The HVDC transmission affects the operation of directional protection based on power-frequency component variationfor ac transmission lines. Modeling of HVDC system suitable for analysis of the performance of directional protection based onpower-frequency component variation is developed. Considering the interaction of HVDC and AC systems, the equivalent DC- system impedance of power-frequency component variation for commutation failures in HVDC system is formulated. Themethod is used to analyze the DC-system impedance characteristics under the conditions of different commutation failures causedby different faults. Simulations based on CIGRE benchmark HVDC system testify the effectiveness of the proposed method.