Network Topology Invariant Stability Certificates for DC Microgrids With Arbitrary Load Dynamics

DC microgrids are prone to small-signal instabilities due the presence of tightly regulated loads. This paper develops a decentralized stability certificate which is capable certifying an islanded network containing such Utilizing novel homotopy approach, proposed standards ensure that no system eigenmodes able cross into unstable right half plane for continuous range controller gain levels. The resulting “standards” can be applied variety grid components meet specified, but non-unique, criteria. These thus take step towards offering plug-and-play operability microgrids. theorems explicitly illustrated and numerically validated on multiple microgrid test-cases both buck boost converter dynamics.