Large Signal Stability Analysis Based on Takagi-Sugeno Modeling for State Feedback Control of DC Microgrids

DC microgrids have attracted more and more attention in recent years due to their unique advantages such as simpler structure, higher efficiency, and lower cost, compared with AC microgrids. However, high penetration of distributed energy resources, high adoption of power electronic converters and variation of loads render DC microgrids weak to disturbances, especially in large signal sense. This paper proposes a large signal stability analysis method based on Takagi-Sugeno fuzzy modeling for state feedback control of DC microgrids. Combined with Takagi-Sugeno modeling, quadratic Lyapunov function and linear matrix inequality, the large signal stability criterion of DC microgrids is derived, and the region of asymptotic is estimated as well. In addition, the influence of state feedback control parameters on the stability of DC microgrids are studied. In order to verify the effectiveness of state feedback control and large signal stability analysis, a 48 V DC microgrid is designed for simulation verification.