Dual active bridge (DAB) DC/DC converters are widely employed in various applications. Due to their advantageous features, including good electrical isolation, high power density, and bidirectional power flow capability. However, the increasing demand for high voltage levels and large power capacities necessitates the adoption of multilevel circuits to enhance DAB performance while reducing complexity. This paper proposes a multilevel DAB converter with a five-level T-type architecture on the primary side, or the high-voltage side, and a two-level architecture on the secondary side, or the low-voltage side. Furthermore, to reduce backflow power and current stress, a switching algorithm is proposed in which control variables are optimized. The complete architecture with the proposed control strategy has been developed in the laboratory. The typical experimental results are also presented.