Resilient Collaborative Distributed AC Optimal Power Flow Against False Data Injection Attacks: A Theoretical Framework

The cybersecurity of the distributed AC optimal power flow (ACOPF) against false data injection attacks (FDIA) is investigated in this paper. A collaborative distributed ACOPF solver, rooted in the dual decomposition concept, is first formulated, based on which a theoretical framework is then developed to model the distributed ACOPF and its cybersecurity in the presence of FDIA. Under this proposed cybersecurity framework, a reputation-based peer-to-peer trust management system (TMS) is proposed to secure the resilience of the system against FDIA. Finally, the proposed TMS is validated on the IEEE 69-bus benchmark system. The primary contribution of this paper is the proposed holistic resilience framework, in which the FDIA is analytically assessed and effectively defended. In the analytical results, we have established two key propositions: the FDIA generally has one degree of freedom; and the FDIA can be effectively detected and mitigated using the proposed TMS with one-hop redundancy.