Stochastic Stability Analysis Method for DC Microgrids Based on Theories of Moment Stability and Stochastic Integral
摘要
DC microgrids are important components of modern power systems. They integrate distributed energy resources and enhance power supply flexibility. However, they face significant challenges. The randomness of internal parameters and external disturbances can severely affect the bus voltage and overall stability of DC microgrids. To address the stochastic stability problem of DC microgrids caused by internal parameters or external stochastic perturbations, this study proposes a stochastic stability analysis method based on the moment stability and stochastic integral theories. First, the system state equations of the DC microgrid, described by stochastic differential equations, are established. Next, the analytical solution of the state equation is derived using the Ito formula, and a mathematical model of mean-square stability is constructed based on the moment stability theory. Simulation results demonstrate that the proposed stability analysis method under stochastic excitation can directly solve the system’s stochastic state equations and analyze the stochastic stability of the DC microgrid in a simpler and more direct manner.