To cut down the ride-through cost when the near-area AC short-circuit fault occurs at the receiving-end converter(hereinafter called receiving-end AC fault) of the flexible high voltage direct current (HVDC) system integrated with wind farms, this paper proposes a fault ride-through strategy where the adaptive nearest level modulation(ANLM) strategy and the chopper resistances in wind turbines work together. After the fault occurs, the sending-end converter cooperates with the chopper resistances within wind turbines to quickly realize the aim of wind farm load reduction. Before a significant load reduction in the wind farm, the ANLM strategy increases the equivalent capacitance of the converter station by reducing the number of sub-module inputs, absorbs the accumulated unbalanced energy of the flexible HVDC power grid, limits DC overvoltage, and strives for sufficient time for wind farm load reduction. The unbalanced energy stored in the converter is gradually released after the wind farm completes load reduction. The proposed strategy can reduce the ride-through cost only by using the regulation potential of the system. Finally, based on the simulation model of PSCAD software, the effectiveness of the proposed strategy is verified by taking the most serious receiving-end AC fault scenario as an example.