Abstract-One of the main challenges of the solid-state transformer (SST) lies in the implementation of the dc-dc stage. In this paper, a Quadruple-Active-Bridge (QAB) dc-dc converter is investigated to be used as basic module of a modular threestage SST. Besides the feature of high power density and softswitching operation (also found in others converters), the QAB converter provides a solution with reduced number of high frequency transformers, since more bridges are connected to the same multi-winding transformer. To ensure soft-switching for the entire operation range of the QAB converter, the triangular current mode modulation strategy, previously adopted for the dual-active-bridge converter, is extended to the QAB converter. The theoretical analysis is developed considering balanced (equal power processed by the MV cells) and unbalanced (unequal power processed by the MV cells) conditions. In order to validate the theoretical analysis developed in the paper, a 2 kW prototype was built and experimented.