Global Asymptotic Stability of Submodule Capacitor Voltage Self-converging Modular Multilevel Converters Based on Characteristic Root Method

Abstract This study presents global asymptotic stability verification of submodule capacitor voltage self-converging modular multilevel converters (SC-MMCs) according to the characteristic root method, which constructs a switching state matrix for balancing control. The mathematical model MMC is established in form state-space equation. It proved that SC-MMCs have at certain time from perspective roots, theories Lyapunov and continuous-time piecewise linear system stability. Then, self-convergence over period deduced based on deviation vector. Under constraints linearly independent row vectors, without real-time calculation feedback can be achieved. efficacy are testified by simulations.