Abstract
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 language | English |
|---|---|
| Pages (from-to) | 86-98 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Control Systems Technology |
| Volume | 32 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2024 |
Bibliographical note
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-careOtherwise 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.
Keywords
- Aggregates
- Computational modeling
- Cost function
- Costs
- Economic dispatch
- Games
- generalized mixed-integer games
- Generators
- integrated electrical and gas systems (IEGSs)
- Mathematical models