There is a problem in that reactive power is large in the medium and low power range when the voltage on two sides of the transformer is mismatched under the traditional dual phase shift (DPS) modulation of a dual active bridge (DAB) converter. Thus a dual phase shift (DPS-RPS) modulation strategy is proposed to suppress the reactive power. First, the working principle of DPS-RPS modulation strategy is analyzed and a mathematical model is established. Based on the model, the current stress is optimized. Then the reactive power and current stress of DPS and DPS-RPS modulation are compared for when the current stress is at a minimum. The results show that compared with DPS modulation, DPS-RPS modulation not only decreases the reactive power, but also reduces the current stress in the medium and low power range. Finally, the feasibility and effectiveness of the proposed DPS-RPS modulation are verified by experiment. This work is supported by the National Natural Science Foundation of China (No. 61901006).