In view of the flexible interconnection system for same partition with small angle of the AC voltage, a topology scheme of a flexible interconnection device with multi-winding transformer power - taking modules (AC-AC modules) connected directly in series is adopted. This can address the problems in voltage regulation, power flow regulation, and fault recovery of the interconnected systems while balancing economy and reliability. By adding non - multi - winding transformer power - taking modules (AC-DC modules) to the series - connected flexible interconnection device, the system cost can be reduced while meeting the requirements of power flow regulation and fault blocking. However, the synthetic voltage vectors of the AC-DC modules and AC-AC modules are not same, which complicating the control strategy of the two modules. Based on the technic of feedforward correction, this paper proposes a control strategy for the mentioned flexible interconnection device with hybrid modules (AC-AC modules and AC-DC modules), applied to the medium voltage (10 kV ~ 20 kV) flexible interconnection. The simulation results, which are presented after the relevant control block diagrams are proposed, confirm the effectiveness of the control strategy.