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YMaker.m
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function [Ybus, Ypr] = YMaker(nnodes, yload, dload, lineBranch, trafoBranch, baseMVA)
%% Labels
[BID, ~, ~, ~, ~, ~, ~, ~, ~, ~, ~, ...
~, ~, YPD2A, YPD2B, YPD2C, YQD2A, YQD2B, YQD2C, YLSTAT]= loadIndexer;
[~, ~, ~, ~, ~, ~, ~, ~, ~, ~, ...
~, ~, ~, DPD2AB, DPD2BC, DPD2CA, DQD2AB, DQD2BC, DQD2CA, DLSTAT] = loadIndexer;
[FBUS, TBUS, R11, R12, R13, R22, R23, R33, X11, X12, X13, X22, X23, X33, ...
B11, B12, B13, B22, B23, B33, LBSTAT] = lineBranchIndexer;
[~, ~, RPU, XPU, TCONN, PTAP, STAP, TSTAT] = trafoBranchIndexer;
%% Memory allocation
nyload = size(yload,1);
ndload = size(dload,1);
nline = size(lineBranch,1);
ntrafo = size(trafoBranch,1);
Ybus_rows = zeros(36*(nline+ntrafo)+3*nyload+9*ndload,1);
Ybus_cols = zeros(36*(nline+ntrafo)+3*nyload+9*ndload,1);
Ybus_vals = zeros(36*(nline+ntrafo)+3*nyload+9*ndload,1);
Ypr1_rows = zeros(9*nline,1);
Ypr1_cols = zeros(9*nline,1);
Ypr1_vals = zeros(9*nline,1);
Ypr4_rows = zeros(36*ntrafo,1);
Ypr4_cols = zeros(36*ntrafo,1);
Ypr4_vals = zeros(36*ntrafo,1);
%% wye constant impedance loads
for n = 1:nyload
node1 = yload(n,BID);
Ybus_rows(3*n-2) = 3*node1-2; Ybus_cols(3*n-2) = 3*node1-2;
Ybus_rows(3*n-1) = 3*node1-1; Ybus_cols(3*n-1) = 3*node1-1;
Ybus_rows(3*n ) = 3*node1; Ybus_cols(3*n ) = 3*node1;
if(yload(n,YLSTAT)~=0)
Ybus_vals(3*n-2) = (yload(n,YPD2A)-1i*yload(n,YQD2A))/baseMVA;
Ybus_vals(3*n-1) = (yload(n,YPD2B)-1i*yload(n,YQD2B))/baseMVA;
Ybus_vals(3*n ) = (yload(n,YPD2C)-1i*yload(n,YQD2C))/baseMVA;
end
end
offset = 3*nyload;
%% Delta constant impedance loads
for n = 1:ndload
node1 = dload(n,BID);
Ybus_rows(9*n-8+offset) = 3*node1-2; Ybus_cols(9*n-8+offset) = 3*node1-2;
Ybus_rows(9*n-7+offset) = 3*node1-1; Ybus_cols(9*n-7+offset) = 3*node1-1;
Ybus_rows(9*n-6+offset) = 3*node1; Ybus_cols(9*n-6+offset) = 3*node1;
Ybus_rows(9*n-5+offset) = 3*node1-2; Ybus_cols(9*n-5+offset) = 3*node1-1;
Ybus_rows(9*n-4+offset) = 3*node1-1; Ybus_cols(9*n-4+offset) = 3*node1-2;
Ybus_rows(9*n-3+offset) = 3*node1-1; Ybus_cols(9*n-3+offset) = 3*node1;
Ybus_rows(9*n-2+offset) = 3*node1; Ybus_cols(9*n-2+offset) = 3*node1-1;
Ybus_rows(9*n-1+offset) = 3*node1-2; Ybus_cols(9*n-1+offset) = 3*node1;
Ybus_rows(9*n +offset) = 3*node1; Ybus_cols(9*n +offset) = 3*node1-2;
if(dload(n,DLSTAT)~=0)
Ybus_vals(9*n-8+offset) = + (dload(n,DPD2AB)-1i*dload(n,DQD2AB))/(3*baseMVA) + (dload(n,DPD2CA)-1i*dload(n,DQD2CA))/(3*baseMVA);
Ybus_vals(9*n-7+offset) = + (dload(n,DPD2BC)-1i*dload(n,DQD2BC))/(3*baseMVA) + (dload(n,DPD2AB)-1i*dload(n,DQD2AB))/(3*baseMVA);
Ybus_vals(9*n-6+offset) = + (dload(n,DPD2CA)-1i*dload(n,DQD2CA))/(3*baseMVA) + (dload(n,DPD2BC)-1i*dload(n,DQD2BC))/(3*baseMVA);
Ybus_vals(9*n-5+offset) = - (dload(n,DPD2AB)-1i*dload(n,DQD2AB))/(3*baseMVA);
Ybus_vals(9*n-4+offset) = - (dload(n,DPD2AB)-1i*dload(n,DQD2AB))/(3*baseMVA);
Ybus_vals(9*n-3+offset) = - (dload(n,DPD2BC)-1i*dload(n,DQD2BC))/(3*baseMVA);
