{ "id": "1904.08840", "version": "v1", "published": "2019-04-18T15:22:23.000Z", "updated": "2019-04-18T15:22:23.000Z", "title": "Plug-and-play Solvability of the Power Flow Equations for Interconnected DC Microgrids with Constant Power Loads", "authors": [ "Mark Jeeninga", "Claudio De Persis", "Arjan J. van der Schaft" ], "comment": "8 pages, 2 figures, submitted to IEEE Conference on Decision and Control 2019", "categories": [ "math.OC" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2019-04-18T15:22:23.000Z" } ], "analyses": { "subjects": [ "93A99" ], "keywords": [ "power flow equations", "interconnected dc microgrids", "constant power loads", "plug-and-play solvability", "resistive dc power grid" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }