DC microgrids are prone to small-signal instabilities due to the presence of tightly regulated loads. This paper develops a decentralized stability certificate which is capable of certifying the small-signal stability of an islanded DC network containing such loads. Utilizing a novel homotopy approach, the proposed standards ensure that no system eigenmodes are able to cross into the unstable right half plane for a continuous range of controller gain levels. The resulting "standards" can be applied to variety of grid components which meet the specified, but non-unique, criteria. These standards thus take a step towards offering plug-and-play operability of DC microgrids. The proposed theorems are explicitly illustrated and numerically validated on multiple DC microgrid test-cases containing both buck and boost converter dynamics.
@article{arxiv.2011.06707,
title = {Network Topology Invariant Stability Certificates for DC Microgrids with Arbitrary Load Dynamics},
author = {Samuel Chevalier and Federico Martin Ibanez and Kathleen Cavanagh and Konstantin Turitsyn and Luca Daniel and Petr Vorobev},
journal= {arXiv preprint arXiv:2011.06707},
year = {2021}
}