Digital Implementation of Grid-Forming Control for Power Converters Using Artificial Delays

Dear Editor, This letter investigates the grid-forming control for power converters. Recently, grid-forming control based on matching of synchronous machines was suggested by using continuous measurements. In the present letter, we suggest a digital implementation using artificial delays where the controller employs the discrete-time measurements only. The resulting closed-loop system has additional terms due to the sampling compared with the case using the continuous measurements. We suggest appropriate Lyapunov functionals to obtain linear matrix inequalities (LMIs) for finding the upper bounds on the sampling that guarantees the globally exponential stability of a shifted equilibrium. Numerical case study illustrates the efficiency of the method.