The present work deals with the stabilization of DC grid using a resistive su-perconducting fault current limiter (r-ScFCL) in association with a classical RLC filter. Superconducting fault current limiters have been proposed to provide over-current protection during fault conditions in DC grids. However, in the present work, we focus on the behavior of the fault current limiter during unstable operation but never in fault condition. More specifically, we show that a r-ScFCL can provide a stabilizing power filter functionality when operated around its critical current I c. This is done by means of numerical simulations considering a simplified DC grid and several r-ScFCL models: piecewise linear model and power law model. It is important to note that the models used here are valid only below and around I c , and that future works will have to include a more detailed modeling of the r-ScFCL. The present results could nevertheless be useful for preliminary design of r-ScFCLs so that they can provide both current limiter and power filter functionalities in DC grids.