A Two-Stage Approach for a Mixed-Integer Economic Dispatch Game in Integrated Electrical and Gas Distribution Systems

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We formulate for the first time the economic dispatch problem among prosumers in an integrated electrical and gas distribution system (IEGDS) as a game equilibrium problem. Specifically, by approximating the nonlinear gas-flow equations either with a mixed-integer second-order cone (MISOC) or a piecewise affine (PWA) model and by assuming that electricity and gas prices depend linearly on the total consumption, we obtain a potential mixed-integer game. To compute an approximate generalized Nash equilibrium (GNE), we propose an iterative two-stage method that exploits a problem convexification and the gas-flow models. We quantify the quality of the computed solution and perform a numerical study to evaluate the performance of our method.

Original languageEnglish
Pages (from-to)1-13
JournalIEEE Transactions on Control Systems Technology
Publication statusAccepted/In press - 29 Aug 2023


  • Aggregates
  • Computational modeling
  • Cost function
  • Costs
  • Economic dispatch
  • Games
  • generalized mixed-integer games
  • Generators
  • integrated electrical and gas systems (IEGSs)
  • Mathematical models

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