LCL-type resonant dual-active-bridge (LCL-DAB) DC-DC converters have more significant advantages in eliminating backflow power and achieving higher voltage gain compared with traditional dual active bridge (DAB) DC-DC converters. Therefore, LCL-DAB DC-DC converters have a broad application prospect in DC micro-grids, electric vehicles, uninterruptible power supplies etc. Since at this stage only a few researches on LCL-DAB DC-DC converters have been done, here, the specific system operation region with triplephase-shift (TPS) modulation scheme designed under no backflow power is presented. Furthermore, a dynamic compensation based feedforward control method under no backflow power is proposed, which enables the LCL-DAB DC-DC converter to operate under no backflow power in wide region and achieve outstanding dynamic performance against output/input disturbance. Finally, the experimental results verify the feasibility and effectiveness of the proposed control method.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.