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

TL;DR

This paper introduces a novel hidden convexity-based approach for distributed optimal energy flow in integrated electricity-gas systems, enabling efficient and feasible solutions without approximations.

Contribution

It develops a node-wise decoupling and reformulation method that transforms nonconvex subproblems into convex semi-definite programs, facilitating distributed optimization.

Findings

Effective handling of large agent numbers

Convergence of the proposed ADMM-based method

Validation through test results

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.