Considering short-term variability in long-term hydropower scheduling by multi-stage Benders decomposition and residual demand functions

Abstract Balancing technical details and computational complexity is an important trade-off in long-term hydropower scheduling (LTHS) models. Rapidly increasing shares of variable renewable energy sources (VRES) challenges historical assumptions regarding the appropriate level of technical details and the representation of uncertainties in LTHS models. This work expands on previous research and formulates an efficient solution strategy to accommodate short-term variability and uncertainty into LTHS models, through gradually approximating the short-term dispatch problem per stage and under VRES uncertainty in the context of multi-stage Benders decomposition. The proposed solution strategy is embedded in an LTHS model based on stochastic dual dynamic programming and applied to a 2050 scenario of the Central and Northern European power system. We extract water values from the LTHS strategies and analyze their dependency on short-term variability.

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Publication Details

Journal
Energy Systems
Published
2026-08-03
DOI
https://doi.org/10.1007/s12667-026-00825-z
Primary Topic
Electric Power System Optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

Considering short-term variability in long-term hydropower scheduling by multi-stage Benders decomposition and residual demand functions

Birger Mo, Arild Helseth
Energy Systems
Electric Power System Optimization
article

Considering short-term variability in long-term hydropower scheduling by multi-stage Benders decomposition and residual demand functions

Birger Mo, Arild Helseth
article en

Abstract

Abstract Balancing technical details and computational complexity is an important trade-off in long-term hydropower scheduling (LTHS) models. Rapidly increasing shares of variable renewable energy sources (VRES) challenges historical assumptions regarding the appropriate level of technical details and the representation of uncertainties in LTHS models. This work expands on previous research and formulates an efficient solution strategy to accommodate short-term variability and uncertainty into LTHS models, through gradually approximating the short-term dispatch problem per stage and under VRES uncertainty in the context of multi-stage Benders decomposition. The proposed solution strategy is embedded in an LTHS model based on stochastic dual dynamic programming and applied to a 2050 scenario of the Central and Northern European power system. We extract water values from the LTHS strategies and analyze their dependency on short-term variability.

Energy Systems
SINTEF (NO), Norwegian University of Science and Technology (NO), SINTEF Energy Research (NO)
Norges Teknisk-Naturvitenskapelige Universitet, Norges Forskningsråd, St. Olavs Hospital Universitetssykehuset i Trondheim
Affordable and clean energy
Openalex Percentile: Top 17%
Electric Power System Optimization
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