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Contingency-constrained unit commitment with post-contingency corrective recourse

Author

Listed:
  • Richard Li-Yang Chen

    (Sandia National Laboratories)

  • Neng Fan

    (University of Arizona)

  • Ali Pinar

    (Sandia National Laboratories)

  • Jean-Paul Watson

    (Sandia National Laboratories)

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.

Suggested Citation

  • Richard Li-Yang Chen & Neng Fan & Ali Pinar & Jean-Paul Watson, 2017. "Contingency-constrained unit commitment with post-contingency corrective recourse," Annals of Operations Research, Springer, vol. 249(1), pages 381-407, February.
  • Handle: RePEc:spr:annopr:v:249:y:2017:i:1:d:10.1007_s10479-014-1760-x
    DOI: 10.1007/s10479-014-1760-x
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    References listed on IDEAS

    as
    1. Yuan, Wei & Zhao, Long & Zeng, Bo, 2014. "Optimal power grid protection through a defender–attacker–defender model," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 83-89.
    2. Qipeng Zheng & Jianhui Wang & Panos Pardalos & Yongpei Guan, 2013. "A decomposition approach to the two-stage stochastic unit commitment problem," Annals of Operations Research, Springer, vol. 210(1), pages 387-410, November.
    3. Jennifer Dinter & Steffen Rebennack & Josef Kallrath & Paul Denholm & Alexandra Newman, 2013. "The unit commitment model with concave emissions costs: a hybrid Benders’ Decomposition with nonconvex master problems," Annals of Operations Research, Springer, vol. 210(1), pages 361-386, November.
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    Cited by:

    1. Kathryn M. Schumacher & Amy E. M. Cohn & Richard Li-Yang Chen, 2017. "Algorithm for the N -2 Security-Constrained Unit Commitment Problem with Transmission Switching," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 645-659, November.
    2. Harun Or Rashid Howlader & Oludamilare Bode Adewuyi & Ying-Yi Hong & Paras Mandal & Ashraf Mohamed Hemeida & Tomonobu Senjyu, 2019. "Energy Storage System Analysis Review for Optimal Unit Commitment," Energies, MDPI, vol. 13(1), pages 1-21, December.
    3. Daniel A. Zuniga Vazquez & Jose L. Ruiz Duarte & Neng Fan & Feng Qiu, 2022. "N-1-1 contingency-constrained unit commitment with renewable integration and corrective actions," Annals of Operations Research, Springer, vol. 316(1), pages 493-511, September.

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