Admittance-shaped H∞ current controller for grid-connected VSC

This paper introduces an H∞ current controller that allows the shaping of power converters' input admittance in frequency domain, allowing to define not only its magnitude but also its phase. In addition to admittance shaping, some current tracking specification are also introduced to the algorithm demonstrating that both admittance shaping and tracking performance are possible, but not at the same frequencies. The correct performance (both in time and frequency domain) of the proposed method is demonstrated in an L-filter grid-connected single-phase VSC.