Fast Graphical Analysis for Deriving Bidirectional Multi-Port DC-DC Converter Topologies

The demand for muti-port bidirectional DC-DC converters (MP-BDC) is increasing in applications like renewable energy systems and electric vehicles. However, the current topology derivation methods rely heavily on manual analysis, resulting in the slow derivation of new topologies and a limited number of existing MP-BDCs. To address these challenges, this paper proposes a fast graphical analysis (FGA) based on graph theory to replace manual analysis, introducing a rapid and systematic method for deriving topologies of single-inductor multi-port bidirectional DC-DC converters (SIMP-BDCs). The method involves two steps: exhaustively combining SIMP-BDC components and using FGA to analyze these combinations to identify feasible topologies automatically. Compared with existing methods, this method can find more SIMP -BDC topologies by considering every possible component combination and significantly reducing deriving time with the help of FGA. This method successfully derives SIMP-BDC topologies with different switch and port counts. From the derivation results, we have explored most of the existing SIMP-BDC topologies and discovered over 200 new topologies. This demonstrates that the proposed method is comprehensive and productive, offering a plethora of new topological solutions for practical applications.