Distributed cooperative droop control consisting of the primary decentralizeddroop control and the {secondary} distributed correction control is studied inthis paper, which aims to achieve an exact current sharing between generators,worked in the voltage control mode, of DC microgrids. For the DC microgridswith the distributed cooperative droop control, the dynamic stability has notbeen well investigated although its steady performance has been widelyreported. This paper focuses on the stability problem and shows it isequivalent to the semistability problem of a class of second-order matrixsystems. Some further sufficient conditions as well followed. The steady stateis analyzed deeply for some special cases. A DC microgrid of three nodes issimulated on the Matlab/Simulink platform to illustrate the efficacy ofanalytic results.
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