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We consider the problem of stabilizing voltages in DC microGrids (mGs) givenby the interconnection of Distributed Generation Units (DGUs), power lines andloads. We propose a decentralized control architecture where the primarycontroller of each DGU can be designed in a Plug-and-Play (PnP) fashion,allowing the seamless addition of new DGUs. Differently from several otherapproaches to primary control, local design is independent of the parameters ofpower lines. Moreover, differently from the PnP control scheme in [1], theplug-in of a DGU does not require to update controllers of neighboring DGUs.Local control design is cast into a Linear Matrix Inequality (LMI) problemthat, if unfeasible, allows one to deny plug-in requests that might bedangerous for mG stability. The proof of closed-loop stability of voltagesexploits structured Lyapunov functions, the LaSalle invariance theorem andproperties of graph Laplacians. Theoretical results are backed up bysimulations in PSCAD.

Voltage stabilization in DC microgrids: an approach based on line-independent plug-and-play controllers