This paper presents the harmonic resonances prevention and compensation capabilities of three-phase fourwire center-spilt LC coupling hybrid active power filter (LCHAPF). Firstly, a single-phase harmonic equivalent circuit model of the LC-HAPF is deduced and built. Based on the circuit model, the LC-HAPF compensation characteristics are studied and analyzed in details, which shows a superior compensation characteristic compared with its pure passive power filter (PPF) part. Finally, simulation results for the pure PPF part and LC-HAPF are given to verify all the analyses.