Robust Stability Analysis of DC Microgrids
Keywords:
DC microgrids, robust stability, droop control, μ-analysis, modeling, Buck–R2P2, constant power loadAbstract
Direct current (DC) microgrids integrate renewable energy sources, energy storage systems, and electronic loads in order to improve efficiency and flexibility in energy management. However, their stability can be compromised by dynamic interactions among subsystems under different operating conditions, particularly in the presence of constant power loads (CPLs). This paper proposes a robust stability analysis based on the $\mu$-analysis framework. The main contribution is a systematic and reproducible $\mu$-analysis procedure that quantifies robust stability margins under simultaneous load uncertainties applied to DC microgrids. To demonstrate its applicability, a microgrid architecture composed of a high-order Quadratic Buck converter with reduced redundant power processing interacting with a conventional Boost converter is analyzed. Validation is carried out using switched models implemented in the PowerSim simulator under time-varying load conditions. In addition, Monte Carlo simulations are performed by sampling the load parameters to evaluate robustness under simultaneous load uncertainties. The results confirm the effectiveness of the proposed methodology for validating time-domain behavior and assessing robust stability in DC microgrids with CPLs.
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