Abstract
For the power-flow equation of a power network, whether a feasible power-flow solution exists is necessarily important for the correct operation of the system. Besides, it is directly related to the system’s voltage stability. Therefore, it is of great importance to investigate the existence of the feasible power-flow solution of DC microgrids, especially for those with CPLs and a large amount of distributed generations under MPPT control (MPPPT-DGs). In this paper, a mathematical power-flow equation of the DC microgrid with CPLs is built firstly. Next, a solvability condition for the power-flow equation of the DC networks considering voltage disturbance and MPPT-DGs is derived based on Brouwer’s fixed-point theorem. Moreover, simulations are performed using MALTAB to verify the effectiveness of the proposed theorem.
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