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

Wicak Ananduta; Sergio Grammatico

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arXiv · 2206.01098

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

Wicak Ananduta·Sergio Grammatico

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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 compared with respect to the state-of-the-art method via numerical simulations.

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Wicak Ananduta, Sergio Grammatico. 2022-06-02. Approximate solutions to the optimal flow problem of multi-area integrated electrical and gas systems. https://arxiv.org/abs/2206.01098

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