Comparação de abordagens de controle via LMIs usando diferentes modelagens aplicado a microrrede CC com carga de potência constante

Abstract

Direct current microgrids have been extensively studied due to their efficiency and compatibility with renewable energy sources. However, the presence of constant power loads can lead to instabilities due to the negative incremental impedance characteristic of these loads. In this context, three control methods based on linear matrix inequalities were compared in a DC MG system with constant power load using different approaches. The first method involves pole placement within a convex region formed by the intersection of three regions bounded by desired performance variables. The second method includes an additional constraint defined by the H2 norm, which utilizes a mathematical model considering power variation as a disturbance. The third method uses the same set of constraints as the second method but with a mathematical model of parametric variation to capture changes in load power. The approaches were evaluated through a load power variation test, and the analysis of the results considered both qualitative aspects of state trajectories and quantitative performance indices. The findings indicate that the inclusion of the H2 norm resulted in improved performance and system robustness against power variations.