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Linear programming formulations for the hydro production function in a water value calculation

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  • Guisández, Ignacio
  • Pérez-Díaz, Juan Ignacio

Abstract

The global transition toward sustainability demands improved modeling approaches for energy sources like hydroelectricity. This study compares five linear programming formulations for modeling the hydro production function: four derived from prior works (the typical method based on a single concave piecewise linear flow-power function, a new parameterization of it, the upper convex hull method, and a linear version of the logarithmic independent branching 6-stencil method) and a novel approach introduced here (the binary function method). The comparison focuses on water value calculations, and subsequent scheduling simulations, for three hypothetical hydropower plants with varying reservoir regulation capacities across three national day-ahead electricity markets, using daily and weekly stages.

Suggested Citation

  • Guisández, Ignacio & Pérez-Díaz, Juan Ignacio, 2025. "Linear programming formulations for the hydro production function in a water value calculation," Renewable Energy, Elsevier, vol. 243(C).
    • Handle: RePEc:eee:renene:v:243:y:2025:i:c:s0960148125002332
    DOI: 10.1016/j.renene.2025.122571
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