Multi-Active Bridge (MAB) converters are the extension of the well-known Dual-Active Bridge (DAB) bidirectional DC-DC converter. This multiport structure has attracted a lot of attention recently, espe-cially for applications soliciting renewable energy sources and energy storage systems. Generally, MAB structures are based on voltage converters. However, in some cases, it could be interesting to have a current-fed input port due to load characteristics or operation constraints. This leads to a hybrid MAB structure mixing both current-fed and voltage-fed bridges. In the first part of this paper, the opera-tion of a current-fed DAB converter topology is investigated. Additionally, a continuous-time model is developed for this topology and a control strategy is proposed. In the second part, the elaborated work is generalized to a decoupled hybrid-fed MAB converter. Simulation results using Matlab/Simulink are presented to validate this study.