Capacitor current active damping is a common method to achieve dissipation of current control for grid-connected converters. However, the dissipative characteristic of converter output admittance can easily be jeopardized by the capacitor voltage feedforward and the filter parameter deviation. To tackle this challenge, a design-oriented control scheme is proposed in this paper. First, a delay-based low-pass filter is inserted in the capacitor voltage path to achieve the dissipativity near the switching frequency. Then, the capacitor current damping coefficient is carefully designed in terms of the passive filter parameter deviation. Finally, the effectiveness of the proposed method is verified through the experiment.