TY - JOUR
T1 - Tight and Compact MILP Formulation of Start-Up and Shut-Down Ramping in Unit Commitment
AU - Morales-España, Germán
AU - Latorre, Jesus M.
AU - Ramos, Andres
PY - 2012/11/29
Y1 - 2012/11/29
N2 - This paper presents a mixed-integer linear programming (MILP) formulation of start-up (SU) and shut-down (SD) power trajectories of thermal units. Multiple SU power-trajectories and costs are modeled according to how long the unit has been offline. The proposed formulation significantly reduces the computational burden in comparison with others commonly found in the literature. This is because the formulation is 1) tighter, i.e., the relaxed solution is nearer to the optimal integer solution; and 2) more compact, i.e., it needs fewer constraints, variables and nonzero elements in the constraint matrix. For illustration, the self-unit commitment problem faced by a thermal unit is employed. We provide computational results comparing the proposed formulation with others found in the literature.
AB - This paper presents a mixed-integer linear programming (MILP) formulation of start-up (SU) and shut-down (SD) power trajectories of thermal units. Multiple SU power-trajectories and costs are modeled according to how long the unit has been offline. The proposed formulation significantly reduces the computational burden in comparison with others commonly found in the literature. This is because the formulation is 1) tighter, i.e., the relaxed solution is nearer to the optimal integer solution; and 2) more compact, i.e., it needs fewer constraints, variables and nonzero elements in the constraint matrix. For illustration, the self-unit commitment problem faced by a thermal unit is employed. We provide computational results comparing the proposed formulation with others found in the literature.
KW - Mixed-integer linear programming
KW - Start-up and shut-down ramps
KW - Thermal units
KW - Unit commitment
UR - http://www.scopus.com/inward/record.url?scp=84886442362&partnerID=8YFLogxK
UR - http://resolver.tudelft.nl/uuid://a36fde78-1293-4e93-b75e-2af4e6cdec36
U2 - 10.1109/TPWRS.2012.2222938
DO - 10.1109/TPWRS.2012.2222938
M3 - Article
AN - SCOPUS:84886442362
SN - 0885-8950
VL - 28
SP - 1288
EP - 1296
JO - IEEE Transactions on Power Systems
JF - IEEE Transactions on Power Systems
IS - 2
ER -