Resilient Consensus-based Economic Dispatch Strategy for Power Security Monitoring

Consensus-based economic dispatch problem (EDP) is an important distributed optimization problem in power monitoring system, which aims to minimize the total generation cost by controlling local generation units in a distributed way. Due to the vulnerability of distributed algorithm, designing resilient algorithms to ensure the normal operation of power monitoring system under cyber-attacks is of both theoretical merits and practical values. Most existing works are confined to undirected power networks and require the assumption that the tolerable number of attacks is known to all unattacked nodes. In this paper, we relax this assumption and investigate the problem for more general directed networks. A greedy algorithm is designed to obtain the directed connected dominating set as the secure area of network. Then, a resilient consensus-based economic dispatch (RCED) algorithm is proposed to ensure the solvability of EDP under adversarial attacks. Consequently, all the attacked nodes are detected, and the remaining unattacked nodes can reach the optimal solution under a new EDP, in which the incremental cost and total generation cost are decreased. Comprehensive theoretical analysis and simulations are provided to illustrate the effectiveness of the proposed algorithm.