Robust Resilient Sparse Voltage Control of Low-Voltage DC Microgrids

This paper presents a robust resilient sparse voltage control framework for low-voltage DC microgrids consisting of multiple distributed generation (DG) units with uncertain loads. To this end, a multiple-DG DC microgrid with arbitrary topology is cast as a linear time-invariant (LTI) interconnected system subject to structured uncertainty. By means of this modeling framework, a systematic convex-optimization-based approach for the design of sparse voltage control is proposed. The proposed voltage control strategy regulates the voltage of DG units at the point of common couplings and is simultaneously robust, resilient, and sparse. The effectiveness of the proposed sparse control scheme is verified through detailed simulation case studies.