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On the Dynamic Solution of Power Flow Equations for Microgrids Control

This paper explores a Passivity-based Control scheme for islanded AC microgrids with detailed power converter dynamics. In contrast to the usual practice, it is proposed to include in the controller design the required power of the loads and the available power of the Distributed Energy Resources by means of a dynamical system whose trajectories asymptotically converge to the solution of the power flow equations. The stability properties of the closed–loop system are formally proved while its usefulness is illustrated numerically.