An optimised power control with extended phase shift (OPC-EPS) for dual-active-bridge (DAB) dc–dc converters is proposed to improve the efficiency and dynamic performance simultaneously. By combining the current stress optimised calculation with direct power control, the smaller current stress and higher efficiency can be achieved compared to the traditional extended phase-shift scheme, and the dynamic response of DAB converters can be significantly improved under the input voltage fluctuation or load disturbance conditions. Meanwhile, the OPC-EPS scheme has strong robustness and it has no dependence on the circuit parameters. Finally, experimental results have verified the excellent performance of proposed scheme and the associated analysis in this Letter.