Contingency-constrained unit commitment with post-contingency corrective recourse

Richard Li-Yang Chen (), Neng Fan (), Ali Pinar () and Jean-Paul Watson ()
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Richard Li-Yang Chen: Sandia National Laboratories
Neng Fan: University of Arizona
Ali Pinar: Sandia National Laboratories
Jean-Paul Watson: Sandia National Laboratories

Annals of Operations Research, 2017, vol. 249, issue 1, No 19, 407 pages

Abstract: Abstract We consider the problem of minimizing costs in the generation unit commitment problem, a cornerstone in electric power system operations, while enforcing an $$N$$ N – $$k$$ k – $$\varvec{\varepsilon }$$ ε reliability criterion. This reliability criterion is a generalization of the well-known $$N$$ N – $$k$$ k criterion and dictates that at least $$(1-\varepsilon _j)$$ ( 1 - ε j ) fraction of the total system demand (for $$j = 1,\ldots , k$$ j = 1 , … , k ) must be met following the failure of $$k$$ k or fewer system components. We refer to this problem as the contingency-constrained unit commitment problem, or CCUC. We present a mixed-integer programming formulation of the CCUC that accounts for both transmission and generation element failures. We propose novel cutting plane algorithms that avoid the need to explicitly consider an exponential number of contingencies. Computational studies are performed on several IEEE test systems and a simplified model of the Western US interconnection network. These studies demonstrate the effectiveness of our proposed methods relative to current state-of-the-art.

Keywords: Integer programming; Bi-level programming; Benders decomposition; Unit commitment; Contingency constraints (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10479-014-1760-x

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