Abstract
We formulate the optimal flow problem in a multi-area integrated electrical and gas system as a mixed-integer optimization problem by approximating the non-linear gas flows with piece-wise affine functions, thus resulting in a set of mixed-integer linear constraints. For its solution, we propose a novel algorithm that consists in one stage for solving a convexified problem and a second stage for recovering a mixed-integer solution. The latter exploits the gas flow model and requires solving a linear program. We provide an optimality certificate for the computed solution and show the advantages of our algorithm with respect to the state-of-the-art method via numerical simulations.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the IEEE 61st Conference on Decision and Control (CDC 2022) |
| Publisher | IEEE |
| Pages | 1835-1840 |
| ISBN (Print) | 978-1-6654-6761-2 |
| DOIs | |
| Publication status | Published - 2022 |
| Event | IEEE 61st Conference on Decision and Control (CDC 2022) - Cancún, Mexico Duration: 6 Dec 2022 → 9 Dec 2022 |
Conference
| Conference | IEEE 61st Conference on Decision and Control (CDC 2022) |
|---|---|
| Country/Territory | Mexico |
| City | Cancún |
| Period | 6/12/22 → 9/12/22 |
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
- Computational modeling
- Fluid flow
- Games
- Approximation algorithms
- Numerical simulation
- Mathematical models
- Numerical models