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An islanded microgrid supplied by multiple distributed energy resources(DERs) often employs droop-control mechanisms for power sharing. Becausemicrogrids do not include inertial elements, and low pass filtering of noisymeasurements introduces lags in control, droop-like controllers may posesignificant stability concerns. This paper aims to understand the effects ofdroop-control on the small-signal stability and transient response of themicrogrid. Towards this goal, we present a compendium of results on thesmall-signal stability of droop-controlled inverter-based microgrids withheterogeneous loads, which distinguishes: (1) lossless vs. lossy networks; (2)droop mechanisms with and without filters, and (3) mesh vs. radial networktopologies. Small-signal and transient characteristics are also studied usingmultiple simulation studies on IEEE test systems

Small-Signal Stability Analysis for Droop-Controlled Inverter-based Microgrids with Losses and Filtering