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Real-world hydro-power unit-commitment: Dealing with numerical errors and feasibility issues

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  • Sahraoui, Youcef
  • Bendotti, Pascale
  • D'Ambrosio, Claudia

Abstract

This article deals with feasibility issues of the hydro-unit commitment relative to units along a valley in the price-taker revenue-maximizing setting. The problem is formulated as a mixed-integer linear programming model. Besides physical constraints, we consider two additional specifications that apply to a subset of units and reservoirs within a valley, namely the power-flow curves of each unit feature discrete operational points and each reservoir level should meet target volumes. These specifications, together with the standard issues affecting real-world data, make our problem harder to solve, often infeasible. We follow a step-by-step approach to identify and repair one source of infeasibility at a time, namely numerical errors and model infeasibilities. The former is analyzed and fixed through tools like an exact solver and a model and data preprocessing. The remaining infeasibilities are eliminated with a 2-stage method. In the first stage, a minimal deviation from target volumes, i.e., strategic, thus relaxable, constraints, is computed to make the problem feasible. In the second stage, the original problem is solved with a possible deviation from the target volumes as defined in the first stage. Computational results confirm the effectiveness of the proposed method to recover feasibility on a challenging real-world test set.

Suggested Citation

  • Sahraoui, Youcef & Bendotti, Pascale & D'Ambrosio, Claudia, 2019. "Real-world hydro-power unit-commitment: Dealing with numerical errors and feasibility issues," Energy, Elsevier, vol. 184(C), pages 91-104.
    • Handle: RePEc:eee:energy:v:184:y:2019:i:c:p:91-104
    DOI: 10.1016/j.energy.2017.11.064
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    References listed on IDEAS

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    1. Olivier Guieu & John W. Chinneck, 1999. "Analyzing Infeasible Mixed-Integer and Integer Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 63-77, February.
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    Cited by:

    1. Biéron, M. & Le Dréau, J. & Haas, B., 2023. "Assessment of the marginal technologies reacting to demand response events: A French case-study," Energy, Elsevier, vol. 275(C).
    2. Lei, Kaixuan & Chang, Jianxia & Wang, Xuebin & Guo, Aijun & Wang, Yimin & Ren, Chengqing, 2023. "Peak shaving and short-term economic operation of hydro-wind-PV hybrid system considering the uncertainty of wind and PV power," Renewable Energy, Elsevier, vol. 215(C).
    3. Luca Lena Jansen & Georg Thomaßen & Georgios Antonopoulos & Ľuboš Buzna, 2022. "An Efficient Framework to Estimate the State of Charge Profiles of Hydro Units for Large-Scale Zonal and Nodal Pricing Models," Energies, MDPI, vol. 15(12), pages 1-23, June.

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