Hidden Convexity-Based Distributed Operation of Integrated Electricity-Gas Systems
Abstract
We propose a hidden convexity-based method to address distributed optimal energy flow (OEF) problems for transmission-level integrated electricity-gas systems. First, we develop a node-wise decoupling method to de-compose an OEF problem into multiple OEF subproblems. Then, we propose a hidden convexity-based method to equivalently reformulate nonconvex OEF subproblems as semi-definite programs. This method differs from any ap-proximation and convexification methods that may incur infeasible solutions. Since all OEF subproblems are origi-nally convex or equivalently convexified, we adopt an ADMM to solve the hidden convexity-based distributed OEF problem with convergence analysis. Test results validate the effectiveness of the proposed method, especially in handling a large number of agents.
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Cite
@article{arxiv.2407.05558,
title = {Hidden Convexity-Based Distributed Operation of Integrated Electricity-Gas Systems},
author = {Rong-Peng Liu and Yue Song and Junhong Liu and Xiaozhe Wang and Jinpeng Guo and Yunhe Hou},
journal= {arXiv preprint arXiv:2407.05558},
year = {2024}
}
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7 pages