Resilient Angle Stabilization in Converter-Interfaced Microgrids

This paper focuses on the problem of resilient phase angle stabilization and frequency synchronization in converter-based microgrids, utilizing phasor measurement units (PMUs), in the presence of false data injection (FDI) cyberattacks. The uniformly bounded cyber-attack signals are inserted to desynchronize converters and violate frequency constraints by manipulating control input channels. To tackle this issue, a resilient and robust cooperative angular control scheme is proposed by modifying the conventional angular control method and incorporating some auxiliary states interconnecting with physical states. By presenting the converter dynamics along with the proposed controller as a port-Hamiltonian (pH) system, the design considerations of the interconnection matrices are outlined. Theoretical analysis using input-output passivity and $H_{\infty}$ norm performance index are carried out to guarantee asymptotic stability and resilient frequency synchronization against FDI attacks. The performance and effectiveness of the proposed control scheme are evaluated through numerical simulations