With the emergence of the "double height" features in power systems, the decline of system equivalent inertia has become a serious stability issue. Therefore, virtual inertia control on the power source, energy storage and load side to enhance system equivalent inertia has received widespread attention. Compared to the power source and energy storage sides, the load side has a large adjustable capacity and lower comprehensive cost. Therefore, this paper focuses on loadside virtual inertia control and proposes a time-invariant virtual inertia control strategy for current-source controllable rectifier loads, which solves the potential instability risk caused by time-varying inertia in traditional control methods during multi-machine operation. Finally, detailed simulation results based on PSCAD verify the effectiveness of the proposed control strategy.