% Three-Units Test System with Valve-Point Loading Effects,
% Ramp-Rate Limits, and NOx Emission-Rates with B-coefficients
% This data is entered by: Ali R. Al-Roomi in the 23rd of April, 2016
% Refer to http://www.al-roomi.org for more details about this system

% The system data 
n=3; % number of units
Load=850; % Load Demand (in MW)
Pmin=[100;100;50]; % for P1, P2 and P3 (in MW)
Pmax=[600;400;200]; % for P1, P2 and P3 (in MW)

% Fuel-Cost Curves Coefficients
a=[561;310;78]; % for unit 1, 2, and 3
b=[7.92;7.85;7.97]; % for unit 1, 2, and 3
c=[0.001562;0.001940;0.004820]; % for unit 1, 2, and 3

% Valve-Point Loading Effects Coefficients
d=[300;200;150]; % for unit 1, 2, and 3
e=[0.0315;0.042;0.063]; % for unit 1, 2, and 3

% NOx Emission-Rates Coefficients
Alpha=[0.04373254;0.055821713;0.027731524]; % for unit 1, 2, and 3
Beta=-10^-5*[9.4868099;9.7252878;35.373734]; % for unit 1, 2, and 3
Gamma=10^-7*[1.4721848;3.0207577;19.338531]; % for unit 1, 2, and 3

% Ramp-Rate Limits
Pnow=[440;350;170]; % for unit 1, 2 and 3
UR=[80;80;50]; % for unit 1, 2 and 3
DR=[120;120;90]; % for unit 1, 2 and 3

% B-Coefficients - Model 1 >> "Please, refer to http://www.al-roomi.org/economic-dispatch/3-units-system"
B=[0.00003;0.00009;0.00012];

% B-Coefficients - Model 2 >> "Please, refer to http://www.al-roomi.org/economic-dispatch/3-units-system"
Bij=[0.0002940,0.0000901,-0.0000507;...
0.0000901,0.0005210,0.0000953;...
-0.0000507,0.0000953,0.0006760];
B0i=[0.01890, -0.00342, -0.007660];
B00=0.40357;