Secure Optimal LFC for Markovian Multiarea Power Systems Under FDI Attacks

This paper investigates the secure optimal load frequency control (LFC) problem for Markovian multi-area power systems under false data injection (FDI) attacks. First, by employing the Markov jump process to describe the power system’s state changes induced by FDI attacks, a Markovian multi-area power system model is constructed. Subsequently, considering the secure optimal LFC design of the Markovian multi-area power system, coupled Riccati equations (CREs) are derived. Then, to solve these CREs, an adaptive weight-dependent iteration algorithm is proposed. By progressively increasing the weight of the latest step information, the algorithm can accelerate convergence. Finally, the effectiveness of the secure LFC is validated through a simulation example of a Markovian three-area power system. Compared with the fixed weight iteration algorithm, the proposed adaptive weight-dependent iteration algorithm exhibits faster convergence and lower residuals.