Dynamic phasor models for AC microgrids stability studies

This paper develops a dynamic phasor based model for single-source microgrids aimed at studying small-signal stability. The modeled microgrids comprise distributed generators and loads operating on a droop-control strategy. The model provides a convenient set of variables to represent the system dynamics which are readily compatible with phasor representation in magnitude and phase angle coordinates. Stability of both a grid-tied microgrid and standalone microgrid are studied. Analytical results show interesting stability boundaries in the closed form that can be used for design and operation of microgrids, supported by simulation results. The model may be readily extended to include the effects of reactive power control, power factor control, etc.