Because of the unignoring line-impedance, distorted grid voltage, high penetration and the increased parallel-connected grid-connected converters (GCC) in vehicle-to-grid (V2G) system, the stability of the grid with electric vehicle (EV) faces new challenges. To deal with the stability problem, this paper proposes a numerator-denominator-model (NDM) based H-infinity controller combined with an adaptive capacitive-current-feedback active damping method with explicitly robust stability in terms of variations on filter parameters, time-delay and grid-impedance. Simulation results are investigated in two parallel-connected GCC in EV and show the validity of the proposed method.

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