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On the Stability of DC Microgrids with Two Constant Power Devices

This paper studies the stability of dc microgrids in the plane. We determine exact conditions for the existence of equilibrium points in the first quadrant and classify these equilibrium according to the stability. Our study is limited to dc microgrids with two constant power devices under a masterslave control strategy. Each of these constant power devices could generate or demand energy. We demonstrate there is only one equilibrium point in the former case whereas there are several equilibrium points in the latter case. Numerical simulations complement the theoretical results.