IEEEPhasor estimation is fundamental for most real-time analysis, monitoring, and control tasks in power systems. Due to the new applications on microgrids and active distribution networks, such estimation has become increasingly important. Many research efforts focus on the manipulation of known approaches, such as the Fourier and Cosine filters to abate the estimation errors; others, rely on newly applied algorithms like the TKF. Such solutions' variety has led to discussions about the cases where each technique should be applied, normally demoting the Fourier Filter. In this spirit, the Fourier filter is reworked under the Hilbert space power theory, showing its conceptual correctness and deriving an accurate and fast alternative relying on a discrete, lead-compensated filter. The resulting technique is tested over an active distribution network system, showing advantages over relevant scenarios such as impedance estimation, grid-monitoring, and fault location. In general, the proposed filter exhibits better dynamic performance and overshoot than the conventional techniques, with no increased complexity, and "cleaner" results than the TKF, which is, however, faster to estimate system's impedances.
