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arXiv · 2407.05558

Hidden Convexity-Based Distributed Operation of Integrated Electricity-Gas Systems

Rong-Peng Liu·Yue Song·Junhong Liu·Xiaozhe Wang·Jinpeng Guo·Yunhe Hou
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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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Rong-Peng Liu, Yue Song, Junhong Liu, Xiaozhe Wang, Jinpeng Guo, Yunhe Hou. 2024-07-08. Hidden Convexity-Based Distributed Operation of Integrated Electricity-Gas Systems. https://arxiv.org/abs/2407.05558

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