Local Synchronization of Two DC/AC Converters Via Matching Control

We address the problem of local synchronization of two DC/AC converters connected via a RL line in closed-loop with machine matching control by pursuing a novel approach for the assessment of small-signal stability. Our method is defined using an oblique projection. We use this Lyapunov function to obtain a local stability certificate in the neighborhood of a well-defined set of equilibria characterized by frequency synchronization. To this end, we first reduce the fifth-order DC/AC converter model to a third-order one. Then, we investigate local stability based on Lyapunov's method performed on the linearized and reduced-order model. Moreover, we certify stability via sufficient and fully decentralized conditions that can be satisfied by choosing an appropriate operating point and control gains. Finally, we demonstrate our results using numerical simulations