# Plug-and-play Solvability of the Power Flow Equations for Interconnected DC Microgrids with Constant Power Loads

## TL;DR

This paper introduces a plug-and-play method to verify the solvability and feasibility of interconnected DC microgrids with constant-power loads, ensuring stable operation without extensive reconfiguration.

## Contribution

It provides a novel, conservative, but plug-and-play condition for guaranteeing power flow solvability and feasibility in interconnected DC microgrids with constant-power loads.

## Key findings

- Condition guarantees existence of solutions to power flow equations.
- Condition ensures microgrid feasibility upon interconnection.
- Method is plug-and-play, imposing minimal restrictions.

## 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.