Abstract: Aiming at the high current stress and poor dynamic characteristics of the traditional PI control in single phase shift control of dual active bridge DC-DC converters, this paper proposes a current stress optimization scheme combining linear active disturbance rejection control (LADRC) with direct power control under the extended phase shift (EPS) control with a consideration of current stress and dynamic characteristics of the optimized converters. The global optimal solution of the current stress is derived by establishing a mathematical model under each state of the EPS. The LADRC is introduced into the voltage loop and combined with the DTC. The per unit value of the transmission power is output to the current stress optimization algorithm to calculate the corresponding phase shifting angle. The simulation and the experiment results show that the proposed optimal control strategy can improve the dynamic response of the converter while reducing the current stress.