In this paper we study the DC power flow equations of a purely resistive DC power grid which consists of interconnected DC microgrids with constant-power loads. We present a condition on the power grid which guarantees the existence of a solution to the power flow equations. In addition, we present a condition for any microgrid in island mode which guarantees that the power grid remains feasible upon interconnection. These conditions provide a method to determine if a power grid remains feasible after the interconnection with a specific microgrid with constant-power loads. Although the presented condition are more conservative than existing conditions in the literature, its novelty lies in its plug-and-play property. That is, the condition gives a restriction on the to-be-connected microgrid, but does not impose more restrictions on the rest of the power grid.
@article{arxiv.1904.08840,
title = {Plug-and-play Solvability of the Power Flow Equations for Interconnected DC Microgrids with Constant Power Loads},
author = {Mark Jeeninga and Claudio De Persis and Arjan J. van der Schaft},
journal= {arXiv preprint arXiv:1904.08840},
year = {2019}
}
Comments
8 pages, 2 figures, submitted to IEEE Conference on Decision and Control 2019