
+ disp(J,'The Jacobian Matrix of the system at the end of first iteration is given by:')
+end
+end
+
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