2019/04/18 by Mark Jeeninga, Claudio De Persis, Jeeninga, Mark +3
Engineering · #93A99 #FOS: Mathematics #Frequency Control in Power Systems #Microgrid Control and Optimization #Optimal Power Flow Distribution #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1904.08840
openalex publication_date 2019/04/18 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
In this paper we study the DC power flow equations of a purely resistive DC\npower grid which consists of interconnected DC microgrids with constant-power\nloads. We present a condition on the power grid which guarantees the existence\nof a solution to the power flow equations. In addition, we present a condition\nfor any microgrid in island mode which guarantees that the power grid remains\nfeasible upon interconnection. These conditions provide a method to determine\nif a power grid remains feasible after the interconnection with a specific\nmicrogrid with constant-power loads. Although the presented condition are more\nconservative than existing conditions in the literature, its novelty lies in\nits plug-and-play property. That is, the condition gives a restriction on the\nto-be-connected microgrid, but does not impose more restrictions on the rest of\nthe power grid.\n