Three-phase series-connected VSCs are composed of three single-phase VSCs connected in series at the DC side. Compared with conventional three-phase parallel-connected VSCs, this topology reduces the number of swithing devices offectively to withstand the same DC voltage and therefore reduces the investment. Firstly, the basic principle of three-phase series- connected VSCs riding though AC faults by mean of AC power regulation are analyzed, and then considering the connections of transformer windings, the corresponding current control schemes are proposed to achieve four various control objectives under AC faults, i.e., balancing AC current, suppressing ripples of instantaneous active power, suppressing ripples of instantaneous reactive power and suppressing zero-sequence current. The approach to derive the reference currents is presented and the expressions of current references corresponding to four different control schemes are also derived. Finally, simulations are performed in PSCAD/EMTDC and the results validate the proposed control strategies.