Abstract

This express brief shows a convex quadratic approximation for the optimal power flow (OPF) in direct-current microgrids (dc- ${\mu }$ Grid) via Taylor’s series expansion. This approach can be used for solving OPF problems on radial and meshed dc- ${\mu }$ Grids with multiple constant power terminals, allowing to cover a wide range of configurations. Two test dc- ${\mu }$ Grids with 10 and 21 nodes were used to validate the proposed model. Nonlinear large-scale solvers were employed to compare the proposed linearization with the conventional nonlinear nonconvex model.

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