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Algorithm for the N -2 Security-Constrained Unit Commitment Problem with Transmission Switching

Author

Listed:
  • Kathryn M. Schumacher

    (Operations Research, Research and Development, General Motors, Warren, Michigan 48092)

  • Amy E. M. Cohn

    (Industrial and Operations Engineering Department, University of Michigan, Ann Arbor, Michigan 48109)

  • Richard Li-Yang Chen

    (Industrial and Operations Engineering Department, University of Michigan, Ann Arbor, Michigan 48109; and Quantitative Modeling and Analysis, Sandia National Laboratories, Livermore, California 94551)

Abstract

Most power grid systems are operated to be N -1 secure, meaning that the system can withstand the failure of any one component. There is increasing interest in more stringent security standards, where the power grid must be able to survive the (nearly) simultaneous failure of k components (i.e., N - k ). However, this improved reliability criterion significantly increases the number of contingency scenarios that must be considered when solving the unit commitment problem. Additional computational complexity is introduced when taking into account transmission switching. This relatively inexpensive method of redirecting power flows in the grid has been proposed as a way of introducing flexibility to better survive failure events. We present an algorithm for solving the unit commitment problem that simultaneously addresses both the challenges of the N - k security requirement and the use of transmission switching during operation. We analyze the algorithmic performance and present computational results for the IEEE24 and RTS-96 test systems for k = 1 and 2. We also include a discussion of how this approach might be extended to solve problems with k ≥ 3.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:orijoc:v:29:y:2017:i:4:p:645-659
    DOI: 10.1287/ijoc.2017.0751
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    References listed on IDEAS

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    1. Jean-Paul Watson & David Woodruff, 2011. "Progressive hedging innovations for a class of stochastic mixed-integer resource allocation problems," Computational Management Science, Springer, vol. 8(4), pages 355-370, November.
    2. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    3. Yang Yuan & Suvrajeet Sen, 2009. "Enhanced Cut Generation Methods for Decomposition-Based Branch and Cut for Two-Stage Stochastic Mixed-Integer Programs," INFORMS Journal on Computing, INFORMS, vol. 21(3), pages 480-487, August.
    4. 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.
    5. Lewis Ntaimo, 2013. "Fenchel decomposition for stochastic mixed-integer programming," Journal of Global Optimization, Springer, vol. 55(1), pages 141-163, January.
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    Cited by:

    1. Jianqiu Huang & Kai Pan & Yongpei Guan, 2021. "Multistage Stochastic Power Generation Scheduling Co-Optimizing Energy and Ancillary Services," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 352-369, January.
    2. Cheng Lu & Zhibin Deng & Shu-Cherng Fang & Qingwei Jin & Wenxun Xing, 2022. "Fast computation of global solutions to the single-period unit commitment problem," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1511-1536, October.

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