Ybus_vals(9*n-2+offset) = - (dload(n,DPD2BC)-1i*dload(n,DQD2BC))/(3*baseMVA);
Ybus_vals(9*n-1+offset) = - (dload(n,DPD2CA)-1i*dload(n,DQD2CA))/(3*baseMVA);
Ybus_vals(9*n +offset) = - (dload(n,DPD2CA)-1i*dload(n,DQD2CA))/(3*baseMVA);
end
end
offset = 3*nyload + 9*ndload;
%% Line branches
for n = 1:nline
% One distribution line
dline = lineBranch(n,:);
Ypr1_rows(9*n-8:9*n) = [(3*n-2)*[1;1;1];(3*n-1)*[1;1;1];3*n*[1;1;1]];
Ypr1_cols(9*n-8:9*n) = [(3*n-2:3*n),(3*n-2:3*n),(3*n-2:3*n)].';
node1 = dline(FBUS); node2 = dline(TBUS);
Ybus_rows((36*n-35+offset):(36*n-27+offset)) = [(3*node1-2)*[1;1;1];(3*node1-1)*[1;1;1];3*node1*[1;1;1]];
Ybus_cols((36*n-35+offset):(36*n-27+offset)) = [(3*node1-2:3*node1),(3*node1-2:3*node1),(3*node1-2:3*node1)].';
Ybus_rows((36*n-26+offset):(36*n-18+offset)) = [(3*node2-2)*[1;1;1];(3*node2-1)*[1;1;1];3*node2*[1;1;1]];
Ybus_cols((36*n-26+offset):(36*n-18+offset)) = [(3*node2-2:3*node2),(3*node2-2:3*node2),(3*node2-2:3*node2)].';
Ybus_rows((36*n-17+offset):(36*n-9+offset)) = [(3*node1-2)*[1;1;1];(3*node1-1)*[1;1;1];3*node1*[1;1;1]];
Ybus_cols((36*n-17+offset):(36*n-9+offset)) = [(3*node2-2:3*node2),(3*node2-2:3*node2),(3*node2-2:3*node2)].';
Ybus_rows((36*n-8+offset) :(36*n+offset)) = [(3*node2-2)*[1;1;1];(3*node2-1)*[1;1;1];3*node2*[1;1;1]];
Ybus_cols((36*n-8+offset) :(36*n+offset)) = [(3*node1-2:3*node1),(3*node1-2:3*node1),(3*node1-2:3*node1)].';
if(dline(LBSTAT)~=0)
% Primitive impedance matrix from data
Zline = [dline(R11),dline(R12),dline(R13);dline(R12),dline(R22),dline(R23);dline(R13),dline(R23),dline(R33)]...
+ 1i*[dline(X11),dline(X12),dline(X13);dline(X12),dline(X22),dline(X23);dline(X13),dline(X23),dline(X33)];
% If the branch is composed by less than 3 phases, the correspondent
% only-zero rows and columns need to be removed in order to compute
% the correspondent primitive admittance matrix
nonConPhases = find(any(Zline,2)==0);
Zline = deleteRowsAndCols(Zline,nonConPhases);
% Primitive admittance matrix calculation
Yline = eye(3-length(nonConPhases))/Zline;
% Only-zero rows and columns are reinserted into the primitive
% admittance matrix
Yline = insertZerosIntoMatrix(Yline,nonConPhases);
% Primitive susceptance matrix is computed from data
Bline = 1i*[dline(B11),dline(B12),dline(B13);dline(B12),dline(B22),dline(B23);dline(B13),dline(B23),dline(B33)];
% Contribution from the distribution line is added to the Ypr
% matrix of the network in the correspondent cells
Ypr1_vals(9*n-8:9*n) = Yline(:);
% Contribution from the distribution line is added to the Ybus
% matrix of the network in the correspondent cells
Ybus_vals((36*n-35+offset):(36*n-27+offset)) = Yline(:) + Bline(:)/2;
Ybus_vals((36*n-26+offset):(36*n-18+offset)) = Yline(:) + Bline(:)/2;
Ybus_vals((36*n-17+offset):(36*n-9+offset)) = - Yline(:);
Ybus_vals((36*n-8+offset) :(36*n+offset)) = - Yline(:);
end
end
offset = 3*nyload + 9*ndload + 36*nline;
%% Transformer branches
for n = 1:ntrafo
