Journal
ELECTRIC POWER SYSTEMS RESEARCH
Volume 192, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.epsr.2020.106965
Keywords
Thermoelectric power generation; Power generation dispatch; Unit commitment; Power flow; Quadratic programming; Relaxation methods
Categories
Funding
- Sao Paulo Research Foundation (FAPESP) [13/07570-7, 14/08972-4]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [13/07570-7, 14/08972-4] Funding Source: FAPESP
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In this paper, a formulation of the unit commitment problem with AC power flow constraints is presented. The problem is solved by a Benders' decomposition approach, which formulates the unit commitment master problem as a mixed-integer problem with linearized power generation constraints for improved convergence. Numerical case studies demonstrate the effectiveness of the proposed method in improving convergence quality.
In this paper we present a formulation of the unit commitment problem with AC power flow constraints. It is solved by a Benders' decomposition in which the unit commitment master problem is formulated as a mixed-integer problem with linearization of the power generation constraints for improved convergence. Semi-definite programming relaxation of the rectangular AC optimal power flow is used in the subproblem, providing somewhat conservative cuts. Numerical case studies, including a 6-bus and the IEEE 118-bus network, are provided to test the effectiveness of our proposal. We show in our numerical experiments that the use of such strategy improves the quality of feasibility and optimality cuts generated by the solution of the convex relaxation of the subproblem, therefore reducing the number of iterations required for algorithm convergence.
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