Abstract
This paper presents a sequential convex optimization model for operating an active distribution network in island mode when there is a lack of generation. The proposed model seeks to match the available generation with the load (minimizing the total unsupplied demand). Moreover, it considers generation capacity, bounds of voltage, and the effect of the frequency in the nodal admittance matrix. Distributed generation units are equipped with power-electronics converters with direct or inverse droops, commonly used for the primary control in grids according to the r/x ratio. Numerical results demonstrate the efficiency and precision of the proposed algorithm, which allows the operation under a deficit of generation and regular operation.
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