Tight MIP formulations of the power-based unit commitment problem

This paper provides the convex hull description for the basic operation of slowand quick-start units in power-based unit commitment (UC) problems. The basic operating constraints that are modeled for both types of units are (1) generation limits and (2) minimum up and down times. Apart from this, the startup and shutdown processes are also modeled, using (3) startup and shutdown power trajectories for slow-start units, and (4) startup and shutdown capabilities for quick-start units. In the conventional UC problem, power schedules are used to represent the staircase energy schedule; however, this simplification leads to infeasible energy delivery, as stated in the literature. To overcome this drawback, this paper provides a power-based UC formulation drawing a clear distinction between power and energy. The proposed The work of G. Morales-España was supported by the Cátedra Iberdrola de Energía e Innovación (Spain). The work of C. Gentile was partially supported by (1) the project MINO Grant No. 316647 Initial Training Network of the “Marie Curie” program funded by the European Union and also (2) the PRIN project 2012 “Mixed-Integer Nonlinear Optimization: Approaches and Applications”. B Germán Morales-España [email protected] Claudio Gentile [email protected] Andres Ramos [email protected] 1 Department of Electrical Sustainable Energy, Delft University of Technology, 2628 CD Delft, The Netherlands 2 Istituto di Analisi dei Sistemi ed Informatica “A. Ruberti”, C.N.R., Via dei Taurini 19, 00185 Roma, Italy 3 Institute for Research in Technology (IIT) of the School of Engineering (ICAI), Universidad Pontificia Comillas, Madrid, Spain