CASE3SC Power flow data for 3-bus system used in [1]. Please see CASEFORMAT for details on the case file format. The semidefinite relaxation of the OPF problem successfully solves case3sc with a value of 60 MVA for the line-flow limit on the line from bus 3 to bus 2. The semidefinite relaxation fails to give a physically meaningful solution to case3sc with a value of 50 MVA for the line-flow limit on this line. See [1] for further details. [1] B.C. Lesieutre, D.K. Molzahn, A.R. Borden, and C.L. DeMarco, "Examining the Limits of the Application of Semidefinite Programming to Power Flow Problems," In 49th Annual Allerton Conference on Communication, Control, and Computing, 2011, September 28-30 2011.
0001 function mpc = case3sc 0002 %CASE3SC Power flow data for 3-bus system used in [1]. 0003 % Please see CASEFORMAT for details on the case file format. 0004 % 0005 % The semidefinite relaxation of the OPF problem successfully solves 0006 % case3sc with a value of 60 MVA for the line-flow limit on the line from 0007 % bus 3 to bus 2. The semidefinite relaxation fails to give a physically 0008 % meaningful solution to case3sc with a value of 50 MVA for the line-flow 0009 % limit on this line. See [1] for further details. 0010 % 0011 % [1] B.C. Lesieutre, D.K. Molzahn, A.R. Borden, and C.L. DeMarco, 0012 % "Examining the Limits of the Application of Semidefinite 0013 % Programming to Power Flow Problems," In 49th Annual Allerton 0014 % Conference on Communication, Control, and Computing, 2011, 0015 % September 28-30 2011. 0016 0017 mpc.version = '2'; 0018 0019 %----- Power Flow Data -----%% 0020 % system MVA base 0021 mpc.baseMVA = 100; 0022 0023 % bus data 0024 % bus_i type Pd Qd Gs Bs area Vm Va baseKV zone Vmax Vmin 0025 mpc.bus = [ 0026 1 3 110 40 0 0 1 1 0 345 1 1.1 0.9; 0027 2 2 110 40 0 0 1 1 0 345 1 1.1 0.9; 0028 3 2 95 50 0 0 1 1 0 345 1 1.1 0.9; 0029 ]; 0030 0031 % generator data 0032 % bus Pg Qg Qmax Qmin Vg mBase status Pmax Pmin Pc1 Pc2 Qc1min Qc1max Qc2min Qc2max ramp_agc ramp_10 ramp_30 ramp_q apf 0033 mpc.gen = [ 0034 1 0 0 300 -300 1 100 1 1e3 0 0 0 0 0 0 0 0 0 0 0 0; 0035 2 0 0 300 -300 1 100 1 1e3 0 0 0 0 0 0 0 0 0 0 0 0; 0036 3 0 0 300 -300 1 100 1 0.0001 -0.0001 0 0 0 0 0 0 0 0 0 0 0; % Synchronous condensor 0037 ]; 0038 0039 % branch data 0040 % fbus tbus r x b rateA rateB rateC ratio angle status angmin angmax 0041 mpc.branch = [ 0042 1 3 0.065 0.62 0.45 250 250 250 0 0 1 -360 360; 0043 3 2 0.025 0.75 0.7 50 300 300 0 0 1 -360 360; % <-- change this line-flow limit to change satisfaction of semidefinite rank constraint 0044 1 2 0.042 0.900 0.3 250 250 250 0 0 1 -360 360; 0045 ]; 0046 0047 % area data 0048 % area refbus 0049 mpc.areas = [ 0050 1 1; 0051 ]; 0052 0053 % generator cost data 0054 % 1 startup shutdown n x1 y1 ... xn yn 0055 % 2 startup shutdown n c(n-1) ... c0 0056 mpc.gencost = [ 0057 2 1500 0 3 0.11 5 0; 0058 2 2000 0 3 0.085 1.2 0; 0059 2 2000 0 3 0 0 0; % Synchronous condensor 0060 ];