Tight and Compact MILP Formulation of Start-Up and Shut-Down Ramping in Unit Commitment

Journal article (2012)

Authors

G.A. Morales Espana DC systems, Energy conversion & Storage - EEMCS , Comillas Pontifical University
Jesus M. Latorre Comillas Pontifical University
Andres Ramos Comillas Pontifical University
Research Group
DC systems, Energy conversion & Storage (EEMCS) (TU Delft)
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Published Date

29-11-2012

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Electrical Sustainable Energy

Research Group

DC systems, Energy conversion & Storage

Abstract

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.