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@ARTICLE{Wedemeyer:1038131,
      author       = {Wedemeyer, Moritz and Cramer, Eike and Mitsos, Alexander
                      and Dahmen, Manuel},
      title        = {{R}obust {E}nergy {S}ystem {D}esign via {S}emi-infinite
                      {P}rogramming},
      publisher    = {arXiv},
      reportid     = {FZJ-2025-01178},
      year         = {2024},
      abstract     = {Time-series information needs to be incorporated into
                      energy system optimization to account for the uncertainty of
                      renewable energy sources. Typically, time-series aggregation
                      methods are used to reduce historical data to a few
                      representative scenarios but they may neglect extreme
                      scenarios, which disproportionally drive the costs in energy
                      system design. We propose the robust energy system design
                      (RESD) approach based on semi-infinite programming and use
                      an adaptive discretization-based algorithm to identify
                      worst-case scenarios during optimization. The RESD approach
                      can guarantee robust designs for problems with nonconvex
                      operational behavior, which current methods cannot achieve.
                      The RESD approach is demonstrated by designing an energy
                      supply system for the island of La Palma. To improve
                      computational performance, principal component analysis is
                      used to reduce the dimensionality of the uncertainty space.
                      The robustness and costs of the approximated problem with
                      significantly reduced dimensionality approximate the
                      full-dimensional solution closely. Even with strong
                      dimensionality reduction, the RESD approach is
                      computationally intense and thus limited to small problems.},
      keywords     = {Optimization and Control (math.OC) (Other) / FOS:
                      Mathematics (Other)},
      cin          = {ICE-1},
      cid          = {I:(DE-Juel1)ICE-1-20170217},
      pnm          = {1121 - Digitalization and Systems Technology for
                      Flexibility Solutions (POF4-112) / HDS LEE - Helmholtz
                      School for Data Science in Life, Earth and Energy (HDS LEE)
                      (HDS-LEE-20190612)},
      pid          = {G:(DE-HGF)POF4-1121 / G:(DE-Juel1)HDS-LEE-20190612},
      typ          = {PUB:(DE-HGF)25},
      doi          = {10.48550/ARXIV.2411.14320},
      url          = {https://juser.fz-juelich.de/record/1038131},
}