Hidden Convexity-Based Distributed Operation of Integrated Electricity-Gas Systems
<|reference_start|>Hidden Convexity-Based Distributed Operation of Integrated Electricity-Gas Systems: 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.<|reference_end|>
@article{liu2024hidden,
    title={Hidden Convexity-Based Distributed Operation of Integrated
  Electricity-Gas Systems},
    author={Rong-Peng Liu, Yue Song, Junhong Liu, Xiaozhe Wang, Jinpeng Guo, Yunhe
  Hou},
    journal={arXiv preprint arXiv:2407.05558},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.05558},
    primaryClass={math.OC cs.SY eess.SY}
}