Stability of Inverters Under Droop Control in Lossy AC Microgrids with Inductive-Resistive Load

This paper analyzes the steady-state condition of frequency synchronization of inverters under droop control in a lossy AC microgrid with inductive-resistive loads. Firstly, the active power control equation of inverters with load impedance under droop control is established, and then the irrationality of the kuramoto model is illustrated. Secondly, stability condition for the frequency synchronization of inverters under droop control in lossy AC microgrids with inductive-resistive loads is derived. Finally, the proposed condition in this paper are verified by simulation.