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Multi-Area Reserve Dimensioning using Chance-Constrained Optimization

Author

Listed:
  • Papavasiliou, Anthony

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

  • Bouso, Alberte
  • Apelfröjd, Senad
  • Wik, Ellika
  • Gueuning, Thomas
  • Langer, Yves

Abstract

We propose a chance-constrained formulation for the problem of dimensioning frequency restoration reserves on a power transmission network. We cast our problem as a two-stage stochastic mixed integer linear program, and propose a heuristic algorithm for solving the problem. Our model accounts for the simultaneous sizing of both upward and downward reserves, and uncertainty driven by imbalances, contingencies and available transmission capacity. Our core methodology is further adapted in order to minimize inter-zonal flows and in order to split reserve requirements between automatic and manual frequency restoration reserves. We apply our methodology to the problem of sizing reserves in the four load frequency control areas of the Swedish power system. We demonstrate the benefits of our method in terms of decreasing reserve requirements in the absence of reserve sharing, we analyze the spatial allocation of reserves, and we perform various sensitivity analyses.

Suggested Citation

  • Papavasiliou, Anthony & Bouso, Alberte & Apelfröjd, Senad & Wik, Ellika & Gueuning, Thomas & Langer, Yves, 2021. "Multi-Area Reserve Dimensioning using Chance-Constrained Optimization," LIDAM Reprints CORE 3190, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:3190
    DOI: http://10.1109/TPWRS.2021.3133102
    Note: In: IEEE Transactions on Power Systems, 2022
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    Cited by:

    1. Anthony Papavasiliou, 2021. "An Overview of Probabilistic Dimensioning of Frequency Restoration Reserves with a Focus on the Greek Electricity Market," Energies, MDPI, vol. 14(18), pages 1-19, September.

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