Ypr4_rows(36*n-35:36*n-27) = [(6*n-5)*[1;1;1];(6*n-4)*[1;1;1];(6*n-3)*[1;1;1]];
Ypr4_cols(36*n-35:36*n-27) = [(6*n-5:6*n-3),(6*n-5:6*n-3),(6*n-5:6*n-3)].';
Ypr4_rows(36*n-26:36*n-18) = [(6*n-5)*[1;1;1];(6*n-4)*[1;1;1];(6*n-3)*[1;1;1]];
Ypr4_cols(36*n-26:36*n-18) = [(6*n-2:6*n),(6*n-2:6*n),(6*n-2:6*n)].';
Ypr4_rows(36*n-17:36*n-9) = [(6*n-2)*[1;1;1];(6*n-1)*[1;1;1];6*n*[1;1;1]];
Ypr4_cols(36*n-17:36*n-9) = [(6*n-5:6*n-3),(6*n-5:6*n-3),(6*n-5:6*n-3)].';
Ypr4_rows(36*n-8 :36*n) = [(6*n-2)*[1;1;1];(6*n-1)*[1;1;1];6*n*[1;1;1]];
Ypr4_cols(36*n-8 :36*n) = [(6*n-2:6*n),(6*n-2:6*n),(6*n-2:6*n)].';
node1 = trafoBranch(n,FBUS); node2 = trafoBranch(n,TBUS);
Ybus_rows((36*n-35+offset):(36*n-27+offset)) = [(3*node1-2)*[1;1;1];(3*node1-1)*[1;1;1];3*node1*[1;1;1]];
Ybus_cols((36*n-35+offset):(36*n-27+offset)) = [(3*node1-2:3*node1),(3*node1-2:3*node1),(3*node1-2:3*node1)].';
Ybus_rows((36*n-26+offset):(36*n-18+offset)) = [(3*node2-2)*[1;1;1];(3*node2-1)*[1;1;1];3*node2*[1;1;1]];
Ybus_cols((36*n-26+offset):(36*n-18+offset)) = [(3*node2-2:3*node2),(3*node2-2:3*node2),(3*node2-2:3*node2)].';
Ybus_rows((36*n-17+offset):(36*n-9+offset)) = [(3*node1-2)*[1;1;1];(3*node1-1)*[1;1;1];3*node1*[1;1;1]];
Ybus_cols((36*n-17+offset):(36*n-9+offset)) = [(3*node2-2:3*node2),(3*node2-2:3*node2),(3*node2-2:3*node2)].';
Ybus_rows((36*n-8+offset) :(36*n+offset)) = [(3*node2-2)*[1;1;1];(3*node2-1)*[1;1;1];3*node2*[1;1;1]];
Ybus_cols((36*n-8+offset) :(36*n+offset)) = [(3*node1-2:3*node1),(3*node1-2:3*node1),(3*node1-2:3*node1)].';
if(trafoBranch(n,TSTAT)~=0)
YI = eye(3);
YII = [2,-1,-1;-1,2,-1;-1,-1,2]/3;
YIII = [-1,1,0;0,-1,1;1,0,-1].'/sqrt(3); %% Transpose is used because of the column oriented indexing of MATLAB
ytr_pu = 1/(trafoBranch(n,RPU)+1i*trafoBranch(n,XPU));
switch trafoBranch(n,TCONN)
case 1 %YNyn0
Ypp = ytr_pu*YI;
Yps = -Ypp;
Ysp = -Ypp;
Yss = Ypp;
case 4 %Dd0
Ypp = ytr_pu*YII;
Yps = -Ypp;
Ysp = -Ypp;
Yss = Ypp;
case 5 %YNd1
Ypp = ytr_pu*YI;
Yps = ytr_pu*YIII;
Ysp = Yps.';
Yss = ytr_pu*YII;
case 7 %Dyn1
Ypp = ytr_pu*YII;
Yps = ytr_pu*YIII;
Ysp = Yps.';
Yss = ytr_pu*YI;
otherwise
% to be filled
end
Ypr4_vals(36*n-35:36*n-27) = Ypp/(trafoBranch(n,PTAP)^2);
Ypr4_vals(36*n-26:36*n-18) = -Yps/(trafoBranch(n,PTAP)*trafoBranch(n,STAP));
Ypr4_vals(36*n-17:36*n-9 ) = -Ysp/(trafoBranch(n,PTAP)*trafoBranch(n,STAP));
Ypr4_vals(36*n-8 :36*n ) = Yss/(trafoBranch(n,STAP)^2);
Ybus_vals((36*n-35+offset):(36*n-27+offset)) = Ypp/(trafoBranch(n,PTAP)^2);
Ybus_vals((36*n-26+offset):(36*n-18+offset)) = Yss/(trafoBranch(n,STAP)^2);
Ybus_vals((36*n-17+offset):(36*n-9+offset)) = Yps/(trafoBranch(n,PTAP)*trafoBranch(n,STAP));
Ybus_vals((36*n-8+offset) :(36*n+offset)) = Ysp/(trafoBranch(n,PTAP)*trafoBranch(n,STAP));
end
end
Ybus = sparse(Ybus_rows,Ybus_cols,Ybus_vals,3*nnodes,3*nnodes);
Ypr1 = sparse(Ypr1_rows,Ypr1_cols,Ypr1_vals,3*nline,3*nline);
Ypr2 = sparse(3*nline,6*ntrafo);
Ypr3 = sparse(6*ntrafo,3*nline);
Ypr4 = sparse(Ypr4_rows,Ypr4_cols,Ypr4_vals,6*ntrafo,6*ntrafo);
Ypr = [Ypr1,Ypr2;Ypr3,Ypr4];
end