  A timely, accurate, and secure dynamic state estimation is needed for
reliable monitoring and efficient control of microgrids. The synchrophasor
technology enables us to obtain synchronized measurements in real-time and to
develop dynamic state estimators for real-time monitoring and control of
microgrids. In this study, we consider an AC microgrid comprising several
synchronous generators and inverter-interface power supplies, and focus on
securely estimating the dynamic states of the microgrid from a set of corrupted
data. We propose a dynamic state estimator which enables the microgrid operator
to reconstruct the dynamic states of the microgrid from a set of corrupted
data. Finally, we consider an AC microgrid with the same topology as the IEEE
33-bus distribution system, and numerically show that the proposed secure
estimation algorithm can accurately reconstruct the attack signals.
