Approximate solutions to the optimal flow problem of multi-area integrated electrical and gas systems

Conference paper (2022)

Authors

W. Ananduta Team Sergio Grammatico - Mechanical, Maritime and Materials Engineering
S. Grammatico Team Sergio Grammatico - Mechanical, Maritime and Materials Engineering , Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Research Group
Team Sergio Grammatico (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2022 W. Ananduta, S. Grammatico
DOI: https://doi.org/10.1109/CDC51059.2022.9992716
Fluid flow Games Approximation algorithms Numerical models Numerical simulation Computational modeling Mathematical models
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Published Date

2022

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Sergio Grammatico

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.