Transformerless shunt hybrid active power filter（TLS-HAPF）is a novel topology for active power filters with great practicality，especially suitable for high-voltage high-power system.Based on the analysis of the topological structure and working principle of TLS-HAPF，a novel passive control topology is proposed to enhance its static and dynamic compensation effect.First，the shunt hybrid power filter is modeled in the stationary abc frame and then the model is transformed to the rotating dq frame with the aim of reducing the control complexity.Then by means of injecting adjustable damping into the system to establish its associated system and get the tracking error dynamic equation.The storage function of the closed-loop system is established and derived to prove its strict passivity.Finally，the dynamic controller is derived from the associated system and the control graph is given.The simulation performed in MATLAB and experimental results verify the new approach.