The Existence Condition for Power-Flow Considering Current Constraints and Control Objectives of DC Microgrids with CPLs under Distributed Control

High-precision current sharing and voltage regulation are the objects of a DC microgrid. In addition, a feasible power solution is the key to the stable operation of DC microgrid. Therefore, it is important to investigate the existence of the feasible power-flow solution of DC microgrid, especially for those contain m CPLs. In this paper, a distributed control method is proposed to achieve current sharing and voltage regulation. On this basis, a power-flow equation of the DC microgrid considering current constraints with n DGs and m CPLs is built. Then, under the limitation of currents of DGs, the sufficient solvability conditions are obtained based on Brouwer's fixed-point theorem. Last, simulation results verify the feasibility of the proposed theorems.