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

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

Ananduta, W. (TU Delft Team Sergio Grammatico)
Grammatico, S. (TU Delft Team Sergio Grammatico; TU Delft Team Bart De Schutter)

2024

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.

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

http://resolver.tudelft.nl/uuid:98c12a05-57dc-49ab-b0a2-e080f753a825

https://doi.org/10.1109/TCST.2023.3304928

2024-02-29

1063-6536

IEEE Transactions on Control Systems Technology, 32 (1), 86-98

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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© 2024 W. Ananduta, S. Grammatico