In this work, the authors are considering the problem of compensation of harmonic current absorbed by a non-linear load from a three-phase grid voltage. The objective is twofold: the first is to reduce cost and control complexity by avoiding proportional-integral regulators and optimising measurement instrumentation while ensuring inverter capacitor voltage selfbalance and the second is to provide a robust control strategy against power grid problems. Without measuring current and capacitor voltages, the proposed control strategy generates accurate control signals able to ensure flying capacitor inverter selfbalance and full compensation of harmonics whatever the grid voltage problem. In this regard, the robustness of the proposed control against power grid problem such as sag, swell, grid voltage unbalance, and frequency variation have been tested while proving its efficiency to compensate for harmonic currents and ensuring capacitor voltage natural balance even in transient regimes. During balanced and unbalanced loads, the proposed method has exhibited an excellent transient response, represented by capacitor voltages tracking to their reference in the presence of large variation in the load. Finally, effectiveness of the proposed control strategy is verified by numerical simulations as well as realistic experiments, and its merits are showed in comparison with other methods. * = V * c i, j I * c i, j reference capacitor power I d non-linear load current R, L load resistive-inductive load

No abstract