electricity market equilibrium models

Gamma-Robust Electricity Market Equilibrium Models with Transmission and Generation Investments

  • Emre Çelebi
  • Vanessa Krebs
  • Martin Schmidt
    • Categories Applications - OR and Management Sciences, Robust Optimization Tags , , , ,

    We consider uncertain robust electricity market equilibrium problems including transmission and generation investments. Electricity market equilibrium modeling has a long tradition but is, in most of the cases, applied in a deterministic setting in which all data of the model are known. Whereas there exist some literature on stochastic equilibrium problems, the field of robust … Read more

    Strictly and Γ-Robust Counterparts of Electricity Market Models: Perfect Competition and Nash-Cournot Equilibria

  • Anja Kramer
  • Vanessa Krebs
  • Martin Schmidt
    • Categories Finance and Economics, Game Theory, Robust Optimization Tags , , , ,

    This paper mainly studies two topics: linear complementarity problems for modeling electricity market equilibria and optimization under uncertainty. We consider both perfectly competitive and Nash–Cournot models of electricity markets and study their robustifications using strict robustness and the Γ-approach. For three out of the four combinations of economic competition and robustification, we derive algorithmically tractable … Read more